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Jimbaran Cliffs Private Pool Hotel & Spa, Nusa Dua
- Free WiFi and free parking
- Collect nights
Jimbaran Cliffs Private Pool Hotel & Spa, Nusa Duafrom $51
- Suite, Private Pool, Bay View (Cempaka)
- Suite, Private Pool (Cempaka Cliff Edge)
- Penthouse (Sandat Cliff Edge)
- Suite, 1 King Bed, Private Pool (Cempaka Cliff Edge Construction View)
More great choices
What's around Jimbaran Cliffs Private Pool Hotel & Spa, Nusa Dua
- In Mumbul
- Tanjung Benoa - 38 min walk
- Puja Mandala - 44 min walk
- Bali Nusa Dua Convention Centre - 2.6 mi / 4.2 km
- BIMC Hospital Nusa Dua - 2.7 mi / 4.4 km
- Bali International Convention Center - 2.7 mi / 4.4 km
- Tanjung Benoa Beach - 2.8 mi / 4.5 km
- Udayana University - 2.9 mi / 4.6 km
Getting around
- Denpasar (DPS-Ngurah Rai Intl.) - 11 min drive
- Free airport shuttle
About Jimbaran Cliffs Private Pool Hotel & Spa, Nusa Dua
At a glance
Key facts
Hotel size
- This hotel has 4 rooms
- This hotel is arranged over 3 floors
- Check-in time starts at 2 PM
- Check-out time is noon
Required at check-in
- Credit card or cash deposit required
- Government-issued photo ID required
Travelling with others
- Babysitting/childcare *
- Pets allowed *
- Free WiFi in public areas
- Free WiFi in rooms
- Free airport shuttle (available 24 hours) *
- Free self parking (limited)
Payment types at the property
Other information
- Smoke-free property
In the hotel
- Full breakfast daily (surcharge)
- Restaurant
- Bar/lounge
- Room service (during limited hours)
- Barbecue grills
- Outdoor pool
- Pool cabanas (surcharge)
- Full-service spa
- Spa treatment room(s)
- 24-hour front desk
- Concierge services
- Tours/ticket assistance
- Dry cleaning/laundry service
- Laundry facilities
- Hair salon
- Luggage storage
- Multilingual staff
- Porter/bellhop
- Number of buildings/towers - 4
- Year Built - 2010
- Safe-deposit box at front desk
- Garden
- Picnic area
- Terrace
- Television in common areas
- Roll-in shower
- Wheelchair-accessible parking
- English
- Indonesian
In the room
- Air conditioning
- Ceiling fan
- Minibar
- Bathrobes
- Slippers
- Turndown service
- Sofa bed
- Premium bedding
- Pillowtop mattress
- Private pool
- Furnished balcony
- Private bathroom
- Deep soaking bathtub
- Free toiletries
- Hair dryer
- 36-inch flat-screen TV
- First-run movies
- Premium TV channels
- DVD player
- Free WiFi
- Free local calls
- Full-sized refrigerator/freezer
- Kitchen
- Stovetop
- Free bottled water
- Daily housekeeping
- In-room safe
Also popular with travelers from the USA
Special features
Intisari Spa has 2 treatment rooms including rooms for couples and outdoor treatment areas. Services include hot stone massages, facials, body wraps, and body scrubs. A variety of treatment therapies are provided, including aromatherapy, Ayurvedic, and reflexology.
The spa is open daily. Guests under 10 years old are not allowed in the spa.
Jimbaran Cliffs Private Pool Hotel & Spa, Nusa Dua's small print
Also known as
- Jimbaran Cliffs Hotel
- Jimbaran Cliffs Private Pool Hotel Spa
- Jimbaran Cliffs Private Pool &
- Jimbaran Cliffs Private Pool Hotel & Spa Resort
- Jimbaran Cliffs Private Pool Hotel & Spa Nusa Dua
- Jimbaran Cliffs Private Pool Hotel & Spa Resort Nusa Dua
- Jimbaran Cliffs Private
- Jimbaran Cliffs Private Hotel
- Jimbaran Cliffs Private Hotel Nusa Dua
- Jimbaran Cliffs Private Nusa Dua
- Jimbaran Cliffs Hotel Spa Nusa Dua
- Jimbaran Cliffs Spa Nusa Dua
- Jimbaran Cliffs Spa
- Jimbaran Cliffs Private Hotel Spa
Guests under 10 years old are not allowed in the spa.
For transfers, guests must contact the property before arrival at the number on the booking confirmation.
Optional extras
Rollaway beds are available for USD 20.00 per stay
Breakfast costs between USD 6 and USD 10 per person (approximately)
Cribs/Infant beds are available for USD 10.00 per night
Babysitting/childcare is available for an extra charge
Pets are allowed for an extra charge of USD 10 per pet, per night
We have included all charges provided to us by this property. However, charges can vary, for example, based on length of stay or the unit you book.
Didn't find the right property?Continue searching for Nusa Dua, Indonesia
Recent reviews
Good 7.6 From 13 reviews
Great place to relax. Service was good, room was clean. Food not the best and many items on the menu were unavailable, although breakfast was great!
Unbelievable service. Unbelievable property and the private room had everything we needed. The only let down was that we didn't stay longer. Best accommodation of the whole holiday.
The approach road was narrow and winding and rather scary arriving at night. Unfortunately we arrived at 11 pm and had to leave at 9am so there wasn't much to experience the room and service. Room and bathroom were spacious and well laid out but each time you take a shower the water does not drain properly and the whole room gets wet. We called in advance and requested for food upon arrival and it was served quickly. I guess unless you are in for the spa treatment one would find it rather remote as it is not a place that you can go out for a leisurely stroll.
Is the description of this hotel not correct? Tell us


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As you may have noted with all our Pilot's Logbook player reviews, we gave each of them a final grade to sum up their entire season and with the defensemen and goalies all competed for this season, here's your review of this season's group.
Players had to have played a minimum of 15 games this season to "qualify" to be graded… This was actually the requirement at mid-season as well, so I know it might be a little funny to not set that bar any higher, but for players like Paul Statsny, Nic Petan, Joe Morrow and Tucker Poolman we wanted to include them as each of them also had interesting if not brief periods spent with the Jets.
As for the grades? Nothing overly complicated or based on any kind of formulas.
An "A" is exceptional. "B" counts as very good and a stand out performance. "C" is considered average – not amazing but not too shabby either. "D" could easily stand for disappointing and performing below expectations and an "F" in any grade system is flat out failure.
Also, we factored in playoff performances as well and like any good 'final exam' in school, playoff performances were considered a little more and in some cases lifted up or brought down an overall grade.
As always, we want your thoughts as well! Are these grades and our final player reviews accurate? Agree with most, but disagree with some? Have your own grades you want to hand out? Let us know in the comments below!
Connor Hellebuyck
Midseason grade: A+
Final grade: A+
The only question left for Hellebuyck after his breakout season was whether or not he could perform in the playoffs. Hellebuyck answered this question by posting a .924 SV% in the first round including two shutouts to finish off the Minnesota Wild. This strong play continued against Nashville where Hellebuyck clearly out-dueled Rinne by finishing with a .929 SV% compared to Rinne's .900 SV%.
The Backups
Final grade: D
A year ago the Jets goaltending situation was a mess which led the Jets to getting Steve Mason in the first place. A year later and at least the starting situation is taken care of – Hellebuyck is a lock as the team's number one for the foreseeable future.
Tyler Myers
Midseason grade: C+
Final grade: C-
The biggest issue with Myers is he is a bit of an adventure in his own end of the ice. He at times gets indecisive with the puck which leads to turnovers. Offensively Myers isn't half bad, but therein lies more frustration because his brilliant moments on the offensive end of the ice can be few and far between.
Josh Morrissey
Midseason grade: B
Final grade: A
Morrissey's possession numbers did dip a little in his sophomore season but it really isn't anything to be concerned about. His relative corsi and fendwick numbers were on the negative side of things – more likely an indication of how strong the Jets were as a team overall on defense, but his individual numbers stayed the same. His 50.6% Corsi for rating was third only to Byfuglien and Enstrom and his 4.3 defensive point share rating was .1 behind Byfuglien's team leading 4.4 rating.
Jacob Trouba
Midseason grade: B+
Final grade: B
Trouba consistently made excellent plays in his own end to gather the puck and transition it out of the zone. Trouba does not commit many turnovers as he had the least amount of giveaways among the Jets right hand defencemen. This dependable play made Trouba valuable even when he wasn't scoring points.
Dustin Byfuglien
Midseason grade: C+
Final grade: B+
Although he still may have hold of the title, Dustin Byfuglien is no longer the clear and absolute best defenseman on the Winnipeg Jets. Jacob Trouba and Josh Morrissey have developed into a great pair and while neither have passed Buff quite yet as better overall defensemen, the gap isn't as wide as it used to be. Byfuglien is still the most important defenseman the Jets have and his reduced ice time should only help preserve his rugged style of play which is a game changer most nights.
Dmitry Kulikov
Midseason grade: C
Final grade: C-
Again, Kulikov wasn't overly bad when he played this season, it's just that he wasn't exactly a shut down defenseman (not that anyone expected that out of him) and he did very little to help generate offense.
Ben Chiarot
Midseason grade: C-
Final grade: C-
The Jets coaching staff did protect him a bit in terms of matchups and where he started on the ice and for his part Chiarot was decent enough in maintaining the Jets defensive zone strategy of keeping everything to the outside perimeter of the zone even if his ability to help the Jets exit that zone and push into the offensive end of the ice was limited.
Tobias Enstrom
Midseason grade: C
Final grade: C-
Enstrom was really good at what he was supposed to be, a defenseman defending. he helped on the other end of the ice as well but it was with a style of play that doesn't lend itself to any kind of highlight reel and that's kind of been the story of his career and why he's always been so underrated and underappreciated

