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I have am implementing the Graham scan algorithm to find the convex hull of a set of (two-dimensional) points. (My implementation is in Haskell in case anyone wants to know.) The problem is that not all of the boundary points are included. In fact, my implementation is highly sensitive to the order of the points in the input (since the input is technically a list, not a set). I am looking for some help from a mathematical perspective in order to fix the problem.
To start, let me describe how I understand the algorithm:
Input: $S \subseteq \mathbb{R}^2$.
Output: The convex hull $H$ of $S$
Define the point $P$ as follows: First find the subset $Y$ of $S$ of all points $(x, y)$ such that $y$ is minimum. Then $P$ is the point in $Y$ such that $x$ is minimum.
Define $\preceq$ on $S$ as $P_1 \preceq P_2$ iff $\theta_1 \leq \theta_2$ where $(r_i, \theta_i)$ is the polar representation of the vector $\vec{PP_i}$.
Define the sequence $A = \{P_i\}$ such that $P_i \in S$ and $P_i \preceq P_{i+1}$ for each $i$.
Define $H_0 = A$. Define the subsequence $H_i=\{Q_i\}$ of $H_{i-1}$ by removing the point $P_j$ from $H_{i-1}$ such that the angle $\angle P_jP_{j+1}P_{j+2}$ makes a right-hand turn and $j$ is minimum.
Let $H=H_i$ where $H_i$ contains no angle $\angle P_jP_{j+1}P_{j+2}$ which makes a right-hand turn.
Now for a more concrete example to explain the problem:
Let $S = \{(x, y) : x, y \in \mathbb{Z}, 0 \leq x, y \leq 4\}$. (Since my implementation uses a list rather than a set, $S$ is actually a the sequence $S=\{P_i\}$ of these points in lexicographical order.) From step 1, $P = (0, 0)$. My implementation also uses a stable sort, so for $P_i, P_j \in S$, if $\theta_i = \theta_j$ (again using polar coordinates for the points), then $P_i \prec P_j$ if $i < j$. This creates a problem as I consider the points $(0, 1)$, $(0, 2)$, $(0, 3)$, and $(0, 4)$ in step 4 because they appear in the sequence $S$ in that order and they are the vertices for angles with right-handed turns when they are considered. For example, the angle formed by the points $(x, y)$, $(0, 1)$, $(0, 2)$ where $x \not=0$ is a right-handed turn.
How do I modify the ordering of step 2 so that the points on the boundary appear in the correct order to obtain straight angles as I consider them in step 4?
p.s. I have decided to state my question in mathematical terms, but if you think I would get more/better feedback from programmers, I will post it on SO instead and try to frame it in programming terms.
My implementation in Haskell keeps the points
$\{(0, 0), (1, 0), (2, 0), (3, 0), (4, 0), (4, 1), (4, 2), (4, 3), (4, 4), (3, 4), (2, 4), (1, 4)\}$
as it searches for the convex hull. The remaining points to check are $\{(0, 1), (0, 2), (0, 3), (0, 4)\}$, in that order. The angle formed by $(1, 4)$, $(0, 1)$, $(0, 2)$ is a right-hand turn, so$(0, 1)$ is discarded. Similarly, the points $(0, 2)$ and $(0, 3)$ are discarded. Finally, $(0, 4)$ is correctly retained. I need a way to ensure that these points are encountered in the order $(0, 4)$, $(0, 3)$, $(0, 2)$, $(0, 1)$ so that no right-hand turns will be found and all of these boundary points will be retained. This is just an example, so I need to find a general solution to avoid this kind of problem.


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TOPEKA -- With the arrival of the holiday season comes the arrival of colder weather, as well as an increase in the number of fuel-burning appliances being used in the home. These appliances include furnaces, ovens, space heaters, generators, indoor grills and fireplaces, and they can cause dangerous levels of carbon monoxide (CO) to build up in the home.
According to a study from 2004 to 2006, children younger than 5 years old have the highest estimated rate of CO-related visits to the emergency room each year among all age groups in the United States. Nationally, more than 25 children die from CO poisoning every year. In Kansas, over 500 people have been hospitalized and 4 people have died from CO poisoning over the past 10 years.
"Carbon Monoxide is a silent killer that often strikes us where we feel most secure, in our homes," says Tom Langer, Director of the Bureau of Environmental Health at the Kansas Department of Health and Environment (KDHE). "Faulty heating systems, water heaters, stoves and our cars are leading sources of combustion gases that can quickly overwhelm us and do us great harm."
Important safety tips to protect families from CO poisoning:
· Prevent CO buildup in the first place - make sure heating appliances are in good working order and used only in well-ventilated areas.
· Don't run a car engine in the garage, even with the garage doors open. If you need to warm up your vehicle, move it outside first.
· Install a CO alarm outside every sleeping area, on every level of your home and at least 15 feet away from every fuel-burning appliance.
· When you check your smoke alarm batteries each month, check the batteries on your CO alarms at the same time – and replace the batteries twice a year.
· Never use an oven for heating.
· Portable generators must be used outside for proper ventilation. They cannot be used indoors or inside of a garage.
· Have all gas, oil or coal burning appliances inspected by a technician every year to ensure they're working correctly and are properly ventilated.
If more than one person in the home suddenly feels ill for no apparent reason, or if a CO alarm goes off, get everyone outside immediately and call 911 from a pre-arranged meeting place.
"CO alarms are widely available at hardware and retail stores for about $20," says Cherie Sage, Safe Kids Kansas. "Because the symptoms of CO poisoning are similar to that of the flu, it's important to have early detection of this invisible danger in the home before it's too late."

subset: commoncrawl


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Every time I want to ask a question I struggle to sanitise and simplify code so that others have something to look at. For posing the last question I asked, I decided to create a test project and I wondered whether (or perhaps, how) we could all maintain a project that offers all the features, and complexities we all deal with.
It has been suggested that thunderhub might be a good place to start. perhaps a SourceForge thing could work too.
In any case, it would be useful because we could all read through its code to learn the stuff and the more advanced people who answer questions on SO could use it to just point: "yeah, that's been done, just look at the Test Project, controller blah blah, etc." (in the case of an MVC3 app)
thoughts anyone?


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Possible Duplicate:
What should I do about Canon PowerShot "Lens error, restart camera"?
I have a PowerShot SX20is that started to throw this error out of the blue:
Lens Error Restart Camera
Any suggestions what can be done here?
I have a PowerShot SX20is that started to throw this error out of the blue:
Any suggestions what can be done here?
marked as duplicate by rfusca May 20 '12 at 17:02
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
Oh boy. That error happened to me on a Powershot SX100 is some weeks ago. I visited several web sites like this one but wasn't able to fix it by myself, so I ended up buying the same camera you have (was also an excuse to buy a new one), and pray it doesn't happen again.
If the camera is still in the warranty, you should return it. There does not seem to be a real fix for that issue.
Try removing the camera's battery. Also read the camera's manual to see if it has a secondary 'watch' style battery hidden away somewhere too. If so, remove that too.
Leave the camera well alone for around 1 hour. Replace (if you had it) the watch battery, followed by the main battery. Then turn the camera on and see if it did the trick.
I cannot guarantee that this will work for you, but when my EOS 7D was experiencing really weird issues, this is what I did and for whatever reason completely fixed the problem!
Also, ensure that the camera and lens - as far as possible - is clean and free from dirt before you put the batteries back in.


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I heard about a local club holding a kermesse race, and I was wondering what exactly they were?
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Not a big fan of this type of answer, but wikipedia has a pretty good definition of it.
See the link for info on payouts and UCI information.
The answer by domsterr is a really good summary of what a kermis is. Here's some additional info:
They have these almost every day in towns across Belgium (and Holland) through the cycling season. (I stayed in Gent and there was always one within 30k of there.) They begin at 3 usually. The top 20 pays. First place usually receives 150 Euros. On our team, as with others, the first place rider in addition to the winnings from the race got 200 Euros from the team. This money was explicitly for bargaining. Often these races come down to a small group of guys. At which point you have to be measurably stronger than your breakaway companions, or do some politicking. You can either pay off the guys in the break, or enough to have them work for you while you attack. This is always part of the racing. The guys who are strong enough just ride away, the rest pay off the guys in the break, then ride away.
The races begin with 40-150 guys and get whittled down to roughly 15. The guys at the front attack non-stop, each time whittling down the group. As the riders fall off, they are given a 1 lap to go warning and then they sprint for whatever place that is. The guys who actually finish kermis races, as in they last the entire race without getting pulled, are strong enough to race and win some PRO/1/2 races in the U.S. Often you will see national teams bring their riders to kermis races for training. Most national teams have bases in Belgium for the summer so their riders can race locally. Also, there are riders from professional development teams as well. Guys who are technically PRO, riding for a real team, but making no money. In one race I entered (I was always dropped very quickly) Iljo Keisse was racing--a track legend.
Here's my post from the first kermis I went to. The posts after this are all from ones I entered.
If you're interested in racing in Belgium let me know. I have friends there still and there's, no joke, a bike house where you can pay 200-300 Euros a month and race.


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WHEELING - Sale of the former Wheeling-Pittsburgh Steel headquarters in Wheeling is pending with an $800,000 offer from a New Albany, Ohio, real estate investor.
The listing's agent, Jay Goodman of Harvey Goodman Realtor, said Monday that the Ohio company aims to purchase the building. But representatives first must determine whether it will be too expensive to bring the structure up to current fire and building codes. The company, the name of which Goodman declined to disclose because the deal is pending, plans to rent out office space at the site.
"He didn't make an offer until he thought it was a feasible project for them,'' Goodman said of the company. "In a worst case scenario, if they decided the cost to renovate was too great, theoretically it could stop the transaction. ... They've done this before - buying troubled assets and turning them around.''
The last owner, RG Steel, lost the building during bankruptcy proceedings last year. The final sale must be approved in bankruptcy court, something Goodman estimated would happen in about 60 to 90 days.
Goodman said since the building was put on the market about three months ago, it has generated a lot of interest from people, some of whom wanted to use it for various types of housing. Those people decided, however, it would be too expensive - $3 million or more - to renovate the building for apartments, condominiums or low-income housing. Some said it would be cheaper to build a new structure.
Goodman added that although the building is for sale and not for rent, people looking to lease office space still inquired about the building. He noted the fifth and seventh floors don't need updating code-wise and are ready for use as soon as the building is sold.
Built in 1905, the building was originally listed at $900,000. Located at 1134 Market St., it offers 144,000 square feet of space and has 13 floors. While the sale includes the furniture, Goodman noted photos of the steelmaking process once located in the top-floor board room have vanished. He said he is not sure who took them.


