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Hartogs Theorem says every function whose undefined locus is of codim 2 can be extend to the whole domain. I saw people saying this corresponds to the (S2) property of a ring. But I can't see why this is true. Can anybody explain this or give a heuristic argument?
Let $\mathscr F$ be a coherent sheaf on a noetherian scheme $X$ and assume that ${\rm supp}\mathscr F=X$. Let $Z\subset X$ be a subscheme of codimension at least $2$ and $U=X\setminus Z$. Let $\iota:U\hookrightarrow X$ denote the natural embedding and assume that $\mathcal F_x$ is $S_2$ for every $x\in Z$. Now the $S_2$ assumption implies that $$ \mathscr H^0_Z(X,\mathscr F)= \mathscr H^1_Z(X,\mathscr F)=0 $$ and the Hartog type extension is equivalent to $$ \iota_*\iota^*\mathscr F\simeq \mathscr F. $$ Finally one has the exact sequence $$ \mathscr H^0_Z(X,\mathscr F) \to \mathscr F\to \iota_*\iota^*\mathscr F \to \mathscr H^1_Z(X,\mathscr F).$$
[See also this MO answer]
This is an answer to a question of Karl in the comments to my first answer to this question.
[EDIT: The following is a minimally simplified version of Proposition 3.3 of Hasett-Kovács04.]
Theorem. Let $X$ be a noetherian scheme, $r\in\mathbb N$, $Z\subseteq X$ a subscheme such that ${\rm codim}_XZ\geq r$, and $\mathscr F$ a coherent $\mathscr O_X$-module such that ${\rm supp}\,\mathscr F=X$ and $\mathscr F_x$ is $S_r$ for every $x\in Z$. Then $$ \mathscr H^i_Z(X,\mathscr F)=0\quad\text{for $i=0,\ldots,r-1$}. $$
Proof. Let $x\in Z$ and notice that we have the following equality of functors: $$ H^0_x = H^0_x\circ \mathscr H^0_Z $$ which induces a Grothendieck spectral sequence $$ E^{p,q}_2= H^p_x \circ \mathscr H^q_Z \Rightarrow H^{p+q}_x. $$ Now prove the statement using induction on $i$.
Suppose $\exists\,\sigma\in\mathscr H^0_Z(X,\mathcal F)$, $\sigma\neq 0$. Let $x\in Z$ be the general point of an irreducible component of ${\rm supp}\,\sigma$. Then $H^0_x(X, \mathscr H^0_Z(X,\mathscr F))\neq 0$ and hence $H^0_x(X,\mathscr F)\neq 0$. But this contradicts the assumption that $\mathscr F_x$ is $S_r$.
Now suppose that we already know that $$ \mathcal H^i_Z(X,\mathscr F)=0\quad\text{for $i=0,\ldots,k-1$} $$ for some $k<r$ and assume that $\mathscr H^k_Z(X,\mathscr F)\neq 0$. By the same argument as above we find a point such that $E^{0,k}_2=H^0_x(X,\mathscr H^k_Z(X,\mathscr F))\neq 0$. Since it is an $E^{0,k}$ term there are no differentials (including later pages of the spectral sequence) mapping to this term and all subsequent differentials mapping from this term map to something of the form $E^{p,q}$ with $0\leq q\leq k-1$. However those latter kind are zero by the inductive hypothesis. Therefore this implies that then $H^k_x(X,\mathscr F)\neq 0$ which is again a contradiction to the assumption that $\mathscr F_x$ is $S_r$. Q.E.D.
See also this MO answer
Here's a somewhat more elementary argument that (S2) implies the Hartogs condition. More precisely, I will show that if $X$ is an (S2) noetherian scheme, then any rational function defined outside a closed subset of codimension two can be extended to the whole domain. (This extension is unique by definition of a rational function.)
Assume, by way of contradiction, that $X$ is an (S2) noetherian scheme and $f$ is a rational function on $X$ that is defined outside a closed set of codimension at least two, but cannot be extended to the whole domain. Let $\mathscr{I}$ be the ideal of denominators of $f$; in other words, over an open affine $\operatorname{Spec} A$, $$I = \{g \in A \mid g f \in A\}.$$ This is well-defined as a sheaf since the ideal of denominators is preserved under flat pullback (and in particular, localization); see this mathoverflow question.
If $g \in A$ is a nonzerodivisor, then $g \in I$ if and only if $f = a / g$ for some $a \in A$, hence the name "ideal of denominators." One can check that the closed subscheme $Z \subset X$ corresponding to $\mathscr{I}$ is, set-theoretically, the "indeterminacy locus of $f$": the smallest closed subset such that $f$ is defined over $X \smallsetminus Z$. By hypothesis, $f$ can be defined outside a closed subset of codimension two, so $\operatorname{codim} Z \geq 2$. Equivalently, whenever $W$ is an irreducible component of $Z$, then the local ring $\mathscr{O}_{X,W}$ has dimension at least two. Since $X$ is assumed to be (S2), every maximal regular sequence in $\mathscr{O}_{X,W}$ has length at least two.
Since $W$ is an irreducible component of the subscheme corresponding to $\mathscr{I}$, it follows that the radical of $\mathscr{I}_W \subset \mathscr{O}_{X,W}$ is precisely the maximal ideal $\mathfrak{p}$. (Algebraically, $\mathfrak{p}$ is a minimal prime over $I$, and corresponds to the generic point of $W$.) Let $g,h \in \mathfrak{p}$ form a regular sequence (which exists since $X$ is (S2)). Replacing $g$ and $h$ by appropriate powers, we may assume that they are both contained in $\mathscr{I}_W$. By definition of regular sequence, $g$ is a nonzerodivisor. Since $h,g$ is a also a regular sequence, $h$ is a nonzerodivisor. Thus, $g$ and $h$, being nonzerodivisors that lie in the ideal of denominators, are in fact denominators of $f$: there exist $a, b \in \mathscr{O}_X,W$ such that $$\frac{a}{g} = \frac{b}{h} = f$$ $$ah = bg.$$ Since $g,h$ is a regular sequence, $h$ is a nonzerodivisor mod $g$. When we mod out by $g$, the equation above becomes $ah \equiv 0$, which would imply $a \equiv 0 \pmod{g}$. In other words, $a \in (g)$. But since $f = a/g$, this would imply that $f \in \mathscr{O}_{X,W}$, a contradiction since $f$ cannot be extended over $W$.
Look at the exercises of Hartshorne, III.3.
MR1291023 (95k:14008), Hartshorne, "Generalized divisors on Gorenstein schemes"
Proposition 1.11.


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I have code to take a picture in a script. I don't understand how to run this script at the time of login. I would like to modify the login process so that:
- The user gets 3 login attempts.
- After 3 failures, my script runs to take a picture with the webcam.
Where can I configure what happens when a user tries to log in?

subset: commoncrawl


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I've been wondering if it would look strange if I didn't include both "pairs" of this idiom, e.g.:
In recent times a significant increase of popularity of teaching English as a foreign language in kindergartens is observed. However, it may be surrounded by many doubts, the main reasons being the great demand for this type of activities from parents, and at the same time the lack of specific, clear guidelines governing the teaching of English, which could be of help to those responsible for introduction of such classes into kindergartens.
I know it's possible (and indeed used) the other way around but I am not sure in this case.


