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In the few days since you conceived, you may have experienced a whole host of different feelings. Even if you planned to get pregnant, it's perfectly normal for the initial elation to be replaced with some anxiety as the reality hits you that you are going to be a mom. You might also doubt the result of the test you've taken and not actually believe it until you begin to have some of the early symptoms of pregnancy.
Your partner may react differently than you. If he doesn't appear as excited, don't interpret this as meaning that he is not happy about the news; not everyone deals with big events in the same way, and it might be some time before the reality of becoming a dad hits him. Withdrawing into himself may be his way of giving himself some time to process the information. Conversely, you may find he's actually more excited about the news than you!
Handling your feelings might be made more difficult by trying to keep the pregnancy a secret, for the time being. Most couples decide not to tell people until after the 12-week scan when the miscarriage risk is significantly decreased, but you may find that confiding in a few close relatives and friends will give you a much-needed outlet to talk about your feelings.
Pregnant women often try to connect with their baby through dreams.
You may find it difficult to fully bond with your baby and believe you're actually pregnant. A common dream in pregnancy is that you're swimming; it is thought to be a way of trying to "reach" the baby, who will soon be bathed in water (fluid) inside you.
If you're one of the few women who has become pregnant while using contraception, it is unlikely to have done your baby any harm, but depending on what you were using, here's what you should do:
Excerpted from Pregnancy Day by Day.
Copyright © 2008 Dorling Kindersley Limited.
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Ripped from the headlines.
Two weeks ago, a retired University of Illinois professor discovered a previously unknown poem by Carl Sandberg. You may recall reading a thing or two about its subject.
Full text after the jump.
Here is a revolver.
It has an amazing language all its own.
It delivers unmistakable ultimatums.
It is the last word.
A simple, little human forefinger can tell a terrible story with it.
Hunger, fear, revenge, robbery hide behind it.
It is the claw of the jungle made quick and powerful.
It is the club of the savage turned to magnificent precision.
It is more rapid than any judge or court of law.
It is less subtle and treacherous than any one lawyer or ten.
When it has spoken, the case can not be appealed to the supreme court, nor any mandamus nor any injunction nor any stay of execution come in and interfere with the original purpose.
And nothing in human philosophy persists more strangely than the old belief that God is always on the side of those who have the most revolvers.
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Better than Franco's, at least.
He says it all well, doesn't he?
I thought the quote was, "God is always on the side with the biggest batallions," but I can only find Voltaire's refutation of it regarding shooting straight.Regardless, it is similar to speaking of, "God helps those who help themselves," part of American civil religion of St. Horation Alger and the Prophet Ayn Rand who never manage to see the contributions and positive conditions set up by society to enable one to go so far. What does it mean about the NRA and survivalist militia mentalities that they see such a large need for limitless numbers of guns?What doe it say about them that the famous western marshals were almost all charged with enforcing gun restriction laws in places like Dodge City, where the first requirement to be allowed among "civilized people" was to check your pistol with the sheriff?
from Wikipedia:The phrase "God helps those who help themselves" is a popular motto that emphasizes the importance of self-initiative.The phrase originated in ancient Greece, occurring in approximately equivalent form as the moral to one of Aesop's Fables, Hercules and the Waggoner, and later in the great tragedy authors of ancient Greek drama. Although it has been commonly attributed to Benjamin Franklin, the modern English wording appears earlier in Algernon Sidney's work.The phrase is often mistaken for a Bible quote, but it appears nowhere in the Bible. Some Christians have criticized the expression as being contrary to the Bible's message of God's grace.
This is the most interesting psychology article I've read in years. It's about a theory of why American high schools produce the kind of people they do. In a nutshell, they instill life-lasting fear in people, a third of whom don't even learn how to read the expressions on other people's faces. (!) The theory applies to Congress too. No doubt it will be controversial, but a lot of it makes sense to me. It's Jennifer Senior's "Why You Never Truly Leave High School".http://nymag.com/news/features/high-school-2013-1/
Revolver?These days that sounds almost quaint. Imagine being able to kill only six people at a time! So inefficient!
And what does God ask us to do for people who cannot help themselves? How about Mt 25:35.
Ann, very interesting article. Ironic that we send kids to school to be "socialized," and the "socialization" is really a construct of their own isolation in the "big box" with people they have nothing in common with. Schools can screw up kids, no doubt.But the flip side is that school is a haven for some kids. The jocks and princesses were a minor irritation compared to the scary stuff my parents were dishing out at the time. Plus I had some wonderful teachers who were encouraging and modeled "normal" adult behavior. I didn't confide personal stuff to them, but I sometimes would look for articles or cartoons and leave them on their desks with little notes. Sometimes they would recommend or loan me books. I never wanted to appear needy (still don't), but the interaction meant a lot to me, more than I realized at the time.
Jean --Yes, teachers can make a huge difference in a kid's school experience. But teachers need sufficient preparation. My problem with teacher certification is that, although they typically learn a lot of psych, they are not required to take ethics. Without at least a basic understanding of the ethical principles found in our culture, kids will grow up thinking might make right -- they will learn that from the bullying in the halls and lunchrooms and playgrounds. True, there are conflicting ethical principles in our culture, but unless kids learn to articulate the differences we will never come to a meeting of minds. And, yes, I think that a lot of ethics can be taught in high school, if not explicitly then implicitly by teacher attitudes and behavior.
It expresses its thoughts in striking fashion. Is it truly a poem? It reads like a quite contemporary thing - it reminds me of those clever, pithy, folksy emails that make the rounds - one of those emails that includes instructions to scroll down to see the punch line. This Sandburg thing isn't dopey like most of those emails are, but it reads as though it is from that genre.
JIm --It's also a series of very effective metaphors which make the minimalist message even more powerful. Kind of like a bullet.
I do not know how Frost went about writing his poetry. I am wondering if this is a first draft of a potential poem. It certainly has figures of speech, such as metaphors, that Frost used in his poetry, e.g., "It is the claw of the jungle made quick and powerful.It is the club of the savage turned to magnificent precision. "When it has spoken, the case can not be appealed to the supreme court .is a particularly powerful image.However, there is none of the intermittent rhyme that he uses in his poems. Is it truly a poem. If it isn't yet a poem, it is an excellent poetic work of prose and packs a wallop.
Correction: I meant Carl Sandburg.
Now there's a topic for a thread or two or a hundred -- what is poetry? :-)
"Is it truly a poem. If it isnt yet a poem, it is an excellent poetic work of prose and packs a wallop."Helen - yes, exactly. The only thing of Sandburg's that I can recall reading is the Lincoln biography. I don't know where he ranks in the pantheon of American poets, but he was one helluva biographer.
Jim P. --I don't think the critics are greatly enamored of Sandburg these days, but everyone seems to love this little haiku-like poem. The FogThe fog comeson little cat feet.It sits lookingover harbor and cityon silent haunchesand then moves on.

subset: commoncrawl


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Supplies & Accessories
Customer Support
In the 1960s college students changed American culture forever with the saying, "Don't trust anyone over 30." The intergenerational tensions that exist today are more of an undercurrent — dubbed Generation Gap 2.0 — but even an undercurrent can have a big effect on teams, employee training and mentor relationships. A study conducted by Harris Poll on behalf of Ricoh turned up these findings:
The survey was conducted online within the United States from August 1-5, 2014 among 2,014 adults, ages 18 and older, of whom 1,034 are employed full time, part time or self-employed, by Harris Poll on behalf of Ricoh.
Gen Y and Boomers appear to view commitment and competence differently, but look below the surface. For example, Boomers may stay late at work to demonstrate their work ethic. Gen Y, on the other hand, may not value staying late because 24/7 connectivity makes it easy to work from anywhere.
And the criticism of older generations? Well, that's worth questioning, too. Technology shortcomings might be overblown. By some reports, Boomers are less immersed in technology than younger workers*, but perhaps that's because they have a different sense of the value of face time. It's possible that younger people are too immersed in their digital worlds.
You see how the lives of Gen Y center on the Internet. It's their "real world." For them, digital communications are as easy and natural as face-to-face conversations. For older workers, the Internet augments the real world. And digital communications are inadequate, even frustrating, substitutes for talking in person. But just like a winning baseball team needs a mix of good pitchers, hitters and fielders, a high-functioning workplace needs a mix of workstyles.
Workers of all ages have one thing in common. They need information in the right form on the right device at the right time to do their jobs. Make this easy for your workers, and you'll bridge gaps. And when you design mentorship and training programs, strike a balance between tech expertise and people skills — employees can learn from each other.
You also might consider setting up a generational council or committee. You can bring multiple generations together to talk about challenges and opportunities. Get workers of all ages involved, and you'll be on your way to turning generational differences into strengths that enhance overall workforce performance.


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Sen. Graham Says 4,700 Killed In U.S. Drone Strikes
We've all heard that drone strikes directed against al-Qaida and other militants have been on the rise, but now Sen. Lindsey Graham, R-S.C., has put a number on deaths by U.S. unmanned aerial vehicle: 4,700.
Graham, a member of the Senate Armed Services Committee, rattled off the death toll during a talk he gave to the Easley Rotary Club in Easley, S.C., Tuesday afternoon.
"We've killed 4,700," Graham said.
"Sometimes you hit innocent people, and I hate that, but we're at war, and we've taken out some very senior members of al-Qaida," he added.
But as The Hill notes, the CIA and Pentagon have yet to publicly disclose the actual casualty count from U.S. armed drone operations:
Unofficial casualty estimates stemming from armed drone operations have put the death toll at between 1,900 to 3,200. Most of those strikes have taken place in places like Afghanistan, Pakistan, Yemen and elsewhere in the Mideast and North Africa.
However, Graham's spokesman Kevin Bishop told The Hill on Wednesday the senator was not quoting actual casualty figures provided by DOD or Langley, but citing independent analysis of the program.
According to Micah Zenko, who has written extensively about the use of drones for the Center on Foreign Relations, Graham's figure is far higher than the average found in the publicly available literature.
Zenko says Graham's figure is near the high end of a range reported by The Bureau of Investigative Journalism. TBIJ believes the number of killed in Yemen, Pakistan and Somalia in the period 2002-2013 is somewhere between 3,072 and 4,756.
Graham's remarks come as the White House has been under renewed scrutiny for the drone program as the Senate holds confirmation hearings on John Brennan, President Obama's pick to be the next CIA director.
On Tuesday, The Associated Press, citing a United Nations report, said the number of U.S. drone strikes in Afghanistan had shot up 72 percent and that they had also become more deadly in 2012, even as the number of civilian deaths had decreased.
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Ronda Carmen of All the Best, Scot Meacham Wood of Tartanscot, me again, and Christian May
(BTW....the latest issue is fantastic...you might want to run out and get it before it is gone....just sayin').
El Carmen photo via Yelp
After dinner, this girl was off to the hotel to rest up for the Keynote panels the next day. Stay tuned!!!