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I keep thinking of Greeks playing Lyres - there had to be a point where someone added strings and the modern shape...
The guitar originated from the lute. What's called a 'kithara,' (a type of lyra) which when pronounced sounds a bit like 'guitar' is why people and historians get mixed up between the two being related.
The lute and the vihuela had their features combined in the 16th Century. The features that were combined were:
Bass and treble strings were added to give the instrument a good range.
Stradivarius produced some early models of this instrument.
In about the 18th century guitar makers added machine heads the guitars making them easier to tune, and adding struts to the soundboxes of the instruments to increase the sound. Antonio de Torres Jurado is credited with finishing the design and layout of bridge, neck, saddle and body size on the guitar.
George Beauchamp added experimental pickups to a 'frying pan' shaped guitar body in an effort to electronically amplify the sound. This became the first Rickenbacker guitar, and the first produced electric guitar. Inventors kept tinkering with electronics and experimenting with types of pickups on different types of guitars. An example of this is the Gibson ES-150, which is an acoustic guitar with a pickup in the neck.
Fender cemented the popularity of the electric guitar with the original design of the Esquire - later the Broadcaster/Nocaster and finally the Telecaster, which is still one of the most popular guitar designs today. The redesigned Stratocaster introduced a few years later remains equally if not more so popular.


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Raymond J. Giguere
2008, Chemical Heritage Foundation
191 pp
Hardcover, ISBN 978-0-9765723-7-4, Product #9780976572374
Molecules That Matter explores ten organic molecules—Aspirin (1900), Isooctane (1910), Penicillin G (1920), Polyethylene (1930), Nylon 6,6 (1940), DNA (1950), Progestin (1960), DDT (1970), Prozac (1980), and Buckyball and Carbon Nanotubes (1990)—that have shaped the course of humanity throughout the 20th century. While other molecules could have been chosen for this exhibit, the impact of these ten is nothing short of astonishing. The idea was to identify a molecule for each decade of the 20th century and explore its scientific, historical, and sociological dimensions. This catalog reveals the academic and industrial research that led to the discovery and dissemination of these substances, and illuminates their social consequences. Color photos.
Enjoy a bring-your-own brown-bag lunch while listening to CHF scholars share their research.
See your environment with fresh eyes through this online exhibit.
CHF's Center for Oral History captures and preserves the stories of notable figures in chemistry and related fields. Many of the oral histories in the collection belong to recipients of CHF awards, including
Meet us in person at one of our events.
Bakelite billiard ball
©2010–2016 Chemical Heritage Foundation


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What is the precise definition of Maris Ayin, and to what cases does it apply? (i.e. what are the parameters for applying it)
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Maris Ayin (literally "the vision of the eye") describes rabbinic enactments that were put into place to prevent a third-party viewing one's actions from arriving at the incorrect conclusion that a forbidden action is permitted.
It has many applications across halacha, including the laws of Shabbat, Avodah Zarah and Kashrut.
An important additional principle is that כל מקום שאסרו חכמים מפני מראית העין - אפילו בחדרי חדרים אסור - Anything that the sages prohibited because of maris ayin is forbidden, even when it is performed in a private room (Beizah 9a). In other words, once something is prohibited by chazal for this reason, one is not allowed to rationalize that one can perform the action in private because no one will see it. (This principle is also the subject of much debate among halachic authorities).
There is no such thing as Marit Ayin, as I have stated elsewhere.


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Nike Sublimated Camo Men's Running Shirt
Buy Online & Pick Up In-Store
The Nike Sublimated Camo Men's Shirt is cool and breathable. This technical running shirt features mesh side panels and sweat wicking fabric for optimal comfort on the road, trail, or track. This shirt is everything that the serious athlete is looking for and needs in a training shirt but comes with a little swagger.


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The Forsyth County Sheriff's Office offers fingerprinting as a courtesy to the general
public. Fingerprinting is done at the Forsyth County Public Safety Center located at
301 North Church Street.
Monday through Friday (excluding holidays)
1:30 - 3:30 pm
$10.00 for first two cards, thereafter $5.00 per card. Cash and Debit/Credit Card is accepted
*Processing fees are included on the Debit/Credit Card transactions.


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Let $P(n) = 2^n + 3^n - 5^n $.
I want to prove that $P(n)$ is divisible by $3$ for all integers $n\geq 1$.
The basis step for this proof is easy enough: $P(1)$ is divisible by $3$.
For the inductive step, I let $k$ be an arbitrary integer, then assume $P(k)$ is divisible by $3$, and set out to prove that $P(k+1)$ is divisible by $3$.
$$ P(k) = 2^k + 3^k - 5^k $$
$$\begin{align*} P(k + 1) &= 2^{k+1} + 3^{k+1} - 5^{k+1}\\ &= 2*2^k + 3*3^k - 5*5^k \end{align*} $$
I'm guessing that the best way to do this is to prove $P(k+1) - P(k)$ is divisible by $3$, but I'm not sure on that so this could be where I start to approach this wrong.. I'm not sure what else to try though.. $P(k+1) * P(k)$? But that wouldn't distribute very well would it?
So what I did is write out P(k+1) - P(k): $$ P(k+1) - P(k) = 2^k + 2*3^k - 6*5^k $$
At this point, I know that the second and third terms are divisible by 3, but I know that $2^k$ is not necessarily divisible by 3, so here I am stuck...


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I've made this recipe for a bunch of different occasions and I haven't met anyone who doesn't like it. It's simple and not too time consuming. Perfect for any setting!
Easy Salmon Cakes
From EatingWell: Winter 2004, EatingWell Serves Two, The Essential EatingWell Cookbook (2004)
If you are trying to boost your intake of omega-3s, try this simple favorite. It is a great way to use convenient canned (or leftover) salmon. The tangy dill sauce provides a tart balance.
117 Reviews for Easy Salmon Cakes
I'll make some for my ramadhan tonite...thanks very much
Too many breadcrumbs in this recipe. I even added an extra egg and my cakes were having a hard time holding together. Final product was a little dry and crumbly.
Canned Salmon is too high in sodium for me, so I use generic frozen salmon instead -- reduces sodium portion from salmon from 285 to 40, a big change. Once the fish is thawed, I don't dice it, but shred it by hand in to little bits. Also, lower the bread crumbs as others have suggested to 3/4 cup -- a far better salmon/bread ratio.
Instead of Dijon mustard, I like the impact of spicy brown mustard instead. I once used "Mae Ploy" Thai Sweet Chili Sauce instead of the mustard, and that was a huge hit. If you go that route, nix the dill sauce and go with a tomato/pepper sauce instead. Awesome.
Also, I don't have the patience to dice the onion, so i use a coarse cheese grater and shred them. It doesn't work too well with celery, but the onion is very fine and mixes very well.
I love this recipe, very easy to make. Did the whole cooking on the stovetop, made into only 5 cakes so they all fit in the pan at once. After I browned one side I lovered the temp and put on a lid and cooked through about 20 min. Also made with oatmeal instead of breadcrumbs and we ate it with no fat Chobani Greek yogurt to dip.This yogurt is thick and perfect for dipping, no spices needed.


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Polished: Gentle Rice Enzyme Powder
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Tatcha's range of skincare solutions are built on the beauty rituals founder Victoria Tsai discovered among modern-day geishas in Kyoto, Japan. Referencing a centuries-old manuscript, the brand's products use a blend of green tea, Okinawa red algae, rice bran and other potent ingredients which provide essential antioxidants and nutrients to the skin. One of the brand's top-sellers, Rice Enzyme Powder, is a creamy and gentle exfoliator which softens and conditions to reveal baby-soft skin.
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491 SH 75 North
Huntsville, Texas 77320
Since 1849 Huntsville has been the home of thousands of Texas prisoners.
With its 163 years of history, the walls of Huntsville have some incredible stories to tell. And you can find them at the the Texas Prison Museum.
"We're pretty popular," joked volunteer Jerry McGinty.
The museum is dedicated to the history of the prison system in Huntsville, the people that served time there, and the folks behind the badge.
"I think the prison system is intriguing to most people because it's a little part of our society that people don't know anything about. Unless they've been sentenced there or work there," said Jim Willett.
Willett is the director of the museum which gives visitors a look at life behind bars.
And that's something visitor Ira Strange knows all about.
"I was convicted for drugs back in 1971 and I did a sentence of 12 months and 12 days," said Strange.
Strange got scared straight during his time in jail and wanted to see how it's progressed over the 40 years since he heard those bars close behind him.
"I told my wife, I just want to go and see some of the historical events that happened before I got incarcerated and afterward. I just wanted to see how far along it had come from the beginning to now," said Strange.
You'll find confiscated shanks made of anything imaginable, wooden guns used in an escape attempt, and even pieces of art constructed by inmates. Chess pieces made of soap, a rose bouquet made of toilet paper, and even a purse made from cigarette packages show some of their incredible talent.
But that's not the main reason people come to the museum.
"Where's old sparky," is a visitor's first question according to McGinty.
"Most people come here wanting to see the electric chair," said Willett.
"Now I can't tell you why people are fascinated by that but they are," said McGinty.
The chair that took the lives of 361 men from 1924 to 1964 sits alone in the museum. Presented without commentary.
"The thing we've tried to do and I think we've done a good job of it is we stay right in the middle. We don't try to show that it's good or it's bad, we just lay the thing out there and let people look at it," said Willett.
"It's a fascinating subject," said visitor Terry Childs.
Childs is visiting from Kenya and hearing about the prisoner rodeo was his biggest surprise, but learning about prison life is something he thinks everyone needs to know about.
"It helps you understand a bit of society which people would probably prefer to forget if they could," said Childs.
Ira wasn't forgotten, he was rehabilitated and now works with a prison ministry. Being a former prisoner, he thinks the museum is a place everyone should serve a few hours at in order to prevent from doing some hard time.
"Seeing is believing. I think a kid, it could help them a lot to detour them from going this route because it's really not worth it," said Strange.
Understanding our state's prison history is an arresting stop on our Brazos Valley Bucket List.
The Texas Prison Museum is open seven days a week and costs $4.00 for adults and $2.00 for kids. You can find more information on the Texas Prison Museum website which we've linked below.