subset: commoncrawl


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Cocktails of their time in keeping with the blind fool optimism that our newly appointed leader seems to think is all we're missing, I thought I would create some cocktails to "celebrate" these times. Please do not try these at home!
First up is the Rees-Mogg. Tradition dictates that the Negroni, on which this drink is based, should be made with equal parts gin, sweet vermouth and Campari, creating an aperitif that is loved by bartenders the world over (but particularly in Italy). Now the Rees-Mogg contains a little gin (don't want it too alcoholic), no sweet vermouth and loads of Campari all served over ice with a slice of lemon. This creates a cold drink with a bitter aftertaste, that you wouldn't want to be seen at parties with.
Next up comes the Shambles, a unique drink found only in the UK. When you open the Brexit drinks Cabinet, you'll see a variety of bottles filled with a multitude of liquids, all strangely labelled the same: "NO DEAL OR BUST". Pour equal measures of each into a large shaker and top up with ice. Shake until 31 October and then double strain straight down the sink. I told you it was a Shambles.
My third drink is the long-forgotten Cameron, the drink that got us here in the first place. Less of a cocktail and more of a drinking game, the idea is to drink enough cheap tequila until you get to that state of such over-confidence that you feel everything's a dawdle. Not only that, you happily decide you can singlehandedly solve the most divisive issue of our time by asking everyone else's opinion. And, as we are all too aware, that always ends in nothing but a shouting match.
Last, but by no means least, comes the twin combo Bo-Jo and Jo-Jo. For the Bo-Jo, shake some moonshine (methylated spirits would do), with some crème de banane, some yellow food colouring and an egg white. Strain into a schooner and garnish with a sparkler, a piece of banana and a straw. Lo and behold, you have a great looking drink that promises so much but is completely lacking subtlety, and is most certainly toxic. The Jo-Jo is made the same but with the addition of some sour cream. Just like the Bo-Jo but with the exception that it has turned. (M. Earl)
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After spending a beautiful afternoon apple-picking, we decided to get adventurous with our
bounty – and WOW – did we ever find the perfect autumn comfort dish. Thanks to our friend
Onna (check her out at http://fullandhappy.com/about.html), we were able to find a perfect
dish for our apples (besides the apple pie of course!) that also uses another one of our fall
favorites: Butternut Squash.
This soup will have your whole home smelling like fall. One amazing find we made on our apple
picking adventure was a homemade Sweet Hot Pepper Relish. This dish is so packed with
flavor, we though a little sweet heat would be the perfect compliment. Was it ever!
Ingredients (serves 4 adults easily):
2.5 pounds butternut squash (1 large or 2 small squash)
1 Tablespoon salt
½ cup of olive oil
4-6 apples, peeled and diced (any will work - but Granny Smith is the best IMO)
2 leeks, the white and light green parts
12 sprigs fresh thyme, picked – or however many you like!
¼ cup sherry wine, marsala wine, or dry white wine (you should be drinking white wine
while cooking anyway so just pour some out of your glass!)
2 cans of regular coconut milk
32 oz of Vegetable stock
¼ cup raw sugar
Salt and pepper to taste
Dollop of Sweet Hot Pepper Relish (if you can find it)!
Preheat the oven to 425F. Cut the butternut squash in half lengthwise and scoop out the
seeds. Generously rub the flesh with olive oil and salt and pepper.
Roast face-up at 425 for about 40-45 minutes, the key here is to make sure the flesh has
a nice browning on the outside.
Peel and dice the apples, and chop the leeks
In a large stock pot saute the apples and leeks in olive oil until they are lightly browned,
and the apples are soft – about 8 minutes
Add the Thyme and white wine to help scrap the tasty bits off of the bottom of the pot
Add the coconut milk, and lower the temperature to simmer for 15 minutes
Once the squash is roasted, take it from the oven and scrape out the flesh and put it
into the pot (if it is cook properly you should be able to do this with a spoon easily
Add the sugar and vegetable stock and simmer for another 15 minutes
Once it is cooked, blend it with a hand blender, or in a standing blender
Super Surprise: This soup (if you use 6 apples) will be nice and thick. That means once it is in
the fridge (if you have leftovers) it will thicken even more and make a delicious apple saucy
Pairing suggestion: for the kids, and our kids loved this dish – a grilled cheese with a nice cheddar is divine!
That's exactly how I felt! Like I had to be adventurous to try it, and then it was not a crazy flavor at all! Maybe the butternut squash tones down the apple's sweetness? That's what I was scared of, but it was more hearty than sweet. Hope you enjoy it! Onna is an amazing chef! xx
10/29/2018 01:13:14 pm
I made this - and it is amazing! the sour of the apples blends so beautifully with the butternut squash. And the sweet red pepper relish....mouth watering.....
10/29/2018 09:28:44 pm
Delicious. I'll have to make this during the cooler months.
11/6/2018 08:00:58 am
This is a fun way to use apples! Sounds like a great match! I will have to try out this recipe!
Molly F Tullis
11/6/2018 09:16:59 am
Love this recipe! I need to give it a try.
11/6/2018 09:24:21 am
Adding apple to a butternut squash soup sounds divine!
11/6/2018 03:29:27 pm
LOVE the suggestion of hot pepper relish at the end!!!!
11/6/2018 08:00:35 pm
Mmmm...your butternut squash soup looks delicious and comforting. It's the perfect fall recipe!
11/6/2018 10:41:59 pm
This looks like a really nice soup for the cold weather. I wouldn't have thought about combining apple and butternut squash.
Kasey Ma
11/7/2018 06:49:26 am
This looks fantastic! I love soup, this will be a perfect recipe for when it gets super chilly here.
Leave a Reply.
Isabella & Ryan
This is the one section Isabella is currently collaborating on with another. She's learning to cook, while her husband is already an excellent chef. You can follow Ryan on Pinterest: @rmccaffr
March 2019


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Forbes Magazine has recently highlighted the work that Norman Rockwell Museum is doing to promote neurodiversity. Often defined as the idea that neurological differences such as autism and ADHD are to be recognized and respected as normal human variation, the article looks at the College Internship Program (CIP), whose mission is "to help young adults with high functioning autism to be as successful as possible."
Norman Rockwell Museum has been partnering with the local CIP organization in Lee, MA, providing internships for its students for the past 11 years. The Museum's Curator of Education Tom Daly explains in the article that "we have had students go on from internships here and are pleased to speak with them later and find out they have gone on to rewarding jobs." The author of the article adds that "Museum interns work with the public and can rotate through departments, presenting paintings during tours, greeting visitors and working on events. They also benefit from the camaraderie of working alongside other students their own age in the intern program."
Read the full article here:
"This Is How Small Organizations Are Bringing Workers On Board," Forbes, September 13, 2018


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2-Piece Ball Valve Assembly VAPB-3F is a stainless steel valve preassembled with a pneumatic actuator. It's economical and a time saver, Festo has matched the torques, mounting patterns and hardware for you.
The 2-piece ball valve reduces the time required for valve selection, calculation and sizing of actuator, and design of assembly hardware. It simplifies your logistics and procurement and ensures a working solution every time.


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I have in datagrid a type "callback"
type: callback
callable: Demo\Bundle\DemoBundle\Formatter\Formatter::getFormatterCallback
There is a way to pass an argument to my custom function "getFormatterCallback" ?
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Student Carers
We have a dedicated Transition Coordinator to help students whilst at college who have caring responsibilities. A carer is anyone who cares, unpaid, for a friend or family member who due to illness, disability, a mental health problem or an addiction cannot cope without their support.
We are committed to all our students and we will do all we can to make your experience here enjoyable and rewarding.
We provide a range of support to students:
- Financial advice
- Help with settling in to college life
- Getting the most out of your student experience
- Advice and support finding accommodation
- General advice and guidance
What Next?
To find out how we can help you;
Ask at Student Services in the main campus. If you are based at the Scottish School of Forestry in Balloch please call 01463 273803. Alternatively e-mail firstname.lastname@example.com


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The last airmen who took part in the daring Doolittle Raid during World War II has died.
Retired Air Force Lt. Col. Dick Cole, who served as Army Lt. Col. James Doolittle's co-pilot during the raid, passed away on Tuesday at 103 years old. His death was first reported by Air Force Magazine's John Tirpak.
A veteran who survived a plane crash and capture by the Germans during World War II has an axe to grind with the Department of Defense, and it centers around $13.


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Gameloft's Gods of Rome now out by means of the Play Store
Battling diversions are really recognizable to Android gamers, thus will this one. You tap ideal for a normal assaults, swipe ideal for more grounded extraordinary assaults, and swipe left to evade and shield. There's some of those super exceptional assaults that you can just utilize once your energy meter has topped off. The amusement has three components – Story Mode, Special Events and PvP. The Story Mode at present has three acts and three sections inside of every demonstration, a lot of amusement play there. Uncommon Events are opened after you achieve Level 5 and PvP is opened after you achieve Level 6.
On top of those, there are the standard Daily Challenges gamers can join in. On the off chance that you are searching for another battling amusement to introduce, get Gods of Rome by means of the download join underneath, allowed to download with the standard IAP
DOWNLOAD: Google Play Store


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NJRetina is one of the largest and most well-known retina practices in the country. With roots dating back to 1979, NJRetina serves as a center of learning for retina specialists offering fellowship training in the field of retina care. NJRetina's 19 board certified retina specialists provide retina and subspecialty services such as ocular oncology in offices covering northern and central New Jersey. Many of NJRetina's physicians are national leaders, serving as principal investigators on national clinical trials and as leaders in national and local societies and academic centers including the American Society of Retina Specialists (ASRS).
Founded in 1989 and headquartered in Charlottesville, Virginia, Quad-C is a middle market private equity firm focused on investing in well-established business services, consumer, general industrial, healthcare, specialty distribution and transportation/logistics companies. In its nearly three-decade history, Quad-C has invested over $3 billion of capital in over 65 companies. The Quad-C team is committed to partnering with entrepreneurs and management teams to accelerate growth and create long-term value. www.quadcmanagement.com
Jill Whiskeyman
Simpatico Studios, LLC
(844) 782-7411 ext. 701


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Jennifer Lopez and Drake's romance just gets cuter by the day. But after a video of a not-so-subtle smooch popped up and made them basically official last week, J.Lo seems to have opted for a more low-key approach to showing her affection for the rapper on New Years Eve.
On Saturday night Lopez and a few friends were spotted at Hakkasan night club in Las Vegas, Nev. to watch a performance by Drake. Rumors began to swirl after some savvy sleuths noticed something about Lopez's jewelry in an Instagram photo from that night. The 'gram, shared by director Jessy Terrero, shows himself, Lopez and another friend squeezed into a VIP booth for the show. And lo and behold, resting in the 47-year-old "Ain't Your Mama" singer's cleavage is a gold chain that looks suspiciously like the one Drake wore in a recent Instagram photo. Are they the same necklace or just similar? Check out the photos below and decide for yourself.
RELATED: Jennifer Lopez and Drake's Steamy Kiss Proves They're More Than Friends
Same necklace or not, we can't get enough of these love birds.