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This international conference provides a unique opportunity for personal and professional growth, networking, and the dissemination of new knowledge in the area of sexually traumatized boys and men. This four-day event will feature numerous workshops for male survivors of sexual abuse, their loved ones/partners, and professionals who work with them.
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Martos Carchi
Martos Carchi — A daughter, Sheyla Brianna, to Franklin Martos Gomez and Kiara del Rocio Carchi Maposito of Waterbury, Jan. 21, at Waterbury Hospital. Grandparents are Luis Carchi and Anita Maposito of Waterbury and Luis Martos and Mariz Gomez of Gualaquiza, Morona Santiago, Ecuador. Great-grandparents are Jose Maposito and Julia Quichimbo of Cuenca, Ecuador and Guadalupe Caracundo of Morona Santiago, Ecuador.
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(CBS/AP) NEW YORK - FBI agents and New York City police officers were in a downtown New York City basement Thursday, searching for clues in the 1979 disappearance of Etan Patz.
CBS New York reports authorities have previously searched the building at Prince and Wooster streets where Patz lived.
Patz vanished without a trace in May 1979 after leaving his family's Manhattan apartment for a short walk to catch a school bus. It was the first time his parents had let him go off to school alone.
The building they searched on Thursday is about a block and a half away and on the same route Patz would have walked to the school bus.
Police spokesman Paul Browne said a forensic team was looking for blood, clothing or human remains. They are expected to be at the site for as many as five days. He wouldn't say what evidence led investigators to the property.
"The FBI and the NYPD are looking for evidence in the Etan Patz investigation. It's one of many leads that we're pursuing. It is a joint matter between the FBI and NYPD and no conclusions should be made about specifically why we're here or what we're looking for," FBI spokesman Tim Flannley.
Investigators will also be taking down dry wall, possibly a brick wall, excavating the concrete floor and sifting through it.
According to CBS New York, a new search warrant was issued in the last week, allowing this search to begin Thursday.
Reports say handyman, who worked in the building where police are searching, knew Patz and occasionally gave him $1 to help him do some work. Around the time of Patz's disappearance, that handyman put down a new concrete floor in the basement of the building. That floor has allegedly never been broken up until now.
District Attorney Cy Vance confirmed in May, 2010 that his office would reopen the case. "This was a shocking case at the time and it hasn't been resolved," Browne said.
Patz's disappearance caused a frenzy in New York City. It also prompted huge changes in the way missing child cases were handled. Patz was the first missing child to appear on the back of a milk carton.
"We obviously are looking to bring closure to the investigation and to the family but that'll be determined throughout the course of this case," Flannley said. "We are obviously optimistic that we might find evidence but again people shouldn't draw conclusions from this. We're doing the best we can to bring closure in this matter."
No one has ever been prosecuted for the crime but the boy's parents sued an incarcerated drifter and admitted child-molester, Jose Ramos, who had been dating Etan's babysitter around the time he disappeared. However, Ramos denied killing the child, but in 2004 a Manhattan judge ruled him to be responsible for the death.
Ramos is scheduled to be released from prison in Pennsylvania this year, when he finishes serving a 20-year-sentence for abusing an 8-year-old boy.


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Tipster wrote:Villa came out fighting last time, so they can show more fight here. A bad result for West Ham and they can slip into the relegation places. Going for a 3-1 win for ASTON VILLA.
Carroll the likely scorer for West Ham.
Almeida wrote:are you watching, hams, or just hearing the radio as usual?
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Archive for the 'lg korea' tag
20 people injured as LG Korea kicks off LG G2 marketing stunts
LG Korea recently kicked off an ill-fated marketing campaign in order to promote the company's new LG G2 flagship device, during their recent 'G in the cloud' promotional event, 20 people were injured during a marketing stunt that involved toy guns and a lot of balloons.
LG Korea recently kicked off their marketing efforts to promote the new LG G2, the first such event involved letting loose hundreds of helium filled balloons carrying vouchers for free devices, but what happened in turn was quite understandable. An eager crowd pulled out BB guns in order to shoot down the balloons and claim their prizes, which in turn injured 20 people. LG has promised to take care off all the medical costs related to the injuries of the bystanders and has cancelled all their subsequent events, which probably involved shooting bricks with vouchers on into crowds.
The company may struggle to compete with their fellow South Korean Samsung, but the LG G2 may very well turn out to be quite a success thanks to key carrier tie-ups by the company and some speedy releases. Do you think LG has what it takes to pick a fight with the likes of Samsung?


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Is there any written proof/documentation that Robin Hood ever existed? Did he ever get arrested and got his name written in the prison books or something like that?
So yes, there were Robin Hoods. But not precisely the one you're thinking of.
Robin Hood is an English folk hero and not based in fact.
A good source on the historical Robin Hood is Holt's Robin Hood. In there, you will learn that there was no single one Robin Hood but a corpus of ballads and stories that may have some basis in reality.
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Thanks to you... The conceptships readers and all of the artists that make this crazy blog possible.
A little Christmas gift I've made for you. Send it to friends and family!
I will take the next few days off. New weekly header Friday...January 2nd, 2009! Have a happy new year and I will see you on the other side!
Merry Christmas conceptships weekly header #40 December 23rd - January 2nd, 2008 - 2009
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Tuesday, December 23, 2008
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Norah's Knits: TV Knitting
Lately, the time I most want to knit is when I am watching TV, and that means I'll want to work on something pretty easy. I find the same thing to be true when I knit in the car. I can't really look down too often, so I need simple knitting. Don't worry, I don't knit while I'm driving, only when I'm the passenger!
The ultimate easy knitting pieces are "knit in the round cowls" in easy stitches:
Nonary has no shaping and all stockinette stitch while Cermak has some occasional shaping. Seyfert's lightly textured stitch is also doable. If you space out and do a few more rows than called for between the fancy bits no one will be the wiser.
In place of a TV, my husband and I have a little LED projector and a small pulldown screen – you know, like the kind we used to have in our elementary school class rooms. With movie knitting, when we watch something together, I am knitting in the dark! Even with a headlamp, my favorite knitting tool, garter stitch or stockinette seem best.
For a darkened room, I like a yarn that I can really feel, like remix or ultra alpaca. Even though Larry and Avocet B are sweaters, there isn't much shaping involved and there are both in my favorite easy knitting stitches – garter and stst!
Knitting in the dark can be a challenge, but it makes it all the more fun when you turn on the light and see your progress in all its glory.
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Vernon Davis (hamstring) is listed as questionable for Thursday night's game against the Rams.
Seahawks placed RB Thomas Rawls (ankle) on the active/PUP list.
ESPN's Adam Schefter reports 49ers RT Anthony Davis reported to training camp on time.
Chiefs signed LT Eric Fisher to a four-year, $48 million extension through 2021.
ESPN's Field Yates reports holdout WR DeAndre Hopkins is owed a $445,000 roster bonus on August 4.
Giants coach Ben McAdoo said Victor Cruz is "on schedule."
Duke Johnson said new coach Hue Jackson has made it clear he wants to run the ball and establish a physical mentality.
Bills suspended RB Karlos Williams (active/NFI) said he is "not far at all" from his playing weight.
Giants coach Ben McAdoo said he "trusts" second-round WR Sterling Shepard.
WEEI's Ryan Hannable believes Julian Edelman's work early in camp suggests he is close to returning.
Patriots G Jonathan Cooper was carted off the practice field Saturday with a right foot injury.
Dolphins coach Adam Gase said DE Dion Jordan is in "step one of like 500" in his return to the NFL.


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Can you ask/instruct a robot on shabbos to perform melacha on your behalf? Would this fall under the same category as amirah l'akum?
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The consensus of authorities permits setting timers before Shabbat. It is similarly permissible to allow a website to sell goods on one's behalf on Shabbat.2
Apparently the consensus is that causing machines to work for us on Shabbat is not under the prohibition of amirah l'akum (instructing Gentiles). However, the use of a robot on Shabbat may still be forbidden for other reasons. For example, if it employs a microphone to listen for instructions, there are cases when use of a microphone is allowed, such as in hearing aids (Shemirat Shabbat Kehilchato, vol. 1, 34), and other cases in which it is forbidden, such as for recording or amplifying a performance (ibid. vol. 1, 28).
Robots exist now that can act based on voice instructions. You can't tell such a robot to do melacha for you just like you can't indirectly cause any melacha. Additionally, we normally assume using electric devices is assur, and you are directly activating to one.
Ignoring the electric issue, what if the robots developed more advanced AI's so it was a separate agent which made your act of speaking less directly connected to the action it performed?
The gemara states one can acquire an animal by calling it to you (so it walks 4 amos), but not an eved, since it comes on it own free will. Assumably, a robot will be more like an animal since it is unlikely to have human-like free will. If the case by kinyan is parallel to shabbos, it should be assur to cause (through speech) animals or robots to do melacha on shabbos.
Also, it would definitely go against the spirit of shabbos, but probably is not included in amirah l'akum.
Robots have no free will (just like animals) and I remember seeing a Teshuva which says you can't tell animals to do Melacha for you on Shabbat.