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WACO (February 27, 2013)--In preparation for Thursday's Waco VA Medical Center Creative Arts Festival, veterans are finishing up their ceramics, paintings, wood carvings and more for a chance at being recognized for their creative arts skills.
More than 50 veterans entered more than 100 artistic entries in 27 categories for a chance to compete in the in the national festival in Nevada this October.
The festivals are intended to recognize the progress and recovery made by infirmed veterans through recreational art therapy.
The public is invited to view the artwork which will be on display beginning at 12:30 p.m. in Stracke Auditorium Thursday.
The auditorium is located inside the VA medical center on Memorial Drive.


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Just posted: Our conversation with Francis
Just posted to the homepage: Commonweal's chat with Pope Francis, It's an unprecedented exclusive, the pontiff's first interview with a lay Catholic publication. The questions are searching and probing, the answers even more so. Why are you waiting? Read it now.
About the Author
Dominic Preziosi is Commonweal's digital editor.
23 comments
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- Editor Featured
The editorial is not: funny, clever, thought-provoking, profound, or in any way worthwhile. So then what is it? A weak, juvenile, snotty attempt at humor. Not unlike a typical high-school newspaper.
In other words, not even close. The editors are an insult to the Catholic Church.
Wait, before anybody deletes that comment, let me print it out. Because I need to frame this, like yesterday.
You're right, Grant. That comment is a brilliant continuation of the spoof, and makes it even funnier. Or snottier, Whatever.
Being a "tight ass" happens in many different ways.
"Maybe we should even talk *to* women."
"Ceci n'est pas un Pape."
Sorry, but is Commonweal getting senile? Are you so miffed by America's scoop that you have to run an Onion style hoax more reflective of your own narrowness than of the breadth of Franciscan vision?
(Maybe they'll copy America's all-women issue.)
I want to see the Latin version.
Everyone knows that's the only one that counts. Never mind that the first version was not in Latin. Once it gets into Latin, it reaches its definitive form! Who knows how much richness has been lost by putting this into common or standard English. I bet there are whole passages from the Church Fathers that have been omitted!
I hate to be innocent, but before I send this interview to anyone. Is it real? I thought it was great. I just made a copy of it.
Andrew -- It's a spoof. But it does sound like him :-)
TANGENT In case you haven't seen it, check out these photos of Francis making a speech while a little boy comes onstage and refuses to leave. He's obviously a pal. "Let the little children come unto me . . ."
Boy Wanders Onto Stage To Hang Out With Pope Francis
I'm seriously encouraged by the boy's reactions. Children usually can spot a fake friend. Maybe Francis really is the miracle the Church needs so badly.
Despite O'Leary the Irish have always been known for humor. About time the Italians showed some. Hi Carlo! As a matter of fact Francis (Frankie) is looking to schedule an interview with Commonweal. Georgetown and Fordham are reported to be the highest bidders to host it.
For something like this to work, it has to be really funny.
Ann Olivier, did you notices the comboxes with people instantly talking about pedophilia. Most priests nowadays, in a witch-hunt climate, would shake off that little boy pronto.
It's true that as an Irishman I do not appreciate the heavy-handedness and unsubtlety of American humor. I like Onion, but now that there are so many people producing Onion-style spoofs, this has become a serious threat. Some day one of these stories will be taken as true, with unforeseeable effects. Consider the case of the famed broadcast of The War of the Worlds, which inspired panic. Above all the spoof attributes quotes to Francis on very delicate issues, and these quotes could be circulated as factual.
The servile and fatuous way Catholics hang on every word that falls from papal lips is not improved by juvenile spoofs thereof, which rather compound it.
Don't break your arm.
I think it's really funny when people take the Onion as true. Like the Chines paper picking up on the Onion voting Kim Jong Un the sexiest man alive, or the Iranians buying into the Onion poll that rural white Americans would vote for Ahmadinejad over Obama,
Keep it coming...
Abe- that's hysterical! And the sister site it linked to "Least Helpful" reviews was even funnier. Thank you
I found the "interview" brilliantly funny, but also illuminating of the strange situation liberal Catholics find themselves in under this papacy.
Our contemplation of faith and conscience is well-served by an occassional dose of mirth. If Pope Francis does one day grant our editors that privilege, it is because Commonweal, like Pope Francis himself, doesn't insist on taking itself seriously all the time. It is a quality of leadership all too often lacking.
As within religion itself, we find here a wide rage of guilbile as well as skeptical people.
Five of five smiley faces to the editors for the "interview" with Fancis.
I assume we can look forward to a transcript of the pope's "cold call" to the publicaion.
Don Wigal
Good grief. Lighten up, already.


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Scholarships and Financial Aid
Saint Louis University is committed to providing scholarship and financial aid programs to recognize academic excellence and to make a SLU education affordable.
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Our financial aid programs include: need-based grants, loan programs, work opportunities and merit-based scholarships. Aid is available to eligible students at the undergraduate, graduate and professional levels.
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|The Office of the University Registrar serves as a liaison between SLU veteran students and the VA. We assist student veterans with the processing of the VA forms required for educational benefits, advise student veterans concerning certain procedural requirements and certify the enrollment of SLU student veterans to the Department of Veterans Affairs.
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After the '73 Challenger and '51 Dodge we saw this weekend, now seems like the right time to honor the Chrysler, Dodge, and Plymouth vehicles I've photographed down on the Alameda street.
I'm not including the Dodge- and Plymouth-branded Mitsubishis here; you'll need to check out the 450 DOTS: The Japanese post for the Colts and Arrows.
When you're done here, check out the rest of the 450 DOTS Celebration:


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You are a fan of rules biketrials ? Come to discover the best forums rules biketrials on the internet and share your experience with a community fan of rules biketrials . You can also build a forum rules biketrials and create your online discussion.
Pensacola forum : This is a local forum based out of Pensacola Florida that caters to the discussion of politics, local news, philosophy, and basically anything that anyone cares to discuss. There are no rules
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Is there an ituitive explanation for the formula: $$ \frac{1}{\left(1-x\right)^{k+1}}=\sum_{n=0}^{\infty}\left(\begin{array}{c} n+k\\ n \end{array}\right)x^{n} $$ ?
Taylor expansion around x=0 : $$ \frac{1}{1-x}=1+x+x^{2}+x^{3}+... $$
differentiate this k times will prove this formula. but is there an easy explanation for this? Any thing similar to the binomial law to show that the coefficient of $x^{n}$ is $\left(\begin{array}{c} n+k\\ n \end{array}\right)$ .
Thanks in advance.


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Snack Attack! 15 Perfect After-School Snacks for Your Hungry Kid
6 of 17
Apple "Fries and Ketchup"
French fries and ketchup certainly aren't on the healthy menu, but apples cut like fries, and paired with yogurt dyed red with food coloring certainly are. Seriously, how cute is this snack?
Next: Smoothies


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Adele to make post-baby debut at Golden Globes
Watch a video of Adele with her baby
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One Step Hand Sanitizer with Aloe for $23.52
2oz Travel Size
Case of 48
Kill the most common disease causing germs within seconds using One Step Hand Sanitizer. One Step is a gentle and refreshing instant hand sanitizer that can be used when soap and water are not available. Just add liberally to your hands and rub thoroughly until dry...no rinsing, no towels needed! Perfect for work, travel or taking along to sporting events and more. The ideal solution to germ free hands.
10 Comments add a comment
An excellent buy! Shipping for me was via Fed-Ex $4.95. Thanks for the listing!!
That's a lot of hand sanitizer!
I buy these small bottles in a package of 4 usually - and that package costs over $4.00; so when I ran across this deal, I was happy to see it! Being in a tourist area, there are all kinds of germs, etc., from all over the world and I never go into a restaurant without a bottle in my purse. I also keep one in the car to use. In today's world, I would want to use this type of product wherever I was - you hear of such awful stuff.
@klozitshoper: I always take these along when camping, as you don't always have water available to clean your hands. Plus, a little of this can be used to help your fire get started.
Not a great deal.
Hand sanitizer is sold day in/day out for $1 for 8oz at most dollar stores. That's $12 for equivalent volume of product. You are just buying extra plastic, and hardly anyone needs 48 2oz bottles.
We use these a lot, and when we need trial size, we just refill from a larger container at home.
@alevinemi: Sure, you say that now.
But wait 'til the apocalypse comes. I'll be in my bunker with sanitary, bacteria-free hands, and your hands will be covered with germs. We shall see who has the last laugh.
@alevinemi: You must have tiny funnels and a bit of extra time on your hands. As I said, I think your use of this type of product is predicated on lifestyle and situation. I also visit a lot of nursing homes as a volunteer or visitor. Would not want to run out in that situation. Always a good idea to save where you can of course.
@klozitshoper: Thanks for posting this. I, too, make a lot of visits to nursing homes and doctors' offices. These small bottles are just what I have been looking for!
@alevinemi: While I also refill the bottles (I have particularly dirty kids, I guess) I've noticed that the plastic gets brittle on the ones we keep in the cars. I guess the heat and alcohol age the plastic faster.
@disturbed0ne: Just in case we all need to roll in the mud to gain entrance, where is it? :)


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Movalys Dashboard for Windows Phone 7: News from Mobile World Congress
- Posted: Feb 16, 2011 at 7:31AM
- 12,835 views
- 1 comment
Loading user information from Channel 9
Something went wrong getting user information from Channel 9
Loading user information from MSDN
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Loading Visual Studio Achievements
Something went wrong getting the Visual Studio Achievements
Right click "Save as…"
"Movalys Dashboard" allows the user to view dashboards with data of our other product "Movalys Intervention". This product manages maintenance interventions and optimizes the associated planning.
The user of "Movalys Dashboard" can refresh statistics like he wants, he can also change the url to recover data. Check out this demo from Mobile World Congress.
Oops, something didn't work.
I just can't get why everyone just keeps ignoring the Design and Interaction Guide. Text Guildelines anyone?
Comments have been closed since this content was published more than 30 days ago, but if you'd like to continue the conversation, please create a new thread in our Forums, or Contact Us and let us know.