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Fearless Shane Lowry shows Major quality to master Bear Trap
Shane Lowry proved he's a Major winner in waiting with a sensational birdie-eagle finish giving him a share of the clubhouse lead in the wind-blown Honda Classic.
The Offaly ace has clearly moved up a level with his win in the WGC-Bridgestone Invitational last year and he's not just backing himself to make the Ryder Cup team the hard way by taking on Europe's US-based stars such as Rory McIlroy, Sergio Garcia, Henrik Stenson and Justin Rose for just five spots via the World Points list, he's confident he has the game to answer the questions in a Major.
His three-under 67 on the Major-standard Champion Course at PGA National last night was hugely impressive, not just because he conquered a 25mph crosswind on a water-strewn course, but because he pulled off tough shots when others were running for cover.
"It would be up there in the top 15 rounds of my career," a beaming Lowry said of a score that left him tied for the early lead with American George McNeill and Swede David Lingmerth. "A 67 out there feels like a 62 or 63 to be honest."
The highlight was the raking, 243-yard three-iron to the par-five 18th that pitched at the front of the green and finished just three feet from the stick. "The wind was howling out of the left," Lowry explained. "It was a hard 3-iron and tried to not let it go right. I was just trying to get it up somewhere left of the green or somewhere on the left side of the green and thankfully it came off straight at the flag and released down to about three feet."
Lowry joked to his caddie Dermot Byrne that he'd be happy with a two-putt birdie given that he'd missed three short putts during a round that could have gotten away from him. That would have been a travesty.
He'd played brilliantly early on and reeled off a hat-trick of birdies from the fourth with a brace of five-irons to less than three feet both the fifth and sixth, two of the most spectacular shots you could wish to see.
"Like a summer's day in Balbriggan, Rob," he said to his performance coach Robbie Cannon, a member of the north Dublin club, as he strode up to his birdie putt at the fifth with the sun shining and the wind whipping the flags.
He wasn't smiling 40 minutes later when he had three-putted the seventh and eighth for bogeys and then dropped another shot at the tough 10th, where he was forced to lay up after a poor tee shot.
With the Bear Trap still ahead, disaster lurked. But Lowry responded by taking on the course and producing a homeward nine of 33.
He didn't birdie the 11th after a hold-up six-iron from 170 yards to 15 feet. But it gave him confidence to finish the round beautifully.
"That was the best shot I hit today, into that crosswind," he said. "Water on the right and you can't miss left because it is an impossible chip."
His eagle finish showed his class but given his ambition, we should not have been surprised.
"I want to go out and try to win tournaments. "Obviously the win at Firestone has helped. I know I can do it and I know there is no-one in the field that I fear."
With the Honda Classic regarded as a minor Major by the players, Lowry feels ready to win a Grand Slam event. "I think I already have the confidence and I would like to think I have the game," he said. On this evidence, nobody is arguing.
Perth International
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Who is your sportstar of the year?
Vote in the Irish Independent Sport Star Awards and you could win the ultimate sports prize.
Prizes include, tickets to Ireland's against Scotland in the Six Nations, All Ireland football and hurling final tickets and much more.
Simply click here to register your vote
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Product Description
This core allows memory mapped access to a LocalLink interface. The core can be used to interface to the XPS_LL_TEMAC without the need to use DMA. Other uses include interfacing to the LocalLink interfaces on PLBv46_PCIe and PLBv46_PCI.
Key Features and Benefits
- 32 Bit PLBv46 slave interface with point to point optimizations.
- Independent internal 2K byte TX and RX data FIFOs
- Full duplex operation.
- Provides interrupts for many error and status conditions.
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Is Your Job Episodic or Serial?
- "I wake up at 3 AM so that I can get a few hours of studying in before work."
- "I bike 14 miles on work days and 40 miles on my days off."
- "I'm the only pharmacist with a medical board certification."
- "Yeah I'm a few years from retirement, but I plan to work into my late 70s."
These are just the many statements that Warren will casually #humblebrag about when we chat about our careers. And while I'm no slouch myself (I routinely clock 50-60 hours of work each week), I simply cannot compete with his level of tenacity despite being 30 years younger. My uncle is a beast!
Despite all of his accomplishments and routines, the one thing that I found most surprising was his ability to completely and fully unplug from work once his shift was over. How could someone so driven and so conscientious just walk away each night without giving it another thought? It didn't make sense to me until I realized that how our jobs were structured were night and day different, similar to how different TV shows tell their stories.
Breaking Bad Versus The Simpsons
Most TV shows tend to fall into one of two structural categories: serial versus episodic. Before I lose you, let me give a quick example of each.
Breaking Bad is an example of serial because the storyline of each episode begins where the previous episode one left off. This has many advantages because the overarching story can have many twists and turns, subplots, and story arcs that span multiple episodes and multiple seasons. Watched in isolation, an individual episode might make absolutely no sense.
The Simpsons is an example of episodic because each episode can stand on its own. Yes, the characters themselves do evolve over the course of the seasons and, yes, each episode helps provide more texture to the characters. But this overarching connection between the episodes is very weak, which is what allows viewers to watch the shows in any order and a la carte without missing a beat.
Episodic or Serial Jobs and Roles
Tyings this back to careers and workdays, it all boils down to whether you can easily show up to each workday like it is a fresh start (episodic) or whether there is a strong carryover between days (serial). In customer facing roles within retail and fast food, there are many jobs that are completely episodic. Customers come and go but a customer that purchased boots on Tuesday has nothing to do with the customer that bought a new shirt on a Thursday.
On the opposite extreme are jobs that involve longstanding projects that span days, weeks, months, and/or years to complete and roll out. In web development, a feature that slips behind schedule on Monday can greatly impact the workday on Tuesday and beyond. In these types of roles and careers, workdays are highly coupled.
The differences in these structures explain why my Uncle Warren (pharmacist) could disconnect from work after each shift while I (running a digital agency) choose not to. My work carries through day to day and there is always the opportunity to put in extra time and effort to influence how the next day will go. The only way to truly have a fresh start is as a result of a long-standing project ending and a new one beginning.
What about you? Is your work episodic or serial? How does that influence how you show up each day and whether or not you can disconnect from work after hours?
Thanks for reading! If you enjoyed this, can I ask you for a favor?
I would like the opportunity to connect with you on an ongoing basis with the intention that I continue to provide you with valuable information and insights to help transform your life personally and professionally. To that end, it would mean a lot to me if you performed one or more of the following.
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Thanks again for your time and attention! It means the world to me to know that you gave me this opportunity to connect with you.
About Rick Manelius
Quick Stats: CTO of Contact Mapping. Author of Winning the Lottery Within. Graduated from MIT in '03 (BS) and '09 (PhD). Life hacker and peak performance enthusiast. This blog is my experiment in creative writing, self-expression, and sharing what I've learned along my journey. For more information, read my full bio here or contact me.


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John Fluevog has come a long way since his humble beginnings in 1970 as a partner in the Vancouver shoe store, Fox and Fluevog. Today the shoe maverick has flagship stores from Gastown to New York and all points in between. His shoes have graced the feet of pop icons including Madonna and Jack White. We sat down with John to talk about what makes Vancouver special for him.
"I get asked about Vancouver a fair amount," says Fluevog, "and I always think why not live in Vancouver if you can. The city doesn't have a beaten down, worn out feeling like some bigger eastern city's have. And don't get me wrong, I love the East coast as well, but for different reasons.
As the city was not really developed until the last 20 years, the Vancouver urban planners have had more or less a clean slate. There are open view corridors placed throughout the city where you're surprised by the mountains and sea views. It's a great place for peaceful places right in the city. Artists often need quiet open spaces to create, and Vancouver provides those places in abundance.
Regardless of the specific location, where you live inevitably influences you. The beauty of living in a young city like Vancouver is that you don't have to play by an old system or network. You get to make your own rules."
John's Vancouver
- Coffee Break // Revolver Coffee. This small, independent cafe exemplifies Vancouver. It's not overly decorated. There's a roughness to the design. They make simple and precise coffee that hipsters love. 325 Cambie St., revolvercoffee.ca
- Best Donuts // Cartems Donuterie. It's on the seediest block in Vancouver, but they have amazing flavors and crazy mixtures, like bourbon-bacon. 408 Carrall St., cartems.com
- Savory Sandwiches // Big Lou's Butcher Shop. It's almost entirely organic meats, all fresh, all local. Their roast-beef sandwiches are awesome. 269 Powell St., biglousbutchershop.com
- Tea Time // o5 Rare Tea Bar. An authentic Asian tea place; the look is very simple but exquisitely done. The finishes on the pots, the bowls, everything is very high-end. 2208 W. 4th Ave., o5tea.com
- Indie Threads // Board of Trade Co. A concept boutique featuring up-and-coming designers from around the globe. I like supporting independents and little guys, and I am really impressed with their collections. 206 Carrall St. and 227 Union St., boardoftradeco.com
- Hipster Bar // Alibi Room. It used to be dead, but they started getting all these craft beers and people started going. Now it's packed every night with trendy 20-somethings. 157 Alexander St., alibi.ca
- Late Night Snack // Fritz. This place at the corner of Granville and Davie is great for a Poutine craving.
- Outdoor Break // Stanley Park. It's in the city but it's awesomely wild. Get a guide book from any bike shop and go to the North Shore Mountain. But bring a compass, you can get lost very quickly.