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September is in the hurricane season. But are there parts of Mexico that are pretty much hurricane free and have sunny weather (I want to spend the days on the beach) during that month?
Usually the Pacific side is OK, it's just the Atlantic side that gets hit hard (again, usually). Puerto Vallarta is a popular spot on the Pacific side.
Hope that helps.
I'm currently in Mexico, on the Pacific side, during hurricane season.
If you want sun it's hard to beat Baja Sur (southern Baja). There is little rain unless a cyclone comes through, and the sun and heat are punishing to say the least.
The weather on the mainland in the peak of summer (August/September) is hot, muggy, wet, and bug ridden. Baja is also pretty bad but minus a lot of the moisture.
I honestly don't know anyone who's spent August and September in Mexico that would voluntarily do it again. The weather is pretty bad, you'll hide in an AC'd room as much as you can, and cyclones can affect you anywhere.
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I am creating a table to store information about the placement of objects in a grid (game map).
For example, I have a 10x10 grid and I want to store, in the database, that cell (5,5) has a blue box, (3,3) has a red chair and so on.
There can be multiple items in any square, but the same item shouldn't be in the same square twice.
is it acceptable to have this structure? (all columns in primary key)
(room_id (FK), room_object_id (FK), x_cell, y_cell)(PK)
or will it be better to have this
id(PK), room_id (FK), room_object_id (FK), x_cell, y_cell
I think the first way makes more sense, but I'm worried that increasing the integrity checks whenever something is entered might create a lot of unnecessary overhead.


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Hybrid View
10 Jan 2013 10:39 PM #1
How to delete the data in Store that's already filtered
Help me Please
How to delete the data in Store that's already filtered
SharpJs.TrPenaltiesStore.filter('DefectId', 'CR01', false, true);
Then I want to remove the records
I want to keep that data but it's removed from the store and the data that I want to remove is still keep in the store.
How to handle this? Please help me Thanks
13 Jan 2013 9:31 AM #2
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store.removeAll() should remove all data, filtered or not filtered.Mitchell Simoens @LikelyMitch
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13 Jan 2013 5:12 PM #3
But I don't want to remove all data
I just want to remove the data that's already filtered and want to keep the others record in the store.
Still confuse with it
Because when I read to the store when it's filtered I got the right record (all record that DefectId ='CR01')
But when I process the .remove function the data that's remove not same with what I read
The data that's remove from the store is all the data in the store except CR01.
So after process remove I just got the filtered data. But it's different with what I want.
Actually I want to remove the record that's already filtered and keep the others, but I got remove the others and keep the filtered record.
14 Jan 2013 2:00 AM #4
One way of returning the filtered records is by attaching a function to the filtering, as seen in the API documentation:
store.filter([ { property : 'name', value : 'Ed', anyMatch : true, //optional, defaults to true caseSensitive: true //optional, defaults to true }, //filter functions can also be passed { fn : function(record) { return record.get('age') == 24 }, scope: this } ]);
14 Jan 2013 6:36 PM #5


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Warren Romney
Buffett's Heinz takeover rehabilitates the private-equity LBO.
First President Obama rehabilitates the reputation of the Cayman Islands as a tax shelter by nominating Jack Lew to be Treasury Secretary, and now Mr. Obama's most famous business cheerleader Warren Buffett is bidding to revive the good name of the private-equity leveraged buyout. Can someone verify that Mitt Romney lost the election?
Mr. Buffett's contribution to high-debt takeover finance comes in the form of his conglomerate's proposed $23 billion acquisition of H.J.
Mr. Buffett has invested in many famous consumer brands over the years, but what is fascinating here is the role of 3G Capital, which has a reputation for cost-cutting and layoffs that would make Bain Capital blush.
In October 2010, for example, 3G Capital bought Burger King for about $4 billion including debt from a group that included Bain, Goldman Sachs GS -1.07 % and TPG. The company proceeded to fire the CEO and cut the fast-food chain's employees by thousands in little more than a year. The Wall Street Journal reports that 413 people were sacked on a single day in December 2010.
However, profits began to rise, the company is now adding new restaurants, and 3G Capital was able to take Burger King public again last June after only 20 months of private ownership.
To believers in free markets, this sounds like a classic private-equity turnaround in which better management improves the value of a business. But Burger King and 3G Capital have also been targets of liberal media critics who view private-equity firms as rapacious capitalists. Imagine how 3G Capital's cost-cutting at Burger King would look if compiled by an Obama Super Pac into a black-and-white TV ad featuring interviews with workers who lost their jobs.
Heinz has a reputation for being leaner and better run than Burger King was, so perhaps 3G Capital will need to be less ruthless. The buyers have promised to keep the Heinz headquarters in Pittsburgh.
But the takeover will also be financed with significant new borrowing, which the Wall Street Journal reports will double Heinz's debt load to more than $12 billion. Fitch Ratings downgraded Heinz's debt to BB+, or junk bond territory, citing the heavier debt load. Heinz will also have to pay Berkshire a 9% rate on its investment in preferred shares, or about $720 million a year. The new owners had better hope interest rates stay low and the economy keeps growing.
The usual media critics of private equity are ignoring 3G Capital's takeover history, perhaps because of the role of Mr. Buffett, the billionaire patron saint of taxing the rich. The proposed deal is even being portrayed as one sign of the return of business animal spirits and a healthier economy. So much the better if they're right, but Mr. Romney is still entitled to some head-shaking about deal-making and political double standards.