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Mongolia: A country located between Russia, Kazakhstan and China, whose people are descended from the Mongols of Genghis Khan's Mongol Empire.
11k views
Why did Mongolia split in two when they declared independence?
When Mongolia declared independence from the Qing Empire in 1911, part of it stayed under Qing control. This is the part known today as Inner Mongolia. But even before their independence, there were "...


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29 Jul 2011 11:45 AM #1
Datefield format + mysql
hello friends,
As you know, to keep a date in mysql this should have the format Y-m-d. I really want to show the date format d-m-Y. I wonder if anyone can tell me if there is any way to handle this with ext or should I convert the date to mysql format before saving accepts?.
I appreciate any help you can offer.
29 Jul 2011 1:01 PM #2
Try this:
PHP Code:
xtype: 'datefield',
id: 'fecha1',
format: 'd/m/Y',
allowBlank: false,
blankText: 'Requerido'
31 Jul 2011 6:13 AM #3
Thanks for responding.
The problem is that if I use the format d-m-Y will not store well in the mysql database.
To save mysql must be in Y-m-d format. And I need the date is displayed to the user in the format d-m-Y.
Any idea?
31 Jul 2011 11:09 PM #4
You can format the date before inserting in DB.
MYSQL code
Date_Format('01-08-2011', '%Y-%m-%d');
1 Aug 2011 12:04 AM #5
Send date in timestamp format instead of dealing with format.--
Mehmet Çadırcı


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I understand that there is an element call faith to believe a system of belief. But my question is, are there valid arguments to prove God to someone who does not believe? Or at least to present God as logical?
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closed as off-topic by Flimzy, fredsbend, Affable Geek, bruised reed, David♦ Sep 14 '14 at 17:35
This question appears to be off-topic. The users who voted to close gave this specific reason:
No Overwhelming Proof
There may be cause to distinguish between, "Is there a way to prove the existence of the God of the Bible to all people in all times?" from the question of "Has there ever been a way to prove the existence of the God of the Bible?"
The answer to latter question is affirmative, although the accounts of this are recorded in the Bible itself. Nonetheless, the people of Israel were given overwhelming proof that the God of the Bible was real many times over for specific people in time. To mention a few...
So, God certainly did provide very convincing proof of His existence in times past--not to everyone who ever lived since the beginning of the world. Yet, as Jesus told Thomas, "blessed are they who have not seen, yet believe."
So, for whatever reason, it does not appear to be God's desire to show overwhelming evidence to every person who has ever lived in all times. It does appear that He offers "sufficient" evidence, but not "overwhelming" evidence to every person, including general revelation in creation.
However, just because there isn't overwhelming evidence or proof for something certainly does not mean it isn't true.
Logical Proof
The classical arguments are certainly good places to start. The book, I Don't Have Enough Faith to be an Atheist has some really good lines of reasoning in it as well.
At its root, the universe itself either came from nothing or it came from something or someone. All of our experimentation and reason indicates that "Nothing comes from nothing, nothing ever could..." (to reference The Sound of Music). We know from logic and reason that nothing can create itself. Something has to exist before it can create anything.
Science now tells us convincingly that the universe is not eternal. The implication is that it began to exist, so it must have a cause that is greater than itself. The physical universe of time, space, and matter must have been created by a being that is outside of time, space, and matter. That Creator does correlate to the God of the Bible, who is outside of time, outside of space, and outside of matter.
A complete logical argument would need to entail evidence of prophecies fulfilled and the resurrection of Jesus, which is the crux of Christianity (pun intended).
The classic arguments I know are the following :
These arguments work together to form one argument. So please don't work with these as 5 single, independent arguments.
In Mere Christianity, CS Lewis describes such a proof (source):
In other words, we would not have even a concept of justice, if absolute justice did not exist, just like a fish has no concept of either dry or wet.
CS Lewis also had his famous trilemma, demonstrating that if you accept the existence of Jesus and what He said, He must have been God. Nicky Gumbel (I think) summarised it as Jesus can only have been Mad, Bad or God."
Here's the trilemma in full:
First, it depends what you mean by proof.
The first of these is the strongest: you can build absolute proofs that cannot be refuted by anyone who accepts the principles of Mathematics. However, such proofs are limited to the perfect abstractions described by mathematicians, and don't necessarily work that well in the real world. For example, you can prove that 1 + 1 = 2, but you can't easily prove that 1 haystack + 1 haystack = 2 haystacks because haystack counting doesn't follow the normal rules (1 haystack + 1 haystack = 1 big haystack). As a result, you can't apply that kind of proof to God.
The second is weaker, but is still strong: scientific proof is the result of trying to find evidence against a theory, and accepting it as proven only if no evidence has yet been found that undermines that theory. If such evidence is found, and if the theory can't be adjusted to accommodate it, then the theory must be rejected. Nevertheless, if such evidence can't be found by the scientific community then there is good reason to accept a theory as proven. Some people feel that this kind of proof does apply to God, but there isn't sufficient consensus to accept that God's existence has been proven in this way.
Finally, the evidence required to convict someone in a court of law is somewhat weaker. The community of investigators is far smaller than that required for scientific proof, and the process of proof is far less rigorous than scientific proof would be. Whereas scientific proof relies on repeatability, this is generally impossible when someone is on trial. Now, despite the relative weakness of courtroom proof, it is often the best we've got, and we have to make real-world (even life-and-death) decisions based on this kind of proof. Many of us have looked the evidence for and against the Christian God's existence and concluded that, to the best of our ability, we have found sufficient 'proof' that He is real. We believers are willing to make real-world decisions on the basis of this proof, but recognize that it is at best a court-room proof rather than a mathematical or even a scientific proof.
For the most part, we believers assume that God's existence is logical. Some of us are able to articulate our understanding of that logic, whilst others are willing to accept that such a logic may exist but that we either don't or even can't know what it is.
As to what evidence people use as the basis of their proof, there are numerous sources, and different believers find different kinds of evidence persuasive. Some popular sources of evidence include:
The bottom line is this: we each of us have the option to look at the evidence available for God's existence and makes up their own mind. There is no absolute certainty - but for us Christians, there is enough.
No, there are no scientific experiments that you could run to show the existence of God.
When Christians talk about proving God, they mean something along the lines of Malachi 3:10 (NRSV)
Another oft quoted verse is James 1:5-8 (NRSV)
In other words, to prove (test) God.
Jesus claimed to be the God of the the Bible a few times, and he even used the scriptures to support his case (here is only a few verses to make this case):
Jesus claimed to be God:
Jesus invoked the name of God that was revealed to Moses in Exd 3:14:
Jesus claimed to fulfil a reading from Isaiah (61:1-2a):
Jesus used the scriptures to explaine his death and resurrection:
Paul also held that Jesus' death and resurrection was from the scriptures:
And Paul stated that if Jesus did not rise from the dead (according to the scriptures) then the Christian faith is futile and Christians are misrepresenting God:
Jesus and Paul seemed to think that the resurrection of Jesus proved that Jesus was the God of the Bible. If you can prove the resurrection then you have a good case that Jesus is who he said he was. There is no way to prove this scientifically, but historically there is some evidence that may imply it happened. This also depends on how strongly you take the historical sources, but most historians can agree that:
Some other resurrection theories (swoon, stolen body, hallucination, mistaken identity, wrong tomb etc...) try and account for either (1) the empty tomb, (2) the resurrection appearances and (3) the transformed lives of his followers, but no theory, besides Jesus' resurrection adequately explains all three.
Resurrect? An Atheist and Theist Dialogue, Gary R. Habermas and Antony G. N. Flew, edited by John F. Ankerberg
No, but all other existing theories have holes in them. Huge holes.
The current scientific model says it all started with the Big Bang and before that there was nothing. Yet, if an "explosion" creates a New York City, let alone occurs at all, then it is no longer nothing, but something, and no longer a valid answer to explain why we exist.
We can not say the Universe, the laws of physics, reason itself came from nothing. That is no answer.
You also can not say we came from an infinite series of Big Bangs. Think about it like this. Imagine I hand you a letter. You read it, then ask, "who wrote this?" Who created the letter, who wrote it?
I say, I got it from the postman (by our definition postmen do not write letters). You say, "No, who wrote it?" I say it came from an infinite series of postmen. That does not answer your question. We can not say we came from an infinite series of zero explanations.
There are other answers like, from the Great Eagle, things like that. But who made all the eagles?