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Noticed my brother topping off the fluids in his Camaro. When he added to the power steering, he used automatic transmission fluid. He says it's the same as power steering fluid...more
Turn the key and all it did was make a loud grinding noise. They towed it to the dealer where I was told it needed a new starter and a new flywheel...more
It's a Camaro with a 2.8-liter V6. The air conditioning doesn't work and the owner is looking for a bypass switch to shut it off, or turn it on and recharge the system...more


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The PA Cider Guild (PACG) is a trade organization formed in 2014 to bring together cidermakers, cideries, cider enthusiasts and associated businesses to have a united voice in the state of Pennsylvania.
The guild's mission is a simple one… to protect, promote, represent and educate its members and consumers.
Through marketing, events, advocacy and the like, the PACG promotes the cider producers, apple growers, and related businesses in the Keystone State.
The guild and its members share the following goals:
The PACG understands the daily challenges facing the industry and recognizes the need for an organization. All cideries, wineries producing cider/apple wine, cider related businesses, and cider enthusiasts are encouraged to become members. Please visit our membership registration page to become a member today!


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Superior 4K Picture
Enter an unrivaled world of color variation, impressive contrasts, and image detail with 4K resolution (3840 x 2160). Sceptre 4K delivers a superior picture with 8 million pixels, four times more than a 1080P Full HDTV.
With sharper contrasts of light and darks, LED display delivers a vast array of rich colors, ensuring that moving images have never been so pleasing to the eyes. LED Display offers a lifelike picture, complete with bright colors and crisp images.
With a MEMC 120 (Motion Estimation and Motion Compensation), all action-packed sequences will flow smoothly from frame to frame for the ultimate experience. Enjoy every moment of the auto enhanced picture quality especially for all your favorite sports, video games, and movies packed with action.
Multiple Ports
For this 4K UHD TV, connectivity is key. 4 HDMI ports will transport visuals and audio from all of your HD devices to the TV and upscale it to 4K quality. Component and Composite ports will support resolutions up to 1080P FHD. Connect to your favorite audio devices with the Optical output.
Connect all your favorite devices- game consoles, blu-ray devices, laptops- and stream up to 120 frames a second. HDMI 2.0 ensures you get the best picture and audio quality from your 4K display.
HDCP 2.2 ensures that all the 4K content that is transferred from a source (Blu-Ray player, DVD player, etc.) to the display (the TV) is secured with copyright protection. Bearing your convenience and future use in mind, Sceptre is compliant with HDCP 2.2 on most of its 4K UHD TVs.
MHL allows you to stream content from a compatible smartphone or tablet to the Sceptre TV, capitalizing on the visually enhanced picture quality.
USB Port
Let's you view your pictures as a slideshow or listen to your favorite music via the USB port. Just insert your flash drive into the USB port for the ultimate entertainment.
Audio Return Channel (ARC)
Audio Return Channel, or ARC, uses a single HDMI connection to send audio from a TV to the SoundBar or AV Receiver. Using one HDMI cable, video is send to the TV with an HDMI cable, and that same HDMI cable sends audio from the TV back down the same cable.
Consumer Electronics Control (CEC)
The Consumer Electronics Control (CEC) feature allows users to control HDMI connected devices with only one remote. Since more audio content can now be accessed with ARC and CEC, entertainment just took a giant leap forward.
VESA Wall Mountable
The VESA wall mount provides the ideal position to view your TV and eliminates cable clutter, contributing a stylishly modern addition to your decor.
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30+ years of Experience
Founded in the City of Industry, California over 30 years ago, Sceptre Inc. made a promise to create and deliver superior products for remarkably affordable prices, a rare tradition that has continued to this day.


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Your planner helps you schedule your entire CHIFF experience. It shows sessions you've saved, in a helpful timeline.
Don't miss the animated musical event of the year: we're thrilled to present very special advance screenings of the highly-anticipated UglyDolls.
Featuring the voice talents of Kelly Clarkson, Joe Jonas, Janelle Monáe, Lizzo and more, this animated adventure sees the free-spirited UglyDolls confront what it means to be different, struggle with a desire to be loved, and ultimately discover that who you truly are is what matters most.
See it first on Sunday, 25 August at 12pm.
Tickets now on sale!
Classic Cinemas, Elsternwick
Lido Cinemas, Hawthorn
Cameo Cinemas, Belgrave
Ritz Cinema, Randwick (Sydney)
Browse all films and events at CHIFF 2019
Sign up to our newsletter and follow us on social media to be the first to hear all the CHIFF 2019 news!
Find out more about the first feature film festival for kids in Australia!
You can unsubscribe at any time. See our Privacy Policy.


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At United Way, we take our role as stewards of donor money very seriously. We engage community volunteers to oversee every aspect of our management and financial systems to ensure that we are operating at the highest levels of professionalism and excellence.
United Way provides more than $90 million of social human service impact to the Miami-Dade community. Our administrative costs are below the benchmark established by the Better Business Bureau (BBB) Wise Giving Alliance and our ratio of funding to costs is considered "excellent" by the same organization. (Please refer to the Financial Statements / 990 for more details.)
United Way provides services or participates in partnerships to improve our social service system in Miami Dade County and beyond. Serving as fiscal agent, advocating for our public policy priorities and supporting other institutions' agenda items, we helped to influence an additional $51.2 million dollars in resources for our community, illustrating how our impact goes beyond the direct economic value of our work.
* Includes allocations and grants to agencies and services as well as distribution of government money, matching gifts, value of services provided by volunteers (per The Independent Sector, valued at $23.56 per hour), and gifts in-kind. United Way Revenues is from audited financials June 30, 2015
Financial statements
Fiscal Year Ending 2018
Financial Statements for the 2017-2018 fiscal year
990 tax return for 2017-2018 fiscal year
Fiscal Year Ending 2017
Financial statements for the 2016-2017 fiscal year
990 tax return for the 2016-2017 fiscal year
Fiscal Year Ending 2016
Financial statements for the 2015-2016 fiscal year
990 tax return for the 2015-2016 fiscal year
Fiscal Year Ending 2015
Financial statements for the 2014-2015 fiscal year
990 tax return for the 2014-2015 fiscal year


text: I am now four hours into giving up carbs (again). Yes, we've been down this road before and we know its steep hills and sharp curves oh so very well. A wayward jellybean that skittered under the refrigerator during Easter has been taunting me with its sweet, artificially berry flavored sassiness. Damn you and your jelly belly! We have so much in common, but I shall resist your siren call. Coffee will fortify me, and I shall prevail.


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Thanks for letting me be a parasite in your body for 9 months Mom! I take this opportunity to thank you for your immeasurable contribution to my life. I am so grateful and blessed for having a special mother like you. I appreciate you a lot. Take care always and God bless. Happy Mother's Day!!!
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Sharing is what I always believe in, since childhood I have been most expressive kid in my family. Making new friends, jelling up with people, traveling or participating in any event, I have always been in the fore front. Hello friends this is Soumya Shetty a Pharmacist, I love reading, travelling to places, visiting spiritual places the rich history behind the existence attracts me. Moreover, at the same time I too enjoy shopping with friends, movies, food, and parties. Most importantly, "sharing" so here is crazy Soumu sharing her experiences and life with you friends. Hope you would like being part of my life's journey.
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November 2015


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By Mark Bowden
On March 25, 1975, two young girls went missing from a shopping mall in Wheaton, Md., a suburb north of Washington. Sheila and Kate Lyon were sisters, just 12 and 10 years old, from a solid, middle-class family. Until that day, their lives seemed to lack the slightest hint of drama; they had no reason or plan to run away. Decades after the leads ran dry and the searches stopped, the disappearance of the Lyon sisters resonated. Here was every parent's nightmare — or, as Mark Bowden remembers it, "a regional trauma."
Bowden was 23 that year, starting his career on the police beat of The Baltimore News-American. Recalling his visits with the girls' parents, he writes, "I could not witness their pain dispassionately." Since then, Bowden has written more than a dozen books, including "Black Hawk Down," and returned often to the subject of police work, including a provocative 2003 piece in The Atlantic about the problematic gray areas between coercion and torture. When, in 2013, detectives in Maryland started to question the first solid witness in the Lyon case in nearly 40 years, Bowden was ideally positioned to revisit the first major story of his career.
[ This book was one of our most anticipated titles of April. See the full list. ]
A native of one of the destitute hollows of Appalachia, Lloyd Welch was 18 when the Lyon sisters vanished. He had been at the mall that day, and a few days later he told police he'd seen another man talking with the girls there. When, years later, cold-case detectives learned about the crimes Welch had committed in the intervening decades — including child molestation — they could not help wondering if he should be less a witness than a suspect. But when they visit Welch in prison, where he is hoping for an early release, he gets the jump on them, saying he knows exactly why they're there (we learn later how he found out). And for much of his questioning, Welch seems almost drunk with power — "like a fairy-tale goblin guarding a treasure, speaking in riddles." The challenge facing the detectives: "How do you get a compulsive liar, one with every reason to lie, to tell the truth?"
In "The Last Stone," Bowden focuses on 21 months of questioning by a revolving cast of detectives, telling a stirring, suspenseful, thoughtful story that, miraculously, neither oversimplifies the details nor gets lost in the thicket of a four-decade case file. This is a cat-and-mouse tale, told beautifully. But like all great true crime, "The Last Stone" finds its power not by leaning into cliché but by resisting it — pushing for something more realistic, more evocative of a deeper truth. In this case, Bowden shows how even the most exquisitely pulled-off interrogations are a messy business, in which exhaustive strategizing is followed by game-time gut decisions and endless second-guessing and soul-searching.
An interrogator's most important job — like a journalist's — is to keep the subject talking. "The problem was to convince him that it was in his best interests to reveal what he knew," Bowden writes, "even though it manifestly was not." Dave Davis, the detective who spends the most time in the room with Welch, has the softest touch. "Criminals saw the man, not the badge," Bowden writes; Davis uses empathy as a tactic, even if being empathetic around Welch "meant donning moral blinders." As another detective with a nurturing style, Katie Leggett, puts it: "We had to endure the 'friendship' and go through the crap to get as many of the answers as we could." Readers will probably recognize a tried-and-true strategy here: good cop/bad cop. When Leggett loses her temper with Welch, still another detective steps in to smooth things over, saying, "I actually think you are still the nice person we thought you were."
[ Read our review of Bowden's "Black Hawk Down: A Story of Modern War." ]
Their interrogation target, is, in Bowden's telling, an audacious foil, not to mention a colossal narcissist — "natively bright but deeply ignorant and cocky beyond all reason." Welch seems driven to keep tabs on what the police know. So rather than shut them down entirely, he plays a riskier game, admitting just enough to keep them coming back, but not so much that he could be charged with another crime. His capacity to lie is bottomless, and the lies themselves are rather ingeniously "built around the known facts." Each time new information contradicts him, Welch alters his story just enough to make sense; each new set of facts resets the cones on the slalom course, and off he glides again, as if on skis. "The ease with which Lloyd made these shifts never ceased to amaze," Bowden writes. "He acted as if he had never told the story differently."
Bowden is very good at showing how both sides in this protracted interrogation are lying. Deceit and trickery are tools of the trade for the police, at least in American interrogations. But they are perilous tools. "Once you get into the really interesting stuff," Bowden writes, "you descend, by necessity, a moral ladder onto slippery ground." At worst, forcing a narrative onto a suspect can lead to false confessions, as, for example, the wrongly convicted men in the Central Park Five case can attest. And so for a time, we are in a weird area with this book, where the only evidence is what people say, decades later, and the persuasiveness of that evidence depends entirely on whether what those people say can be believed. The more Welch talks, the more the detectives wonder if everything he is saying is simply catering to their own biases. Hours of tall tales, "then five minutes of half-truth," Bowden writes. "Were the detectives zeroing in on the truth, or was Lloyd just desperately inventing?"
This self-doubt — this perpetual self-scrutiny — is what separates these detectives from, say, the one in Netflix's "Making a Murderer" who, on video, spoon-feeds a confession to poor Brendan Dassey, a teenage boy so intimidated that he gurgles back what was said to him. (Dassey's conviction was eventually tossed out, only to be reinstated on appeal to the federal Seventh Circuit.) The best interrogators, Bowden explains, "are connoisseurs of untruth." Again, Bowden the reporter feels a kinship with them: They, too, must assemble a cogent narrative from a morass of chaos. "What we call history," Bowden writes, is at best "artful, informed, honest speculation." The detectives are, in the end, writing a story. Hopefully a true one.
The more they investigate Welch's claims, the woollier his story gets. The only thing more odious than Welch himself might be his family, the venal, abusive, incestuous clan that forms the book's gothic subplot. In the end, even a skilled liar like Welch can't keep all his stories straight. "Making him rattled and weary," Bowden writes, "became a strategy." A slip of the tongue helps the cops pry out a new admission, and the Lyon family has the beginnings of an answer. Right through to the end, Welch's only concern is himself. "I can't believe that you're doing this to me," he says — with no mention of the two girls whose lives were destroyed long ago.
"Lloyd's clumsy mendacity kept the thing alive," Bowden writes. That and the dedication of his inquisitors, who were ready to make Welch think the best of them — to trust them, to like them. "You're a cop but you're a good guy," Welch tells Davis, during one of their last encounters. "You have a good heart." For an interrogator, there may be no higher compliment.