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I am in LOVE
Started by Shoot-it , Jul 23 2006 04:47 AM
8 replies to this topic
Posted 23 July 2006 - 04:47 AM
I want this pistol this is on my wish list.....Like like this one too.
Posted 23 July 2006 - 12:37 PM
I love Kimbers. Check out the Raptor.
Posted 23 July 2006 - 12:59 PM
Great Now I have Drool on my keyboard
Posted 23 July 2006 - 05:54 PM
that is nice, but I'm in love with Nighthawk Custom's 1911s...
Posted 23 July 2006 - 06:06 PM
That's sure purdy!!
Posted 23 July 2006 - 06:34 PM
Yeah now thats what I would like too do also they now have the mach 2 conversion look at the kimber web site. I was planning on the base model,but not now... internet hated external extractor?? whats that never heard of it can you give me the info.
I have the black Kimber 1911 TLE/RL similar to the one above. Mine has the internet hated external extractor. It's my go to handgun and shoots squirrels offs rock with a .22 cal conversion easily, just ask Joel
Posted 28 July 2006 - 05:57 PM
Yep I love my Kimber Custom 45 ACP, Best shootin pistola I have , reliable feeds like a dream,Great Gun! By the way I Have a Ciner 22 conversion for the Kimber an it also works great,and shooting the 22's get's me a lot more practice at very little cost compared to the 45 ammo!
Posted 28 July 2006 - 06:44 PM
Unless it's a more accurate and more reliable wheelgun!
Posted 29 July 2006 - 11:12 AM
Mark and his auto loaders and he's also a mean shot with that 22lr 1911.... Took a squirrels scalp off with it
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JOIN US APRIL 7-13, 2013.Catcalls, sexist comments, flashing, groping, stalking, and assault impact all women and many men, especially in the LGBQT community. IT MUST END.Join [2] tens of thousands of people worldwide as we collectively go to the streets and use sidewalk chalk, posters, fliers, street theater, rallies, and marches to reclaim public spaces and demand an end to gender-based street harassment!
Links:[1] http://www.meetusonthestreet.org/
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5 Overused Twist Endings It's Time For Movies to Retire
#2. It Turns Out You Can Change the Future
Summit Entertainment
Seen In:
Source Code, Terminator 2, Deja Vu, The Lake House, Minority Report
The first Terminator film ends with Sarah Connor defeating the time-traveling robot, but also realizing that everything she did played into the future as Kyle told her it played out -- she was (as a result of the events of the film) now pregnant with the future leader of the human resistance and the nuclear war was still coming. In fact, all the Terminator's mission had proven was that the past could not be changed. Then in Terminator 2 they decided, no, fuck it, you can actually change it after all. Everything is fine, guys!
Carolco Pictures
"All good, guys. Future's saved. Definitely no reason for me to travel back in another sequel, thanks."
In Source Code, Jake Gyllenhaal gets time machined back to the past in order to figure out who blew up a passenger train earlier that morning. In the mandatory scene where his handlers explain how time travel works in this particular universe, they make it clear that what they're doing isn't really sending him back in time, but allowing him to inhabit the memories of a dude who died in the explosion -- it's really just a recording he can interact with.
Through the course of what is essentially a really morbid version of Groundhog Day, Gyllenhaal falls in love with the girlfriend of the dead man that he's wearing as a skin suit. So of course he wants to save her life, despite it being repeatedly made clear to him that it's literally impossible to change anything in the real world from his sightseeing tour of the past. Gyllenhaal's professional opinion to the contrary is "You're wrong," and then he proves it by finally saving everyone on the train by trying really, really hard.
Summit Entertainment
His trying really, really hard for butt stuff later that night would prove less successful.
That identical plot plays out in the Denzel Washington film Deja Vu (the title would be cruelly ironic if it hadn't beaten Source Code to the theaters by a few years). This time it's a ferry boat explosion, and Washington is sent back four days into the past in a way that (again) only lets him observe, once again for the purpose of catching the terrorist. And (again!) despite his superior's warnings that the technology doesn't allow them to change the past in any way, he saves the boat and gets the girl.
Why It Ruins Stories:
These are sci-fi movies, and while other genres can get away with being a little vague with the rules of the universe (how do Smurfs breed, anyway?), science fiction is all about establishing rules and playing by them. In The Matrix, there is a specific reason within the rules of that universe that Neo is suddenly able to fly -- it's all just a computer program, and the film is about him learning to master it. That's playing by the rules.
Warner Bros.
A deleted scene had the Agents calling him a racial slur, then breaking their controllers.
But in these time-travel films, they get their surprise ending by ignoring that, usually with no explanation whatsoever. The rules of their universe are just overcome by the power of ... love, or some shit.
In Deja Vu, Denzel Washington ignores some eggheads' eggheady explanation about how he can't change the past and does it anyway, while vocally deriding the scientists' complex language as bullshit because he couldn't understand it. Same with Source Code -- Gyllenhaal just ... does it somehow. There is no explanation. Because people who are pissed off by book learnin' are totally the target audience for sci-fi. It's actually worse in the Terminator franchise, since it creates a ridiculous loop where preventing the nuclear war also prevents the guy from going back to prevent the nuclear war.
Touchstone Pictures
"Screw nuclear war, just find me a way to travel back to stop myself from doing John Q."
But logical inconsistencies aside, it also undermines what, for most of the film, you thought was the central theme: that you must come to terms with the past, because you can't change it.
Remember, the plots of these movies are always ostensibly about fixing something else. The Terminator wasn't about going back to change the past, it was about going back to stop someone else (well, a killer robot) from changing it. Gyllenhaal's and Washington's characters weren't there to stop the bombing, they were there to find out who did it. When they tack on the happy ending, what's the moral then? That we really can un-kill our loved ones if we want it badly enough? That even the unshakeable laws of the universe can yield to the awesome power of the human spirit? That no tragedy can stand up in the face of poor test screenings?
#1. The Twist Just for the Hell of It
Seen In:
The Saw series, anything written by M. Night Shyamalan, and virtually every thriller for the past decade
In The Sixth Sense, it turned out that Bruce Willis was dead the whole time. There's a spoiler in the previous sentence, in case you've been living on the moons of Saturn since 1998. But with this one incredible bombshell, M. Night Shyamalan did for twists what Avatar did for 3D -- every movie needs to have it now.
Hell, we were just talking about the twist ending to a Batman movie. Yes, if ever there was a franchise that lent itself to mind-bending plot twists, it's the one about a guy in a hat with bat ears who walks the street at night punching murderous clowns. The Saw movies rely wholly on the fact that there is some massive twist at the end of all of them (they even had their own "this is the twist" theme music). And of course, Shyamalan has been trying to recreate his most famous twist ending in every movie he's done since, to the point where it's become a running joke.
"The twist is that I was a hack all along."
Why It Ruins Stories:
And that is exactly the problem. Of course, a twist ending only works if it's unexpected, and it's only unexpected when most movies aren't doing it. When seemingly 80 percent of your genre has a twist ending, or when a TV series is based entirely on twists, the audience just winds up sitting back waiting for the real story to reveal itself. The movies can't foreshadow them anymore, because the moment something weird happens, the audience is like "Welp, I wonder if this scene is only taking place inside the main character's imagination? Or if the villain is actually a split-personality version of the hero?"
New Line Cinema
"Actually, the real villain is whoever greenlit this."
Speaking of which, can you imagine that Fight Club would have been as good if it had been made in the age where every other thriller had to have a split-personality twist? We've now seen it in Black Swan, The Machinist, Secret Window (despite the fact that Stephen King wrote the story it was based on back when that twist was original), Hide and Seek, The Uninvited, Perfect Stranger, Identity, The Number 23 ... and probably more we can't remember.
20th Century Fox
"I am Jack's rehashed third act."
It's almost like they've forgotten that there are all sorts of ways to surprise the viewers and keep them guessing without resorting to a cheap "Everything we told you up until now was bullshit!" trick. Hell, at this point, not yanking the rug out from under us at the end would be the most mind-blowing twist of all.
S Peter Davis is the author of the book Occam's Nightmare, a history of conspiracy theories and strange ideas, available here.
For more things we wish Hollywood would stop doing, check out 5 Movies Hollywood Needs to Stop Making Now and 5 Reasons Hollywood Needs to Stop Making Prequels.
If you're pressed for time and just looking for a quick fix, then check out 5 Weirdly Specific Scenes You See In Every Marvel Movie.
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Jeff Scheel, SVP Corporate Strategy and Amit Jasuja, SVP Product Development presents Symantec's strategy and direction for enterprise security solutions.
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27 Feb 2012 1:27 AM #11
Hi Sven,
I still reproduce the bug with the patch.
I applied it on the jar "gxt-2.2.4-gwt22.jar"
should I try it on the version 2.2.5 ?
27 Feb 2012 2:05 AM #12
The patch is against the latest SVN version. Please try it against that one.
1 Nov 2012 6:45 PM #13
I have same issues on gxt-2.2.6.
Should I change both of two lines?
// if row is NOT rendered and is visible, render it if (!isRowRendered(i,fixed)) { List<ModelData> list = new ArrayList<ModelData>(); list.add(store.getAt(i)); if(fixed) ★widgetListFixed.add(i, new ArrayList<Widget>()); else ★widgetListMain.add(i, new ArrayList<Widget>()); String html = doRender(cs, list, i, cc, stripe, true, fixed); getRow(i, fixed).setInnerHTML(html); renderWidgets(i, i); }


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The 11 Most Unintentionally Hilarious Religious Paintings
#5. Broken Dolls by Stephen Sawyer
The Intended Message:
"The anguish that God experiences while His children are abused is the cumulative experience of all the abused children since the beginning of time compressed into one eternal moment."
The Actual Message:
Here's a lesson for all of you aspiring artists out there: Facial expressions are really hard to get right, but are also really important. They're literally the difference between "overcome with anguish over the suffering of the innocent" and "guy in Head & Shoulders shampoo commercial."
Or if you raise the water to his shoulders, it looks like he's coming out of a pool.
According to the artist, those are the dolls of all the abused children in human history, which is honestly the saddest thing we've ever heard, but Jesus is doing a really bad job of trying to look upset. At most he seems annoyed that someone has to pick them up. This isn't Sawyer's only "Jesus chilling at the beach" painting, either:
Art for God
This probably takes place right after the heroin one.
You may have noticed that several of the paintings we've shown you are by this same artist. We promise this is the last.
#4. How to Recognize Jesus by Consuelo Udave
The Intended Meaning:
Don't be fooled by false messiahs (we think).
The Actual Meaning:
There is none. We will pay you $50* if you can tell us what's going on here. We guess only real Christians can spot "the real Jesus" in this picture, because we sure can't, or even figure out why he'd be on a game show in the first place. The guy without facial hair is obviously out, but what about the other two? Is the fact that he's wearing a red shirt supposed to disqualify the one in the middle? Or is there a deeper message here we're missing? Wouldn't the real Jesus be the one who refused to appear on a game show?
*No, we won't.
#3. Via Dolorosa by Jon McNaughton
The Intended Meaning:
"The man in the middle represents the modern Christian ... a man who must decide whether or not he will stand up for his Christian beliefs. Many are shouting out to tell him what to do. He raises his hand to say, 'Be silent, for I know that Jesus is the Christ!'"
"Thomas Jefferson, Osama bin Laden -- pay attention, you clowns!"
The Actual Meaning:
This is how the Bill & Ted reboot would end if it were directed by Kirk Cameron. Jesus is surrounded by a series of important historical figures who have traveled in time just to ... wait, is that Roy Orbison there between Henry VIII, Vlad the Impaler and fist-pump Hitler?
The new formation of the Traveling Wilburys?
The author of this painting is Jon McNaughton, who says that "Today, Christians are the most persecuted people in the entire world," and in his painting portrays the symbolic modern Christian as a white male in a business suit. You will be shocked to learn that his second favorite subject after Jesus is conservative politics, which leads us to the following gem ...
#2. One Nation Under God by Jon McNaughton
The Intended Meaning:
Jesus was the inspiration for the Constitution.
The Actual Meaning:
Hey, remember when Jesus was president? Jon McNaughton apparently does. There's a handy interactive viewer in his website to help you identify each person in the painting and what they're meant to represent. In the Jesus-hating, socialism-loving corner in the lower right, for example, we can see College Professor holding Origin of Species, Liberal News Reporter, Satan (literally) and Unmarried Pregnant Woman.
And a dude who is about to make it rain.
President Obama is conspicuously absent, but only because the Constitution document is already depicted in the painting and McNaughton can only paint Obama if he's doing nasty things to it, as seen in his other works.
McNaughton Fine Art
"Dude! Obama! What the hell!"
#1. The Difficult Case by Nathan Greene
The Intended Meaning:
"The artist celebrates the intensity of the physician's quest under the guidance of the great healer."
The Actual Meaning:
Honestly, that doesn't look like guidance, that looks like "Ugh, not this guy again." The doctor doesn't look too thrilled to have some overbearing guy messing with his books when he's trying to concentrate. He probably wishes he was back teaching school in Boy Meets World.
Judging by the artist's other paintings, Jesus ended up sticking around the hospital for a while, interfering with the day-to-day activities of the doctors.
Nathan Greene
"This whole 'brain surgery' thing is a lot easier when someone isn't touching my shoulder."
Nathan Greene
"No, I got -- seriously, Jesus, if you could just wait outside while I work ..."
For more ridiculous pieces of "art," check out 6 Best Shenanigans Passed Off As Art and 15 Grossly Misleading Movie Posters.
If you're pressed for time and just looking for a quick fix, then check out The Country Starlet Who Stole Her Big Hit Off a Crack Addict.


