text:
FAYETTEVILLE, Ark. — Marshawn Powell still won't say he's 100 percent healthy after last year's knee surgery that kept him out for most of the season.
The Arkansas junior — who says he's 95 percent — looked every bit his old self on Tuesday night, scoring a career-high 33 points to help the Razorbacks avoid a three-game losing streak with an 81-78 win over Oklahoma.
Former Sherman basketballer Cameron Clark finished with eight points, two assists and three rebounds for Oklahoma.
Powell added six rebounds and five assists for Arkansas (4-3), which avoided its first four-game losing streak since closing out the 2009-10 season with six straight losses. The forward bested his previous career high of 29 points, which was set against Appalachian State in 2009.
"I felt so comfortable today," Powell said. "I decided before we started playing just to leave everything that was basically in the last couple of games in the locker room and just play, play my game, play how I play."
The Sooners (6-2) rallied from an 11-point second-half deficit to take a 78-77 lead in the closing minute.
However, Arkansas' BJ Young answered with a floater in the lane to put the Razorbacks back up 79-77 — a lead they held on to for good.
Romero Osby led the Sooners with 22 points, while Amath M'Baye finished with 14 and Steven Pledger 12. Oklahoma was 31 of 56 (55 percent) from the field, including 64 percent in the second half, but it struggled to stop Arkansas, which was 30 of 57 (52.6 percent) from the field.
"We had good movement, attacked and made plays for each other, had rhythm jumpers," Oklahoma coach Lon Kruger said. "I though the offensive side of it wasn't our problem there in the second half. We gave up 50-plus percent shooting as well."
Arkansas, which led all except in the early going, led by as many as 11 points early in the second half — taking a 53-42 lead after a basket on the break by Hunter Mickelson.
Oklahoma rallied and took a 78-77 lead in the closing minute after a second straight 3-pointer by Pledger with 22 seconds remaining.
Young, however, quickly drove into the lane on the other end for the Razorbacks and hit his running floater to put them back up 79-78 with 15 seconds remaining.
"It was just time for a big-time player to make a big-time play," Young said.
Osby then missed a long jumper with 4 seconds remaining, and Powell grabbed the rebound for Arkansas. He was fouled and then hit two free throws with 2.4 seconds left, and he followed that up with a deflection to keep the Sooners from getting an open look as time expired.
"I thought it was going in when it left my hand," Osby said. "Unfortunately, it didn't."
Powell missed all but two games last season with a torn ACL in his right knee, one year after earning second-team All-Southeastern Conference honors. He entered the game averaging 13.3 points per game this season, including a 19-point effort in a loss last week to Syracuse.
The 6-foot-7 forward had that many points by halftime against Oklahoma, helping Arkansas extend its lead to as many as nine points in the first half. His layup put the Razorbacks up 31-22, and he was 7 of 9 from the field in the half, including a perfect 3 of 3 on 3-pointers.
He finished a career-best 4 of 6 from behind the arc, topping his previous best of two 3-pointers in a game.
"It was good to see him really look in rhythm, but not only on just offense, but I thought defensively," Arkansas coach Mike Anderson said. "I thought his presence was very, very important for our basketball team out there. It was very evident tonight."
Young also finished in double figures with 10 points, as did Mardracus Wade for Arkansas, which was 9 of 22 on 3-pointers. Young also had eight assists.
The Razorbacks led 69-61 after an inside basket by Ky Madden, but Oklahoma closed to within 69-68 thanks to a 7-0 run that was capped by a jumper by M'Baye.
Arkansas used a pair of last-second shots to hold off the Sooners down the stretch. The Razorbacks were called for a shot-clock violation while up 73-68, and Oklahoma closed to within 73-70 after an inside basket by Osby.
With the shot clock once again winding down, Madden found Powell for a jumper on the baseline that put Arkansas back up 75-70.


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Lindsey Moore has become a strong leader for the Nebraska Women's Basketball team. NET Sports set out to find out "moore" about her.
live streaming schedule & on demand videos
|03:00 pm
|Begin With The End in Mind: Communicating Your Wishes-session3
|OLLI: Tabitha presents a 3 part series about END OF LIFE WISHES from the meeting room #3
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|Nebraska Department of Education: December 2016 NDE Work Session
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|Huskers Up Close: Scott Schreiber
|Hear from sophomore infielder Scott Schreiber during the 2016 Nebraska Baseball campaign.
|ICU Learning English: Stress, 1022
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|Kearney Goes to War: Remembering the Homefront
|"Kearney Goes to War" features Kearney, Nebraska's important military and community contributions...
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|Hear from junior outfielder Ryan Boldt during the 2016 Nebraska Baseball campaign.
|Consider This: Suicide Prevention, 1924
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|The Phantom of the Opera Host: Cathy Wyatt Guests: 1) Kendra Whitlock Ingram / V.P. Programming...
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|Hear from junior LHP/DH Ben Miller during the 2016 Nebraska Baseball campaign.
|NSAA Speech Championships: 2016 Best of the Best
|The best of the best from the state speech competitions perform their winning speeches.

subset: commoncrawl


text:
Suppose that $k$ is an algebraically closed field. Let $F/k$ be a (possibly non-finitely generated) field extension. Is
$$ k[[x]] \otimes_{k} F $$
If not, is the natural map $k[[x]] \otimes_{k} F \to F[[x]]$ injective?
Suppose that $k$ is an algebraically closed field. Let $F/k$ be a (possibly non-finitely generated) field extension. Is
$$ k[[x]] \otimes_{k} F $$
If not, is the natural map $k[[x]] \otimes_{k} F \to F[[x]]$ injective?
The answer is no: for example, $k[[x]]\otimes_k k((x))$ is not noetherian.
Given an extension of fields $K/F$ the tensor product $K\otimes_F K$ is noetherian if and only if $K$ is finitely generated as a field over $F$.
Full confession
I was emailed the following argument:
We prove that $k[[x]]\otimes_{k} k((x))$ is not noetherian by showing directly that $k((x)) \otimes k((x))$ is not noetherian (as suggested by Georges Elencwajg). I will just handle the case $k=\bar{\mathbb{Q}}$ and then make a remark about the general case at the end.
The field $k((x))$ has only countably many finite separable extensions because every such extension is obtained by adjoining a root of $x$. On the other hand, the transcendence degree of $k((x))$ over $k$ must be uncountable because $k((x))$ is uncountable and $k$ is countable. Fix a transcendence basis $( t_i )_{i \in I}$ for $k((x))$ over $k$.
The algebraic extension $k((x))$ of $K := k((t_i))$ is algebraic with infinite separable degree. Indeed, if the separable degree was finite, then $K$ would admit at most countably many finite separable extensions as this is true for $k((x))$. This is absurd because $( t_i )$ is uncountable.
Because the separable degree of $k((x))$ over $k((t_i))$ is infinite, $(k((x)) \otimes_{K} k((x)))_{\text{red}}$ has infinitely many idempotents and so
$$k((x)) \otimes_{K} k((x))$$ and hence $$k((x)) \otimes_{k} k((x))$$
are non-noetherian. This completes the proof.
With work, this proof can be modified to hold when $k$ is a finite field $\mathbb{F}$. In this case, one must argue more carefully to show that $k((x))$ has only countably many finite separable extensions. (The email indicated that one should use local compactness together with Krasner's Lemma.) Finally, one can deduce the case of a more general field $k$ from the case $k=\bar{\mathbb{Q}}$ or $\mathbb{F}$ by using a faithfully flat descent argument.