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LOUISVILLE, Ky. (AP) — An eastern Kentucky man has been detained by federal authorities after allegedly running through a roadblock while carrying multiple firearms during President Barack Obama's visit to the Cincinnati region this month.
A federal criminal complaint unsealed in Covington on Wednesday says Kerry T. Prater of West Liberty had three weapons and a "quantity of ammunition" when he ran through an Erlanger police roadblock on Sept. 17. Obama's motorcade passed through northern Kentucky that day en route to Cincinnati.
The complaint, written by Alcohol Tobacco and Firearms Agent Ronald Young, says Prater has a lengthy criminal history and had been previously declared mentally ill.
Prater's listed attorney, Kerry Neff of Covington, did not immediately return a call seeking comment Wednesday afternoon.


text: The DM Pro Steel 2 left hand fairway woods offer the latest in geometric design. The square shape of these fairway woods move more weight to the perimeter for more stability and forgiveness on off-center hits. The wider and deeper face profile presents an expanded hitting surface, instilling confidence at address. Designed from the inside out using Advanced Shell Technology, the c.g. stays low and rearward to optimize trajectory and feel. The sole design prevents dragging on the take away and through the hitting zone, promoting a smooth take away and solid contact. You will be hard pressed to find a better performing fairway wood at any price.


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Is it possible to create an event that repeats at every 1st, 3rd and 5th Friday in the month in Google calendar?
Although Google Calendar doesn't allow you to create or modify arbitrary recurrence rules, the iCalendar specification which it uses and understands is quite robust in this regard.
Create an ICS file with a custom recurrence rule (RRULE). For example, for an all-day event on the first, third, and fifth Fridays of every month, starting 2 March 2012:
To import the ICS file: In the left-hand list of "My Calendars", click "Settings", then "Import Calendar" link. You can then move the event over to any other calendar if you'd like, but you won't be able to edit it from Google Calendar, aside from deleting it and reimporting.
If this helps, you may wish to read more about the flexibility offered by custom recurrence rules in the iCalendar specification.
The only practical way to achieve this is to create three separate events, one that repeats the 1st Friday, one that repeats on the 3rd Friday, and one on the 5th Friday (although not every month is going to have a 5th Friday).
Update: Another method occurs to me: You would need to create 12 separate recurring appointments, one for each month, that starts on the first Friday of the month, repeats every two weeks, and ends on the last day of the month. Then you will hit, for that month, the first, third and, if it exists, fifth Friday.
When faced with "you can't do it" answers regarding a web app, I try to find out whether it has a published API and use that. Lucky for you, Google Calendar has a well documented API. So if you can phrase your needs in any programming language, you can do it. Good luck!
No it's not possible to set this rule.
The closest thing that you can achieve is to set it to daily and repeating every 14 days starting from one Friday.
If you select a 5th friday and manually type "My Event on every 5th friday of every month" in the description box, it will add them appropriately. Of course you would substitute your title for "My event".
Here's one solution:
Make a "sample" month, creating one Event on the first Friday, one on the third Friday and one on the fifth Friday.
Your event will now show up for all these dates for as long as you wish.
Click on the first day of the series in Google Calendar and type 'My Event, fifth Sunday of every month, 12:30-3:00' in the "What:" field:
Here is a blog post with more details: http://www.amilkhanzada.com/2013/06/google-calendar-repeating-events-on.html
Try Quick Add and type something like
If you select the third Friday of the month for the first occurrence and then select monthly it will figure out what you are doing and look just like your screenshot.


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Last night, I saw a news on TV. A guy is running from Baltimore to San Francisco. He promotes healthy living style to each hosting family along his way. He said that at night he wears some kind of pants for quicker recovery. I didn't quite catch what he said actually, so wonder what kinds of pants for example can help in recovery? Thanks!
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There are a couple of different types of pants that aid recovery, but neither of them are really "pants" in the traditional sense. Most of them are compression tights, or you can also get compression socks or compression sleeves that cover from just below the knee to the top of the foot.
There are several brands of compression hose available on the market, a couple of brands are 2XU, Zoot and Beaker Concepts. You can also get the medical version CEP or TED hose, and it's basically the same effect. You can get these anywhere from $20 - $200 depending on brand and size.
There are also large inflatable boots/pants made by a couple of manufacturers (NormaTec and Recovery Pump) that encapsulate the entire leg or just a boot, and they work by inflating and deflating chambers in the pants to massage, improve circulation and reduce swelling and fatigue. There are quite a few elite endurance athletes that use these, Chrissie Wellington (3x IM world champ), Meb Keflizighi (Oly silver in the marathon), and others of that level that can justify the cost. They run $1000-2000 for a set.
The compression in them runs from 10-30mm Hg (For comparison, a blood pressure cuff will generally be pumped up to 140-180 mm Hg at its highest), depending on the style, manufacturer and where on the leg it is.
My n=1 is that I am wearing Zoot compression sleeves on my right calf to control swelling while I am rehabbing a ruptured Achilles, and they work amazing for that. Since this is my first experience with them, I can't speak to how well they recover for long endurance events, although some of my sponsored triathlon friends swear by them.
This was covered in a recent article in the British Medical Journal, Mythbusting sports and exercise products. Their summary was:
That article is a very useful summary of the evidence on other myths as well.
For anything to be useful in recovery, and not snake-oil or a placebo, it would depend on whether you have a circulatory condition. If you're completely healthy, wearing special pants will just cost you extra money. If you're not healthy, then the types of leggings you might wear to sleep would benefit you regardless of whether you run.


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All is well: voting restrictions are really about 'uniformity'
One of the first things you learn in high-school political science is that high voter turnout tends to favor one party while low turnout favors the other. Back when this was basic enlightening fact was made known to me, there weren't the early voting, weekend voting, extended polling, or same-day registration-and-vote options as we've come to know them– although there were still plenty of fresh tales about the kind of suppression efforts, from the comprehensive to the spontaneous, that had spurred passage of the original Voting Rights Act in 1965 and given Congress in the intervening years ample reason to reauthorize it multiple times. Still, for a class of high-schoolers grappling with the particularities of the most recent reauthorization (this was 1982, for the record), it was generally much easier to view the axiom in meteorological terms: sunny voting days favor Democrats; rainy and snowy ones, Republicans.
Currently unable to dictate the weather, Republicans in swing states are finding ways to make conditions as inclement as possible. "Uniformity" is now the stated objective of their mission, which has gained urgency and speed since last summer's Supreme Court ruling rolling back the preclearance requirements of the VRA. In places like Ohio and Wisconsin and Texas, making everything uniform basically means making it harder for the people who don't fit a certain (shall we call it "uniform"?) demographic to cast their votes.
As a justification, it's probably a less impeachable one than limiting fraud—evidence of which has been scant to nonexistent. It's harder to argue against efforts to restore an unquantifiable "orderliness" to a process that for some has grown too unruly.
And if such measures as eliminating polling sites, rolling back voting hours, or requiring specific types of photo identification burden voters who rely on public transportation, work long hours or outside the uniform nine-to-five, or don't have driver's licenses or other valid ID ("validity" defined by a whole other set of craftily determined criteria)—well, then, mightn't an introduction to the tenets of uniformity encourage them to get with the program?
It's easy to say that measures to extend and simplify the opportunity to vote are equally geared toward benefiting the party that would gain the most from higher turnout. Still, encouraging people to take part in the democratic process seems a lot more in keeping with principles than discouraging or prohibiting them. And if uniformity is the goal, then why not apply it in the other direction? The creative energies now on display in bringing about uniformity could surely be directed toward inviting more Americans to vote—via uniform measures, even.
That Republican legislators can with straight faces dedicate themselves to the cause of "uniformity" is appropriate for a party known for lock-step discipline over messaging. Although that could put Wisconsin's Republican State Senator Dale Schultz on the outs: "Making it more difficult for people to vote is not a good sign for a party that wants to attract more people," he's quoted as saying. But he might be making a larger error in assuming his party in fact does want to attract more people. As Martin Longman posits in the Washington Monthly:
Would it really ever be in the interests of a major political party to restrict voting in a multi-party system? Since there is a political price to pay for nakedly trying to disenfranchise people, a political party would not make the effort unless they had the hope of a sufficient upside. In a strictly binary system, it might make sense. But in a system with, say, proportional representation and/or a prime minister, I'm doubtful that it would ever pay off enough to compensate for the way it alienates people. But maybe it's normal for a two-party system to develop in such a way that one party always benefits from higher turnout and one party always suffers. In such a system, the party that suffers will begin to doubt the worth of people's right to vote, since that right imperils their hold on power.
That complicates the basic sunny-vs.-rainy construct young poli-sci students are introduced to. It also shines a pretty bright light on just what's behind such seemingly innocuous claims about bringing "uniformity" to the voting process.
About the Author
Dominic Preziosi is Commonweal's digital editor.
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Yeah, right! And I still believe in fairies and unicorns: All those whites in the Republican party want to protect our voting rights treat all of us equally.
The evermore white and agining sectors of the body politic are fighting a desperate rear guard action against the rising electoral demographic tsunami that threatens to push them into political extinction - just like the dinosaurs running from the effects of the devastating meteor strike.
Mary Burke's candidacy in Wisconsin has scared the bejeepers out of TeaWalker because she is strong in Milwaukee and Madison. So, change the rules to be "uniform" with rural Wisconsin where voting is not a problem for minorities (very few if any), the elderly (easy access to polling places) and many workers.
If you can't convince, then coerce.
I should have added the Milwaukee and Madison are strongholds for the Democratic party. Rural Wisconsin (my home area) is heavily Republican; Wisconsin is the home of the Republican Party (Ripon), Joseph McCarthy politics and the John Birch Society.
Just amazing how Republicans can get away with something so undemocratic. But if you have money you will get people to betray their own.
These tactics don't always work as well as Republicans hope they will. In 2012, people stood in lines at polling places for sometimes as long as six hours to cast a vote and show the election riggers that they would not be disenfranchised all over again. In some cases, Republicans may have actually increased the Democratic turnout. Remember how surprised they were on election night.
Still, it's a shameful thing to try, even if it doesn't work. But that's all they've got.
An "orderly" society was South Africa's raison d'etre for apartheid.
I can't help but wonder, though, how many countries permit people to vote if they cannot demonstrate that they are citizens of that country?
Both Canada and Mexico require voters to have proof of their identity and to prove they are citizens when they go to vote. Mexico issues a photo ID for free through its Federal Election Institute. Some countries require that all citizens have a national ID card.
It does not seem unreasonable to limit voting to citizens only. The suspicions of fraud would be laid to rest if all voters prove their identity and citizenship.