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UPDATED! Added a few new people, and congrats to the new Power Players!
UPDATED! Added a few new people, and congrats to the new Power Players!
Awesome. You just spared my lunch reading time. I finished Darksiders 2 this weekend. I should make an update. =\
Welp, let me get into this as well:
1. Skyrim
2. Saints Row 2
3. Saints Row: The Third
4. Batman Arkham City
5. Modern Warfare 3
6. Assassin's Creed Brotherhood
7. Spec Ops: The Line
8. Mass Effect 2
9. ME2: Project Overlord
10. ME2: Lair of the Shadow Broker
11. Mass Effect 3
12. Borderlands
13. BL: Zombie Island of Dr. Ned
14. BL: Secret Armory of General Knoxx
15. BL: Claptrap's New Robot Robolution
16. Borderlands 2
17. Diablo 3
18. Max Payne 3
19. Warhammer 40k: Space Marine
20. FTL (defeated Flagship)
21. Bastion
22. Limbo
23. Metal Slug X
25. Kingdoms of Amalur: Reckoning
1. Jetpack Joyride (completed all challenges at least once)
Total so far: 26
There's probably more from January (I finished a buttload of games in the first 2 months o' the year), if I remember anything I'm sure of, I'll update.
Had a pen'n'paper list going, thankfully! I'll include complete dates, DD/MM/YY.
1. Metal Gear Solid: The Twin Snakes (28/08/12)
Nintendo DS
1. Chrono Trigger (27/07/12)
1. Parasite Eve (09/02/12)
2. Final Fantasy VI (04/02/12)
1. Assassin's Creed (03/01/12)
2. Killzone 2 (28/03/12)
3. InFamous (11/08/12)
4. InFamous 2 (18/08/12)
5. Assassin's Creed 2 (26/10/12) [Platinum Trophy]
1. Portal 2 (14/02/12)
2. Thief 2: The Metal Age (05/04/12)
3. Thief 3: Deadly Shadows (09/04/12)
4. Fallout: New Vegas + All DLC (12/09/12)
5. Thief: The Dark Project (30/09/12)
Last edited by DNAiel; 10-29-2012 at 05:05 AM. Reason: EDIT: +1 now 14
Updated. Congrats to new Power Player, NucularPsycho!
lol at grammar nazis
Finished Assassin's Creed 2, Assassin's Creed Brotherhood, Fallout 3 GOTY, and about to finish darkSector.
Xbox 360:
Deus Ex: Human Revolution
Metal Gear Solid 2
Metal Gear Solid 3
Batman: Arkham City
Saints Row: The Third
Mass Effect (x2)
Mass Effect 2
Mass Effect 3 (x2)
Beyond Good and Evil HD
Castle Crashers
Metal Gear Solid
Diablo 3 (x3)
Max Payne
Max Payne 2
Max Payne 3
Borderlands 2
Total: 18
Last edited by Brightside; 10-30-2012 at 01:46 PM.
Updated my post, total now 20.
In this moment:
Zack Zero (ps3)
Asura's Wrath (ps3)
Journey (Ps3)
Clippox Exodus (iOs)
Jet Set Radio (Pc)
New Star Soccer (Android)
Head Soccer (iOs)
Score! Classic Goals! (iOs)
Kid Icarus: Uprising (Nintendo 3DS)
Mass Effect (Xbox 360)
The Dark Eye: Chains of Satinav (Pc)
Yesterday (iOs)
Sugar Kid (iOs)
Updated to #99 after completing Brolands 2 new DLC.
Updated. Now at 44. Gotta complete my half century before the year ends :/
And my god Shinobi, wtf! XD
One Piece: Pirate Warriors
Uncharted 2
Mass Effect 3
Death Rally
Alan Wake
LA Noire
SuperBrothers: Sword & Sworcery EP
Ys: Origin
Saints Row 3
The Walking Dead
Final Fantasy 1
Total games: 12
Last edited by lizzardpt; 12-27-2012 at 09:53 AM. Reason: New games
Probably something Zelda.
No idea. But I know I've finished most of the zelda games multiple times.
I'm horrible at finishing games tbh. Slightly into the games I always encounter something that reminds me of something else and fail to resist the urge to play that certain game instead. There are of course exceptions, but rarely. And I hate to start playing in the middle of a game when I can't remember what I've done previously. So I usually start over again, and over, and over.
Finally got around to playing through the first episode of The Walking Dead. The wife was sitting by trying to look like she wasn't watching and had to stop herself from asking me to play the next episode (we both love the TV show, so I wasn't surprised). OP updated. Will hopefully have the second episode done before the end of the weekend.
Ok time to update.
Playstation 3
Dragon Age II
Final Fantasy IV Advance
Xbox 360
Assassin's Creed Revelation
I realize I have a backlog from earlier in the year that if I can remember I will add later.
Updated Original Post with the fact that I have beaten Borderlands 2. Working on Dishonored and Torchlight 2 now.
And then. HALO 4.


text:
In addition to Eric H. Holder Jr. '76 and several other alumni, President Barack Obama's administration has recruited 10 more Columbia Law School graduates to fill key government positions.
Among the most recent group of appointees, George Madison '80 was selected to serve as general counsel of the U.S. Treasury Department. "I have great confidence that [he] will be a valuable and effective addition to our team as we tackle our nation's economic challenges," said President Obama in a written statement announcing the move. Previously, Madison was the executive vice president and general counsel at TIAA-CREF.
In addition to Madison, Donald Verrilli '83, a former partner at Jenner & Block, has also accepted a new position within the administration. He will serve as associate deputy attorney general and said he is "very excited to have the opportunity for public service at this important moment in our history." Joining Verrilli at the Justice Department is his Jenner & Block colleague Ginger Anders '02, who will become the assistant to the solicitor general. Meanwhile, Lewis Yellin '00 will leave the Justice Department, where he worked for many years on cases involving foreign relations and national security, for the State Department. In his new role, Yellin will assist the legal adviser in counseling Secretary of State Hillary Clinton. Timothy Reif '85 will join the Office of the U.S. Trade Representative as general counsel for international trade. And David M. Becker '73 will lead the Securities and Exchange Commission's effort to reform the financial services sector as the SEC's general counsel and senior policy director.
Drawing from the world of academia, the administration has tapped Georgetown University Law Professor David C. Vladeck '76 to serve as the director of the Federal Trade Commission's Bureau of Consumer Protection. And University of Colorado Law School Professor Nestor Davidson '97 has accepted an appointment as principal deputy general counsel at the U.S. Department of Housing and Urban Development.
Finally, two Law School alumni will fill key positions within the Federal Deposit Insurance Corporation. Joseph A. Jiampietro '92 will serve as FDIC Chairwoman Sheila Bair's senior adviser for markets. And Michael Bradfield '59, formerly of counsel in the Washington, D.C., office of Jones Day, will join the FDIC as its general counsel.


text:
This question is confusing me as I am not used to seeing percentages in a possibility question.
in a large insurance agency
- 60% of the customers have automobile insurance
- 40% of the customers have homeowners insurance
- 75% of the customers have on type or the other or both
a) find the proportion of customers with both types of insurance.
b) find the probability that a customer has homeowner insurance
given that he has automobile insurance
c) find the probability that a customer has automobile insurance given that
he has home insurance
I am not asking for someone to solve this, I am just wondering if it would be the same logic as a normal "rolling the dice n times question"?
so far I have thought of this :
$P(A) = \frac{6}{10}$ customers have auto insurance
$P(B) = \frac{4}{10}$ have homeowner insurance
$P(C) = \frac{7.5}{10}$ have one type or the other or both
a) so we have to do $A \land B$ and since they are independent events we can just multiply $P(A) \times P(B)$ : $$(6/10) * (4/10) = 24/100$$
b) $$P(B|A) = P(B \land A)/P(A) = (24/100)/6/10 = 4/10$$
now thats as far as I have done but I started thinking that I did not use $C$ at all so I think I am doing something wrong and I should take $C$ into account but not sure how. could some one tell me if I am doing anything wrong.


text:
HOME MLB Atlanta Braves Gear Atlanta Braves Kids Atlanta Braves Kids Newborn & Infant Atlanta Braves Kids Newborn & Infant Shorts & Pants (2 items) Product ID: 1514254
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After your little one is tucked away in bed, you turn on the TV to catch the end of the late-night Braves game. You think about all the times you and your parents went to a game together and can't wait to take your tiny fan with you. He can get started on his lasting love for the Braves right away with this spirited Player coverall from adidas. These footed PJs have flatlock-stitched raglan sleeves and printed team wordmark for classic MLB style. The snap buttons down the front will allow you to easily get him dressed in his comfy Atlanta gear for a full night of baseball dreams!
- 55% Cotton/45% Polyester
- Eight snap-button closures on front
- Faux-layered sleeves
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- Brand: Outerstuff
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Special event items are produced by manufacturers only after the outcome of a game or event. These are advanced sale items and will ship immediately after they are received in our warehouse.
Manufacturer direct items are shipped directly from the manufacturer. These items are not available for international or expedited shipping.
Customized items can be personalized with options such as your name, your favorite number, and/or designs. Some options may be limited by league rules.


text:
Highlighting the spellbinding beauty of the Three Colored Lakes of Kelimutu in Flores and all the wonders of East Nusatenggara Province, the Lake Kelimutu Festival 2013 will take place in Ende on 14th August 2013.
The festival will feature various art and cultural performances and also an exhibition and trade fair that showcases top products and services from all of the regencies in the East Nusatenggara Province. Through the festival, visitors will be presented with all the wonders of the 9 regencies of East Nusatenggara Province, namely: Lembata, East Flores, Sikka, Nagakeo, Ngada, East Manggarai, Manggarai, West Manggarai, and Ende. Presented by the office of Tourism and Creative Economy of East Nusa Tenggar Province and supported by the Ministry of Tourism and Creative Economy of Indonesia, the event is aimed to further promote various tourism and creative products of East Nusatenggara.
Mt. Kelimutu National Park is the smallest among six national parks in the stretch between Bali and the Nusatenggara islands. Its size obviously does not matter much when it offers one of the most spectacular wonders that nature has to offer. The three adjoining lakes, where each has its own distinct color, share the same name: Kelimutu. These are truly a spectacle unlikely to be found elsewhere in the world.
Located some 66 km. from the town of Ende or 83 km. from Maumere, Lake Kelimutu was discovered by a Dutch named Van Such Telen in 1915. It gained global fame since 1929, when Y. Bouman wrote in his notes about these extraordinary color-changing lakes.
More information available at: http://www.parekraf.go.id
Copyright © 2014 Ministry of Tourism, Republic of Indonesia. All Rights Reserved


text:
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Didi. TTH
Posted at 1:01 AM on April 19, 2014
Adrian Botten
Posted at 11:22 AM on April 18, 2014
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Posted at 1:14 PM on March 6, 2014
You can still have confidence and get surgery…it's not for everyone, but the pressure to look young and beautiful EVERYWHERE (especially in the film business) is consuming. Plastic surgery is something you might ponder for years, then maybe you go for it, and maybe wish you hadn't. Whether she had plastic surgery or not, she's still in the game and not giving up. Good for her. And seriously, she's 81, it's probably as good of a job as can be expected at that age.
Al Aska
Posted at 4:39 AM on March 5, 2014
Yes, she's 81, you would think by that age you would be celebrating your life, and have the confidence to age graciously, not trying to mask it . It's tragic, sad, and somewhat pitiful, that such an accomplished and revered person would succumb to the Hollywood/plastic surgeon concept of beauty. I thought she had been in a bad car accident, and was absolutely shocked to learn that she actually paid someone to make her look like this! Ladies of Hollywood – GET OVER IT and MOVE ON! From Joan Rivers to Kim Novak and all the Botoked, facelifted, lip-injected women of Hollywood, here's the truth that your friends won't tell you – you look un-natural and grotesque!
Nan Clarke
Posted at 3:22 PM on March 5, 2014
Well, you speak bravely. However, you were not revered for your looks all your life and YOUR career was not tied to "aging gracefully". Their careers were tied to looking young, vibrant etc. It is not an easy milieu to be inside, to earn your money with that huge harness to your looks. I didn't experience it, but I can understand why women in particular and in the Hollywood areas have gone for plastic surgery. Having not had to live through the stresses of Hollywood I have to make a decision with the same amount up for grabs. It is easy to couch surf and put these women down, but having not lived their lives and experienced their pressures, I don't see how anyone can judge them. I think naysayers should GET OVER IT and MOVE ON as it is not any of your business. Ms Novak…… your career and your accomplishments are astounding.
Posted at 12:28 AM on March 6, 2014