text:
Surface mounting allows this L.E.D. light to be mounted where minimum space is available. Switched lights are available in white, red night vision and white/red combination.
- Long lasting L.E.D. technology draws less than 10% of the power of incandescent lights for longer battery life.
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New York Rangers vs Boston BruinsTue, November 19, 2013 - 7:30 PMMadison Square Garden in New York, NY
We are sorry, the date for this event has already passed. This event took place on 11/19/2013. Click here to view upcoming events for New York Rangers.
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text:
"Pairwise disjoint" is stronger than "disjoint"; it sometimes happens that $\displaystyle\bigcap\limits_{i\in I} A_i=\varnothing$ but for every $i,j$, or at least for some, one has $A_i \cap A_j\ne\varnothing$.
Likewise, "pairwise coprime" is stronger than "coprime".
"Pairwise independent" (in the probabilistic sense) is weaker than "independent". For example, suppose $X_1,\ldots,X_n$ are independent and uniformly distributed on the sphere $S^n$; then the great-circle distances $d(X_i,X_j)$ and $d(X_k,X_\ell)$ are independent if $\{i,j\}\ne\{k,\ell\}$ even if $i=k$, but $d(X_i,X_j), d(X_j,X_k), d(X_k,X_i)$ are not independent even though each of the three pairs of these three random variables is a pair of independent random variables.
Question: Is there a somewhat general rule that says for which sort of X the qualified "pairwise X" is stronger than "X" and for which sort it is weaker than "X"?
Here's a guess: Some sort of category-theoretic viewpoint can make some kind of sense of this. (?)


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It is incredibly rare that I down-vote on this or any other community site. I would rather just ignore the item. However, occasionally some very bad advice is given that is worthy of a down vote. Why should this adversely affect the reputation of the down-voter?
What is meta?
- Any Stack Exchange user can ask a question
- The community provides support, votes on ideas, and reports bugs
- Your voice helps shape the way Stack Exchange operates
migrated from stackoverflow.com Aug 20 '09 at 19:16
This question came from our site for professional and enthusiast programmers.
The motivation behind it is to put emphasis on up-voting or not voting at all. This way, down votes will carry more weight and it will also prevent users from abusing the system by down-voting excessively.
According to what Jeff/Joel discussed on the SO podcast, they wanted to find a way to discourage users from down-voting for less legitimate reasons (say a pro-Java developer down-voting everything remotely related to .NET or the like).
Edit: I have to admit, it definitely puts it into perspective to compare how many points you gain for other activities vs. the 1 point you lose for a down vote. It is effectively the smallest penalty that the Stack Overflow scoring system will permit.
Also, it may not be the best possible approach, but one has to start somewhere. Besides, the site is only a couple of months old.
Note that you only lose reputation for downvoting answers, not questions.
So you will think twice before doing it.
To be a slight deterrent to someone downvoting everything they don't like.
So how is that different than somebody voting up indiscriminately? Instead of the java developer voting down everything .NET, you have the java developer voting up everything Java. I also don't see how marking something wrong down should degrade your reputation when you are doing the community a favor. Maybe you should just get a "curmudgeon" badge.
While I see the simple votes as easy to understand, I'd rather see something like badges for answers. That way you could have things like "verified" where the voter had a choice like "I have implemented this answer and it works for me", Or "incorrect" where the choice was "I have tried this answer and it does not appear to work".
I often wonder if -2 off the person your down-voting is enough. Maybe it should be -10 to equal the amount they might get off an up-vote. I only say this as one user could have got one down-vote and one up-vote which would still equate to +8 rep points for them. (Even though their vote score would still be at zero).
Of course I understand that -10 might seem excessive, I'm just looking at a view point of balancing the rep when it comes to up-votes and down-votes.
Keeping it to -1 for the person who originally cast the down-vote but giving -10 to the person who's been given that down-vote might seem fairer to some, and make it more acceptable when losing some rep to down-vote a bad post/answer.
EDIT: I do believe that down-voting should be kept to a minimum and only used when really neccessary.
I like the idea. It keeps people from mass down voting for the sake of down voting, since you yourself take a penalty for the action.
I know it's a deterrent to stop people abusing the system but it still seems unfair to loose reputation for pointing out a rubbish reply / question. I for one won't ever vote anyone down now which probably isn't a good thing?
I think it's to discourage people from down voting indiscriminately.
It seems reasonable to me. You're limited to a certian number of down-votes a day anyway, right? If you're contributing positively to the site at all, then I doubt you'd notice the change in your reputation.
I'm not sure whether the down-voting feature was really well thought out.
On one side, Jeff praises the possibility of downvoting as a very valuable feature. On the other hand, you are discouraged from down-voting because you lose almost as much reputation as the user being downvoted.
It also seems reasonable to me. I've only downvoted once, and that was on a truly bad answer. (I've been downvoted at least three times, and I think four, and I understand why on most of them ... )
The one-point penalty is a "keep-it-honest" deal. Downvote for something BAD, but not just because you don't like it.
I'll admit to being annoyed about something in the SOverse and thinking "I'd like to downvote that". The cost associated with that helps me keep things in perspective. Nothing has yet been worth the downvote.
I should also note that when you don't have much in the way of rep to start with the cost of a downvote is proportionately far greater than for someone with a lot of rep. This favours having high-rep users as the ones who do the downvoting - which is in line with the basic idea of rep IMO.
My guess is that it is to make you think twice: Is it really worth 2 whole reputation points to mark this as bad, or should I just ignore it? It seems to work quite effectively.
Free down-votes would probably result in a habitual down-voting of mostly anything that someone doesn't agree with; a small penalty lessens that tendency.
I dunno, if I really disliked what someone did in real life, I might cut off a piece of myself and through it at them.
The loss of a point on a down-vote is really a mechanism to punish newer users and prevent them from abusing the system. Let's face it; the 30K rep users here really could care less about a point, but they've gotten to that point because they've been around a while and are active in the system. They (theoretically) know better when to down-vote and when to add a comment to help the asker/answerer in question. New users, on the other hand, value every point they can get and need incentive to not just go on a down-vote binge because they didn't have their coffee.
Or at least that's what I believe.
One point would be, to avoid excessive use of it. You should only down vote if it is a bad post.
One Rep-Point is not much but it makes some think twice before spending it ;)
It's a deterrent to some users who might otherwise down-vote indiscriminately. I think most people would down-vote only rarely regardless, but there are some who might want to use down-voting to penalize other users for having a different opinion, for using the wrong language, for having too much rep, etc.
Because they didn't think before implementing this reputation system. They just wanted the project to look new and different. The point of being effective as well got somehow lost on the way.


text:
The Custodian of the Two Holy Mosques King Abdullah bin Abdulaziz chaired the weekly Cabinet session at Al-Salam Palace in Jeddah today. King Abdullah briefed the Cabinet on the talks and consultations which he made last week with a number of world leaders and their envoys. The Cabinet then discussed regional developments and denounced the continuing acts of violence and massacres in Syria, which left hundreds of unarmed civilians killed or injured. The Cabinet cited the massacre in the village of Treimsa in the central province of Hama, where more than 150 people were killed last week, as an example of the brutality of the Syrian regime. The Cabinet described the massacres in Syria as terrorist and cruel acts that compel the world community to take decisive measures to protect the civilian Syrian population.
On domestic issues, Cabinet was briefed by authorities in Makkah and Madinah on Umrah (minor Hajj) preparations for the approaching holy month of Ramadan. King Abdullah instructed that every possible service be extended to Umrah and Ziarah (visit) performers.
The Cabinet approved the two memorandums of understanding pertaining with strategic dialogue between the Gulf Cooperation Council (GCC) and the Islamic Republic of Pakistan, and the GCC and Australia, signed in Abu-Dhabi on March 8, 2011. The Cabinet also approved a memorandum on scientific and educational cooperation between the Kingdom's Ministry of Higher Education and the Ministry of Education and Skills of Ireland, signed in Dublin on June 14, 2011. The Cabinet approved an agreement between Saudi Arabia and the Ukraine on the issue of double taxation and tax evasion, signed in Kiev on September 2, 2011.
The Cabinet asked the Saudi Railway Organization (SRO) to assume the duties and operations of the Saudi Railway Authority until the task are transferred to investors.