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Flash frozen and shipped with dry ice for safe delivery to your door; We guarantee it! If Rastelli products are required for a specific delivery date, please allow an extra 1-2 business days for processing and delivery. Rastelli items are produced and shipped from a separate warehouse location. The cost is $15 for frozen shipping and handling. An incremental $2 will be added for each additional Rastelli item you add to your cart after the first one, so add more Rastelli items to your cart and save on shipping.


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3 Comments add a comment
Coupon code SAVENOW takes of another $4.
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@solomon125: Why would you give an item that you have never used a one star review solely based on its shipping availability?


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A police officer who has eight years of experience, with four in Raynham, was promoted to the rank of sergeant on Tuesday night.
The Raynham Board of Selectmen voted during its weekly meeting on Tuesday to promote Raynham Police Officer Brian Levitre to the rank of sergeant. The promotion was made after Sgt. Sally Westcoat retired from the town's police department, said Raynham Board of Selectmen Chairman Joseph Pacheco.
Pacheco said the promotion was made with Raynham Police Chief James Donovan's recommendation, and upon review of civil service test scores of potential candidates.
"Brian was the highest scorer," Pacheco said. "We always go with the highest scorer."
Levitre, who previously worked with the Fall River Police Department and, before that, in the private security industry, said he was "excited" about the new role.
"I'm excited to take on a new task," Levitre said. "I'm confident that I can uphold the standards in the leadership position."
Levitre said he has enjoyed his time serving Raynham for the past four years as a police officer and looks forward to the years to come.
"I like it," Levitre said of Raynham. "It's two different worlds between a city and the town. In a town, there is more opportunity to interact with more citizens."
Chief Donovan said Levitre has "done an excellent job for us" during the last four years. Donovan said Levitre was one of the officers to lose his job in a round of layoffs in Fall River about four years ago, but the Raynham Police Department is happy he landed there.
"He's involved himself in our community," Donovan said. "Fall River had significant layoffs and he ended up coming to us. Since he's come here he has been very much involved in the police department honor guard, field training officers, installing child safety seats, being a photographer, assisting training recruits in the academy. He's assisted with the Raynham portion of Raynham Pride Day since he worked here."
Donovan said that Levitre, who has a bachelor's degree of criminal justice from Curry College, also has another advantage through his 10 years of experience in the private sector. Donovan said Levitre will serve the 26-officer department well in the future.
"I think he's going to be an asset to the department," Donovan said.
Location, ST | website.com


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Raymond Uhlir
Drawings by Raymond Uhlir.
Drawings by Raymond Uhlir.
A terrific little abstract comic called "Tangram", by Argentinian born, Berlin-based illustrator Berliac. See the entire thing below.
A selection of paintings by artist Julie Heffernan. More images below.
Paintings by artist Casey Weldon. More images below.
A selection of paintings by Kharkiv, Ukraine-based artist Kostyantyn Lyzogub. More images below.
"Mouse Baby", a comic by Krakow, Poland-based illustrator Julia Ploch. Read it below.


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Baseball Blanked by Erskine, 6-0February 4, 2014
DUE WEST, S.C. – In the first leg of a season-long three-game set, Anderson University baseball could not get the bats going against long-time archrival Erskine, falling 6-0 Tuesday afternoon in non-conference action at Grier Field.
The Trojans managed just one hit in their first road trip of the season after recording 33 hits in a three-game set against nationally ranked UNC Pembroke last weekend. The lone AU hit came in the third inning off the bat of junior outfielder Ryan Mills for a sharp single.
The Flying Fleet, who claimed their season opener with the win, sent out four pitchers, starting with junior Austin Gambrell who tossed seven complete innings and striking out seven Trojan hitters. Gambrell received his offensive help in the fifth inning when the Fleet crossed five runners to separate from AU after holding a 1-0 lead after the second inning.
Erskine's offense was led by leadoff batter Andrew Kozak who went 3-for-5 with an RBI and a run scored. Redshirt junior Zach Smith, redshirt senior Will Huff and junior Logan Galliher posted two hits on the afternoon, while Cody Spence posted a hit and two runs scored.
Anderson (0-4) starter David Thompson tossed 4.2 innings and struck out four batters, while junior Evan Jordan went 1.1 innings and struck out three Erskine batters. Preseason All-SAC Second Team honoree Landon Beck tossed one complete and struck out two.
With the setback, Anderson posted its lowest hit total since the 2011 season and dropped its first game to Erskine after winning two straight a season ago.
Anderson returns to action on Friday when it begins South Atlantic Conference play at Mars Hill for a three-game series with a doubleheader on Saturday. First pitch from Henderson Field is slated for 2 p.m.


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Dakota Johnson: A Style Introduction
Courtesy Getty
We've been waiting months to see who will be cast to play Anastasia Steele in the highly-anticipated film adaptation of EL James' Fifty Shades of Grey. And now that 23-year-old Dakota Johnson has been officially, uh, tied down for the role, we obviously had to do a style analysis on the actress, as she's sure to become one of the most well-documented women in Hollywood.
So here we go! Even though the star, who is most known for both her leading role on the canceled Fox TV show Ben and Kate, as well as her smaller parts in 21 Jump Street and The Five-Year Engagement, will no doubt be showcasing some beyond racy outfits onscreen as Ms. Steele, we discovered that her own personal sense of style is actually somewhat tame.
For starters, Johnson prefers covering up to stripping down, as evidenced by the cleavage-free soft and romantic cream-colored bouclé dress in the top left box that she wore to the Chrysalis Butterfly Ball at the beginning of June.
RELATED PHOTOS: See more daring star style in Last Night's Look!
And speaking of covering up, it appears that the star also prefers suiting up–check out her menswear-inspired white tuxedo jacket, cropped black pants, and ginormous hat ensemble that she rocked at the BAFTA LA Garden Party (see middle pic).
Finally, while the star definitely rocks the crisp look well, she isn't all covered up all the time–she's had her more revealing moments, too. Documented evidence: the red/backless/hot Romona Keveza gown that she wore to the Art of Elysium Heaven Gala, shown in the picture in the top right box.
In sum, while we have no doubt that we will see Johnson all sorts of stripped down in the 50 Shades film itself, we remain a bit mystified re: what we'll see her rocking IRL. Will she suit up most often? Glam it up? A little bit of both? We'll just have to wait and see how it all unfolds.
Tell us: How would you describe Dakota Johnson's personal style?
–Storm Heitman