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I'm trying to create a football game where the user will make a flick gesture in order to kick the ball. I'm quite new to developing games in unity3d, I have successfully made a moving ball, added some rotation, gravity and some basic input (the ball follows the touch coordinates). How can I achieve the flick gesture?
If you want to stay in the "Unity state of mind" and keep your code platform independent (even if just so you can easily test on your desktop), I found the easiest way to handle gestures is using one of the gesture plugins.
I can recommend two:
Also worth mentioning is TouchScript a very professional free library, but may be an overkill for your needs.
At my company we use FingerGestures
Using that add-on, you'd be listening for and responding to events like: FingerGestures.OnFingerDragBegin += FingerGestures_OnFingerDragBegin; FingerGestures.OnFingerDragMove += FingerGestures_OnFingerDragMove; FingerGestures.OnFingerDragEnd += FingerGestures_OnFingerDragEnd;
Use the position returned from drag begin and drag end to determine the magnitude and direction of the drag, and record the start and end times in the event handlers to see how fast the gesture was. A drag done quickly is a flick.
A nice resource regarding basics of flick gesturing at MSDN http://msdn.microsoft.com/en-us/library/windows/desktop/ms694980%28v=vs.85%29.aspx
Regarding Unity3D, you can take help from the following resource http://forum.unity3d.com/threads/53587-Flick-and-Slide
The following code may help you


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I know this should be pretty simple, but right now the only way I can see how to prove it is to sit down and write out explicit formulae for the group law, and see that everything works out. What's the geometric or abstract-nonsense reason why the abelian group structure of elliptic curves behaves nicely under homomorphisms?
This follows by a rigidity property of certain morphisms. It is important to note that elliptic curves are complete, that is, proper and integral schemes. Then we have the following "Rigidity Lemma" (see Mumford's Abelian Varieties, the beginning of chapter II (page 43 of the old edition), for example):
Let $X$ be a complete variety, $Y$ and $Z$ any varieties, and $f:X\times Y\rightarrow Z$ a morphism such that for some $y_0\in Y$, $f(X\times\{y_0\})$ is a single point $z_0$ of $Z$. Then there is a morphism $g:Y\rightarrow Z$ such that if $p_2:X\times Y\rightarrow Y$ is the projection, $f=g\circ p_2$.
How does this help? Well, elliptic curves have a distinguished point (the origin), and a morphism of elliptic curves is a morphism of their underlying schemes taking one distinguished point to the other. We'd like to show that any such morphism is actually compatible with the group law. So consider a morphism of elliptic curves $f:E_1\rightarrow E_2$, and let $\Phi:E_1\times E_1\rightarrow E_2$ be defined by $\Phi(x,y)=f(x+y)-f(x)-f(y)$. Then $\Phi(E_1\times\{0\})=0$ so by the lemma I quoted, there is a morphism $g:E_1\rightarrow E_2$ such that $\Phi=g\circ p_2$. And since $\Phi(\{0\}\times E_1)=0$, as well, $g$ must be zero. But then $\Phi$ itself must be zero.
None of this relied on $E_1$ and $E_2$ being elliptic curves; it works exactly the same way for abelian varieties.
There is also a simple analytic proof which is enlightening in a different way.
Let $f : E \to E'$ be a morphism of elliptic curves. Both E and E' have $\mathbb C$ as their universal covering space. The composition $\mathbb C \to E \to E'$ lifts uniquely to a continuous map $\overline f$ from $\mathbb C$ into the the universal covering of $E'$ (since the source is simply connected), and $\overline f$ is holomorphic because the map $\mathbb C \to E'$ is locally biholomorphic.
Let $E = \mathbb{C}/\Lambda$, $E' = \mathbb{C}/\Lambda'$. We know that for $\lambda \in \Lambda$ we have $\overline f(z+\lambda) - \overline f(z) \in \Lambda'$, hence $\overline f(z+\lambda) - \overline f(z)$ is constant as a function of z. Differentiating, the derivative of $\overline f$ is a doubly periodic entire function, so it is a constant. Since $f$ should preserve the basepoint on the elliptic curves, which is the image of 0, we can assume that $\overline f (0) = 0$ and so $\overline f (z) = cz$ for some constant $c$. But the group laws on E and E' are induced by the group law on $\mathbb C$, so the fact that f preserves the group structure reduces to the distributive law!
The same proof holds also for any complex torus.
This answer is an elaboration on some of the earlier ones. Throughout we suppose that $\phi:E\_1 \rightarrow E\_2$ is a morphism of elliptic curves (so in particular it preserves the origins, i.e. $\phi(O) = O$).
Here is a concrete form of the rigidy argument:
If $P$ is in $E\_1$, then we define a map $\phi\_P:E\_1 \rightarrow E\_2$ via $\phi\_P(X) = \phi(X + P) - \phi(P)$. Note that $\phi\_O = \phi.$ (Here we use the fact that $\phi(O) = O$.) Thus $\phi\_P$ is a family of map $E\_1 \rightarrow E\_2$, parameterized by $E\_1$, passing through $\phi$, with the property that $\phi\_P(O) = O.$
Now $\phi\_P$ induces a corresponding local map on local rings $\phi_P^*: \mathcal O_{E\_2,O} \rightarrow \mathcal O_{E\_1,O},$ and hence also on the finite length quotients $(\phi_P^*)_n: \mathcal O_{E\_2,O}/\mathfrak m^n \rightarrow \mathcal O_{E\_1,O}/ \mathfrak m^n$. (Here we use $\mathfrak m$ to denote the maximal ideal in each of the local rings.)
If $k$ is our ground field, then the source and target of $(\phi_P^*)_n$ are just finite-dimensional vector spaces, and so $P \mapsto (\phi\_P^*)_n$ is a morphism (of varieties) from $E$ to a finite dimensional (and in particular, affine!) space of matrices. Since $E$ is projective and connected, it must be constant.
Thus $(\phi_P^*)_n = (\phi_O^*)_n$ for all $n$, and so passing to the limit we find
that $\phi_P^* = \phi_O^*$. Thus $\phi_P$ and $\phi_O$ induce the same map on
local rings at $O$, and since $E$ is irreducible, they therefore coincide.
Thus $\phi\_P = \phi\_O = \phi.$ Unwinding the definition of $\phi\_P$, we find that $\phi(P + X) = \phi(P) + \phi(X)$ for all $X$, and thus that $\phi$ is a group homomorphism.
Here is a concrete version of the argument with Picard and divisors:
To show that $\phi$ is a homomorphism, it is easy to see that it suffices to show that $P + Q + R = O$ implies that $\phi(P) + \phi(Q) + \phi(R) = O.$ (This uses the fact that $\phi(O) = O$; hopefully no confusion is caused by using $O$ to denote the origin on both $E$ and $F$.)
Now $P + Q + R = O$ (in the group law of $E$) if and only if there is a rational function $f$ such that div $f$ = P + Q + R - 3 O (where now the right hand side is a divisor on $E$); i.e. if and only if $P + Q + R - 3 O$ is a principal divisor. (Concretely, if $E$ is given by a cubic Weierstrass equation in ${\mathbb P}^2$ with homogeneous coordinates $X$, $Y$, and $Z$, then $P + Q + R = O$ when $P$, $Q$, and $R$ are collinear, and then if $\ell(X,Y,Z)$ is the equation of the line passing through them, the function $f$ can be taken to be $\ell(X,Y,Z)/Z^3$.)
Similarly $\phi(P) + \phi(Q) + \phi(R) = O$ in the group law on $F$ if and only if the divisor $\phi(P) + \phi(Q) + \phi(R) - 3 O$ is principal.
So we are reduced to showing that $\phi$ takes principal divisors to principal divisors.
This is a general property of maps of smooth projective curves: if $\phi$ is constant, there is nothing to show. Otherwise, if $\phi:C \rightarrow D$ is non-constant, then it induces a finite extension of function fields $K(D) \hookrightarrow K(C)$, and we have the corresponding norm map (in the usual sense of field theory) $K(C) \rightarrow K(D)$. It turns out that for any function $f \in K(C)$, we have div$(\text{norm of }f) = \phi(\text{div }f)$. (This is an exercise whose difficulty will vary with your comfort level with the material; if you understand the basics of rational functions and divisors on curves well, then it is not too hard.)
have a look at lemma 4.9 and exercise 2.6 in chapter IV of hartshorne. i think it comes down to the fact that the group of an elliptic curve is isomorphic to its picard group--the group of invertible sheaves where the group operation is given by tensor product--and the fact that a morphism $f:X\to Y$ induces a homomorphism $f_*:Pic\ Y \to Pic\ X$.
(the isomorphism sends a point P to the sheaf of functions with a simple zero at P and a simple pole at infinity.)
You don't need explicit formulas. In a more general setting, let $A$, $B$ be abelian varieties and let $f:A\to B$ be a morphism of varieties sending $0$ to $0$. Then $f$ is automatically a morphism of abelian varieties : it preserves the group structure.
See for example Mumford's book on Abelian Varieties, or Milne's online notes. On p. 8, Milne writes
Corollary 1.2. Every regular map $\alpha:A\to B$ of abelian varieties is a composite of a homomorphism with a translation.
This is a consequence of the "rigidity theorem".
You might also consult his earlier expository article 1986b.