text:
Delightful, laser-cut protection made of riveted stainless steel and aluminium parts. This gives the chain guard the necessary stability - and makes it as light as possible.
Optimum use is made of the existing mounting points when attaching the chain guard, which means it is easy and quick to do.


text:
Trending Now
Can you define these popular missing words?
Marine Park Gangster
Yo, there are so many MPG's in the park today.
viết bởi mg12345 16 Tháng mười hai, 2009
Mysterious pussy gut
Hey matt check out this lady's mpg. Oh wait that might be a dude
viết bởi subguy 02 Tháng mười hai, 2006
miles per gallon. something i don't get many of in my suburban.
my suburban gets 12 mpg.
viết bởi zack19 29 Tháng chín, 2009
Mutual Pain Gain. Sort of like S&M, MPG is when the person giving the pain wants the person recieving it to enjoy it, so that both people gain from the receiver's pain.
Dude1: Are you into S&M?
Dude2: Sort of, but I like MPG, more.
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viết bởi found and lost 22 Tháng sáu, 2005


text: Jerry Barilla of Frank and Jerrry Furniture and Appliances on Fourth Street in Steubenville shows off some stoves that will be in use during this year's Taste of Home Cooking School planned Tuesday at the Serbian-American Cultural Center in Weirton. The event, presented by the Herald-Star and The Weirton Daily Times, will feature Taste of Home culinary specialist Michael Barna. Doors open at 4:30 p.m., and the show, featuring 10 dishes prepared on stage by Barna, begins at 7 p.m. The cooking school is sponsored in cooperation with Weirton Medical Center, Create-A-Room and Hancock County Savings Bank, with support from M&M Hardware, Frank and Jerry, Kroger Hollywood City Center and the Steubenville Wal-Mart. Tickets start at $10 for general admission. Preferred seating is $20, and a VIP experience is available for $45. Those who purchase VIP tickets will be entitled to attend a special meet-and-greet reception with Barna, including refreshments, beginning at 4:30 p.m. at the cultural center's Tesla Lounge; receive a free autographed copy of "Taste of Home Best Loved Recipes;" and have reserved seating in the front of the auditorium. A limited number of VIP packages are still available, and are being sold on a first-come, first-served basis. All those attending will receive a goody bag, including Taste of Home magazines, coupons and samples. Doors to the event will open at 4:30 p.m., and ticketholders will be able to visit several area vendors who are part of the event. Tickets are available for purchase at the newspaper office at 401 Herald Square in Steubenville; the Weirton Shop 'n Save; and M&M Hardware on Sunset Boulevard in Steubenville. Kelli Olexia McCoy of Lex Multi-Media will serve as mistress of ceremonies. -- Dave Gossett


text:
The Grand County Concert Series raised the bar as high as the Continental Divide with the performance of The Lincoln Trio last Friday night at the first installment of the 2013 concert series at The Church of the Eternal Hills.
The trio's musicians - violinist Desiree Ruhstrat, cellist David Cunliffe, and pianist Marta Aznavoorian - left the audience awestruck.
The responses of the audience was, "Whew, shew, and wow." No one could express the right words to describe their talent.
The concert opened with Beethoven's Opus 11. The second piece was in two parts by modern day composer Jennifer Higdon. Titled Pale Yellow and Fiery Red, the pieces were written by the composer as an experiment.
"Can music reflect color and can color reflect music?" was her quest conveyed by Cunliffe. The Fiery Red piece brought the audience to their feet.
The last piece was by Czech composer Bedrich Smetana - Piano Trio in G minor, Op. 15. A roller coaster of emotions was expressed by Smetana in composing this piece after his daughter died of scarlet fever.
Although composed in 1855, the piece sounded modern and electric, always moving and changing tempo.
The Grand County concert was the last stop of the Trio's tour from the San Francisco and Los Angeles area before returning home to Chicago.
The Trio is an ensemble-in-residence at the Music Institute of Chicago. With a resume such as theirs - Ruhstrat has performed at the White House, Cunliffe has performed with the BBC Philharmonic and Royal Scottish Symphony Orchestras, Aznavoorian has performed at The Kennedy Center and The Sydney Opera House and all three have toured Europe and America - it was a treat to have them perform here.
As much as the audience was impressed with their music, the Trio was impressed with the beauty of Grand County.
"The most beautiful venue we have played," Cunliffe said.
"I personally love smaller venues," Aznavoorian said. "You can hear the responses of the audience. You can hear them gasping."
The Trio had an extra day staying in Fraser and were so impressed with the area, Cunliffe and Ruhstrat - husband and wife - made a stop at the realtor office to see what was for sale.
"I am so relaxed," Cunliffe told his wife.
We can only hope they will return - with their instruments.
What's next
The concert series continues on Friday, Feb. 15, with the Italian Saxophone Quartet. Log on to www.Grand-CountyConcertSeries.org for more information.


text:
I'm curious as to how games like Prelude of the chambered handle graphics. If you play for a bit you will see what I mean. It made me wonder how it works. (it is open-source so you can get the source on this page) I did find a few tutorials, but I couldn't understand some of it, though it did help with some things. However, I don't like using code that I don't understand. Does anyone know of any good tutorials for this kind of 2.5D? Any help is appreciated.
closed as off-topic by Josh Petrie♦ Jan 29 '14 at 1:05
Best tutorial on raycasting i could find when i was researching the topic a couple years back. It's pure theory, no programming. Other than that i suggest you read about the Doom engine and the Build engine. Reading the source code is IMHO far too time consuming (it's pure C and ASM, plus plenty of irrelevant technology quirks) if you just want to understand raycasting. Reading ABOUT the engines however can give you ideas on how to solve advanced issues like doors (as funny as that sounds), check the wiki first.
Here's a great code review by Fabien Sanglard: http://fabiensanglard.net/doomIphone/doomClassicRenderer.php
Here's a very detailed tutorial: Creating pseudo 3D games with HTML 5 canvas and raycasting. The key search term is "pseudo 3d game."
Also I posted the text of the tutorials scgrn mentioned. (I think I read these a long time ago. I remember the ASCII diagrams!)
There are a couple of (very) old tutorials on Wolfenstein-style raycasting written by Peroxide. Search for "pxdtut7.zip" and "pxdtut8.zip". The code is written in Pascal but the concepts are explained very well.
I'm not sure on the specifics, but I got a few ideas just by browsing through the source-code of the game @ https://github.com/skeeto/Prelude-of-the-Chambered/tree/master/src/com/mojang/escape
Maybe you can find some things there that will help you.
EDIT: I noticed you had linked to the page, but I meant to specifically link to this file: https://github.com/skeeto/Prelude-of-the-Chambered/blob/master/src/com/mojang/escape/gui/Bitmap3D.java
I'm currently following the tutorial by Lode Vandevenne: http://lodev.org/cgtutor/raycasting.html. Note that this is only part 1 (basic raycasting and textured walls). Part 2 (ceiling and floor textures) and 3 (sprites) can be found by clicking the link "Back to Index".
I think it's great. It contains everything I needed to make my own engine. The tutorial is based on C++, but the concepts are described so well that translation to any language is easy. I'm coding in Java myself.
(I'm doing the vector calculus it a little differently than Lode, however. I'm using 2-element arrays to represent vectors, and a class of static (void) methods to manipulate them, as is done in this more advanced 3D raytracing tutorial by Michael Birken: http://meatfighter.com/juggler/ (also brilliant))