text:
Checking For Residual
This article has been archived.
Please use for reference only.
Please use for reference only.
Penn Home Infusion Team
University of Pennsylvania Health System
Last Modified: November 1, 2001
Before starting your feeding, your doctor may want you to check for fluid that is left in the stomach from the last feeding. This is called residual fluid. You should check the residual before each feeding.
You will need the following supplies:
- (1) 60 cc syringe
- (1) Clean cup
Procedure for Checking Residual
- Wash your hands. (See Handwashing section for more information)
- Clamp the tube and open the cap.
- Attach a syringe to the feeding tube
- Unclamp the feeding tube.
- Pull back on the syringe. When you do this you may see some of the stomach fluid in the syringe.
- Pull back gently until you don't get any more fluid from the stomach.
- If a full syringe comes back, clamp the tube and empty the syringe into a clean cup. Keep repeating until no more fluid is pulled back into the syringe.
- Draw the fluid from the cup back into the syringe, and gently push the fluid back through the tube into the stomach. This is very important because the stomach fluid has important fluids in it that your body needs.
- Flush your tube with warm tap water after checking the residual. (See the Flushing Your Tube section for more information.)
- If you have collected more than _____ of stomach fluid, DO NOT start your feeding. Wait one hour, and check the residual again.
- If you still have more than _____ of stomach fluid, DO NOT give your feeding and call your physician.


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Americans may be too ill-informed to vote intelligently
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kitty wrote on Sep 29, 2012 11:18 AM:
So anyone not voting for Romney Ryan is uninformed....not.....have you read the ryan budget.....do you know that he reduces the deficiit in 50 years per the cbo.......What are Romneys real policies.....for every opnion he has had on every major issue he has had the exact opposite opinion on said issue......what does he really believe.....he offshores his money to avoid taxes as well as bain offshoring jobs from the american people......he has insulted 47% of the electorate......the disabled the elderly veterans the working poor the unemployed saying they don't take responsibility for themselves........when he went to three of our allies countries this summer he insulted people in every country.......we are still recovering from the financial meltdown he inherited..........more jobs have been created in four years under obama than eight years under bush.....obama leads in all the polls ....which leads you to the conclusion that the electorate is uninformed.......maybe you are in fact the one that is uninformed..... "
CITIZEN 3 wrote on Sep 29, 2012 12:34 PM:
FREEPRESS wrote on Sep 29, 2012 6:59 PM:
kitty wrote on Sep 29, 2012 7:15 PM:
CITIZEN 3 wrote on Sep 29, 2012 7:32 PM:
CITIZEN 3 wrote on Sep 30, 2012 8:40 AM:
So, save the lecturing and the Bush blame game for your Obama loving liberal buddies and leave the real economic problem solving to the proven job creators because it's game over for your boy. We're taking back our country from the scum who've been running it into the ground because leaders lead, and not in absentia like Obama. This country is made up of three types of people "Kitty"……Those who make things happen, those who watch things happen and those who wonder what the heck happened. We mistakenly made Obama our president, we watched how he didn't make things happen, and now we're finished wondering what the heck happened!! "
kitty wrote on Sep 30, 2012 9:34 AM:
kitty wrote on Sep 30, 2012 10:06 AM:
Mike wrote on Sep 30, 2012 1:20 PM:
CITIZEN 3 wrote on Sep 30, 2012 2:54 PM:
kitty wrote on Sep 30, 2012 8:00 PM:
CITIZEN 3 wrote on Oct 1, 2012 8:44 AM:
Of the twenty new or higher taxes in Obamacare, below are the five worst that will be foisted upon Americans for the first time on January 1, 2013.
The Obamacare Medical Device Tax – a $20 billion tax increase: Medical device manufacturers employ 409,000 people in 12,000 plants across the country. Obamacare imposes a new 2.3 percent excise tax on gross sales – even if the company does not earn a profit in a given year. In addition to killing small business jobs and impacting research and development budgets, this will increase the cost of your health care – making everything from pacemakers to prosthetics more expensive.
The Obamacare "Special Needs Kids Tax" – a $13 billion tax increase: The 30-35 million Americans who use a Flexible Spending Account (FSA) at work to pay for their family's basic medical needs will face a new government cap of $2,500 (currently the accounts are unlimited under federal law, though employers are allowed to set a cap).
There is one group of FSA owners for whom this new cap will be particularly cruel and onerous: parents of special needs children. There are several million families with special needs children in the United States, and many of them use FSAs to pay for special needs education. Tuition rates at one leading school that teaches special needs children in Washington, D.C. (National Child Research Center) can easily exceed $14,000 per year. Under tax rules, FSA dollars can be used to pay for this type of special needs education. This Obamacare tax provision will limit the options available to these families.
The Obamacare Surtax on Investment Income – a $123 billion tax increase: This is a new, 3.8 percentage point surtax on investment income earned in households making at least $250,000 ($200,000 single)
The Obamacare "Haircut" for Medical Itemized Deductions – a $15.2 billion tax increase: Currently, those Americans facing high medical expenses are allowed a deduction to the extent that those expenses exceed 7.5 percent of adjusted gross income (AGI). This tax increase imposes a threshold of 10 percent of AGI. By limiting this deduction, Obamacare widens the net of taxable income for the sickest Americans. This tax provision will most harm near retirees and those with modest incomes but high medical bills.
The Obamacare Medicare Payroll Tax Hike -- an $86.8 billion tax increase: The Medicare payroll tax is currently 2.9 percent on all wages and self-employment profits. Under this tax hike, wages and profits exceeding $200,000 ($250,000 in the case of married couples) will face a 3.8 percent rate instead. This is a direct marginal income tax hike on small business owners, who are liable for self-employment tax in most cases. "
KITTY wrote on Oct 1, 2012 10:55 AM:
KITTY wrote on Oct 1, 2012 11:51 AM:
KITTY wrote on Oct 1, 2012 11:56 AM:
KITTY wrote on Oct 1, 2012 12:43 PM:
CITIZEN 3 wrote on Oct 1, 2012 1:45 PM:
Sourced at:
http://www.atr.org/five-worst-obamacare-taxes-coming-a7217#ixzz27teXQEp4 "
kitty wrote on Oct 1, 2012 6:27 PM:
kitty wrote on Oct 1, 2012 6:40 PM:
CITIZEN 3 wrote on Oct 1, 2012 7:58 PM:
mike stallone wrote on Oct 1, 2012 8:23 PM:
CITIZEN 3 wrote on Oct 2, 2012 10:20 AM:
kitty wrote on Oct 2, 2012 1:25 PM:
CITIZEN 3 wrote on Oct 2, 2012 4:13 PM:
al.cap wrote on Oct 2, 2012 5:21 PM:
imho, anyone who claims it's a hardship to get an id shouldn't be voting anyway.
on a related note, i'm taking as many people as i can to ohio and pa to vote romney in as many precincts as we can hit. why not? "
CITIZEN 3 wrote on Oct 2, 2012 6:05 PM:
Pennsylvania Commonwealth Court Judge Robert Simpson issued a preliminary injunction today, but his decision may not be the final word on this case. It can be appealed back to the state Supreme Court, which is next scheduled to meet Oct. 15 in Pittsburgh and I predict that it will be won on appeal especially since he reversed his original decision.
So, I would caution all of you Obama loving liberals, and you know who you are, not go tossing any celebratory bouquets of roses in the air, or taking any victory laps just yet, there are more battles to be fought and wars to be won! "
conservative1 wrote on Oct 2, 2012 9:13 PM:
@Kitty. You're informed, you're just a socialist, it's your right. As far as insulting 47%. All he did was state the fact they will never vote for him no matter what he says. They either are straight up socialists or are those lazy minorities in the projects living off me. Fact
You won't vote for Romney even after Obama added all that debt, after fast and furious, after LYING about the recent terrorist attacks ( blaming it on a video) leaving our borders open for illegals and TERRORISTS to walk right into my country. Printing money like it was free( I'd think you'd understand that's bad). You're still going to vote for him after all that ,so you're a 47%er.
Blacks will vote at 90%+ for Obama because hi is black, without knowing anything of his policies so this article is correct.
FYI Romney paid way more than Obama in taxes and charities. Because he is successful! "
CITIZEN 3 wrote on Oct 3, 2012 6:38 AM:
Rmoney is not the answer wrote on Oct 3, 2012 8:46 AM:
al.cap wrote on Oct 3, 2012 12:46 PM:
money asks us to view this video and give the o the benefit of the doubt. next thing he writes is a veiled reference to comments taken out of context from a mitt video.
wright is more than a friend, he's a mentor. watch some of his "preaching", and then listen to obama.
i do agree that we can, and should, help the less fortunate. the aca is not the way. "
CITIZEN 3 wrote on Oct 3, 2012 1:37 PM:
CITIZEN 3 wrote on Oct 3, 2012 2:27 PM:
Then again, we here at the rest home have a lot of time our our hands and just love messin with you young whippersnappers. Gotta go now, it's time for a nap and then we play What's my Line!! "
Bob wrote on Oct 3, 2012 3:53 PM:
JC wrote on Oct 4, 2012 1:11 PM:
Chris wrote on Oct 6, 2012 1:05 PM:
between the lines wrote on Oct 7, 2012 10:43 AM:
My new favorite billboard
If you voted for Obama in 2008 to prove you're not a racist, vote against him in 2012 to prove you're not an idiot. Ha "
between the lines wrote on Oct 7, 2012 10:44 AM:
Post a reader commentWe encourage your feedback and dialog.
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- Campaigns becoming ever more sickening
- It's up to middle class to defeat moneyed interests
- McMahon, Murphy not addressing what matters to voters
- Americans may be too ill-informed to vote intelligently
- U.S. Supreme Court nominating power a significant issue
- Too many freeloaders inhabit U.S. Capitol
- No lawmaker with record like Murphy's should be elected
- Enough of the Mudslinging by Senate candidate McMahon
- Before blaming Bush, recall who held Congress in 2007-08
- Vouchers an unfair solution to fiscal woes of Medicare