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In the user profile in Dashboard I have a section 'Contact info' containing email, URL, aim, yahoo, jabber. I would like to build a widget and output that user info within the widget. What function should I use to get just the contact info of a user?
It sounds like you're after the get_userdata() function.
As a basic example, you could retrieve a users email like this:
If you allow the user to arbitrarily add accounts without knowing what those accounts are up front you leave yourself open to problems.
Say you have a
Assume this user can't spell and as above spells Facebook as Facecrooks. When you iterate over these custom results the output will be erroneous.
If you also choose to display this information elsewhere, then the same erroneous information will be displayed.
To retrieve the values, you would do,
Your best approach would be to define the social networks first so they can choose from a list.
Even if you decide to create a new meta_key per entry you are still going to be faced with the same problems of user input errors.
I would define my own list of social networks in a drop down with a input text field for their URL and then use,
The values you would get from the
To display its the same deal,


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August 17, 2010
The Cape Town fashion scene is always in season
A Stoned Cherrie dress. Photo courtesy Simon Deiner
Miss Port, Tart, Wild Fig and Stoned Cherrie? You would be excused if your eyes are glazing over at the prospect of winter delicacies consumed in front of a fireplace or with our famous mountain or ocean as backdrop. We are, however, talking about hot local fashion designers, as the Cape Town Fashion Week came to a close on August 14, 2010, after 35 designers showcased their talent in 15 fashion shows over the course of 3 days at the Cape Town International Convention Centre (CTICC).
Cape Town is full of places you can come out of looking like you too just stepped off the runway.
Long Street is Cape Town's answer to London's Oxford Street, albeit a slightly more eclectic and diverse one. Stop off at 210 on Long for a greener side to shopping. Buy vintage, one-of-a-kind items at one of the fabulous stores like Second Time Around and Glitterati, tucked into the back of the Long Street Antique Arcade. While you're at it, look into Miyabi and grab a bite to eat; it might be on the go but it is prepared by no less than chef Luke Dale-Roberts. And if you haven't taken a leisurely stroll down Cape Town's Long Street up into Kloof Street in a while – why not? Let the urban wear of Darkie and the classical designs of Stefania Morland inspire you to personalise your style.
- There is bound to be a convenient shopping mall close to your home. Whether it is the V&A Waterfront, Canal Walk, Cavendish Square, Tygervalley Centre, Somerset Mall or the smaller lifestyle centres like Willowbridge in Durbanville or the Cape Quarter in Green Point, you're sure to find something fit for a Saturday excursion. One of our favourite retailers, Woolworths, collaborated with the Cape Town Fashion Week this year by sponsoring the emerging talent division. Annually, they stock a selection of items from top SA designers like Stoned Cherrie.
- Neighbourhood markets like the Old Biscuit Mill in Woodstock or the Helderberg Veld Winkel-Mark in Somerset West have become a haunt for the young and trendy, and not simply for the fantastic, fresh food on sale. Some of the last few spots where you can find a unique piece by a young designer at an affordable price, these markets put the thrill back into shopping.
- Heading off the beaten track on your day off? Kalk Bay Main Road is a shopping treasure trove of unusual designs, the quant and the quirky.
- To those who have to or love to stretch your rands, you'll be pleased to know that Cape Town is also renowned for its factory shops and discount stores. Access Park in Kenilworth puts major brands like Hilton Weiner, Nike and Errol Arendz within reach at a fraction of the cost. The Hip Hop factory shop in Buitenkant Street is the perfect place for a matric farewell dress, and when you're out and about, don't forget about the mohair factory shop in Epping or the Naartjie shop for the kids in Hout Bay.
Whether you lust after top local fashion labels like Missibaba, Olive Green Cat or Stiaan Louw, strut your sense of humour in a Big Blue T-shirt, or flaunt your femininity in a Maya Prass print, Cape Town has it all. And if you are still "recessionising", explore the Mother City's fashion scene for clever ways to update your look using the trendy rails of Mr Price.
For further information on shopping venues and fabulous fashion in Cape Town, visit www.capetown.travel.


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I have a recipe that specifies island cheese and am not sure what type of cheese that is. I've found a place online that sells "Island Cheese" in the Azores but it doesn't describe the type of cheese. I am trying to find a substitute that would be similar.
Any ideas?


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Foreign Minister Prince Saud Al-Faisal led the Saudi delegation to the International Conference for Supporting the Palestinian Economy and Reconstruction of Gaza, which began in Sharm el-Sheikh, Egypt today. The delegation includes Minister of Finance Dr. Ibrahim Al-Assaf and Vice President of the Saudi Fund for Development and Managing Director Eng. Yosef Al-Bassam.
The four day conference, hosted by Egyptian President Hosni Mubarak, is being attended by heads of state, foreign ministers and delegations from 87 countries and organizations. In his opening remarks, President Mubarak praised the generous donation of $1 billion announced by the Custodian of the Two Holy Mosques King Abdullah bin Abdulaziz for reconstruction in Gaza, noting that this donation constitutes a nucleus for mobilizing Arab and international contributions.
In preparation for the meeting, Palestinian Authority Prime Minister Salam Fayyad has put together a 53-page reconstruction plan for donors, including detailed damage assessments. According to his figures, fixing the war damage to infrastructure and homes in Gaza will cost $501 million. A total of 4,036 homes were destroyed and 11,514 damaged. Fayyad noted that with open borders and sufficient aid, reconstruction could begin in six weeks.