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This pieced and appliquéd table runner is fun and fast. You can machine or hand appliqué the posies. A fabulous folded border accents the posies and set off the runner. So many seasonal color combinations are possible with this fresh, asymmetrical setting. This piece measures about 22"x27". Make several and you would have great placemats!
Item : CC04


text:
Enter your zip code for product availability and pickup options at your nearest store or select a store by state.
The Splash Trash Can by Guzzini is much more than a wastebasket. It's a work of art and a modern way to incorporate beautiful design into every aspect of your home or office. It's crafted using advanced technology that results in a distinctive wave effect.
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Guzzini uses only first quality, virgin plastic - they don't even use the reground plastic from their own seconds! This ensures the perfection of clarity for which Guzzini is famous. The Italian flair for design is evident in every piece made. Often, the name of the designer is shown on the products packaging - the designer is that important. Design at Guzzini doesn't take place in a vacuum where form overrides function; aesthetics and function go hand-in-hand to create objects of rare beauty and unsurpassed practicality.
Americans tend to think of plastic as an inexpensive, unglamorous material, best employed in the manufacture of cheap, disposable goods. Europeans, however, have a much higher opinion of plastic: they regard it as a medium of artistic expression. This sensibility has led them to use plastic in the production of everything from furniture to clothing. And no one produces a better acrylic plastic product than Guzzini.
Founded over a century ago by the Fratelli Guzzini (Guzzini Brothers), the company has grown steadily and carefully. The production facility in Recanati, Italy is a model of modern design: clean, light, mechanized and computerized. Cutting edge technology (often developed by Guzzini) has not resulted in displaced workers either. As jobs are eliminated by modernization, workers whose skills have become obsolete are retrained. Bottom-line considerations encouraging modernization are balanced with dedication to the extended Guzzini "family".


text:
4 fully equipped lakefront cottages, private sandy beach, canoes, kayaks, paddleboats, sailboats, cross-country skis & boots, snowshoes & ice-fishing huts all included in rentals. 10km of groomed cross-country trails at your doorstep.
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Home & Garden textbooks – for example, Kevin McCloud's 43 Principles of Home: Enjoying Life in the 21st Century. by Kevin McCloud, and The Media Design Book: Ideas and Projects for Audio, Video, and Computer Components for the Home and Office by Philip Mazzurco – are some of the most frequently updated books by publishing companies. The field of Home & Garden is constantly changing, and new editions can come yearly and at a huge cost to students who continually buy new books. So why buy when you can rent cheap textbooks? There are plenty of Home & Garden books to rent – we have them all!
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Is there any known formula for the number of compositions of an integer k (partitions with considering the order of the parts) of length m (exactly m parts) where the parts do not exceed a given integer n? Without limitation of the parts there is, of course, a well-known formula (binomial k-1 over m-1). Introducing the limitation I worked out a formula but I don´t know whether it´s already published anywhere ...
If I understand well, you consider the number $a(k,n,m)$ of multi-indices $a=(a_1,\dots,a_m)\in\{1,\dots,n\}^m$ with weight $\sum_{i=1}^m a_i=k$. This is therefore the coefficient of $x^k$ in $$\left (\sum _ {j=1}^n x^j \right)^m = x^m(1-x^n)^m (1-x)^{-m}\, .$$ Since the above generating function is the product of functions with elementary power series expansion, a formula for $a(k,n,m)$ is available as a convolution of binomial coefficients. Is this what you mean? This is certainly in any text on the subject .
Heubach and Mansour's Combinatorics of Compositions and Words (CRC 2010) call these "limited" in an exercise (copied below), although I have not found that terminology elsewhere. Part 2 suggests there is a "simple" formula for what you want.
p85, Exercise 3.12
A composition $\sigma = \sigma_1 \cdots \sigma_m$ of $n$ with $m$ parts is said to be limited if $1 \leq \sigma_i \leq n_i$ for all $i = 1, 2, \ldots, n$. [[I think that should be $1, 2, \ldots m$.]]
(1) Derive a formula for the generating function for the number of limited compositions of $n$.
(2) Using Part (1), obtain a simple formula for the case $n_i = k$ for all $i$.
(3) Prove that the number of limited compositions of $n$ is given by $F_{n+1}$ [[Fibonacci]] when $n_i = 2$ for all $i$.
I wanted more room to follow up on Douglas' comment than a comment would allow.
Douglas, I believe you're right, that everything comes down to essentially Pietro's generating function and the summation you gave in a comment there. Let me just add some other names used for the numbers that answer Fink's original question.
For maximum part $k = 2$, as in the Heubach & Mansour exercise part (3) above, there are $F_{n+1}$ (Fibonacci) limited compositions of $n$. The number with $m$ parts is $\binom{m}{n-m}$ (there are $n-m$ 2's and $2m-n$ 1's). The connection between these binomial coefficients and the Fibonacci number is often expressed as sums of diagonal entries in Pascal's triangle; proving the identity in terms of limited compositions is the basis of Benjamin & Quinn's Proofs that Really Count (MAA 2003, Identity 4).
For maximum part $k = 3$, Fibonacci numbers are replaced by "tribonacci" numbers (recurrence $a_n = a_{n-1}+a_{n-2}+a_{n-3}$) and binomial coefficients are replaced by trinomial coefficients, so not Pascal's triangle of coefficients of $(1+x)^n$ but coefficients of $(1+x+x^2)^n$, studied by Euler (see http://arXiv.org/abs/math.HO/0505425). For $k = 4$ the total number of limited compositions are given by "tetranacci" numbers (OEIS http://oeis.org/A000078) and the number with $m$ parts is given by "quadronomial" coefficients (http://oeis.org/A008287). A comment for that integer sequence describes the general result:
Here's a fast python implementation of the a(k,n,m) function you described. You can use it to check your answers as I noticed some incorrect answers in the posts above.