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PHOTO PROMPT © Sandra Crook
The turning of the gears was the last thing he heard before his reality twisted. The churning screech ground through his ears, making him cringe in discomfort.
It followed him into the nothingness.
The reawakening was an arduous process. It felt like years passed through his body, tearing him apart piece by piece and putting him back together again. At least, he had hoped for that before he'd entered The Machine.
When the dust cleared, he found himself hovering above concrete. Just as he thought it, his body slammed to the ground and he felt himself become a tangible part of the world.
For better or worse, he was home.
Friday Fictioneers is a weekly flash fiction prompt where we are given a photo and asked to write a 100 word story – beginning, middle and end. This one came in at 110 words. I also chose to combine Just Jot It January hosted by Linda G. Hill. Today's prompt, tangible, is brought to us by Prajakta at An Armchair Perfectionist.
Click on the blue froggy to read other amazing 100-word stories!


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Popular Tamil Magazine Vikatan has rated Prabhas as No.1 Top Hero of the year placing him ahead of top Tamil heroes like Ajith, Vikaram, Vijay, Dhanush and even Kamalhassan.
The magazine has stated, " Before Baahubali, Prabhas almost had no introduction in TamilNadu. But today he stands tall like the Baahubali statue in the interval bang. When the film ended he strongly etched himself in the heart of Tamil fans. With his royal appearance, piercing eyes and awesome personality, he has amassed the support of ladies like the Shivaling he lifted in Baahubali. To have crossed all the other heroes and earning the top position... it's the magic of Magizhmathi!"
The Magazine had earlier rated 'Baahubali' No.2 Tamil movie of the year, placing it just behind the much loved and award winning 'Kakka Muttai'


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Enjoy - Discover - Explore - Achieve
School Lane, Hartshead, Liversedge, WF15 8AW | Headteacher: Mrs Sarah Shaw
Tel. 01274 879700
Headteacher's Welcome
Welcome to Hartshead Junior and Infant School.
I am incredibly proud to be the Headteacher of our community school, situated in the centre of the village of Hartshead.
Our pupils enjoy an engaging and creative curriculum, which fosters a love of learning and develops successful young people; children equipped for the challenges and opportunities ahead.
In our inclusive school, every member of staff - from Headteacher to Cleaning Supervisor - knows every pupil, takes the very best care of them and contributes to their achievements.
If you require any further information, or would like to arrange a visit to see our school in action, please contact us.
Sarah Shaw
Ofsted, December 2015, says
'The pupils behave well and are fully engaged in their learning and they demonstrate high levels of respect for adults and one another.'
'The parents speak of a strong sense of community where pupils play their part, and pupils echo this when they say 'We all stick together.'
Request For Copies
Copies of information provided on our school website can be requested free of charge from the school office.


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We are in the process of revising the design of our shop. New: When selecting a product, all product sizes are shown in the upper right corner of the picture. By selecting the product, you can order all possible sizes there.
SOGLIO products with this trademark are free of animal ingredients and therefore perfectly suited to vegans.
Goat butter oil
SOGLIO products with this brand name contain precious goat butter oil with particularly beneficial properties.
Whey from sheep's milk
SOGLIO products with this trademark contain whey from sheep rich in whey from sheep's milk with its particular nutritional properties.