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I love looking at the early stages of a a creative work I've experienced in its finalized form. You get a glimpse of what-almost-was, what-could-have-been, and sometimes the thank-god-that-didn't-happen.
Bulbapedia has a fascinating page on prototype Pokemon and prototype trainers, as well as some Pokemon that just plain never made it into a Pokemon game. (Yet?)
Maybe you'll find these more pleasing than the actual Pokémon that Gamefreak created—that is, if you're one of those crazy people who thinks Pokemon designs are getting worse.
Regardless, there's a bunch more at Bulbapedia that you should check out, including Slaking, Tyranitar and others. We've also covered a few early designs here.
Prototype Pokémon and characters [Bulbapedia]


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Shannon's idea of diffusion is fundamental to cryptography.
Besides being a descriptive idea, is there any work on measuring or expressing it? Saying something like "System A has more diffusion than B" or "The information in bit x is diffused 1/3 into bit y, 1/3 into bit z, and the remaining third among 11 more bits".
Is there a way to evaluate the diffusion of a transform? XOR does no diffusion, Add with carry does small diffusion, and a permutation may do a lot of diffusion.
In short: Diffusion is a great idea - how can we approach it mathematically?
UPDATE: For instance, we should be able to quantify the diffusion done by adding with carry. This breaks both of the suggested answers: Adding may update the value of every bit. Modifying one bit of the input may modify several bits of the output. But adding still doesn't diffuse very well.


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Lyme disease having ripple effects
Some sufferers forswear marriage, children, job due to pain
By MARTIN CASSIDY Stamford Advocate
Not a subscriber? You can purchase a single-day subscription for only $0.75 to read this and access all of our content and our E-Edition. CLICK HERE purchase a single day subscription.
Become an electronic subscriber to the Republican-American for only $8 a month. CLICK HERE.


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Meditative Thoughts for Autumn
"It is true that spring is fair, and it is a fine capacity of the human soul to perceive the beauty of the spring, the growing, sprouting, burgeoning life. But to be able to perceive also when the leaves fade and take on their fall coloring, when the animals creep away — to be able to feel how in the sensible which is dying away, the gleaming, shining, soul-spiritual element arises — to be able to perceive how with the yellowing of the leaves there is a descent of the springing and sprouting life, but how the sensible becomes yellow in order that the spiritual can live in the yellowing as such — to be able to perceive how in the falling of the leaves the ascent of the spirit takes place, how the spiritual is the counter-manifestation of the fading sense-perceptible; this should as a perceptive feeling for the spirit — ensoul the human being in autumn! Then he would prepare himself in the right way precisely for Christmastide."
Rudolf Steiner
Source: The Cycle of the Year as Breathing-Process of the Earth, Lecture 3
Contributed by: ChristyK
People must learn once more to "think" the spiritual "together with" the course of nature. It is not admissible today for a person merely to indulge in esoteric speculations; it is necessary today to be able once again to do the esoteric. But people will be able to do this only when they can conceive their thoughts so concretely, so livingly that they don't withdraw from everything that is going on around them when they think, but rather that they think with the course of events: "think together with" the fading of the leaves, with the ripening of the fruits, in a Michaelic way, just as at Easter one knows how to think with the sprouting, springing, blossoming plants and flowers.
Source: The Cycle of the Year as Breathing-Process of the Earth
Copyright © 2016 Gaiam, Inc.


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New year should bring reform for overweight container issue
December 27, 2010 - LM Editorial
The World Shipping Council (WSC) and the International Chamber of Shipping (ICS) are urging the International Maritime Organization (IMO) to establish an international legal requirement that all loaded containers be weighed at the marine port facility before they are stowed aboard a vessel for export.
This is a move that is long overdue.
In 2008, the industry developed and released Safe Transport of Containers by Sea, Guidelines on Industry Best Practices, with a view to minimizing the dangers to containerships, their crews, and all personnel involved with containers throughout the transport chain. The Guidelines have been highly regarded and have been widely disseminated. However, the Guidelines have had little discernible effect on reducing the incidences of shippers' providing incorrect container weights, or on ensuring that marine terminals verify the weight of loaded containers upon receipt/prior to loading.
In the absence of a legal requirement that marine terminal operators perform a weighing function for all loaded ("stuffed") containers before vessel loading, it seems likely that a substantial number of containers will continue to go unweighed and that overweight containers will continue to pose a risk to safe ship operations, to ships' crew, and to other personnel in the supply chain.
Therefore, the IMO should establish a universal international regulatory requirement that export cargo containers must be weighed by the marine terminal upon receipt and before vessel loading, and that the actual container weights be made available to the vessel operator and used for vessel stowage planning.
About the Author


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Cottage Grove Speedway Back For Springfield Chamber/Pepsi Night Saturday July 12th
By Ben Deatherage
(Photo Courtesy of Dirt Monkey Productions)
Cottage Grove, Oregon- Cottage Grove Speedway will be in action on Saturday July 12th for Springfield Chamber of Commerce Night. Classes competing include the Northwest Wingless Tour, IMCA Modifieds, Street Stocks, W.R.S. Late Model Lites, and Hornets. It will also be a Pepsi Family Night which means we will offer our normal Family Pass rate but folks that purchase one will receive complimentary soft drinks courtesy of Pepsi and the Bigfoot Beverage Company.
The Northwest Wingless Tour has only been to CGS once and Colin Baker was the big winner. Braedon Hand and Mark Wauge are still tied at three in the wins column when it comes to the IMCA Modifieds. Jesse Williamson and most recently Tom Berry Jr.
Evan Britton has won the last three Street Stock events while Justin Evans is the only other repeat winner with two. Steve Begley and T.J. Langan each have one. Taunton Swaim has four and joining him as the only driver to win more than once is Chris Pierce. Josh Corley and Eric Cooper have managed to grace victory lane on just one single occasion.
Be sure and get your $2.00 coupons at either Boyce & Sons Landscaping and Building Materials, Jim's Tire Factory, the Cottage Grove Community Center, Welt & Welt Inc., Bonanza Drive Up, or the Pink House Restaurant in Cottage Grove. You can also find the coupons in Eugene at Aesthetic Surgical Arts or in Springfield at Jazzie's Deli or Giant Burger.
The Chamber of Commerce in Springfield is an active leader in promoting a healthy and prosperous community. They encourage and welcome businesses to our community and provide networking opportunities, educational scholarships, and leadership training for individuals and for the business community. For more information log on to their website at www.springfield-chamber.org or give them a call at (541)-746-1651.
Pit Gates will open at 2:00 PM, Front Gates open at 4:00, and racing starts at 6:45. Tickets are Adults $12.00, Seniors/Military/Juniors (13-17) $10.00, Youths (Ages 12-6) $5.00, and Children under the age of 5 are FREE and a Family Pass will be offered for two Adults and up to four Youths for just $35.00. For more information log on to www.cottagegrovespeedway.com.
Driven by MyRacePassTM
Cottage Grove Speedway | All rights reserved


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Tag Archives: accessories
The Colorful Friday Sale
Don't be dreary! Break out of the black with our Colorful Friday Sale! Starting this Monday, November 19, take part in our largest sale of the year at the Newport Cottages retail store in Fashion Island, Newport Beach. Save 20% … Continue reading


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I heard from my lecturer that electron has dual nature. For that instance in young's double slit experiment electron exhibits as a particle at ends but it acts as a wave in between the ends. It under goes diffraction and bends. But we don't see a rise in energy. It has to produce 500kev of energy (please correct if my approximation is wrong) according to mass energy equivalence relation. But wave is a form of pure energy and doesn't show properties of having mass as of experimental diffraction. So where is the mass gone?
I don't really like the whole wave-particle duality business because it obscures the more startling truth about particles: they aren't sometimes waves and sometimes particles, and they also don't transform into waves sometimes before reforming as particles, they are something completely different.
It's like the story of the blind men and the elephant: a group of blind men are trying to describe an elephant by touch, but each man is touching a different part of the elephant. The man who touches the elephant's side says it's like a rough wall, the man who touches its leg says it's like a pillar, the man who touches its tail says its like a rope, and so on. All the men are right, of course, but they simply have incomplete pictures of the elephant because they cannot observe its full character.
Similarly, when we observe the behavior of things like electrons or photons, we sometimes think they are acting as particles, and other times that they are acting as waves. But really, they are neither waves nor particles, but something new that has properties of both; it is only the case that in many cases, only their particle-like or wave-like behavior happens to be relevant to their behavior, and so we treat them as such. So while the phrase "wave-particle duality" might make it seem as if particles can become waves (hence your question), what actually exists is a strange sort of object that always has properties of both particles and waves, only one of which may be easily observable in some cases, and the question of where an electron's mass goes when it becomes a wave isn't really applicable, since it doesn't become a wave at all.
EDIT: It's worth noting, as Anna pointed out, that the wave-like character of objects isn't quite the same as a normal wave, as there isn't really any physical substance that's waving in any real sense. Instead, the "wave" is a probability function that assigns a probability to each point in space, representing the likelihood of finding the particle there; it just so happens that this function takes the mathematical form of a wave. This is a deep subject, so I'll refer you to Anna's answer for further information.
The waves of quantum mechanics are probability waves. The solutions of quantum mechanical equations are the wave functions and the square of the wave function gives the probability of finding the particle at $(x,y,z,t)$.
That is why the solutions for the electrons in the field of a nucleus are not orbits, but orbitals, i.e. probability distributions.
The wave particle duality for particles with mass says that they behave like classical particles when detected macroscopically, as in this bubble chamber picture, or as probability waves when looked at small distances, commensurate with $\hbar$. For photons the particle nature appears in the photoelectric effect, and the probability wave formalism builds up the classical electromagnetic wave with the same frequency.
It seems that you have misundrstood the wave-particle duality.
What happens in the double slit experiment is that the electrons impact at the screen as they were particles. But they also interfere, just as waves. So you can see a wave-particle behaviour.
But it doesn't say that the electron is destroyed, becomes a wave and then a particle again (as you seem to think).
NO, waves are not pure energy (for example, sound waves have mass). Maybe you understood that it was supposed to be an electromagnetic wave?
As a sidenote, I think that the wave-particle duality gives a wrong impression, since it's not a classical wave and it can be explained using just particles . See my answer here.
Basically, the wave effect is due to the probabilistic behaviour in quantum mechanics, why can be explained using the wavefunction. But we can predict everything using particles and no waves.
You just have to consider that the electrons passes through both slits and sum the contributions of each path:
The wave-particle duality thing becomes important when you are dealing in a microscopic scale where quantum mechanics becomes relevant and you have to discard your ordinary notion of particle and wave. So don't expect to relate "particle" or/and "wave" notion that you usually get from picturing a marble or water wave from classical world surrounding you.
Point Particle is a concept of structureless, dimensionless entity which only has its existence but no internal structure, so you can't expect an electron to be pictured as a marble ball. And wave is a concept that anything which is a function of space and time whether it is something physical or purely mathematical. So when we talk about "wave-particle duality" we actually mean that in the microscopic world scale - say for election, it's not actually wave or particle at the same time or neither, rather we mean it behaves like particle in some experiment and behaves like wave in some other experiments depending on conditions. Being a particle or wave is fundamentally very different than behaving like particle or wave. moreover we really don't know what a electron really is, for details see The Feynman Lectures on Physics.
So we demanded a wave function to the best describe a electron's nature in quantum mechanics. But when we work in quantum field theory we describe fundamental particles as a quantum field, neither the wave function or quantum field is a physical thing that you can measure or picture or relate to anything to your classical analog. These are the mathematical abstraction that helps the physicist to describe fundamental particles nature in subatomic scales and their interactions. Hope this helps.
Electron is accompained by waves, so there still exists electron which has mass. This solves your problem I hope.
Look here at what de Broglie says in his Nobel lecture of 1929 (this is an extracted portion):
Hear from Broglie about interference:
The so called Copenhagen Interpretation avoids the question about whether the electron is a particle or a wave. This question is directly not allowed. In fact, the wave function is an instrument of the theory with not physical meaning. Acording to CI, the goal of the theory is only to make predictions about the results of a specific experiment. In the case of the double slit experiment, we can ask: what is the probability that a given detector at screen will be activated? The theory has a precise answer to this question. But the question: how does an electron behave? does not relate with a specific experimental situation.