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- Binding: Hardcover & eBook
- Era: Cold War
- Number of Pages: 208
- Subject: Biography
- Date Available: November 2008
Clear The Decks Price*
Your tax-deductible gift to the Naval Institute Press underwrites worthy books that might not otherwise be published.
This memoir of a CIA operations officer captures the spirit of the early years of the Agency, a period sometimes described as its "finest hours." Using the name "
His next assignment is in
Stuart Methven, a graduate of


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Founded by Gogo
From the pits of Arugthar, at the twilight's peak, arise the Twilight Miners! They fight against griefers, they build marvelous cities and invent many creations! Little would they know, that a humble clan, started by one of the Twilight Miners, Gogo, would form into the greatest clan that ever existed, and soon, the Twilight Empire!
Hey there guys, this is a clan made on 7/6/12. Our mine is called, "Twilight City, or if someone is willing to have their world as the clan's meeting place that would be good." (May create new one in the future)
I will only accept you if you message me on this page or PM me.
We have a new and improved clan bank! (Thanks to LukeLuke204) Here is a link for those who want more information: http://www.kongregate.com/forums/125-block-miner/topics/302917-twilight-mining-banking-corp?page=1#posts-6425951-row
Originally posted by landon2251:
The blog is up and ready, heres the link to crew blog, Hope You Enjoy :) http://theaethertwilightcrew.blogspot.com/
• WAR Dragons
• Mining Lords
• Dragon Clan
-At least level 7 (WITH SOME exceptions, you should at least be lvl 5).
-When applying, please also tell me what achievements you qualify for (optional), and what is your level in the game as well as what pickaxe(s) you own.
- No swearing on this page
- Be kind, and fair to other members, (unless they are a troll, then I don't care).
- Have fun
Note: the numbers next to the rank indicate how much people can obtain that rank. Names in Bold, are people you should really meet.
Clan Projects:
Description: Clan projects are a new addition of this clan, where we make a world every month or so. The whole clan gets together and each contributes in the construction of whatever we want the world to be! A town, an awsome mine, what ever you want!
Worlds (part of clan projects):
100% done
100% done
4% done
100% done


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7 WTF Military Weapons You Won't Believe They Actually Built
The military industrial complex has pumped out some pretty useful stuff, thanks to the several trillion dollars we've given them over the years. But military vehicle designers get bored like everybody else, and sometimes it seems like they'll make something purely because it looks awesome.
So here are the vehicles that appear to have been based purely off of the kick-ass drawings a third grade GI Joe fan made on his Trapper Keeper.
#7. Corkscrew Tank
The Awesome
Sometimes wheels just aren't cool enough for a military vehicle. Tanks have treads, hovercraft have... hoverers and the corkscrew tank screwed. The tank basically made like James Bond and just screwed its way around Cold War-era Europe.
This fella didn't get bogged down in snow quite as easily as vehicles with tracks or tires or other non cartoon-based methods. In fact, it traveled sideways, surged over snow, ice and water, and did whatever else was necessary to please its Soviet overlords.
The Problem
A vehicle ideal for getting across bad terrain had the strange weakness of not being able to get across good terrain. The vehicle was effective at getting through snow, but if you picture it on the highway, you see the problem. So, good for navigating the frozen tundra, pretty much useless if the army goes and stands in the middle of a parking lot.
"Damnit, they found our one weakness: Anything that isn't snow."
Even in optimal conditions, the screw drive was slow as hell. And steering wasn't exactly easy since the screws couldn't be aimed from side to side, or have any suspension whatsoever. If you've ever tried to drive a really long screw perfectly straight into a hard surface, you can probably sympathize with the hopeless bastard charged with trying to screw a tank straight through miles of wilderness.
But as the following video demonstrates, none of that mattered because the tank accomplished what was apparently the primary goal of Russian tank design: knock over some fucking trees.
Stupid, lazy trees.
#6. Russian Tsar Tank
The Awesome
Another in the long line of Russia's "God help the poor bastard that gets caught directly underneath this" transport vehicles, this tough customer sadly did not operate by mowing down row after row of enemy infantry like a giant push-mower. The Russian Tsar tank was exactly what it looks like, a giant version of those silly 1890s bicycles with the oversized front tires, only with guns and armor.
And why not? Push-mower blades or not, enemy soldiers will shit at the sight of this crazy bastard coming towards them. And then, you know, step out of the way.
The Problem
The hypothetical problem with the Tsar tanks is exactly what made it awesome looking. If it had ever made it to battle, the two Ferris wheel-sized bike tires it relied on would have probably made easy targets. Russian military strategists worried about long range mortars, but it seems like a length of lead pipe in the spokes probably would have been just as fatal.
But unbelievably, there was an even more fundamental design flaw that ensured the tank literally never made it out of the testing stage. The designers were so focused on the big wheels up front that they failed to take care of business in the back. The 40-ton tank's entire back half was supported by what looked like a single stroller wheel. Basically, they had created a reverse Big Wheel.
The tank's first and only test-run started out well enough. It moved over some firm ground and, yes, splintered a tree that got in its way. But when it rolled over a patch of mud, the back wheel sunk so fast and deep that the enormous front wheels couldn't pull it out. In fact, nothing could, and it remained there in that field for the entirety of WWI. In 1923, the prototype was disassembled for scrap metal, presumably so Russian tank designers could get to work on a weaponized Hot Wheels track.
#5. Nazi Jetcopter
The Awesome
Standard helicopters are that rare Trapper Keeper doodle that actually worked. As early as ancient China, and up through Leonardo Da Vinci, history seemed to agree: Flying through the air like a giant insect with spinning-blade wings would be fucking sweet. The main hurdle was controlling the damn thing: Every time they tried to build one, the body of the air craft would spin right along with the blades.
But by WWII, the Germans had finally done it, using a second propeller to create helicopters that could safely fly from point A to point B. Hitler looked at the package of bad assery, and decided that the whole thing just wasn't quite crazy enough. And so the Nazis decided to spice things up with a bunch of ramjet engines.
Not to address the helicopter's inherent problems with steering and torque, mind you, but rather to address the problem that helicopters would look far awesomer if they had fire breathing engines strapped to the tips of their whirring sword-wings.
The Problem
Uniformed men have masturbated to this picture
The Focke-Wulf Triebfluegel, or "powered wings interceptor," used a simple two-step process to get off the ground. The pilot would pray to whichever particular deity he held dear and then fire off the ramjet engines at the end of the rotor blades. What happened next can best be demonstrated with one of those Mexican spinning fireworks. Ole!
Now imagine a version scaled up one hundred times and attached securely to the aircraft you are flying. Seems reasonable, right?
Of course strapping rockets to the blades didn't make the helicopter any easier to control. The project was scrapped when they realized that the jetcopter's design required the pilot to land it while facing the sky with the ground behind him obscured by a whirling blur of flaming metal. That's right, the idea of rocket tipped blades was so awesome that they put the jetcopter into development without ever considering how to land the damn thing.
#4. Flying Aircraft Carrier
The Awesome
Experiments with aircraft that carry other aircrafts have been going on ever since someone realized that a big blimp could carry a small plane, and that this was awesome. While the whole blimp craze didn't really catch on for some reason...
...experiments continued with more conventional aircraft. The Russians started things off with that doomed looking contraption up there in the header image, which had smaller planes hanging off of it like Christmas tree ornaments. Uncle Sam tried to get in on the action with the airship USS Akron. When that failed, the U.S. assessed the situation and decided that the name and the aircraft were not badass and ridiculous enough respectively, and launched The XF-85 Goblin.
The "XF" stands for "This plane looks like a turd."
This oddly shaped plane was dropped out of a B-36's bomb bay, presumably hoping to confuse enemy ground control when pilots reported back that "The big plane is shitting little planes."The Problem
Proving that humans and B-36 bombers aren't that different after all, it was much more difficult for the aircraft to un-shit the Goblin. The first time test pilot Ed Schoch attempted to get the plane back into the belly, the trapeze hook they were trying to snag him with smashed through his canopy, knocking him unconscious and tearing away his flight helmet. Luckily Ed woke up before an unscheduled air/ground interface, at which point he managed to land the crippled aircraft on skids, a dangerous maneuver made necessary by the fact that the Goblin was designed without landing gear. Way to think ahead guys!
Four out of the six test flights ended up with similar white-knuckled crash landings in the desert, which wasn't exactly great for attracting pilots to the program, which left Ed Schoch to fly all six missions, meaning he either had a death wish or he fucked the wrong guy's wife. Either way, we're surprised he managed to fit his balls in such a tiny aircraft.
America scrapped the idea, concluding that planes simply weren't big enough to land another plane on. Russia, being Russia, arrived at a different conclusion...
The Kalinin K-7 parked on what used to be a forest.