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Ban Roundup
A DANGEROUS CHEMICAL COCKTAIL — The chemicals in Monsanto's Roundup are seeping into our waterways, backyards and even the food we eat, putting our families and the environment at risk every day. We're calling on the Environmental Protection Agency (EPA) to ban Roundup unless and until it's proven safe.
Monsanto's Roundup Could Be Dangerous
Most of us take it for granted that the food we buy for our families and the grass our children play on at a nearby park are not putting our health at risk.
But new research, including some done by the World Health Organization (WHO), has found that Monsanto's Roundup and other glyphosate-based herbicides could pose significant risks to human health.
Just how serious is the risk? The jury is still out, but there is cause for serious concern. One study by the WHO linked glyphosate — the main chemical ingredient in Roundup — to cancer at high levels of exposure. Another WHO report said the actual risk given probable exposure to glyphosate was minimal.
But Roundup is not just glyphosate. It's a cocktail of different chemicals, and there's mounting evidence that this cocktail could be a dangerous one:
- Multiple studies have found herbicides like Roundup were more likely to cause cell-cycle dysregulation, a hallmark of cancer, than glyphosate alone.
- A 2009 study showed that some formulations of Roundup were more toxic to human umbilical, embryonic and placental cells than glyphosate by itself.
- Another study found that one of the inert ingredients in Roundup was up to 2,000 times more toxic to cells than glyphosate.
It's clear — we shouldn't be exposing ourselves to something that has the potential to cause such harm. But it's the fact that Roundup and similar herbicides are so widely used that makes this a serious threat to public health.
Roundup Isn't Getting The Job Done
Millions of people regularly use Roundup in their backyards, and it's commonly sprayed in areas where kids play and learn, like public parks, school playgrounds and sports fields.
But an overwhelming majority of the glyphosate used in America is on farms. That's because Monsanto has engineered "Roundup ready" crops that are designed to withstand the chemical while still killing unwanted weeds.
The problem, however, is that these weeds have grown resistant and developed into "super weeds." Not surprisingly, the response has been to increase the dosage and frequency of Roundup used on crops.
The result? Glyphosate is now the most widely used agricultural chemical in U.S. history. Nearly 250 million pounds of the chemical are sprayed on U.S. farms every year! And since it was introduced in 1974, 9.4 million tons of glyphosate have been sprayed worldwide.
Meanwhile, Monsanto continues to back the herbicide. At one time Monsanto claimed that Roundup was biodegradable. Studies show a different story, however, as these chemical ingredients are starting to show up in our food and bodies. A recent study discovered traces of glyphosate in the urine of 93 percent of the people they tested. It's even showing up in foods like soy and beer.
This is not a sustainable solution, and with the mounting evidence clearly showing the dangers of Roundup, it's time to take action and ban Roundup unless and until it's proven safe.
Tell The EPA: Ban Roundup
It's absurd that a weed killer — designed to make our lives more convenient and food production more efficient — should be allowed to put public health at risk. We know there are safe ways to get rid of weeds, including simple crop rotations, following organic farming practices, or just yanking them out of the backyard.
It's time to ban Roundup. But Monsanto is not going to make it easy. Despite the growing body of evidence to the contrary, Monsanto is still saying Roundup is safe, and they are hard at work trying to convince the EPA that no further testing is required, and no restrictions on its use are needed. So far, the EPA has been receptive to Monsanto's aims — not that long ago they increased what they considered to be a safe level of glyphosate.
We need your help to call on the EPA to ban Roundup unless and until independent research proves it's safe.
Image credits: Mike Mozart via Flickr, CC BY 2.0; Chafer Machinery via Flickr, CC BY 2.0
Issue updates
More than one-third of U.S. states are failing to make critical information about how governments are subsidizing business projects with taxpayer dollars readily available to the public online, according to a new report from U.S. PIRG Education Fund and Frontier Group. Following the Money 2019, the organization's tenth evaluation of online government spending transparency, gives 17 states a failing grade, while only four states received a grade of "B" or higher.
Our 10th report on government spending transparency rates all 50 states on the degree to which they make information about corporate tax breaks and other subsidies available online.
The U.S. Consumer Product Safety Commission (CPSC) announced today that discount stores T.J. Maxx, Marshalls and HomeGoods sold 19 different recalled products to consumers between 2014 and 2019. In the case of five products, the stores' parent company TJX initiated the recall. The products included the Rock 'N Play and Kids II inclined infant sleepers, which are responsible for a number of fatalities, rattles that can break and pose a choking hazard, and electronics that overheat or explode.
Get ready for some alarming stories—and they're all the more alarming because they're true.
On Nov. 14, U.S. PIRG and the Antibiotic Resistance Action Center (ARAC) of George Washington University launched "Superbugs Unplugged," a podcast that will dive into the alarming issue of antibiotic resistance and how we can slow it. Matt Wellington, our Stop the Overuse of Antibiotics campaign director, is co-hosting the podcast, along with Dr. Lance Price of ARAC.
Toys sent an estimated 226,000 kids went to the emergency room in 2018. A PIRG Consumer Watchdog report identifies some of the dangerous toys for sale and how to keep kids safe.
Following the Money 2019
Our 10th report on government spending transparency rates all 50 states on the degree to which they make information about corporate tax breaks and other subsidies available online.
Consumer Protection
Watch out for unsafe toys this holiday season
Our annual "Trouble in Toyland" report found toys with choking hazards, recalled toys still for sale, toxics in slime and more.
Superbugs Unplugged: PIRG launches podcast about antibiotic resistance
Get ready for some alarming stories—and they're all the more alarming because they're true. On Nov. 14, U.S. PIRG and the Antibiotic Resistance Action Center (ARAC) of George Washington University launched "Superbugs Unplugged," a podcast that will dive into the alarming issue of rising antibiotic resistance.
Public Health
Ban Roundup
As cancer victims hold Monsanto accountable in court, governors should act to ban Roundup unless and until it's proven safe.
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We're calling on the EPA to ban Monsanto's Roundup unless and until independent research proves it's safe. Let's hold them accountable.
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text: Sam Gordon Named Winner of First Game Changer Presented by Secret Deodorant at NFL Honors Posted on Saturday, February 3rd, 2018 at 9:48 pm.Written by Trish Scott SAM GORDON NAMED WINNER OF FIRST GAME CHANGER PRESENTED BY SECRET DEODORANT AT NFL HONORS Two-Hour Primetime Awards Show on NBC Recognizes Outstanding Players and Performances from 2017 Season and Pro Football Hall of Fame Class of 2018 SAM GORDON, 14, was named the first GAME CHANGER PRESENTED BY SECRET DEODORANT. The award was announced tonight at NFL HONORS – a two-hour primetime awards show that will air nationally tonight at 9 PM ET/PT on NBC. Gordon's story started when she was a nine-year-old girl dominating an almost all-boys tackle league in Utah. However, a few years later, when Sam wanted to keep playing her favorite sport, she learned that there were no more leagues in which girls could play. Gordon and her father, Brent, launched the Utah Girls Tackle Football League – the first all-girls tackle football league. It was an immediate hit – doubling in size after its first year – and inspiring similar leagues in Indiana, Georgia, and Canada. The Game Changer presented by Secret Deodorant was created to celebrate those who are committed to moving the game forward. This award recognizes a member of the football family who has positively contributed to the sport and his or her community. On the eve of Super Bowl LII, featuring the New England Patriots against the Philadelphia Eagles, the NFL and THE ASSOCIATED PRESS announced their annual accolades in an awards show recognizing the best players, performances and plays from the 2017 season. Emmy-nominated actor and comedian ROB RIGGLE hosted the show, and many of the winners were on-hand to accept their awards at Northrop at the University of Minnesota. The newest PRO FOOTBALL HALL OF FAME class was announced and introduced during the show with the Class of 2018 appearing on stage at Northrop at the University of Minnesota. The prestigious Walter Payton NFL Man of the Year Award presented by Nationwide, which recognizes a player's off-the-field community service as well as his playing excellence, and the Art Rooney Sportsmanship Award, as voted by his peers, were among the awards announced this evening. Seven of the awards were from the AP. These awards are voted on at the end of the regular NFL season by a nationwide media panel of 50 people who regularly cover the league. The ballots are tabulated solely by the AP. The full list of awards that will be presented is: AP Most Valuable Player Walter Payton NFL Man of the Year presented by Nationwide AP Coach of the Year AP Comeback Player of the Year AP Offensive Player of the Year presented by Microsoft AP Defensive Player of the Year AP Offensive Rookie of the Year AP Defensive Rookie of the Year Bridgestone Elite Performance Play of the Year FedEx Air & Ground Players of the Year Salute to Service Award presented by USAA Courtyard's Greatness on the Road Award Deacon Jones Award Art Rooney Sportsmanship Award Built Ford Tough Offensive Line of the Year Castrol EDGE Clutch Performer of the Year Celebration of the Year Game Changer presented by Secret Deodorant NFL Honors is an NFL Network production in association with Rock Garden Media. For more information about "NFL Honors" fans may visit http://www.nfl.com/honors and follow the #NFLHonors conversation on Twitter. More stories you might likeThe Fantasy Greek's Fantasy Football Player of the Week: Peyton ManningCarolina Panthers Linebacker Luke Kuechly Named Winner of 2017 Art Rooney Sportsmanship AwardHouston Texans QB Deshaun Watson Wins Courtyard's Greatness on the Road Award at NFL HonorsCase Keenum and Minnesota Miracle Named Bridgestone Elite Performance Play of the Year at NFL HonorsPhiladelphia Eagles Electric Slide Voted Celebration of the Year at NFL Honors Leave a Reply Click here to cancel reply. You must be logged in to post a comment.


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Applications for our 2019/2020 Summer Intern Program, Global Markets Summer Analyst Program and 2020 Graduate Program are now closed. Applications for our 2021 Graduate Program will open early next year. You can search and apply for other roles here.
Retail Banking Services Graduate and Summer Intern Programs
Retail Banking Services Program (Commercial) overview
As the public face of CommBank, we deliver a seamless banking experience for the future, to over 10+ million customers. We are the largest and most diverse part of CommBank, offering world class products and services, supported by leading systems and processes.
While our branches and call centres directly support our customers every day, in head office we set the strategy for our products, deliver a world class banking app, analyse insights about our customers to enhance our offerings, design and improve end-to-end processes and identify, prevent and control business risks.
Together, our retail staff, our world class technology and the projects we deliver in head office allow us to support millions of Australians to buy their own homes, open their own businesses and protect and grow their assets.
Our Summer Intern Program
This 10 week program gives you exposure across our diverse business. You'll receive training, networking opportunities, be supported by a buddy and have the chance to contribute meaningfully to our business.
The Retail Banking Services (Commercial) stream offers an 18 month head office program and includes three structured Retail Banking rotations, as well as giving you branch, call centre and Design Thinking exposure. Throughout the program you will get the chance to rotate through three key Retail Bank areas (Channel Support, Product and a Specialisation of your choice), which will allow you to build diverse capabilities.
During your first rotation you will work in a Channel Support team in an area aligned to your interests. Channel Support is a head office function of our business that directly supports our branch and call centre staff to do their jobs more effectively. These teams have a range of work you can get involved in including business development, communications, change management, project management, strategy development and business performance analysis. During your second rotation you will work in a Product team, working on our Home Loans, Personal Loans, Credit Cards, Savings or Transaction products. Our Product teams are made up of a range of functions you can get involved in, including: product and feature development, acquisition and retention strategy, offer development, product pricing, customer experience, process improvement, risk management and profit & loss management. During your third rotation you will work in a specialisation of your choice. Here you can explore areas that align most to your passions and future career plans. Options include: Strategy, Customer Insights, Market Research, Human Centred Design, Consumer Marketing, Brand Strategy, Social Impact, Innovation Research, Payments, Customer Experience, Behavioural Economics, Risk Management, Publish & Copywriting and more.
You will form part of a broader cohort under the Retail Banking Services stream, which also incorporates our Digital, Analytics and Marketing Graduates. In addition to your three Retail Banking Services Commercial rotations, you will get the opportunity to work with this broader cohort and get direct exposure to our customers through our branch network, contact centres and through a unique Design Thinking experience.
Your program also includes multiple professional development opportunities, including interactive masterclasses, training courses and graduate conferences. These collaborative sessions will enable you to develop leadership capabilities, enhance your presentation skills and critical thinking. You will get exposure to topics such as emotional intelligence, resilience and leading through change, which will prepare you for success during the program and beyond.
Our Graduate Program is designed to set you up for success in a range of different career paths within our Retail Bank. Teams you could land in beyond your program include:
- Strategy
- Product
- Consumer Marketing
- Brand Strategy
- Customer Insights
- Market Research
- Human Centred Design
- Social Impact
- Innovation Research
- Payments
- Product Pricing
- Customer Experience
- Communications
- Behavioural Economics
- Business Development
- Risk Management
- Publishing & copywriting
What qualities do we look for?
We consider graduates from all degree backgrounds, however to be successful in your career in the Retail Bank you need to be innovative, results driven, a problem solver, solutions focused, resilient, strategically minded and proactive. You are a strong role model of our purpose and values, and demonstrate leadership attributes. You have excellent interpersonal skills, communication skills, are commercially minded and are passionate about delivering exceptional customer service.
As well as building a strong understanding of the Retail Banking Services area of CommBank, you'll also benefit from:
- Challenging work and diverse experience: You'll have the opportunity to work on exciting and diverse projects that make a difference. This will help you develop a range of new skills and experiences
- Responsibility and autonomy: You'll be trusted to deliver outcomes, with the support of your manager and your team, that contribute to CommBank's strategic priorities and goals
- An ever-improving Program: We're always refreshing and improving our program so you get the most exciting and engaging experience possible. Your development and experience will be overseen by our Graduate Council to ensure your experience is world class
- Support: You'll be mentored by a second year Graduate, experienced rotation managers and a HR Program Manager, who will help you develop and drive your own career
- Career success: The program is designed to set you up for your future career and long term success at CommBank
- Endless opportunity: You are encouraged to discuss your career aspirations with your rotation manager and HR Program Manager, who can help make them a reality
- Networking: You'll have the chance to work with talented people, and form important relationships within the business
- Community involvement: You'll have the chance to engage the wider community through graduate-led community projects and initiatives.
Awards and recognition
The Australian Top 100
Graduate Employer 2019
#1 Banking and Finance sector
Australian Financial Review and GradConnection Top 100
Graduate Employer 2019
#1 Banking, Finance and Insurance Sector
#8 Most popular Employer
Top Graduate Employers 2019