text:
5 'Eccentric' Historical Figures Who Were Clearly Just Crazy
Ah, the nobility -- our betters. We've seen Downton Abbey, we know how they roll: all genteel, with their cucumber sandwiches and pantaloons, droppin' honorifics like a motherfucker. Not all of them are as subdued and proper as you'd think, though. There's a fine line between "eccentric duke" and "poop-smeared psychopath," and the following folks skipped gaily across that line, only occasionally checking in to pop a squat on the sanity side before skittering back into full-blown madness.
#5. The Prince of Silence Would've Very Much Liked to Be Invisible
Image Source/Photodisc/Getty Images
His proper name was William John Cavendish-Scott-Bentinck (1800-1879) of Nottinghamshire, England. His proper title was Marquess of Titchfield, fifth Duke of Portland, but you could call him the Prince of Silence. Or Bill. Or, preferably, nothing at all. Although rumored to have a disfiguring skin disease or deformity, it seems more likely that Bentinck just hated being near people, or was perhaps winning the most epic game of hide and seek ever played.
Jupiterimages/Photos.com/Getty Images
As evidenced by his formal portrait.
The only person who was regularly allowed to see him was his valet. Bentinck wouldn't even permit a doctor to examine him; shouting from behind a locked door, the doctor would ask the valet questions, and the valet would call back an answer to the best of his ability. Amazingly, this technique seemed to have worked, since Bentinck lived to the ripe old age of 79 ... for all anybody ever knew, at least.
In the event that servants did encounter Bentinck, they were instructed never to acknowledge his existence and to walk by him "as if he were a tree." Bentinck himself would make that easier by retreating to the wall and pretending to be a statue. Those who failed to ignore him or play along with his statue game were instantly dismissed.
Wiki Commons
Which explains why this was titled "Photo of Stacked Chairs."
The Prince of Silence might have had an easier time avoiding people if he hadn't been constantly adding to his home, Walbeck Abbey. He spent lavish amounts of money and employed thousands of workmen at a time. One project was a magnificent riding house of immense size, which was stocked with over a hundred horses and lit by 4,000 gas jets. When roller skating became popular, he had a rink built, expressly stating that his employees should enjoy it as often as possible. Aw, he just wanted people to be happy!
... because happy people are content; they do not come looking for the Prince of Silence.
slavazyryanov/iStock/Getty Images
We're not saying this guy was a ninja, just that he was totally qualified.
His main construction efforts were focused underground, though. Fifteen miles of tunnels were constructed, some large enough to drive a carriage through. There was also an underground library, a billiards room, and an observatory fitted with a glass roof. A vast subterranean ballroom was built, complete with a hydraulic lift capable of carrying 20 people. Why a man who shunned humanity like a Milford Academy alumnus would create a room specifically for parties, nobody knows. The labyrinthine tunnels connected to the house and grounds above via trapdoors so Bentinck could wander without risk of encountering anyone. To relay orders, an elaborate system of mailboxes was used. Also: Every room and tunnel was painted bright pink.
All right, we're calling it: Bentinck was Prince's great-great-great-grandpa.
#4. Mango, King of the Pickles, Was the Best Drinking Buddy You Never Had
Jupiterimages/Photos.com/Getty Images
John Mytton of Shropshire, England (1796-1834), was known alternately as Mad Jack or Mango, King of the Pickles (you know you're seriously nutbar when "Mad [Your Name]" is the least crazy thing people call you). Above all else, Mad Jack hated to be bored. He must have found dinner parties terribly dull, because he was forever trying to spice them up. After inviting a parson and a doctor over for dinner, he hid along their route dressed as a highwayman. Jumping out of a bush, he fired pistols over their heads while roaring "Stand and deliver!" They turned their horses and ran, with Mad Jack chasing behind them. They were not terribly amused by his Victorian take on Punk'd.
At another dinner party full of guests who were in all likelihood expecting the only excitement that evening to be spice-based, Mad Jack rode a bear into his dining room. The bear calmly went along with this until Jack dug a spur into its side, at which point it bit him on the leg. There's no record of how they got the bear, which was probably a bit pissed off at that point, out of the house. When "wrestling the angry bear out of your home" doesn't even make the anecdote, you have thrown a good dinner party.
Jupiterimages/Photos.com/Getty Images
We're gonna guess it was hauled away unconscious after being challenged by Mad Jack to a drinking contest.
He also once won a bet in which he rode his horse into a prominent local hotel, went straight up their grand staircase, and then, while he was still riding it, had it jump down off the balcony, leap over the dining patrons, and exit through a window. One of the few jobs Mad Jack ever held happened after he ran for Parliament in 1819. Deciding it was easier than campaigning, he simply paid voters a 10-pound note for their vote. Obviously, he won. Upon attending his first session at Westminster, he lasted 30 minutes before becoming so bored that he left, never again to return.
Thomas Northcut/Photodisc/Getty Images
Tragically, no one would invent a mic for him to drop for another 58 years.
He did accomplish one significant medical breakthrough: a truly unique cure for hiccups. Late one evening, while so obviously drunk that we shouldn't even have to state it, Jack had a bad case of the hiccups. None of the conventional cures got rid of them, so he simply lit his shirt on fire. After a servant beat out the flames, Jack exclaimed, "The hiccup is gone, by God!" There is no evidence that this method does not work 100 percent of the time, and we heartily encourage you to try it at home.**By reading this text, you are absolving Cracked of responsibility in all nipple-based lawsuits from this point until the end of time.
George Doyle/Stockbyte/Getty Images
That said, drop by tomorrow for "7 Amazing Nipple Injuries You Can Sustain Right Now."
Mad Jack died at 38, deeply in debt but incredibly popular. It is said that 14,000 people turned out for his 15-mile funeral procession, probably half expecting him to spring out of his coffin and start firing T-shirts into the crowd.
#3. Sir Sitwell Refused to Believe the Middle Ages Were Over
Photos.com/Photos.com/Getty Images
Sir George Sitwell, fourth Baronet of Renishaw, Derbyshire, England (1860-1943), wasn't a pleasant man. He believed that, in order to keep wealth, one must not have friends. For example, a notice written by Sitwell and hung at his home of Renishaw Manor read: "I must ask anyone entering the house never to contradict me in any way, as it interferes with the functioning of the gastric juices and prevents my sleeping at night."
Via The Esoteric Curiosa
A cocky know-it-all making an implied poop joke -- we are all about this guy.
A hypochondriac, Sitwell toted around bags full of medicine, all of which was mislabeled to prevent anyone else from using it. Yes, we're talking "poisoning strangers" levels of crankiness here. Sitwell was also a prolific author, focusing mainly on the Middle Ages. He authored such (largely unpublished) gems as The History of the Fork, Leper's Squints, and Domestic Manners in Sheffield in the Year of 1250. Sitwell believed that they really had their shit together in the Middle Ages, and as such, he based his son's allowance on what an ancestor had given his son during the time of the black plague and tried to pay the tuition at Eton in produce. Neither went over super well.
Sitwell had a true flair for landscaping and decoration: Entire lawns would be raised 3 feet for a season, only for Sitwell to decide to lower them again. Hills were moved, streams were diverted, and centuries-old oak trees were uprooted and replanted according to his whims. His true moment of genius came when he decided to stencil blue Chinese willow patterns on the white cows at Renishaw. The cows did not share his vision.
David De Lossy/Photodisc/Getty Images
"Inappropriate Chinese body art? Leave that shit where it belongs -- on white people."
George was also an inventor. He developed a musical toothbrush, a small revolver for shooting wasps (w-what?), and an "egg" made of smoked meat and rice protected by an inedible synthetic shell. Sort of like an inverted Kinder Surprise, if the surprise was how terrible it was.


text:
Peter Mountain/Bruckheimer Films/Associated Press
Peter Mountain/Bruckheimer Films/Associated Press
LOS ANGELES � Johnny Depp will answer fans� questions about �The Lone Ranger� in a live online session.
Disney announced Thursday that Depp and co-star Armie Hammer will discuss the anticipated adventure film on April 17 after showing 20 minutes of exclusive footage to about 400 fans at a Las Vegas theater.
Director Gore Verbinski and producer Jerry Bruckheimer also will participate in the session, which is to stream live on Yahoo Movies and Livestream.
Fans outside Las Vegas can submit questions for �The Lone Ranger� team through Twitter and watch the film�s trailer online. The extended footage, though, is just for those in Las Vegas.
The promotion coincides with the annual CinemaCon convention, where Disney is expected to offer a similar presentation for theater owners. �The Lone Ranger� releases July 3.