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I am wondering if anyone else is experiencing postpartum joint pain. My daughter is 7 months now and I am still struggling with chronic joint pain. I would love to speak with anyone who is experiencing similar pain.
Postpartum Joint Pain
After a month of delivery, I was badly having joint pains in my hands, arms, fingers... that also very severely. My daily activities get hampered due to this. I was not able even to hold my baby in my hands. I meet arthritis, I did blood test as suggested by him. All was fine and reports were normal. He has given me acecophenac, paracetamol and some multivitamins. But nothing helps even after a month. At morning pain was very sever. Some home remedies help me. You may try the same where you are having joint pain. Take hot water, add 4-5 spoons of Salt in that. Keep pouring this water where you are having joint pain. You may use bucket and recycle the same water. It will be great if you could massage with Teel Oil. If Teel Oil is not there then use at heated oil. Heat the oil before using. I suffered from this bad joint pains for 1 month and then visited aurvedic (B.A.M.S. degree) doctor. He gave me some aurvedic medicines and I got 80% relief within 7 days. It was miracle for me. I continued it for 1 month and now I am absolutely cured from joint pain. I would like to suggest that for Joint Pain, don't go for aleopathy, but go for Aurveda.
Progesterone!!!! I went to see a intergrative medicine doc (trained at Mayo) and he perscribed wild yam progesterone and for the last two months I've been almost completely joint-stiffness FREE!!! Love it!! My daughter is 20 months and for at least a year I had pretty severe joint stiffness in ankles, fingers, hips, etc. Most stiffness seemed to fade except for my hips which continued to cause my pain and stiffness. Finally one visit to Dr Dole at Dakota Medical listened and prescribed a progesterone cream and the stiffness is almost completely gone. I'm working out again and it's amazing!! I still have a little stiffness as that time of the month draws near. I wanted to share to every group I see who is experiences this!!
I'm so glad I found this. I was diagnosed with De Quervain's at 3 months PP and the pain went away after I got cortisone shots in my wrists. It gradually came back over time which was okay. But now I'm almost 12 months PP and last month I started having wrist pain when I bend my fingers back on my left hand. I can't crawl on the ground with my daughter because it hurts my wrists too much. I also have started having stiffness and pain in my finger joints especially when I wake up in the morning. I would like to continue BF my daughter but I don't know if this pain is associated with BF. If it is, I'll just suck it up until she decides to wean.
Sheryl (31) Tony (31)
( o Y o ) Woohoo, got my gold boobies!!!
It is not associated with breastfeeding, at least it was not in many of our cases. I am 13 mos PP and still have a degree of what you describe with your fingers being stiff at night. It may take years to fade or never truly go away.
PS. The progesterone only helped my foot aches, not my hands. It is a separate issue I believe.
We just learn to live with these mysterious problems I guess.
Mom to Zoe, Max and Scarlett
Check out my Etsy Shop for Sweet Handsewn Shabby Chic Items!
Hey Girls
I've posted a couple times. I am better but it seems to creep back once in a while & now I have this swelling in my hands and a joint stiffness all over type thing.
Today I was googling seeing if maybe I'm getting this swelling from coffee. I don't drink much max 2 or 3 cups a day.
I found this site.
Honestly take some time to read it. The bottom posts are the most recent. There is one lady on there who posted & she had young kids like us, same symptoms as us. Her rhemy said she had the worst arthritis she'd ever seen in 25 yrs. She cut out coffee & it vanished. She had been dealing with it for yrs.
I'm cutting the coffee out & all other caffine drinks.
I still think this is hormone related forsure but maybe the caffine is making things worse.
Hope it helps. I'll post back in a couple days to let you all know if I'm getting any relief.
I don't agree with the caffeine theory personally. I do not drink coffee/teas or sodas with caffeine nor did I when I was pregnant when it started. It is hormones I am convinced. But, I do hope giving up the caffeine will help you feel better.
Mom to Zoe, Max and Scarlett
Check out my Etsy Shop for Sweet Handsewn Shabby Chic Items!
It's almost one month since I gave birth. 2 nights ago I started having terrible pain in my lower back when I woke up at around 2-3 am trying to feed my baby. I'm unable to stand up without holding on to the crib (thank's god it's only 1-2 feet away from me), and it's almost impossible for me to bend down just a little bit to hold up my baby. And I feel my knees have no strength either. It's really terrified me.
Wow. I just registered because of this topic. I had my first child 5 years ago. With her, I remember having horrible aching feet, but that was all. This time it has been a whole different story. The joint pain for me started at 6moPP on and off. And now for the last 4 weeks I've had joint pain all over - mostly in my fingers, elbows, knees and feet. But really lots of places. The pain moves around. Some days it's more in my feet, others it's more in my arms. Also lots of numbness, tingling, waking in the night with hands completely numb. It's driving me crazy. I went to my Dr. & like the rest of you my ANA, SedRate, Rhuem. factor, etc, etc, were all normal. I see a Rhuem. this week. But I'm not really expecting anything concrete. I tried going off gluten and noticed nothing. I'm going to try and see a Chiro in town who is a big nutrition nut if this doesn't work. I will say that about 2 yrs ago when I was taking hormones to get pregnant (took a while) I had a terrible bout of the same stuff -- got off the hormones and got better. So weird. Also, I didn't have any pitocin - natural labor - so that's not a factor here. I'm sick of being anxious over this. I googled my symptoms and scared myself silly. I'll be sure to update after my appt.
Forgot to say my Internist said I had "tennis elbow" when I went to see her from lifting my heavy baby - but what about my knees?? And my feet?? And she also mentioned that I likely had a virus... I'm skeptical about that. Wasn't sick before this started.
Also, a thought on sleep - someone suggested sleep being a factor. My friend who is a Rhuem. Dr. said that chronic sleep loss can def. affect pain/joints. So.... Could be that too. I've also heard the same thing about sugar.
I guess there is lots the medical world still doesnt know about..
Hi everyone,
So glad to see these posts. I am now 9 months PP and since the day my son was born have been experience extreme stiffness in my fingers and discomfort in my feet when I first stand up in the morning or after napping. It hurts to bed my fingers for about 5 minutes, and my feet have pins and needles (as if I wore very uncomfortable shoes the night before). I had one battery of tests done that showed no inflammation and after met with a rheumatologist who said my symptoms weren't severe enough to be auto-immune and that it would likely go away. But now I'm at 9 mos PP and symptoms are exactly the same - no worse and no better. Has anyone tried massage or physical therapy? I tried acupuncture for 10 weeks with no improvement.


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Information for Men
Information for Men
Did you know?
- 99% of persons arrested for or convicted of rape are men.
- In a survey of high school boys, 76% believed forced sex was acceptable under some circumstances.
- In a survey of college males, 35% anonymously admitted that, under certain circumstances, they would commit rape if they thought they could get away with it.
Most men don't rape. But most rapists are men. While many of these men are deeply disturbed sociopaths, some are also "regular guys" who go too far, perhaps because of being under the influence of drugs or alcohol, or because of wrongly-held beliefs about what a woman "should" do in certain situations. Below are some commonly held myths that men should read and think about in order to protect themselves from becoming a perpetrator of sexual assault.
What if a woman leads me on and then says "no" to sex? Isn't that unfair?
A person has a right to change his or her mind at any point during an intimate encounter. NO means NO, and after she says NO, it's rape! There is NO POINT at which a man cannot control himself during sexual arousal. He may not want to control himself, but he can stop.
Don't some women make up stories about rape just to get attention or ruin a guy's reputation?
No person in her right mind would fabricate a rape charge and go through all the horror, trauma, and fear of reporting it to the police, going through a physical exam at the hospital and exposing herself to the abuse and skepticism by friends, family, and the judicial system, unless something had occurred. It is estimated that 92% of the time, a woman reporting a rape is telling the truth.
If she doesn't struggle or scream, how can that be rape?
Rape is sex without consent, whether or not there is a struggle. If a woman feels that she has no choice, or is incoherent or unconscious, it is rape.
She said "no," but we had sex before and she was fine with it that time.
Her sexual history with you or anyone else is irrelevant. Prior consent is not necessarily consent for the current situation. Remember, NO means NO.
Aren't women who wear sexy clothing and flirt with guys at parties just asking for it?
What a woman wears has nothing to do with the behavior of the rapist. Rape is about power, not sex. A woman is never to blame for being raped. As one author says, "A woman is no more to blame for being raped because she was in a risky situation, than a deer is for wandering into the sights of the hunter." The perpetrator is at fault, not the victim.
How can I protect myself from being accused of sexual assault?
- Know your sexual desires and limits and communicate them clearly.
- Be aware of social pressures and remember that it's okay not to "score."
- Remember that being turned down is not a personal rejection. Women who say "No" to sex are not rejecting you; they are expressing their desire not to participate in a single act.
- Your desires may be beyond your control, but your actions are within your control.
- Accept the woman's decision. "No" means "No."
- Don't continue after "No." If you think the woman doesn't mean it, simply stop and ask…then respect her decision.
- Don't assume that just because a woman wears sexy clothes and flirts that she wants to have sex.
- Don't assume that previous permission for sexual contact applies to the current situation.
- Avoid excessive use of alcohol and/or drugs. Never have sex with someone who is intoxicated or passed out.
Yes. One in six men will be sexually assaulted in his lifetime. Male survivors may experience fear and anger over the loss of control of their bodies. Men are often raised to believe that showing emotion is weak or wrong, which can make it even harder to deal with the overwhelming feelings resulting from an assault. It is important to seek help. See information about what to do if you are assaulted.


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Podcast: Dark Side of the Moon – the Music of Klaus Ib Jørgensen (Extra)
- 12 May, 2009
- 1 Comment
An interview with conductor Paul Hillier about a new CD of works by Danish composer Klaus Ib Jorgensen. Moon-Pain is a multi movement work that includes songs based on the poetry of Portugese poet Fernando Pessoa. Album details… Catalogue No.: … Read More →