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House dust mite allergies are caused by dust mites that live in your home in the most unexpected places such as your bedroom. They are relatively common and affect approximately 20 million Americans as well as many more people worldwide.
The symptoms of dust allergies can be minor such as a runny nose or can be major such as serious respiratory problems.
Household dust is very common and is a combination of many fibers and particles such as pet dander, food particles, insect and plant components, mold and pollen spores, bacteria and other material.
This combination of materials make a perfect breeding ground for microscopic mites that also eliminate waste products of their own.
What Causes Allergic Reactions to Dust Mites?
The dust itself is not generally the cause of allergic reactions, nor are the dust mites. Rather, the waste products from the dust mites is the main allergen.
What Do Dust Mites Look Like?
A dust mite is too small to be seen without a microscope and is one third to one quarter of a millimeter!
They are eight legged, white bugs that are considered a part of the spider family.
Having no eyes nor mature respiratory system, their main purpose is to eat, reproduce and eliminate waste.
An adult dust mite can live up to 4 months. There are 13 species of the microbe and they easily adapt to the comfortable environment of the typical home. They especially thrive in warm temperatures that are generally between 67 to 78 degrees Fahrenheit.
What Are the Best Conditions for Dust Mites?
Dust mites are most comfortable in humidity levels between 70 and 80 percent. Their food is typically the dead, flaked human skin that people commonly shed each day inside the home. Places like carpet, furniture, stuffed toys, and bedding are typical areas in which to find these disgusting little microbes.
Since the typical person may shed up to 1.5 grams of dry skin flakes a day, at least a million dust mites can keep their hunger satisfied every 24 hours per person!
Is It Possible to Get Rid of Dust Mites?
Well, almost. While it really is impossible to completely rid a house of these critters, you can significantly lessen their presence and negative affects on your health.
Where Are They Most Often Found in Homes?
Guess where these little creatures congregate the most? Right, in the bedroom!
That's why is extremely important to create a healthy bedroom environment for those who suffer from this type of allergy. The first place to start is to make sure the bedding provides protection against the mites.
The two most common places in a bedroom where dust mites thrive are mattresses and pillows!
Simply vacuuming your bedroom, is not enough to rid your sleep space of the allergen.
In fact, over 90% of mites generally remain after vacuuming because they have burrowed deep into carpeting, mattress layers, pillows, furniture and even some types of wall decor.
These are a few helpful things that can be done to keep your house free from dust mites.
However, the very best solution is a general redecorating and refurbishing of particularly the bedroom to effectively avoid house dust mite allergies in the future.


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Azerbaijan-based gold and copper miner Anglo Asian Mining Plc (LON:AAZ) has moved into a net cash position after a period of strongly rising production from its three mines.
At the end of 2015, Anglo Asian had a debt of US$49mln, but confirmed yesterday it had paid all of this down and now has a positive bank balance. Earlier this year the miner said it would a pay a dividend soon due to the improvement in its financial position.
READ: Anglo Asian clears regulatory hurdle to pave way for future dividend payments
Anglo Asian has forecast production growth forecast in 2018 to between 78-84,000oz gold equivalent (2017: 71,000oz GE).
Broker SP Angel says with all-in-costs of $681/oz in the bottom quartile among producers this should translate into US$36mlm of underlying profits and US$23mln of free cash generation.
Investors interested in hearing the Anglo Asian story first hand can hear an update tonight at Proactive Investors' One2One forum in Mayfair, London.
Bill Morgan, chief financial officer, is will talk about recent progress and plans for exploration in the surrounding area at the Chesterfield Hotel from 6pm.
Please find registration details here: https://tinyurl.com/cnvylqv


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Isaac Julien at De Pont Museum
It is hard, if not impossible, to talk about video art without mentioning the name of Isaac Julien, the renowned installation artist and filmmaker. Playtime, his latest work, will be the centerpiece at a new solo exhibition at De Pond Museum. Providing a view of his thirty years of career will be a group of eight films, including Ten Thousand Waves from 2010, as well as a selection of large photographs, independent works of art connected to the films.
The Art of Videos
From the very beginnings in the early 1960s, art in the form of videos evolved and changed, starting to occupy more and more space within the walls of museums and galleries. With the development of equipment and the introduction of new visual and narrative forms throughout the years, grainy colorless video frames gave way to vivid, high definition, striking imagery, enhancing the artistic expression. Looking to tell a story about the rocky world of art, there's Isaac Julien's Playtime, a multi-screen installation exploring the relationship with the global financial crisis and contemporary art.
Tackling the genres of both documentary and fiction, the film revolves around six main characters – the Artist, the Hedge Fund Manager, the Auctioneer, the House Worker, the Art Dealer, and the Reporter. These figures, based on real people and Julien's own experience, describe the connection between art and finance and are played by famous actors, such as James Franco and Maggie Cheung. The film also sees a special appearance by a Swiss art collector and auctioneer Simon de Pury, who plays himself. Set in three major cities – Dubai, London and Reykjavik, this visual spectacle explores the dynamics of the capital market and criticizes the impact it has on everyday lives. Initially, Playtime was installed in New York at Metro Pictures Gallery on a single large screen projection. Simultaneously, a three-minute cutdown version of the film was playing on 17 electronic billboards in Times Square, every night during the month of December in 2013.
The Art of Isaac Julien
The critical attitude of this work can be found in all Julien's oeuvre. Over the years, the aim of his art was to expose various social issues, including class, ethnic origins, sexual orientation and gender, as well as the economy and capitalism. It often mentions and pays tribute to other films and filmmakers and it combines film images with historical film material and images from the media, exploring traditional genres such as the documentary and the motion picture. Julien was nominated for Turner Prize in 2001. He was visiting lecturer at Harvard University's Schools of Afro-American and Visual Environmental Studies, and is currently a visiting professor at the Whitney Museum of American Arts. He produced over 15 films and 13 installation pieces. Catch Isaac Julien: RIOT at De Pont Museum in Tilburg, The Netherlands, from January 31st until May 31st 2015.
Are you a fan of art? Sign up for My WideWalls and get the best of it in one place!
Images courtesy of De Pont Museum.