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Cold. Fog. Cold. Fog. Fog. Cold.
It should be said that I'm a wuss when it comes to cold weather. What else would you expect from a Californian? I'm not even sure what the low was yesterday as I followed Kurt around the low foothills, but I do know it was too cold for fingerless gloves. There was a certain point where normal considerations went out the window and I wanted the climb up Serrano Parkway to continue indefinitely-say what you want about climbing, but at least it keeps you warm.
I'm thawed out now and hope to be out again tomorrow.


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The Garden Guild Recognizes Outstanding Volunteers
2012 Volunteer of the Year - Carolyn Gandy
Since joining the Guild 17 years ago, Carolyn has been putting her skills and talents to use in all areas of the Guild and the Garden. Serving enthusiastically, Carolyn has kept busy working wherever she was needed: installing the Rainbow Garden; in the Butterfly House and the Children's Garden; serving on the Guild Advisory Committee and Hospitality Committee; helping with mail-outs; welcoming new members on the Membership Committee; Adult Education; supplying support to the Garden administration; and even building a scarecrow for the Scarecrow Trail!!! If that is not enough, Carolyn has also helped publish and promote the beautiful Guild Cookbook. One year she chaired the Annual Dinner and another year was leader for the decorations for the Garden Annual Dinner. She has been a big part of the Guild's Special Events, both with Plant Sales and Galaxy of Lights. Chairing the Guild Hospitality Committee was one of her favorites and for several years she helped decorate for the Galaxy of Lights VIP Party with wonderful centerpieces. If that is not enough, Carolyn served as Garden Guild Vice President in 2003 and President in 2004-2005. Thank you Carolyn for giving so much of yourself to the Guild and the Garden.
2012 Dot Saunder's Outstanding New Member Award - Teresa Lee
The Dot Saunder's New Member Award is given to a Guild Member who has joined within the past 2 years and recognized as an outstanding volunteer. Teresa Lee is the second recipient of this award. Teresa works hard and always has a smile to share. In the beginning as a Guild volunteer, she worked in the Children's Garden and the Butterfly House and served well in the trenches, getting down and dirty. But she is now totally committed to the Guild's Spring Plant Sale and has demonstrated strong leadership and organizational skills. Such strong leadership skills, in fact, that she served as the plant sale Co-Chairman this year and will serve as the Chairman next year. With Teresa in the lead, the Guild's 2013 Spring Plant Sales should be the best yet. Teresa, we are so glad you joined the Guild and the Garden!


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Engine Rebuild Part 3 - Upgrading The CrateWritten by on June 13, 2012 Almost dyno time! Here is part 3 in Circle Track's series of rebuilding a ruined 604 crate to go Super Street racing
Well, sort of. Except that by "green" we mean "saving a buck by tearing into a blown-up crate motor and using it as the basis for a Super Stock race engine build."
Yes, that is a mouthful, but it's the truth. And it's one of the more fun race engine builds we've undertaken. We started this project by purchasing a no-longer-running Chevrolet 604 crate engine that had been pulled after blowing a head gasket. In the first installment we machined the block and installed the rotating assembly. Last month we moved on to the cylinder heads and started on the valvetrain.
We hit a bit of a speed bump in the last installment when we discovered the 1.7 ratio rocker arms from Comp Cams caused the pushrods to contact the inside of the pushrod guideplates. This month we'll correct that little oversight and finish up the valvetrain.
It's the valvetrain, along with the lightweight rotating assembly, that should give this engine a leg up on the competition. If you remember, the idea behind this project is to reuse as many components as possible from the discarded 604 crate engine we purchased on the cheap and invest the money saved in places where we can find an advantage. Next month we'll finish buttoning up the engine and put our ideas to the test on the engine dyno.
More Photos From This Article View Slideshow
3 Guideplates are made from some seriously hard stuff. The easiest way to create the clearance needed is with a small diameter carbide burr in a die grinder, as you can see here. Make sure not to widen the guide slot any. We used a small grinding stone in a Dremel tool to clean up any rough or sharp edges left over.5 Special precautions have to be taken when using flat tappet lifters in an aggressive racing valvetrain or you run the very real risk of grinding off the nose of the cam lobes or the crown of the lifter during engine break-in. After cleaning the Comp solid lifters, we sprayed them with four coats of graphite spray and allowed it to dry.The rebuilt 604 Chevy crate engine is coming along nicely with an interesting mix of recycled and new parts. We just need to add a few finishing touches before we are ready to head to the dyno.1 We showed you this photo last month. We ran into an issue when we discovered the 3/8-inch diameter pushrods were contacting the end of the pushrod guideplates when matched with the 1.7:1 ratio Comp Cams Ultra Pro Magnum rocker arms we used on the intake valves.2 The easiest solution turned out to be simply to grind the guideplates to create a bit more clearance. We didn't need much. Since the guideplates are designed to work with larger 3/8 pushrods, the side-to-side clearance is already correct. The area to be cut is marked with a silver Sharpie.6 After the graphite spray dried, the ends of the lifters were then coated with Comp's lifter assembly lube. Besides being a good lubricant that protects the vital contact points between the cam lobes and lifters, the stuff is also thick enough so even if your engine sits for a few weeks before cranking for the first time, you know it will still be in place.7 Finally, before dropping the lifters in place, the bodies are covered with a standard assembly lube.
9 Before final assembly, the pushrod tips as well as the threads of the ARP rocker studs are given a light coat of extreme pressure lube. The lube will help protect the area between the tip of the pushrod and the pushrod cup in the rocker arm during the first few revolutions when the engine is cranked. The reason for the lube on the threads of the rocker studs is simply to keep the adjuster nut from galling to the threads after several heat cycles.10 Here's another look at the new Ultra Pro rocker arms from Comp Cams. These chrome-moly steel rockers have a unique webbed design that makes them both light and extremely strong. They are also full roller for maximum efficiency.11 Don't forget to use a spring compressor to check pistons-to-valve clearance. Check exhaust valve clearance at 10 degrees before TDC and intake valve clearance at 10 degrees after TDC. You want at least 0.060- to 0.075-inch of clearance for the exhaust and 0.050 for the intake. If it is close, set up a dial indicator on the valve to help you measure more precisely.12 We did our setup and testing with the standard adjuster nuts but these are the units being used for final assembly. They are part of a rocker stud girdle kit from Comp Cams and have been precisely ground to be centered in the girdles and keep everything properly aligned.13 We'll perform lash loops on the dyno to dial in the best lash settings for the intake and exhaust valves, but for now the lash is set to the manufacturer's specs of 0.018-inch for the intakes and 0.020 for the exhausts, which will be good for break-in.14 Comp cuts grooves into four of the adjusters for C-clips. These go on the four corners of the engine and act as a shoulder to control the installed height of the aluminum girdles.15 The girdles are solid one-piece units for maximum strength. They lock down onto the adjusters with bolts that pull the center gap closed.16 Here's another look at the rocker stud girdles. As you can see, they lock all the rocker studs together into one unit to drastically reduce flex of any individual rocker stud.
18 The rules where we plan to race this engine require a box stock Edelbrock 5001 intake manifold, which you can see here. It's no Victor Jr, but the single-plane design should still help make good power.19 All Chevrolet intake manifolds can have some tight spots around the center four bolts. Investing in some high quality fasteners with 12-point heads can make your life a lot easier when installing your intake.20 Rocker stud girdles require extra clearance. These valve covers from RHS fit well and provide plenty of clearance for the rockers. We'll just need to upgrade the breathers later.21 Street Stock racing requires either a stock or a "stock style" ignition. For Chevrolets, that means an HEI distributor. A stock HEI can be limiting with a high-compression race engine and create a miss as the rpms increase. We'll avoid that issue altogether with a high-power DUI HEI from Performance Distributors, which we've seen in previous tests take an engine capably to 8,000 rpm and beyond. Plus, Performance Distributors offers this stealth version with a plain black cap so it looks quite stock.22 Here's a closer look at the guts of the DUI unit. Performance Distributors set up the unit to match our engine specs, and included a block-off plate to eliminate the annoying vacuum advance. Also notice the use of nylon screws in the rotor. This is a nice touch to eliminate the chance of sparking inside the cap. Tune in next month for the final button up of our recycled 604.