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"So the last shall be first, and the first last: for many be called, but few chosen." - Matthew 20:16
WINTERSVILLE - Some have character.
Some show character.
Article Photos
Meghan Vogel
Meet Meghan Vogel.
She has it and showed it 54 weeks ago.
Vogel was dead last in the 3200 at the 2012 Ohio State Track and Field Championships at Jesse Owens Memorial Stadium.
Why someone who could have contended for a state championship in the 3200 was in last place was simple - her legs were spent.
About an hour earlier Vogel, who recently graduated from West Liberty-Salem High School, set a personal best in winning the state title in the 1600 in 4:58.31.
"The idea was thrown out there, but I never thought about not running in the 3200," Vogel said Monday night at St. Florian Hall, site of the 16th-annual Lou Holtz/Upper Ohio Valley Hall of Fame induction banquet.
"I don't feel the state meet is the right place to drop an event because I would have taken another girl's position. That's not right. I wasn't about to do that.
"Three laps into the race, my mom's my coach, and she was sitting along the back stretch and I looked at her and shook my head and got it, she understood and she said, 'OK, just finish.'"
Because she didn't quit and chose to run, God opened a big door.
"He definitely did," she said.
Vogel was on hand to accept the "Do Right" award.
Her selection was well deserved.
Vogel started the race and eventually drifted to a place where it is uncommon for her to run - dead last.
"I've never been in last," she said matter-of-factly.
She is used to being chased, not doing the chasing.
Yet, there she was.
Not far in front of her was Arlington High School sophomore Arden McMath, who had the slowest qualifying time of the 15 competitors.
Heading down the home stretch, McMath fell and could not get up. She tried again, and still could not get up.
Instead of running by her, Vogel stopped, helped McMath up, put her arm around her and helped her to the finish line.
As the crowd at Jesse Owens Memorial Stadium stood and the applause grew with each step by both athletes, Vogel allowed McMath to cross the line before her.
"People call me a hero and I don't think I'm a hero at all," she said. "I'm not a Gandhi or Harriet Tubman or anyone like that.
"I was just trying to do what's right."
The devout Catholic and soon-to-be Penn State student is still rather surprised the legs this story had.
How does 40 meters turn into a national story?
How does one kind act turn into videos on GodVine, GodTube, YouTube, an interview with Fox and Friends, an article on ESPN, articles and blogs from coast to coast and in the London Daily Mail.
"After it happened, a writer at our local newspaper sent me an e-mail and said, 'I e-mailed this to ESPN, but I doubt it will get any attention,'" she said. "I said, 'that's fine, I don't think it will get any attention, either.'
"But, it turns out it did. It's definitely been a shock. It's been fun, though. I have met a lot of extraordinary people through it."
"But the fruit of the Spirit is love, joy, peace, longsuffering, gentleness, goodness, faith, Meekness, temperance: against such there is no law." - Galatians 5:22-23
"I definitely think that God put me in that position for a reason," she said. "I've never been last in my career and that's the one race where I was last.
"Maybe something like this can cause people to look at their own lives and say, 'what am I doing to be nice to other people?'
So, how does one act of kindness receive this much attention?
"Not to be harsh, but maybe we're lacking a little bit," Vogel said. "I don't think what I did was that big of a deal. There are people who do greater things than what I did all the time and don't get any recognition for it. I think we need to shed more light on positive things in the world. I am not saying what I did should garner such attention, but we can't just focus on the battles. We have to uplift the world.
"I just know it was the right thing to do. I go to a cross country camp every summer and the coaches motto is, 'Always do what's right, not what's easiest.'
"I wasn't going to run by her, so I stopped and helped her. I knew any of the girls on that track would do the same for me. Us distance runners in Ohio, we're definitely a close-knit group because we run against each other all the time."
This year Vogel finished third in the 1600 (5:00.28) and 11th in the 800.
"We found out a month before the state meet that I had mono," she remarked. "We were really torn with the idea of what I was going to run.
"To find out I had mono was kind of interesting because I had it for about three weeks before I was diagnosed. It was not fun. When we found out, it's not like I could take any time off.
"I took two days off and then I took Sundays off from running.
"I was praying that it would get out of my system in time. My parents (Jason and Ann) and teammates were great because they were being encouraging all the time.
"I kept the faith and I finished and that's all I could ask for."
"I have fought a good fight, I have finished my course, I have kept the faith:" - 2 Timothy 4:7


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For smooth $n$-manifolds, we know that they can always be embedded in $\mathbb R^{2n}$ via a differentiable map. However, is there any corresponding theorem for the topological category? (i.e. Can every topological manifold embed continuously into some $\mathbb R^N$, and do we get the same bound for $N$?)
I'm not sure about $\mathbb{R}^{2n}$, but you can embed them in $\mathbb{R}^{2n+1}$ using dimension theory. The theorem is that every compact metric space whose covering dimension is $n$ can be embedded in $\mathbb{R}^{2n+1}$. The example of non-planar graphs (which are $1$-dimensional) shows that this is the best you can do in general.
The classic source for this is Hurewitz-Wallman's beautiful book "Dimension Theory", which I recall being pretty readable to me when I was an undergraduate, though I haven't looked at it in a while. There is also a nice discussion of this in Munkres's book on point-set topology -- when I last taught a point-set topology class, I used this as one of the capstone theorems in the course.
A bit off-topic, but I'd like to mention some big differences between Whitney's $2n$ theorem and his $2n+1$ theorem.
The idea of the $2n+1$ theorem is that "most" smooth maps from a compact smooth $n$-manifold to a $2n+1$-manifold are embeddings -- in particular every map is smoothly homotopic to an embedding, by an arbitrarily short homotopy. This, coupled with the relatively easy result that every continuous map between smooth manifolds is homotopic to a smooth map, implies that every map is homotopic to a smooth embedding. In particular every $n$-manifold embeds in $\mathbb R^{2n+1}$.
The $2n$ theorem has a trickier proof. Step 1, most smooth maps from an $n$-manifold to a $2n$-manifold are immersions (locally embeddings) without triple points or non-transverse double points. Step 2, there is a procedure for eliminating a transverse double point by a homotopy under certain broad hypotheses. Differences: (1) The homotopy is not short. This is not about "most maps" being embeddings. (2) Step 2 fails if $n=2$. That's because you use an embedded $2$-disk in constructing the homotopy, but the construction of an embedded $2$-disk in a $2n$-manifold won't be had for free as in the $2n+1$ theorem if $2n=4$. (3) Step 2 also requires the choice of some path in the domain and a nullhomotopy of some loop in the codomain, which means that it fails if the given map of manifolds is non-injective on $\pi_0$ or non-surjective on $\pi_1$. It's OK for embedding in $\mathbb R^{2n}$, but there are simple counterexamples in general. Also, for $2$-manifolds in $\mathbb R^4$ you cheat and use the classification of surfaces. For $2$-manifolds in $4$-manifolds there are interesting surprises: not every map $S^2\to \mathbb CP^2$ or $S^2\to S^2\times S^2$ is homotopic to an embedding.
I don't know if you can get the same bound, but you have the embedding in some big $\mathbb{R}^N$. The proof is the same as in the smooth case, even simpler, Let me show how it works assuming $M$ is compact, say of dimension $n$.
Cover $M$ by finitely many charts $U_1, \dots, U_k$ homeomorphic to $\mathbb{R}^n$. For every $i$ consider the map $f_i \colon M \to S^n$ which collapse the complement of $U_i$ to a point. Of course you can see $f_i$ as a map to $\mathbb{R}^{n+1}$. Then $f = (f_1, \dots, f_k)$ is the desired embedding.
Yes. For compact manifolds, the proof can be found in Munkres Topology, a first course. In the 1975 edition which I used it's in §4.5, but not sure in newer editions.
According to Munkres, the theorem also follows without the compactness assumption but "the proof is a good deal harder." Others can surely point to the original literature.
In Munkres's Topology, 2nd edition, Corollary 50.8 says "Every compact $m$-manifold can be imbedded in $R^{2m+1}$." Then Exercise 6 on page 315 shows (with hints) how to extend it to noncompact manifolds. I don't know if the dimension can be lowered to 2m, though.
As Andy says, each compact metric space of dimension $n$ embeds in $\mathbb{R}^{2n+1}$ (but some don't in $\mathbb{R}^{2n}$). It is the case that this extends to second countable locally compact Hausdorff spaces (including second countable Hausdorff manifolds).
It Is easy to see that every simplcial complex embeds in R^{2n+1}, just take generic points on the moment curve as vertices and extend linearly.
Stallings proved that every n dimensional complex embeds upto homotopy into R^{2n}. Not sure if adding the manifold hypothesis lets you get rid of the homotopy.