text:
I was wondering how to show that $\tau(n)/\phi(n)\to 0$, as $n\to \infty$. Here $\tau(n)$ denotes the number of positive divisors of n, and $\phi(n)$ is Euler's phi function.
Note that for an odd integer $n>1$, we have $\tau(n)/\varphi(n)<1$ (first note it for an odd prime-power, then by multiplicativity to all odd $n$).
For each $\epsilon>0$, consider the set $S_\epsilon$ of those odd $n$'s with $\tau(n)/\varphi(n)>\epsilon$. Write $n=p_1^{\alpha_1}\dots p_k^{\alpha_k}$, where $p_1, \dots, p_k$ are odd. Then
$$\frac{\alpha_1+1}{p_1^{\alpha_1}} \dots \frac{\alpha_1+1}{p_1^{\alpha_1}}>\epsilon$$
and since each term of the product is $<1$, each term must itself be $>\epsilon$. Hence, for each $i$,
Clearly there are finitely combinations of $p$ and $\alpha$ which satisfy this. Hence $S_\epsilon$ is finite. Now for a general integer $n=2^mn'$ where $n'$ is odd and with $\tau(n)/\varphi(n)> \epsilon$, note that $\tau(n)/\varphi(n)<2\tau(n')/\varphi(n')$, so there are finitely many choices for $n'$, and $\tau(n)/\varphi(n)<\frac{m+1}{2^m}$ so there are finitely many choices for $m$.
Hence, for every $\epsilon>0$, there are finitely many integers $n$ with $\tau(n)/\varphi(n)>\epsilon$.
Here is a plot of $\tau(n)/\varphi(n)$ for $n<10^5$:
And also, here is a picture of a baby bear
Here's a hint: let $Q(n)$ denote the largest prime power that divides $n$. Then prove:
There is methodology for dealing separately with numerator and denominator, initiated by Ramanujan. The construction of "superior highly composite" numbers gives:
$$ \tau(n) \; \leq \; \; 24 \; \; \left( \frac{n}{315} \right)^{(1/3)} $$
The related argument, with a certain type of optima at the primorials, gives
$$ \phi(n) \geq \frac{2 n^{2/3}}{6^{2/3}},$$
and together we get
$$ \frac{\tau(n)}{\phi(n)} \leq \frac{12 \; \cdot \; 4^{1/3}}{ 35^{1/3} \; \; n^{1/3}} \; = \; \frac{5.823426...}{n^{1/3}} $$
EDIT, Tuesday, 20 December: very little machinery is required to describe how to get very small values of $\phi(n)$ relative to the size of $n,$ then derive useful inequalities from that information. Given some $1 \geq \delta > 0,$ we wish to find the number $N_\delta$ that gives the smallest value of $$ f(n) = \frac{\phi(n)}{n^{1-\delta}}.$$ We see that $f(1) = 1.$ Furthermore, if we have some $n$ that is not divisible by a prime $p,$ then $f(np) = f(n) f(p),$ and we shrink the result if we multiply by $p$ when $f(p) < 1.$ At the same time, if $n$ is already divisible by $p,$ multiplying by $p$ always increases $f,$ so $N_\delta$ will be squarefree in any case. So that is the recipe, $N_\delta$ is the (finite) product of the primes $p$ for which $$ p^{1-\delta} \geq p-1.$$ The derivative of $x^{1-\delta} - x + 1$ is $(1-\delta) x^{-\delta} -1,$ and this is negative for $x \geq 1,$ while the second derivative $-\delta (1-\delta) x^{-1-\delta}$ is also negative there, so at some point $x^{1-\delta} - x + 1$ becomes $0$ and then negative thereafter. As a result, $N_\delta$ is the product of the consecutive primes up to some point. These are called primorials.
Meanwhile the first (largest) $\delta$ that includes a prime $p$ is $$ \delta_p = \frac{\log \left( 1 + \frac{1}{p-1} \right)}{\log p} $$
Taking $\delta = 1/3,$ we get $N_{1/3}=6$ and $1 -\delta = 2/3,$ so we always have $$ \frac{\phi(n)}{n^{2/3}} \geq \frac{\phi(6)}{6^{2/3}} = \frac{2}{6^{2/3}} $$


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I am a little bit disappointed about the anonymous downvotes. Any guy might do that without too much trouble and effort, however answering a question means help for others and return the favour for answers you get.
Anyway I responded to an initial question of a guy, my answer solved the problem that he had in the stack trace, then edited the question and someone downvoted me.
It is because I added a comment like this :
"would be nice to appreciate others effort :) – 8 hours ago "
For questions that I put others asked me to vote for their effort
"has this answered your question or is there more I can do to have you check the green checkmark?"
I don't find it fair to receive downvotes when your answer helped the person who asked...
What do you think?
TO be clear:
I agree with downvotes.... but i would like to learn from mistakes ! Just to understand when i was wrong and why ,so i can correct myself !
So downvotes with a small comment would be nice to have!


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29 Sep 2007 2:31 AM #1
Is there any way to keep scroll position of Grid on load
I've read the previous thread "Grid Loses Selection and Scroll Position On Data Store Load" and tried the way to restore scroll position after ds.load. It works, but "However there is still a visible twitch in the grid as it scrolls to the top and then back to the restored position.", I also tried :Code:
grid = new Ext.grid.Grid('guests', { ds: ds, cm: colModel, view: new Ext.grid.GridView({ focusRow: Ext.emptyFn, ensureVisible: Ext.emptyFn }) });
4 Oct 2007 10:26 AM #2
It's a bit of a hack, but if you create your grid as shown below, the grid scroll position will stay where it is when the data store is reloaded. The selection remains the same as well. The onLoad() function of the grid calls scrollToTop(). By eliminating scrollToTop(), the grid no longer moves when it is reloaded. The only drawback is that you can no longer call scrollToTop() on the grid.
new Ext.grid.Grid('parent', { ... view: new Ext.grid.GridView({ scrollToTop: Ext.emptyFn }) });
7 Oct 2007 7:37 PM #3
scrollToTop: Ext.emptyFn works!
Thank you, wck555, It just works as you said. Though I have to forget scrollToTop, but I got a grid without blinking
7 Oct 2007 9:32 PM #4
An alternative would be user Ext.override() to add a new method to the gridView that implements a copy of the scrollToTop() method. Then, override the built-in scrollToTop() method pointing it at the emptyFn() function, as mentioned above.
Ext.override(Ext.grid.GridView, { scrollTop : function() { this.scroller.dom.scrollTop = 0; this.scroller.dom.scrollLeft = 0; }, scrollToTop : Ext.emptyFn });
Yet another alternative is to use the override mentioned in the post above, and then simply access the gridView's scroller and call it's built-in scrollTo() method. Assuming "grid" is a variable holding a reference to your grid, you can do:
grid.getView().scroller.scrollTo('top', 0);
grid.getView().scroller.scrollTo('top', 0, true);
grid.getView().scroller.scrollTo('top', 0, { easing: 'bounceOut' });Jeff Howden
Ext JS - Support Team Volunteer
Any and all code samples that are authored by me and posted on the Ext forums or website are hereby released into the public domain and I release anyone or entity of liability by using said code samples unless explicitly stated otherwise.
Opinions are mine and not necessarily endorsed by Ext, LLC. Please do not contact me directly for assistance unless requested by me.
18 Jan 2008 12:45 AM #5
20 Jul 2009 4:49 PM #6
I realize this thread is old, but I found my answer here and thought I'd add my solution for the next person that hits it...
I came up with a less destructive version that I am using with 3.0:
Ext.override(Ext.grid.GridView, { holdPosition: false, onLoad : function(){ if (!this.holdPosition) this.scrollToTop(); this.holdPosition = false } });
grid.getView().holdPosition = true grid.getStore().reload()
23 Sep 2009 10:36 AM #7
18 Mar 2010 10:43 PM #8
3 Aug 2011 3:43 PM #9
Thanks Chris_S. Neat override solution.
4 Aug 2011 10:56 PM #10
Stop Scrolling From Top
Can anybody send me the complete code of this problem.


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The enormous Batman XE suit revealed in Arkham Origins' DLC overview videoWritten by: / / No Comments
Starting April 22nd across digital platforms on PlayStation 3, Xbox 360 and PC, owners of Batman: Arkham Origins will be able to pick up the game's story-based downloadable content, 'Cold, Cold Heart,' where we'll be able to discover the origin story of Mr. Freeze, Batman's icebound and villainous arch-rival, while visiting a variety of locations in Gotham City, including Wayne Manor.
What equipment will we have to take on this new mission?
In a brand new video we get to see the enormous Batman XE suit which comes standard with new abilities and tools to take advantage of (and overcome) the vast stores of ice we'll encounter throughout the DLC.
New gadgets (like Thermal Gloves and Thermocharged Batarangs) and the 'Batman Extreme Environment (XE)' suit will be available to use, no doubt to deal with the decidedly chilled environments the Dark Knight will need to traverse in the DLC that Warner says adds "several hours of all-new content."
Watch below as members of the Warner Montreal team discuss these new gadgets and abilities, with plenty of gameplay footage to give you a better idea of what you can expect in the new content:
Batman: Arkham Origins – 'Cold, Cold Heart' Gameplay Overview
Are you still playing Batman: Arkham Origins and the game's multiplayer? Will this new DLC bring you back if you've long since put the disc away?
Tags: batmanarkhamorigins, trailer, warnerbrosinteractive, warnermontreal


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Agriculture & Food
Nothing is more basic to human well-being than having enough nutritious food to eat. Yet one in every eight people in the world — 842 million — are trapped in a cycle of hunger and poverty.
The reality is that most of the world doesn't have the benefit of picking up food from the corner store — they grow it themselves. Hunger is a crisis when disaster ruins the harvest. It is a cycle when families cannot grow or buy enough to lead healthy, productive lives, and when the effects of malnutrition are passed on to the next generation.
When food shortages occur due to drought and conflict, Mercy Corps helps prevent hunger and treat malnutrition in the most vulnerable — children, pregnant women, the elderly and the displaced. We distribute vouchers, cash or emergency rations, working with local suppliers to speed delivery, save money and boost local economies.
In addition to emergency responses, we focus on long-term solutions that build future food security.
Mercy Corps helps farmers manage their land, increase their harvests and diversify crops to produce a larger, more nutritious, and stable food supply. By teaching nutrition and hygiene, we ensure families can utilize their resources to boost their health. And we connect farmers with new markets and introduce more efficient methods of tending productive livestock and processing and storing crops to increase incomes for years to come.
All stories about Agriculture & Food
Timor-Leste: Small disasters with no voice are important too
In Timor-Leste (East Timor), this year's weather has caused more serious problems than ever encountered in living memory and beyond. The dry season was meant to start last March.
Indonesia: Chocolate starts out tasting like vanilla yoghurt — who knew?
Whenever I travel, I'm always sure to pack an emergency supply of chocolate. But until yesterday, when I saw cacao trees for the first time and talked to cacao famers in Indonesia about the help they are getting from Mercy Corps, I'd never really thought about where it comes from.
Ethiopia: A view of water poverty
Afghanistan: Afghan farmers get noticed by NY Times
I'm a big consumer of news, and sometimes I get tired of reading about the same old cadre of high-profile folks: politicians, celebrities, big business types — the "news makers." It's rare to hear about how current events impact normal people; even rarer to hear about the impoverished and voicele
Uganda: Nineteen reasons to come home
Even while she still lived in a displacement camp, Lalam Sande had 19 reminders of where she'd come from.
Tajikistan: Through a Caring Lens
Uganda: Seeing and speaking it all
He may be just 24 years old, but his experience with traumatic events would put him within the same levels of an individual in his late 40s. That's Olanya Morris for you.
Uganda: Comfort and peace reach across generations
Uganda: Joining their efforts and growing together
Ethiopia: Standing her ground and springing back
In many places around the world, drought withers lawns. In Ethiopia, drought withers lives. "When I was young, I was beautiful," says 50-year-old Zesino Mohamed Shiro. "But years of drought and not having enough to eat makes you old."