text: In my career managing in League 2, Wrexham were able to sign 35 year old Frank Lampard on £2,900 per week. I know that had I known of Lampard's availability, there's no way £2,900 would be enough to secure his services. Could this be considered a bug in the game?


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5 Bizarre Dark Sides to Modern Orchestras
#2. There's No Money in It
Back in the day, the average orchestra was able to cover about 80 percent of its bills by showing up and letting loose some Beethoven to adoring fans. Over the past few decades, though, ticket sales have dropped to 30 percent of an orchestra's budget. By doing what they are paid to do, a bunch of musicians are only able to recoup 30 percent of the cost of existing.
The percussion section do their best with what they have, and can also make a mean casserole.
Part of this cost mismatch has to do with streamlining and modernization of music. That is, there isn't any. A Brahms symphony requires the same number of musicians and man hours as it did 100 years ago. However, the cost of doing business, from union-backed wages to trumpet lubricant, has gone up over that time.
You'd be surprised at how much lubricant an orchestra requires.
Orchestras still exist, though, which means money is coming in. The shortfall is made up with donations and endowments from the general public, charitable trusts, corporations and two bucks from the guy who sleeps on the steam grate in front of the subway. It's a patronage model similar to that practiced back at the time of Mozart, with a similar array of problems. So, in this god awful economy, it's completely unsurprising that orchestra endowments are dropping by millions each year .
"Man, busking sucks."
Financials have finally gotten bad enough that the Philadelphia Orchestra, one of the best in the country, has filed for bankruptcy after it failed to get its shit together. If you're wondering how this sort of thing filters down to those well-dressed people holding the instruments, well ...
#1. It's Kind of a Horrible Job
A survey of musicians found their job satisfaction to be worse than that of airline flight attendants and fucking prison guards. In other words, a guy sitting in a tux holding a French horn for 90 minutes is less happy with his lot in life than a police officer who runs the risk of being shanked with a sharpened toothbrush on a daily basis.
Why? Take a look at this piece of music (it doesn't matter if you can't read sheet music):
(It's DJ Jazzy Jeff & The Fresh Prince with Boom! Shake the Room.)
Notice how the top line has almost five million (approx.) as many black dots as the second line? That top bit is the soloist, who is carrying the melody while everyone else is chugging along playing long tones. There is only one soloist, thus the name. So if you're in an orchestra, you're almost certainly in that "everyone else" category, basically serving as bland background noise for the guy everyone came to hear.
It is the equivalent of data entry with a trombone slide. It's every worse for the people whose scores have the following on them:
Tank fly boss walk jam nitty gritty. You're listening to the boy from the big bad city. This is jam hot.
Tacet. That's Italian for "sit on your ass while the rest of the orchestra plays." It makes working as a security guard at a department store look like sky diving into a ravine by comparison.
The thing is, every musician starts with the expectation of doing that complicated top part -- being a soloist. Hours are spent perfecting a tone that is meant to soar across the stage like a bird from a Howitzer. In spite of this, not everyone can make it as a soloist. If they want to play at all, musicians are forced into ensemble groups, where that same tone will pitilessly drown out the melody emitting from someone more important.
"You want your wedding song to be Canon in D? Wow, no -- these are not tears of happiness."
Nothing in the musician's training has prepared him or her to be anything other than a soloist, but there's almost no chance that anyone will hear them ever again once they get into an orchestra. After all, someone needs to play the harmony, the bass line and the resounding belch during the passionate part of the fourth movement. The melody is usually left to the principal, or first chair, of a section.
And much like the Highlander, there can be only one. Sitting next to and behind that first chair is anywhere from one to 20 also-rans whose job is to get out of the way of the principal. So those decades of practice and solo training go out the window as the musician languishes away as third violin in the back row, playing downbeats for 30 minutes.
"Minutes 4 to 37 are "bar time." I hit the triangle at 38 and come back to drown myself."
That's it. Forever. There is no chance for promotion to second violin due to above average yearly music. There's no manager violin first grade, with commensurate salary increase, for good behavior. A third violin is going to stay a third violin for the rest of his or her career unless a principal moves on, retires or dies.
The musician's only other option, besides slowly poisoning the principal to death through his valve oil, is to try and find a position in another orchestra. Good fucking luck. With most orchestras cutting back their rosters of full-time musicians (remember the money thing), players are going to be in fierce and nasty competition with each other. And remember, this competition is for a place in the orchestra that isn't at the top. It's office monkeys jockeying for a longer lunch break and a cubicle slightly farther from the men's toilet.
Then there's the salary. It's possible to make a relatively legitimate salary as an orchestra player ... if you live in a major city and you're a principal player. A musician good enough to end up in the New York Philharmonic can expect to make $134,000 a year, which is an amazing salary everywhere but New York. If a musician can't cut it in one of the top symphonies, he or she can always move to San Antonio, where the average musician will make about $23,000 a year. That's about what a person could make as a secretary. And when's the last time that job made your retinas bleed?
For more really terrible gigs, check out The 5 Most Overrated Jobs Of All-Time and 6 Dream Jobs That Would Actually Suck.


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Do you need to grind flaked rye and malted rye before mashing? Didn't on my first all-grain and I'm not terribly pleased with the lack of extraction. Used the appropriate rests and extra amylase. Ran across a post that Denny did on another site that mentioned grinding malted rye. Is this always necessary?
You have to grind the malted rye to expose the endosperm for gelatinization and conversion. Flaked rye has already been gelatinized and can be added to the mash without any pre-processing.
The rye kernel is smaller than barley. I've found that it's best to tighten up your mill a bit to give a good crush.


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ARDMORE, OK - As the school year draws to a close, one Ardmore educator is being recognized for her hard work by the Association for Career and Technical Education.
Cindy Adams has been a teacher for 16 years, the last 11 of which she's spent at the Southern Oklahoma Technology Center as a medical office instructor.
Now Adams is being recognized as the OACT's Teacher of the Year out of six southern states and will go on to compete for the national teacher of the year.
Cindy Adams says in her past 11 years at SOTC, she's been instrumental in creating the Career Technology Academy at Ardmore High School and the Medical Office Assistant Program at SOTC.
"We saw that there was an increased demand in the health careers area and more of a need to train students to work in the front offices working in hospitals and doctor's offices," Adams says.
Both programs give students the opportunity to train for a real world profession and receive college credit at the same time through a partnership with Murray State College.
"The college credit that they can earn while garnering through Murray State and the alliance we have with them is exciting, and we would like to see that continue in to more of our programs," Adams says.
Adams says students also get hands-on experience through community service projects in the medical field, which makes it easier for them to get internships and jobs after their courses. High school junior Joshua Hagenbart says Adams' attention to her students has helped further his interest in the medical office profession.
"When you don't understand things, she helps you through it, and she makes sure you understand it, and she makes you interested in the topics that you study," Hagenbart says.
Adams says while it is nice to be recognized as the teacher of the year on the district, state, and regional level this year, she prefers to measure her accomplishments by the success of her students.
"My students are successful and that's how I determine my success, is to look at where are they now and if they can make it to where they intended to be or maybe even further, then my job is complete."
Adams will attend the national conference in St. Louis, Missouri, in November where the National Teacher of the Year will be announced.