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One of the nation's most successful liberal arts-based geography programs, the Department of Geography at SUNY-Geneseo offers a Bachelor of Arts Degree in Geography and administers minor degree programs in Environmental Studies and Urban Studies. Spanning the discipline's breadth, our curriculum strives to enhance geographic literacy while ensuring that students develop intellectual skills important to the pursuit of an enriching and rewarding life. The Department's seven fulltime faculty welcome students, alumni and friends to our website.
Please be sure to visit the Alumni Geographers of Geneseo (AGOG) Facebook page.
|Matthew G. Hutchinson, 1991-2016


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Game : Football Manager 2010 (PC)
Version : Official SI 10.1 patch
Database size : Large
Leagues loaded : All available Asian and Oceanic leagues :
- China (First Division and above)
- Hong Kong (China PR) (First Division only)
- India (National Football League only)
- Indonesia (Premier Division and above)
- Malaysia (Premier League and above)
- Singapore (S-League only)
- South Korea (N-League and above)
- Australia (Hyundai A-League only)
I'll be trying to play this game along side rancer's Asian challenge, with the only exception being the addition of extra leagues to allow myself some longevity within my save. The challenge looks a difficult, but interesting one and whether or not I manage to complete the challenge remains to be seen. What I do know though is that it'll be an interesting save both to play and to read. As I said, whilst I'll be aiming to play along side rancers challenge rules, if I do receive an offer which is too good to turn down, I may take it even if I haven't completed the challenge.
I hope you enjoy my journey. Comments are welcome, good or bad.


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Adrian Ballintine, CEO, NewSat
NewSat, the Australian satellite company, hopes to launch a plethora of satellites during the next few years and become an emerging force in the satellite market.
The company is a big believer in Ka-band and could announce plans for multiple high-throughput satellites in the near future. Adrian Ballintine, CEO, NewSat, talks about how the company's ambitious strategy is taking shape, and how the operator aims to be a key player across multiple regions, with up to 17 new satellites commissioned in the next few years.
VIA SATELLITE: How much capacity do you plan to have sold on Jabiru-1 by the time it launches?
Ballintine: NewSat fully intends to populate as many orbital slots as quickly as it can. It is driven in that regard by demand, and in terms of which slots are available. Certainly demand in the Middle East and over South Asia and into Africa is strong, and because of this Jabiru-1 already has about 33 percent of the capacity sold on it. We do not expect to sell much more on Jabiru-1 at the moment. We hope to announce Jabiru-3 and Jabiru-4 during this calendar year, and we will pre-sell the required amount of capacity to get those satellites funded. Those satellites are carrying footprints over the Middle East and into Africa, and it is clearly those areas that are driving our business.
VIA SATELLITE: Could you tell us the significance of the recent deal with Measat regarding the levels of capacity you hope to have sold on the Jabiru satellites?
Ballintine: Measat has taken a 15-year, $186 million contract to broadcast into South East Asia for DTH and some other existing businesses. That is a good and solid 15-year piece of business for Jabiru-1. We have taken capacity on Measat-3b, and that capacity is for the oil and gas and mining clients of ours in Papua New Guinea and Australia, predominantly Western Australia. We also have the naming rights on that satellite, so that will be called Jabiru-2.
VIA SATELLITE: Which growth markets will NewSat be targeting going forward?
Ballintine: I think we are different from most of the world's satellite providers, which are targeting DTH in 80 percent of the world. We are in the middle of oil and gas and mining and government. From our perspective, in areas such as the Middle East and Africa, we feel there are great opportunities, but also you have countries like Indonesia and other areas of Asia that are very interesting for us as well. Having said that, we have aspirations that Jabiru-5 will be a satellite over Latin America and this will serve environments similar to those in Australia, so predominantly oil and gas and mining companies. We have a lot of business in that very niche market and we think those areas will continue to be very good for us going forward.
VIA SATELLITE: Why did you decide to go with Lockheed Martin for Jabiru-1 and what process did you go through to make that decision?
Ballintine: As a first time satellite purchaser, the process is quite exhausting. We enlisted consultants to help us and Argosat advised us. They were very helpful initially in determining the benefits of all the satellite suppliers: Boeing, Space Systems/Loral, Astrium, Thales, Lockheed Martin, etc. So, there is plethora of companies to choose from. We had our own internal people who were involved in procuring a number of satellites around the world for a number of years. Ultimately, we made a decision on performance and price and the ability of the manufacturer to build to our specifications. We wanted a very specific Ka-band satellite that would perform like a Ku-band satellite with multi-spot, steerable and regional beams. Lockheed Martin was able to do that better than anyone else, at the best time available and at the best possible price.
VIA SATELLITE: With NewSat looking to order a number of new satellites, are you tempted to order all electric satellites from a provider like Boeing?
Ballintine: It absolutely comes into our thinking. This is a very interesting initiative from Boeing and one that cannot be ignored. The price/performance ratio and the time it takes to build the satellites is something we are going to watch eagerly.
VIA SATELLITE: In terms of launch services, would you consider a new entrant like SpaceX at this stage?
Ballintine: When you are a small public company attempting to become a big public company, there are certain behaviors that behoove you and your shareholders. I guess from our perspective, we would like to be as "risk free" as possible in our early stages of development and would be more likely to go down the tried and true path. Lockheed Martin and Arianespace are reflections of that. I think it is fantastic that there are innovations in space and ground technology.
VIA SATELLITE: What would be the total investment in Jabiru-1 to Jabiru-5?
Ballintine: If you worked it out at $400 million per initiative, then you are looking at a total investment of $2 billion in capital expenditure. It is an interesting exercise. If you look at Jabiru-1, it is going to pull something like $2.5 billion in revenues during a 15-year timeframe with very substantial margins. These are healthy, solvent business models. We would expect to be able to replicate that in a number of instances.
VIA SATELLITE: Are you likely to commission more satellites in the near future?
Ballintine: Jabiru-5 will be announced this year, but I am not suggesting that it will be fully funded this year. Five Jabiru satellites will be announced this year with clear customer patterns. We think we will have the launch partners and manufacturers named. From there, we have eight orbital slots and the ability to launch any number of satellites. During the next three years, we will very aggressively attempt to populate those slots with as many satellites as we can. Ultimately it could be between nine and 17 satellites.
VIA SATELLITE: Will you need to gain access to funding in the next two years?
Ballintine: The most common way to get funding for new satellites has been to use organizations like EXIM Bank and Coface. The deal with Lockheed Martin means we are supporting around 750 jobs in the United States as well as in France. The Export-Import Bank and Coface are supporting these initiatives, so approximately 75 percent of the capital on the first satellite is provided by them. On future satellites, there is a range of financial instruments we can look at. There are bonds and other equity options and given the way we have structured the financing on Jabiru-1, there is no reason why we can't work with Coface and EXIM Bank to help fund Jabiru-3, Jabiru-4 and Jabiru-5. We might use bonds or equity for the balance, or we might use other instruments to gain funding.
VIA SATELLITE: How do you view the Ka-band opportunity for NewSat?
Ballintine: The world is populated with a lot of Ku-band capacity at the moment. You have to coordinate with your neighbors and that can be difficult. If you are able to construct satellites where Ka-band is able to behave like Ku-band, then you have a whole new world to aim it, and you solve some of the technical issues there are with Ku-band. I think the way we intend to construct our satellites is to use Ka-band like Ku-band, and for that reason it is attractive to sectors such as oil and gas, mining and the military. The military has decided to standardize Ka-band technology with their WGS program. Inmarsat has gone with Ka-band technology. There is a whole new world of band opportunity.
VIA SATELLITE: NewSat is looking to launch a number of satellites. Is there a hosted payload opportunity for NewSat?
Ballintine: I think there is. If you look at the U.S. military, it is clear that they intend to exploit as many commercial payloads with other providers as they can. Clearly, in Australia, we have a very good relationship with the U.S. military. We operate teleports that provide service to them and we would expect to be able to supply potential payloads.


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Good Friends getting press always makes me smile. I was really thrilled to see Julie & Skip from Swamp Pit BBQ getting some press from Albany Alive at the Troy Pig out where they took a 2nd in pork and a 10th overall.
If you have ever been to a contest where they are at you probably met them. Socializing at BBQ comps is something they specialize in.
Team Swamp Pit : Skip, Robert, Julie, Lizzie, Mikey(Todd in Blue)
Additionally they are more often than not showing a new team how to make a parsley box, organize their camp or just in general helping out wherever they can!! I have witnessed their kindness and generosity to so many people on many an occasion and have been the recipient of it as well.
They also always have some seriously good tequila always served ice cold from one of their many cocktail shakers.
Once again they like many others show why Competition BBQ is such a great "sport" to get involved in. Its not always about the meat and the turn ins – its more often than not about the awesome people you meet.