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Is there a particular type of Anti-Seize compound that is preferred for use on spark plugs? What temperature rating is needed?
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Most people use Copper because it's the most common and cheapest, but beware the cheap/generic stuff that's only good to 600°F or so. I use the Nickel type, not so much for the temperature (2400°F), though that is a bonus, but because there are some metals that you can't use the copper on (Titanium might be one, I'm not 100% but Nickel is fine for it).
As far as temperature rating needed, according to NGK, it will depend on the hot/cold value of the specific plug, but optimal range is 500°C (932°F) and 800°C (1472°F) for the part that extends into the cylinder. The threads are on the water cooled block, so I'd expect them to hover in the 300°F - 600°F range. You can probably get away with Copper, but I'd use Nickel.
The highest heat range. The price difference is only a couple of bucks and you don't do the job often enough to worry about it. If you get one "oxygen sensor safe" you can reuse it throughout your exhaust system on other jobs you may have that requires antisieze compound.


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Right to Work
December 27, 2012
Dear?Editor: I would like to comment on the editorials and comments concerning the state of Michigan passing a Right To Work la....
Today, over HALF of American States have Right to Work Laws. A decade ago, there were not nearly that many. If Right to Work laws are so harmful to workers and wages, then WHY is State after State initiating them??? Your beloved Dumbocrats are in power...WHY havent they stopped it???
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Play Slideshow >>
Custom Truck-Bed Tool Storage
Like many tradespeople, I'd always lusted for a shiny new work truck with utility-bed locking boxes — plus a high-security shop-garage to park it in and a five-digit checking account that could bankroll the whole shebang. But instead I had a middle-aged half-ton pickup, an unfenced driveway, and a budget with about as much fat as a figure skater. So I took what I had and went to work.
I didn't need much: just a truck-bed tool-storage unit that would keep the weather out and my valuables locked up but readily available, their presence hidden from passersby — all with a minimum of disruption to my truck bed's hauling capacity.
The solution I settled on was a set of pullout drawers that deliver reach-and-grab accessibility. I built the plywood drawer case in three separate sections. The two side boxes had to fit around the wheel wells, so I installed them first, pushing them over to their respective sides and scribing them for a snug fit. I designed the center section to interlock with the sides via cleats, so the three sections function as an integral unit.
I assembled the sections with Titebond glue and Kreg pocket-screw joinery, then painted them with a durable alkyd-enamel. I covered the top of the case with diamond-plate sheet aluminum, screwed to the 3/4-inch plywood platform. And I added reinforcing wood strips (glued and screwed) along the top and bottom of the sides; they supply anchorage for my tie-down hooks.
The drawers and lift-out trays have plywood sides and pine ends. I used butt joints, fastened with glue and countersunk screws, followed by several coats of marine spar varnish. To protect the contents from moisture I set the ends a couple of inches in from the handles. I also sealed the top edge of the platform with sponge-foam compression-type weather stripping, which keeps water intrusion to a minimum. Since the front end of the drawer case is boxed shut, there's little danger that water will get into the drawer area when it drains down between the case and the front of the bed.
Everyone asks me the same question about my setup: Do the drawers slide easily? The boxes are heavy when full, no doubt about it. But I installed plastic furniture glides on the bottom back of the big drawers and at the front of their openings, and people are always surprised by how easy they are to operate.
Because the open tailgate supports the extended drawers, I didn't need to install any supporting drawer hardware. I prevent sticking and minimize friction by periodically rubbing the drawer bottoms with beeswax and polishing the sides with car wax.
For security, I added a simple aftermarket Pop & Lock tailgate lock. But the best security feature, in my opinion, is how well the drawers are hidden: A glance into the back of the truck reveals nothing to indicate the presence of valuable tools below deck.
I do have to admit that the whole time I was working on this project, a nagging inner voice kept asking, "Is this really going to be worth the time and trouble?" Once the drawers were finally finished and I'd begun using them every day, though, a new question took over: "Why didn't I do this a long time ago?"
Neal Bahrman is a GC and the owner of HP Construction of Bakersfield, Calif.
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Two are among the last of their kind and one is unlike any that ever existed.
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Superautomatic Espresso Machines and Coffee Makers
Too bleary-eyed to grind, tamp and steam your own espresso shot in the morning? Let a superautomatic espresso machine do it for you, saving you time, effort and clean up! At the push of a button, these espresso machines create consistent coffee and espresso drinks like lattes and cappuccinos.
While the taste of the coffee from these superautomatic espresso machines is similar, the biggest difference is in functionality and programming options. Some are capable of automatic milk frothing and others use a standard steam wand. Some have one-touch profiles for pre-set espresso drinks and others require you to manually enter in your drink selection. Try one, and you too will say, 'Domo Arigato Mister Roboto!'
Learn More about Superautomatic Espresso Machines
Saeco Exprelia One Touch Superautomatic Espresso MachineGet your favorite coffee drinks at the push of a button with the Saeco Exprelia One Touch Superautomatic Espresso Machine. The double boiler provides instant steam and automatic milk frothing function for total bean-to-cup customization. Saeco designed its Exprelia with pre-programmed buttons for cappuccinos, lattes and macchiatos as well as access to automatic cleaning and descaling. All you have to do is sit back and relax then enjoy the frothy goodness your machine will magically create. Learn More$1,899.00
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Saeco Odea Giro Espresso Machine with OptiDose IIThe updated Odea Giro Espresso Machine with OptiDose II from Saeco features improved grinder functionality that automatically adjusts to the kind of beans you're using. Saeco also paid close attention to the sensor issues in its first Odea Giro iteration and now offers a choice of five different grind settings that will produce a richer shot. Saeco kept the updated Odea Giro's operations extremely basic: adjust the amount of ground coffee beans used and the brewed volume you desire, then press the brew button once (or twice for a double shot). A high-clearance steam wand accommodates your frothing pitcher without needing to tip it to fit underneath (as with some older Saeco models). Learn More$800.00
Saeco Royal One Touch Cappuccino Superautomatic Espresso MachineThe upgraded counterpart to the all-time favorite office espresso machine, the Saeco Royal One Touch Cappuccino, brings us the same reliable performance with a new look and one touch access to your favorite drinks. The Saeco Royal One Touch gives you the ability to adjust the amount of coffee you'd like to brew based on aroma, or amount of coffee per drink, temperature, the timing of your brew's pre-infusion, and drink length or water volume. Learn More$1,499.00
Saeco Intelia Superautomatic Espresso MachinePerfect espresso has never been so simple! The Saeco Intelia's bright LED display is easy to operate and you will have a satisfying espresso or Americano at the touch of a button. Select water volume and one of three dosage levels depending on how strong you like your cup. Steam milk effortlessly with the panarello on the original model or enjoy one touch steaming functionality with the cappuccinatore on the stainless steel model. Learn More$999.00
Saeco Intelia One Touch Cappuccino MachinePinch yourself, you're not dreaming. Frothy cappuccinos and featherlight lattes are delivered at the push of a button with Saeco's latest one touch machine. Featuring an ergonomic case style, easy to use interface, and Saeco's integrated cleaning and descaling cycles, this superautomatic couldn't be simpler to operate. As if maintenance couldn't be simpler, this milk carafe is self-cleaning and dishwasher safe. Learn More$1,299.00
Saeco Intuita Superautomatic Espresso MachineBetween laptops, tablets, smartphones and TVs, are there too many screens in your life vying for attention? Recognizing the need for simplicity and convenience in your coffee ritual, Saeco designed the Intuita Superautomatic Espresso Machine. With a sleek satin finish and simple push button interface, the Intuita takes it back to brewing basics. Learn More$599.99
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Saeco Minuto Focus Automatic Espresso Machine & Coffee MakerYou can't help but think of KITT (if you don't get that reference, you didn't watch enough television in the 80's) when you see the Minuto, but there's a reason for that...It manages to be a superautomatic espresso machine and coffee maker, without sacrificing anything for either option. Learn More$899.00
Saeco Exprelia Evo Superautomatic Espresso MachineThe 60's may have lied to us about flying cars and houses on clouds, but this Jetsons-esque espresso machine makes up for all of that! With its automated milk frothing and programmability, the Saeco Exprelia Evo helps you make the perfect beverage every morning. Just hit one of the pre-programmed buttons, which can be customized to meet your specifications, and watch it go to work. It even cleans up after itself (and provides easy access to automatic cleaning and descaling cycles for routine maintenance) - it's like having your very own Rosie! Learn More$1,999.00
Saeco Minuto Class Automatic Espresso Machine & Coffee MakerYou can't help but think of KITT (if you don't get that reference, you didn't watch enough television in the 80's) when you see the Minuto, but there's a reason for that...It manages to be a superautomatic espresso machine and coffee maker, without sacrificing anything for either option. Learn More$999.00
Saeco Xelsis Evo Stainless Steel One Touch Espresso MachineThe Saeco Xelsis Evo is the most feature-full superautomatic espresso on the market. Xelsis Evo features a built-in ceramic grinder, all stainless steel casing, 6 programable user profiles - one for each family or office member and a choice of automatic or manual milk frothing options. Each profile can be programmed for a one-touch espresso, espresso lungo, cappuccino, latte macchiato and caffe latte recipe. Recipes can vary the coffee strength, coffee and milk volume and temperature and amount of foam. Not into programming? Each of these can also be selected on the go. No matter your preference, the outcome is sure to be delicious. Learn More$2,999.00