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Suppose you have $n$ (blue) wires linearly arrayed at junction box $A$,
connected to a remote junction box $B$, where the wires are now
along a line in a randomly permuted order, i.e.,
each of the $n!$ permutations is equally likely at $B$.
Now you tie together every other wire at $A$ and at $B$
with a (green) connector, like this:
What is the probability that you have formed a single cycle (as illustrated)? More generally, what are the combinatorics of the cycle structures achievable in this manner? (It may be best to separate out the $n$-even case from $n$ odd.)
I came upon this thinking of the wires as an arrangement of lines, where each line crosses every other before reaching junction box $B$, in which case, for $n$ even, one necessarily arrives at $n/2$ cycles, each containing two (blue) wires. All $n$ wires in a single cycle is in some sense the obverse situation.
Update. Will Swain's argument shows, as Noam points out, that the probability of a single cycle is asymptotically $\frac{1}{\sqrt{n}}$. I would be interested to learn if there is a way to see this intuitively without Will's explicit calculation. Perhaps an assessment of the probability of repeatedly avoiding premature closing of a loop as one criss-crosses from $A$ to $B$...?


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Scholarships are designed to help patients who could not attend Conference without financial support to benefit from all that Conference has to offer.
PHA's International PH Conference and Scientific Sessions is the largest PH meeting in the world, and the 2016 International PH Conference will be no exception. An experience like no other, Conference brings together hundreds of pulmonary hypertension patients to share their concerns and triumphs, receive the most up-to-date medical information on living with PH, and network with the leading medical professionals in the PH field. It is an experience PHA believes no PH patient who is able to attend should miss.
PHA is committed to assisting as many PH patients as possible to attend this life-changing event. For the 2014 International PH Conference, the Conference Scholarship Program was able to help 350 PH patients and caregivers attend Conference who otherwise would have been unable due to financial constraints.
For PHA's 2016 International PH Conference, taking place June 17-19, 2016, in Dallas, Texas. PHA will continue this tradition by assisting as many PH patients as possible through the Conference Scholarship Fund.
Here's what two 2014 Conference Scholarships recipients told us:
"Thank you so much for providing me the opportunity to attend my first PH conference. It was a fantastic experience and I learned so much. I am looking forward to the next conference in Dallas. Thank you again for blessing me in so many ways!"
"I want to thank PHA for awarding me the scholarship. I was so wonderful to be able to attend my first PHA conference. Not going to miss one if I can help it."
"Thank you so much for providing me the opportunity to attend my first PH conference. It was a fantastic experience and I learned so much. I am looking forward to the next conference in Dallas. Thank you again for blessing me in so many ways!"
"I want to thank PHA for awarding me the scholarship. I was so wonderful to be able to attend my first PHA conference. Not going to miss one if I can help it."
Applications for a scholarship to PHA's 2016 International PH Conference will be available online November 18, 2016. To have an application mailed or faxed to you, please contact the PHA office at 301-565-3004 x763.
*If you did attend the 2014 Conference on a full scholarship, but you are currently a Support Group Leader, you are eligible to apply for registration assistance.* If you received a scholarship to any of PHA's International PH Conferences except in 2014, you are eligible to apply starting March 1, 2016 depending on funding. However, if you received a full scholarship to PHA's 2014 International PH Conference, you are ineligible to receive a scholarship in 2016.**If you are uncertain as to your eligibility, please contact PHA at 301-565-3004 x763. You may apply if unclear as to your eligibility however, an award is not guaranteed.
Questions regarding Conference Scholarships should be directed to email@example.com or 301-565-3004 x763.
Para llenar la aplicación en español, use este formulario
Sign up to receive email alerts as details about 2016 Conference registration, programming and travel are announced. Select the "Conference Alerts" option from the subscribe form linked here.
Watch PHA's 2014 Conference Highlights Video to experience the excitement and energy surrounding PHA's 2014 International Pulmonary Hypertension Conference and Scientific Sessions, which took place in Indianapolis, Ind.
View 2014 Conference Highlight Video
To support the International PH Conference and Scientific Sessions, please visit the sponsorship page.
For optimal viewing of PHAssociation.org, please use a standards-compliant browser such as Google Chrome or Firefox.
The information provided on the PHA website is provided for general information only. It is not intended as legal, medical or other professional advice, and should not be relied upon as a substitute for consultations with qualified professionals who are familiar with your individual needs. PHA does not endorse or recommend any commercial products or services.
801 Roeder Road, Ste. 1000, Silver Spring, MD 20910 Patient-to-Patient Support Line: email@example.com Privacy Policy Provide Feedback & Report Bugs
Designed by Matrix Group International, Inc.® | © 2016 Pulmonary Hypertension Association. All Rights Reserved.


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Actually, I didn't say what he smells like. So for all I know Hector could be smelling like...um...a computer. Yeah! A Computer! That's right! (Just kidding Hector!) Don't die!
P.S. I'm watching you!!! Muahaha!
...... :} <---(evil grin)
...... :} <---(evil grin)
by Your_Mom_Likes_My_Tattoo_Of_Elvis April 02, 2003
Trending Now
Top Definition
hector does not smell. if he did smell like anything it would be sexy....or video games.
Hector does not smell.
by MickeyChickey October 04, 2003
i'm hector...who are all of you...and yes i do smell like video games...perhaps sexy too
who the fuck are you people
by aim sn:Abhorhex November 18, 2003
Obviously some smelly kid no one cares about.
Hecto smells...now die.
by woopie poop April 02, 2003
I don't smell.
WTF are you guys talking about?
I do smell sexy.......and of videogames though!
WTF are you guys talking about?
I do smell sexy.......and of videogames though!
I smell like a total gamer
by asses March 26, 2005


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KILLEEN (November 29, 2012)---Calandra Monee Stanfield of Killeen was indicted Wednesday for aggravated assault with a deadly weapon in connection with an argument with her ex-girlfriend that resulted in a shooting.
The incident happened just after midnight on Nov. 11 at an apartment at 3109 Atkinson in Killeen.
According to an arrest warrant affidavit, Stanfield sent text messages to the victim and then a short time later arrived uninvited at the apartment the victim shares with another woman.
Stanfield argued with the victim's roommate and then with the victim, the affidavit said, and the two ended up fighting.
The victim's roommate, and a fourth woman who drove Stanfield to the apartment, tried to separate the pair, but as they did, Stanfield shot the victim in the abdomen with a .380 caliber handgun, the affidavit said.
Officers recovered a single .380 shell casing at the scene and later, after locating Stanfield, found a .380 caliber handgun in the back of her waistband, the affidavit said.
Stanfield initially was ordered held but was released from the Bell County jail after posting a $100,000 bond.
The victim was taken to Scott & White Hospital, treated, and later released, authorities said.