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GENESEO, N.Y. -- GENseng, SUNY Geneseo's Asian American performance ensemble, will showcase playwright and stage director Rick Shiomi's award-winning production "Mask Dance" April 29 - May 1 in the School of the Arts' Robert Sinclair Theatre. The performances are Thursday at 7 p.m., Friday at 4 p.m. and Saturday matinee at 2 o'clock. The production is directed by Randy Barbara Kaplan, professor of theater in Geneseo's School of the Arts, who founded GENseng with three students in 1999.
Shiomi, one of the leading figures of the Asian American theater movement, is the artistic director and one of the founders of the Minneapolis-based theater company Mu Performing Arts. His plays have been produced by the major Asian American theater companies including the Asian American Theater Company in San Francisco, Pan Asian Repertory in New York City and East West Players in Los Angeles. He also has written screenplays for film and television.
GENseng is the only ensemble of its kind in the entire 64-campus SUNY system. Since its founding, the group has produced a contemporary Asian American play each semester.
GENseng's mission is to educate the Geneseo community about the histories, literatures, and cultures of Asian Americans, and to provide training for all students who participate in GENseng to learn acting, directing, and technical theater.
Tickets for the performances are $7 and are available at the Brodie Hall Box Office, online or by calling 585-245-5833.
Media contact:
David Irwin
Media Relations Manager
(585) 245-5516


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Active only on the fabric surface, Polygiene permanent odor control does not interfere with perspiration or with the skin's natural bacterial flora. Polygiene particles are more than 100 times larger than nanoparticles and therefore are too large to penetrate to the skin's barrier. Polygiene-treated fabrics have received Medical Class 1 approval in Europe, the same class that includes bandages.
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Most of us can probably find at least one bottle with unused prescription medication in our homes these days.
Whether they are pills we simply no longer needed, decided to stop taking or perhaps once belonged to a loved one, we often have these leftover pharmaceuticals set aside somewhere around our homes, and we're not always certain what to do to dispose of them.
Unfortunately, these days there are those who know of this habit and decide to try to get their hands on these drugs for illegal purposes.
In an effort to stop this, Advocates for Substance Abuse Prevention has been working in the last few years to provide drop boxes in our local communities to give residents an opportunity to get rid of their old, unused prescriptions and not have to worry about them falling into the wrong hands.
The latest of these boxes is now located at the Weirton Police Department, and we encourage area residents to make use of it.
All it takes is a visit to the police department between 8 a.m. and 4 p.m. during the week, and a representative of the department will accept the drugs and deposit them in the box for collection.
You don't have to provide them with any information.
Other drop boxes are located in the Hancock and Brooke county courthouses, as well as the police departments in Follansbee and Chester.
According to ASAP representatives, the drop boxes throughout our two counties have had a great response from our communities, and we are sure this latest one will be no different.
The boxes are safe and sturdy, making it difficult, if not impossible, for people to get into them and reach their contents.
There are many drug-related problems in our area, and this is just one more way people are standing up to fight back.


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This is one of those perhaps rare occasions when someone takes the advice of the FAQ and asks a question to which they already know the answer. This puzzle took me a while, but I found it both simple and satisfying. It's also great because the proof doesn't use anything fancy at all but it's still a very nice little result.
Here's another argument that has the disadvantage of being less elementary, but the advantage of working on all $\mathbb{C}P^{2k}$ simultaneously. (This also answers Pete's question in the comments).
We're going to apply the Lefshetz fixed point theorem which states the following: Suppose $f:M\rightarrow M$ with $M$ "nice enough" (certainly, this applies to compact manifolds - I think it applies to all compact CW complexes). Then $f$ induces a (linear) map $f_*:H_*(M)/Torsion\rightarrow H_*(M)/Torsion$. Let $Tr(f)\in\mathbb{Z}$ denote the trace of this map. If $Tr(f)\neq 0$, then $f$ has a fixed point.
Now, we'll show that every diffeomorphism $f:\mathbb{C}P^{2k}\rightarrow \mathbb{C}P^{2k}$ has trace $\neq 0$, so that every diffeomorphism has a fixed point. Believing this for a second, note that every element of $\pi_1(X)$ for a hypothetical space $X$ covered by $\mathbb{C}P^{2k}$ acts by diffeomorphisms, and thus has a fixed point. But it is easy to show that the only element of the deck group which fixes any point must be the identity. It follows that $\pi_1(X)$ is trivial, so $X=\mathbb{C}P^{2k}$.
So, why does every diffeomorphism of $\mathbb{C}P^{2k}$ have a fixed point? Well, every diffeomorphism (or even homotopy equivalence!) must act as multiplication by $\pm 1$ on each of the $2k+1$ $\mathbb{Z}$s in the cohomology ring of $\mathbb{C}P^{2k}$ and the trace of the induced map is the sum of all the $\pm 1$s. But since there is an odd number of $\pm 1$s, they can't sum to 0 (by, say, checking the parity), so by the Lefshetz fixed point theorem, every diffeomorphism (or even homotopy equivalence) must have a fixed point.
What about $\mathbb{C}P^{2k+1}$? Now we must investigate using the ring structure of $\mathbb{C}P^{2k+1}$. Since there is a single multiplicative generator, once we know what happens on $H^2(\mathbb{C}P^{2k+1})$ we know what happens everywhere. It's easy too see that every orientation preserving homotopy equivalence must have a fixed point: if $f$ is orientation preserving, it's the identity on $H^{4k+2}(\mathbb{C}P^{2k+1})$, which implies it must have been the identity on $H^2(\mathbb{C}P^2)$ so it's the identity on all cohomology groups. Thus, the trace of such an $f$ is $2k+1\neq 0$, and so, by the Lefshetz theorem, this map has a fixed point.
As an immediate corollary, if $\mathbb{C}P^{2k+1}$ covers anything, it can only double cover it. For the product of any two nontrivial elements in the deck group must be trivial: any nontrivial map must be orientation reversing and the composition of two orientation reversing maps is orientation preserving, hence has a fixed point, hence is the identity. That is, any two nontrivial elements product to $e$. It's easy to show that this implies the Deck group is $\mathbb{Z}/2\mathbb{Z}$ (or trivial).
In fact $\mathbb{C}P^{2k+1}$ does double cover something (though, to my knowledge, it doesn't have a more common name, except in the case of $\mathbb{C}P^1 = S^2$ double covering $\mathbb{R}P^2$). In homogeneous coordinates, the involution maps $[z_0:z_1:...:z_{2k+1}:z_{2k+2}]$ to $[-z_1:z_0:...:-z_{2k+2}:z_{2k+1}]$. This involution acts freely, and the quotient of $\mathbb{C}P^{2k+1}$ by the involution is a space which $\mathbb{C}P^{2k+1}$ double covers.
I do not know if $\mathbb{C}P^{2k+1}$ covers anything else.
Incidentally, just to preempt a bit, the space $\mathbb{H}P^{n}$ doesn't cover anything unless $n=1$. The proof is much more complicated in general (though the case where $n$ is even follows precisely as it did in the $\mathbb{C}P^{2k}$ case).
In general, one needs to compute Pontrjagin classes and note that they are preserved by diffeomorphisms.
We have $p_1(\mathbb{H}P^n) = 2(n-1)x$ where $x$ is a particular choice of generator for $H^4(\mathbb{H}P^n)$. Since any diffeomorphism must preserve $p_1$, it follows that so long as $n\neq 1$, we must have $x\rightarrow x$ on $H^4$. Then, the Lefshetz theorem once again guarantees a fixed point.
Euler characteristic is multiplicative, so (since $\chi(P^2)=3$ is a prime number) if $P^2\to X$ is a cover, $\chi(X)=1$ and $\pi_1(X)=\mathbb Z/3\mathbb Z$ (in particular, X is orientable). But in this case $H_1(X)$ is torsion, so (using Poincare duality) $\chi(X)=1+\dim H_2(X)+1>1$.


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New Years Eve Party Ideas – What Can I Dress Up As?
Wednesday, December 11, 2013
New Year's Eve is always a popular time to break out the fancy dress and hit up the pubs and bars with a few choice friends dressed in something special to celebrate the culmination of the year.
If like us you enjoy the act of being on the cusp of new fancy dress fashions and picking up the latest costumes and getting decked out in an outfit before everyone else, then you're in for a treat. We have some superb new lines for you that look absolutely amazing as well as a select smattering of classic New Years Eve fancy dress costumes that will have you kitted out and lead you to the best New Year's ever.Read more