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The cause of the spill is being investigated. The oil leaked out of the pipeline Saturday into Otter Creek in Tyler County, Sunoco Logistics said. The oil did not reach the Neches River, which is connected to the creek, according to Tyler County Emergency Management Coordinator Dale Freeeman.
By BEN LEFEBVRE
Sunoco Logistics Partners is cleaning up about 550 bbl of oil
that spilled from its pipeline in east Texas, the company said
The oil leaked out of the pipeline Saturday into Otter Creek
in Tyler County, Sunoco Logistics said.
The oil did not reach the Neches River, which is connected to
the creek, Tyler County Emergency Management Coordinator Dale
Freeeman said.
"Containment and cleanup operations are underway," a Sunoco
Logistics spokesman said.
The cause of the spill was being investigated.
The leak occurred about 3.5 miles east of Chester, Texas,
according to reports. Chester is 110 miles northeast of
Dow Jones Newswires
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A searchable database of project activity in the global hydrocarbon processing industry
Engineers and designers are highly skilled individuals. Forcing them to enter design changes using tables, forms and spreadsheets is unproductive and uneconomical, and it increases the likelihood of human error—this is the way that most instrumentation software systems currently work. For too long, software vendors have denied engineers and designers the simple practicality of a graphical visual engineering interface with "drag and drop" capability and inbuilt intelligence, ensuring changes are automatically replicated into all the associated data and databases.
Is 2016 the peak for US gasoline demand?
Too soon to tell
July 2016


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New In Box SAVAGE ARMS,MK2 Series Rimfire Repeater RiflesThe Mark II line lets you have a .22 rifle the way you want it.Matching handsome good looks with target grade rifle accuracy, thisseries offers a wide range of configurations.SPECIFICATIONS:Caliber: 22 LRAction: Bolt ActionMetal Finish: Blue Barrel Length: 19"Sights: Iron Rifle SightsMagazine Capacity: 10rdsMagazine Type: Detachable BoxStock Finish: Walnut Stained WoodLength Of Pull: 12.5 Inches (Youth)Overall Length: 37.75"Average Weight: 5lbsFEATURES: Button-Rifled with Detachable Magazine.
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My question is regarding the delegate control AdditionalPageHead, as we know it allows multple controls to be loaded.
My questions are:
- How to add multiple controls?
- I want that the different controls are activated by different future.
Example: I have first.ascx which is deployed with site scoped feature1 and i have a second.ascx which is deployed with site scope feature2.
Is it possible so that the second.ascx is added to the first.ascx or the other way around?


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In Genesis 23, we learn that Sarah has died and Abraham is looking to acquire a grave for her. He approaches the children of Heth and meets Ephron the Hittite who, initially, offers his land (which includes the Cave of Machpellah) for free, giving the appearance that he is very generous. At this point his name (Gen. 23:10-11), in the Hebrew text, is spelled Ayin-Feh-Resh-Vav-Nun. At verse 14, Ephron names his price, "My lord, hearken unto me: a piece of land worth four hundred silver shekels, what is that between me and you? Bury your dead. J.H. Hertz tells us that Ephron has just suggested an exorbitant amount which, according to the Code of Hammurabi, the annual wages of a working man during that era would be six to eight regular shekels. At verse 16, Abraham pays the price, and the Bible removes the vav from Ephron's name (as if I spelled it "Ephrn" -- you'd be able to pronounce it, but you would assume the letter "o") after he accepts the money. Is that spelling change intentional? If so, what message is being sent?
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The classic Jewish commentator Rashi quoting the Medrash and the Talmud says:
Expanding the answer:
The OP asked "(1) Is that spelling change intentional? (2) If so, what message is being sent?".
The answers are: (1) Yes.
(2) Earlier in the narrative, Ephron promised the cave as a gift (his apparent generosity acknowledged with the full spelling of his name) , verse 11
but in the end took a great deal of money for it (the fact that he did not fulfill his earlier promise acknowledged with the defective spelling).
When the Tanak was first written, it was written without vowels. In the early Middle Ages (ca AD 800), scribes known as the Masoretes added the system of vowel points (niqqud or "diacretic markings") that are used in pointed Hebrew texts since then. Other systems were developed at roughly the same time (as Hebrew became less of a spoken language), but only the Masoretic system is used to any extent today.
Before the use of niqqud, a system of differentiating words came about that marked when a long vowel should be pronounced. This system, known today by the Latin name matres lectionis (i.e. "mothers of reading") uses certain consonants (aleph, he, yod, and waw) to mark where a long vowel would be and thus differentiate between words that otherwise would be spelt the same way. When a word is written using the full niqqud, it is called plene or male. If it is written without the niqqud, it is called haser or defective).
When the masoretes designed the niqqud, they made use of the mater. Aleph marked long a sometimes but kamets alone is more common. He marked e or long a. Waw marked tone-long o (holem-waw) and tone-long u (shurek). Yod marked long i (hirek-yod) and long e (Tcere-yod). However, Hebrew words could still be written without these marks. This is especially true regarding holem-waw (tone-long o) and tcere yod (long i). Both of those niqqud exist in full and defective forms. That is, both holem and holem-waw make the same sound as do tcere and tcere-yod.
As you mentioned, the pointed Hebrew text of Genesis 23:16 uses the full spelling of Ephron first (holem waw) and then the defective spelling (simply holem). The pronunciation is the same, and I would draw no conclusions from it (but them I'm neither Akiva nor Mitchell Dahood).


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How do I prove that dot product of two free vectors ( inner product in 2D and 3D vectors) does not depend on the choice of frames in which their coordinates are defined?
Since I guess it's homework, I'll just give a hint. A change of basis (or 'frame') is a linear mapping, i.e. applying an certain matrix $A$, sending each vector $v \mapsto A.v.$ What properties does $A$ have?
The dot-product is in the first place a bilinear function of two vector variables with the additional property that ${\bf x}\bullet{\bf x}>0$ for ${\bf x}\ne{\bf 0}$. For any basis $({\bf e}_i)_{1\leq i\leq n}$ of your space the dot-product is encoded in a certain symmetric matrix $G:=(g_{ik})_{1\leq i\leq n,1\leq k\leq n}$. This matrix changes with the basis in a characteristic way. When a dot product is given then there are certain distinguished bases, namely the orthonormal ones. For these the matrix $G$ is just the identity matrix, and in the corresponding coordinates the dot-product computes as $(*)\ {\bf x}\bullet{\bf y} =\sum_{i=1}^n x_i y_i$. In particular, if one starts with the "standard space" ${\mathbb R}^n$ then the standard basis is considered orthonormal, whence one has the standard formula $(*)$ there.


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I'll be at Intervention7 this September!
We STILL seem to have a RANDOM ARCHIVE GLITCH where clicking on the next comic will take you to the next comic page, but oddly display a comic from a totally different date. Hitting Refresh sometimes helps.
Comic for Monday 10/29/12
Did I ever say how much I love writing for Sam? Anywho drawing this comic I said to myself "This art would make a sluggite really happy" and inspired me to drop other projects and get an art auction up including the art for today's, Friday's, and a little bit of Thursday's comics! This art should start appearing around noon today (EST). And tomorrow the last of the 12 pieces being auctioned is THIS one!


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Is there a Chiuv to eat fish at all three meals on Shabbos?
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Halachically Speaking Vol. 3 Issue 9 (Avoiding Danger) brings many reasons why fish is eaten on Shabbos (footnote 45) - Some of these were brought in other answers:
Another reason is brought here:
The Gemara (Shabbos 118B), in discussing what Oneg Shabbos (delight in Shabbos) is, says (English from here):
Rabbi Ari Enkin brings this reason (as does Chabad.org):
I heard this reason, but have not found a source for it:
None of this actually answers if we have to eat fish for all 3 meals.
The Kitzur Shulchan Aruch (72:7) says that it is a mitzva to eat fish at every meal. (apparently quoting the Mogen Avraham Orech Chaim 242:1), unless it will adversely affects one's health or one doesn't like fish, for the Sabbath was given for our pleasure, and not for our discomfort. (English translation here).
This memra comes from Tikunei Shabbos. The M.B. 242:2 adds on the word "tov" (not a very strong language). The B'er Hetiv there says each person according to his nature. The idea is you should have oneg shabbos and fish was considered a nice dish. If you don't have the appetite, don't eat it (next phrase in the M.B there).
I have seen it brought down in the name of the Belzer Rebbe (looking for the citation) that the three things that immediately follow the word ויברך in ma'ase b'reshis are humans, shabas, and fish. Therefore the intersection of all three (humans eating fish on shabas) is a particularly strong conduit of b'racha. No mention of a chiyuv.
on shabbas tzaddikim's souls are reincarnated into fish. when we eat the fish on shabbas we elevate their souls.
In the Mishna Berura Siman 242 - the Biur Halacha brings in the name of the Toras Chaim that we eat fish on Shabbos - to remind us of the Shabbos Losud Lovo in the times of Moshiach when we will eat from the Leviathan and it will be a Yom Shekulo Shabbos
The Ben Ish Chai writes that since fish were created from water and animals were created from earth - Water is a higher level than earth - and therefore it is a Inyan to eat fish at all 3 meals of Shabbos.
Here is the reason why you eat it with your Hands


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Dear All!
I tried for several evenings to find an answer to the following basic question and I cannot see what is the answer:
Given an integer $n\geq 3$, does there exist an (infinite) group with exactly $n$ normal subgroups?
If "yes", what about the same questions for finitely generated groups, finitely presented groups?
I guess this must have been done.