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Closure (闭包) $\text{cl}(C)$ of a set is the collection of its limit points. Projection of a vector on a closed set is the set of vectors in the set closest to the vector: $P_C(x) = \arg\min_{y \in C} \| y - x \|$. Distance of a vector to a set is the smallest distance from it to points in the set: $d_C(x) = \min_{y \in C} \| y - x \|$.
Convex set in a vector space is a set that includes the line segment between any two of its elements [@Bertsekas2003, 1.2.1]: $A = \cup_{x, y \in A} \{x + \lambda (y - x) : \lambda \in [0,1]\}$. Dual definition of closed convex set: A set is closed and convex, if it is the intersection of all closed half-spaces containing the set. An extreme point of a (nonempty) convex set is a vector not between any two other vectors on the set. An extreme direction of a (nonempty) convex set is the direction of one of its extreme points. Convex hull (凸包) $\text{conv}(C)$ is the smallest (intersection of all) convex set containing a set. Convex combination is a nonnegative weighted average of vectors. In comparison, nonnegative combination is a linear combination with nonnegative coefficients. Convexity is closely related to expectation: If $P(X \in C) = 1$ and $C \subseteq \mathbb{R}^n$ is convex, then $\mathbf{E}X \in C$.
Affine set is a shifted subspace. Affine hull (仿射包) $\text{aff}(X)$ is the smallest (intersection of all) affine set containing a set. The affine dimension of a set is the dimension of its affine hull. A set of vectors are affinely independent if when picking one as the origin, the rest are linearly independent. The number of affinely independent vectors in a set cannot be more than one plus the affine dimension of these vectors, if finite. The relative interior of a set $\text{ri}(C)$ is the intersection of its interior and its affine hull.
A set is a cone, if it is scale invariant. A cone is pointed if it contains no line. A cone is solid if it has nonempty interior. A proper cone (真锥) is a pointed, closed solid, convex cone. Generated cone $\text{cone}(C)$ is the cone generated by a set is the nonnegative span of it. A cone is finitely generated, if it is generated by a finite set of vectors. A vector is a direction of recession of a convex set, if arbitrary shifts of the set along this vector are within the set. The recession cone of a set $R_C$ is the cone generated by its recession directions. The lineality space of a set is the set of directions of recession whose oppose are also direction of recession: $L_C = R_C \cap -R_C$.
A generalized inequality is the partial ordering on $\mathbb{R}^n$ associated with a proper cone $K$. Vector inequality is a special case of generalized inequality where the associated cone is the nonnegative cone.
$$\begin{align} x \preceq_K y, y \succeq_K x &\Leftrightarrow y−x \in K \ x \prec_K y, y \succ_K x &\Leftrightarrow y−x \in \text{int}(K) \end{align}$$
The minimum element (最小元) of a multidimensional set w.r.t. a generalized inequality $\preceq_K$ is an element no greater than any other element in the set in such partial ordering: $S \subseteq \{x\} + K$. Similarly, the maximum element of a multidimensional set w.r.t. a generalized inequality $\succeq_K$ is an element no less than any other element in the set in such partial ordering: $S \subseteq \{x\} - K$.
A minimal element (极小元) of a multidimensional set w.r.t. a generalized inequality $\preceq_K$ is an element no less than any element in the set in such partial ordering: $(\{x\} - K) \cap S = \emptyset$. Similarly, a maximal element of a multidimensional set w.r.t. a generalized inequality $\succeq_K$ is an element no greater than any element in the set in such partial ordering: $(\{x\} + K) \cap S = \emptyset$.
The polar cone of a set is its shade, which is a cone: $C^∗ = \{ x | \langle x, y \rangle \le 0, \forall y \in C \}$. Dual cone of a set is the negative polar cone: $\hat{C} = -C^∗$. A set is polyhedral (多面的) if it is the intersection of finitely many closed half-spaces: ${x | A x \le b}$. A cone is polyhedral if it is the polar cone of some finite set.
The dual generalized inequality associated with a proper cone is the generalized inequality associated with its dual cone. This concept can be used for a dual characterization of the minimum/minimal elements. The minimum element of a multidimensional set w.r.t. a generalized inequality $\preceq_K$ is an element such that for all elements $\lambda$ in the interior of the dual cone $K^∗$, it is the unique minimizer for $\langle \lambda, \cdot \rangle$ in the set. A minimal element of a multidimensional set w.r.t. a generalized inequality $\succeq_K$ is an element that minimizes $\langle \lambda, \cdot \rangle$ over the set for an element $\lambda$ in the interior of the dual cone.
An extended real-valued function is a function whose range is the extended real line. The extended-value extension $\tilde{f}: \mathbb{R}^n → \mathbb{R} ∪ \{+\infty\}$ of a convex function $f : C \to \mathbb{R}$ is the function defined in its containing (Euclidean) space that takes value $+\infty$ outside its original domain.
The graph of a function is the collection of point-value pairs: $\{ (x, f(x)) | x \in \text{dom}f \}$. The epigraph (supergraph) of a function is the collection of points on and above its graph: $\text{epi}f = \{ (x, y) | x \in \text{dom}f, y \ge f(x) \}$.
Consistent definitions of convex functions:
A function is concave if its negative is a convex function. While concave set is simply any non-convex set, concave functions exactly mirror convex functions.
A level curve is the feasible set of an equality constraint. A level set is the feasible set of an inequality constraint. A sub-level set is the feasible set of a less-than-or-equal-to constraint. A function is quasi-convex if all its sub-level sets (and thus its domain) are convex. A function is quasi-concave if its negative is quasi-convex. A function is unimodal if it is quasi-convex or quasi-concave. A function is quasilinear if it is both quasi-convex and quasi-concave.
A positive function is log-concave (log-convex) if its logarithm is concave (convex).
Given a proper cone $K$ in its domain space, a real-valued function is $K$-nondecreasing if it is dominated by values in its $K$-cone: $\forall x, y, x \preceq_K y : f(x) \le f(y)$. The function is $K$-increasing if it is strictly dominated by values in its $K$-cone other than the vertex: $\forall x \ne y, x \preceq_K y : f(x) < f(y)$. $K$-nonincreasing and $K$-decreasing are similarly defined. As a special case, a real-valued function on the space of symmetric matrices is matrix increasing (decreasing) if it is increasing (decreasing) with respect to the positive semidefinite cone.
Given a proper cone $K$ in its range space, a vector-valued function is $K$-convex if every line segment of the function is $K$-dominated by its linear interpolation: $\mathbf{f}(\boldsymbol\lambda \cdot \mathbf{x}) \preceq_K \boldsymbol\lambda \cdot \mathbf{f}(\mathbf{x})$. The function is strictly $K$-convex if the inequality is strict except on the endpoints. As a special case, a symmetric matrix valued function is matrix convex if it is convex with respect to the positive semidefinite cone.
Given the dual pair of vector spaces $X, Y$ w.r.t a bilinear form $\langle \cdot, \cdot \rangle$, functions $f: X \to \mathbb{R}$ and $f^\star: Y \to \mathbb{R}$ are conjugate if their sum is supported from below by the bilinear form pointwise in the dual space: $f(x) + f^\star(y) \ge \langle y,x \rangle$ (Young's inequality), and $\forall y \in Y, \exists x \in X: f(x) + f^\star(y) = \langle y,x \rangle$. Equivalently, $f^\star(y) = \sup_{x \in X} \{ \langle y,x \rangle - f(x) \}$, also known as Fenchel transformation [@Fenchel1949]. If a function is smooth, strictly convex, and increases at infinity faster than a linear function, its conjugate is equivalent to its Legendre transformation [@Legendre1789]: $f^\star(y) = \langle x^\star, \nabla f(x^\star) \rangle − f(x^\star)$, where $y = \nabla f(x^\star)$.
Common convex sets:
Common convex functions:
Common non-trivial log-concave and log-convex functions:
Common matrix monotone functions: (Real-valued functions over the symmetric matrix space.)
Common matrix convex/concave functions:
Set relations: $C \subseteq \text{cl}(C) \subseteq \text{conv}(C) \subseteq \text{cone}(C)$
Operations that preserves set convexity: [@Bertsekas2003, 1.2.1]
Properties of convex set: [@Bertsekas2003, 1.4.1]
If a set is closed with nonempty interior and has a supporting hyperplane at every point in its boundary, it is convex.
The dual cone of a proper cone is also proper.
Generated cone is convex.
Recession cone theorem [@Bertsekas2003, 1.5.1]: For a (nonempty) closed convex set,
Caratheodory's theorem [@Bertsekas2003, 1.3.1]: (minimal representation of generated cone and convex hull)
Projection theorem [@Bertsekas2003, 2.2.1]: For a (nonempty) closed convex set $C$,
Supporting hyperplane theorem: Any non-interior point of a (nonempty) convex set has some hyperplane that contains the set in one of its closed half-spaces. [@Bertsekas2003, 2.4.1]
Separating hyperplane theorem: Any two disjoint (nonempty) convex sets can be separated by some hyperplane. [@Bertsekas2003, 2.4.2]
Strict separation theorem [@Bertsekas2003, 2.4.3]: Two disjoint (nonempty) convex sets $C_1, C_2$ can be strictly separated by some hyperplane if any of the following holds:
Polar cone is closed and convex.
Polar cone of a set is also polar cone of the cone generated by the set: $C^∗ = \text{cone}(C)^∗$. [@Bertsekas2003, 3.1.1]
Polar cone theorem: Twice polar cone of a cone is the closure of its convex hull: $C^{ ** } = \text{cl}(\text{conv}(C))$. In particular, closed convex cones are self-dual to polarity: $C^{ ** } = C$.
Cone generated by a finite set is closed. (Nontrivial) The polyhedral cone and the cone generated by the same finite set of vectors are polar to each other: for a finite set $A$, $A^∗ = \text{cone}(A)^∗$, and (Farkas' Lemma) $A^{**} = \text{cone}(A)$. [@Bertsekas2003, 3.2.1]
Minkowski-Weyl Theorem: Any polyhedral cone can be represented as a finitely generated cone, and the converse is also true: $A^∗ = \text{cone}(B)$.
Minkowski-Weyl representation: Given finite sets $A, B$, a polyhedral set can be represented as the Minkowski sum of the convex hull of a finite set and a finitely generated cone; the converse is also true: $P = \text{conv}(A) + \text{cone}(B)$. [@Bertsekas2003, 3.2.2]
[@Bertsekas2003, 3.3.1] For a (nonempty) convex set, extreme points on a supporting hyperplane are also extreme points of the set. A closed convex set has at least one extreme point iff it does not have two opposing recession direction. For a bounded convex set, all extreme points form the minimal set that reproduce the set by convex hull: $C = \text{conv}(E)$, where $E$ is the set of extreme points of $C$.
For a polyhedral set with Minkowski-Weyl representation $P = \text{conv}(A) + \text{cone}(B)$, its extreme points are in $A$. [@Bertsekas2003, 3.3.2]
[@Bertsekas2003, 3.3.3]
Polyhedral proper separation theorem [@Bertsekas2003, 3.5.1]
Properties of generalized inequalities:
For a generalized inequality, minimum and maximum elements of a set are unique if they ever exist, while a set can have multiple minimal and maximal elements.
Non-decreasing in each argument is equivalent to $K$-nondecreasing where $K$ is the nonnegative cone.
First-order conditions for $K$-monotonicity: A differentiable function on a convex domain is $K$-nondecreasing iff its gradient is nonnegative in $K$-dual inequality: $\nabla f(x) \succeq_{K^\star} 0$; It is $K$-increasing if its gradient is positive in $K$-dual inequality: $\nabla f(x) \succ_{K^\star} 0$;
First-order conditions for $K$-convexity: A differentiable function on a convex domain is $K$-convex iff the function globally $K$-dominates its linear expansion: $f(y) \succeq_K f(x) + Df(x)(y−x)$, here $f: \mathbb{R}^n \to \mathbb{R}^m$ and $Df(x) \in \mathbb{R}^{m \times n}$. This proposition also holds when both sides are strict.
Composition theorem: A $K$-nondecreasing convex function of a $K$-convex function is convex. Note the monotonicity restriction is on the extended-value extension of the outer function.
A convex function can only be discontinuous on its relative boundary.
A function is affine iff it is simultaneously convex and concave.
Operations that preserves (vector-valued) function convexity (or concavity): [@Bertsekas2003, 1.2.4]
Characterization of differentiable convex functions:
Operations that preserve quasi-convexity:
A quasilinear function has convex level sets; the converse does not hold.
A quasi-convex function $f(x)$ can be represented by a family of convex functions $\phi_t(x)$, where the $t$-sublevel set of $f$ is the 0-sublevel set of $\phi_t$. Such representation is not unique.
Transformation properties of conjugation:
A function is closed if its epigraph is a closed set; or equivalently, if all its sub-level sets are closed. The conjugate function of any function is closed and convex. Almost every convex function can be expressed as the conjugate of some function.
An extended real-valued function is lower semi-continuous at a point if the function values in the point's neighborhood are either close to or greater than the function value at that point: $\liminf_{x \to x_0} f(x) \ge f(x_0)$. The conjugate of a function is always lower semi-continuous.
The convex closure of a function is the function whose epigraph is the closure of the convex hull of the original function. The conjugate of the conjugate (twice conjugate) of a function is its convex closure: $\text{epi}f^{\star\star} = \text{cl}(\text{conv}(\text{epi}f))$, note that $f^{\star\star} \le f$. Fenchel–Moreau theorem: If a function is convex and closed, its twice conjugate is itself: $f^{\star\star} = f$.