Owner: The New Math URL:http://www.thenewmath.com/ Join Date: Wed, 11 Apr 2007 17:08:22 -0500 Rating:0 Site Description: The New Math : latest mathematics and general sciences. Site statistics:Click here
On weak maps between 2-groups. [arXiv:math/0506313v2 UPDATED] 2007-04-11 04:21:39 We give an explicit handy (and cocycle-free) description of the groupoid of
weak maps between two crossed-modules using what we call a {em papillon};
Theorem 8.3. We define composition of papillons and this way find a bicategory
that is naturally biequivalent to the 2-category of pointed homotopy 2-types.
This has applications in the the study of 2-group actions (say, on stacks).
Notes on 2-groupoids, 2-groups and crossed-modules. [arXiv:math/0512106v2 UPDATED] 2007-04-11 04:21:39 This paper contains some basic results on 2-groupoids, with special emphasis
on computing derived mapping 2-groupoids between 2-groupoids and proving their
invariance under strictification. Some of the results proven here are
presumably folklore (but do not appear in the literature to the author's
knowledge) and some of the results seem to be new. The main technical tool used
throughout the paper is the Quillen model structure on the category of
2-groupoids introduced by Moerdijk and Svensson.
Read more:Notes
Saunders Mac Lane 2007-04-11 03:49:56 Saunders Mac Lane was born in 1909 in San Francisco, California. He was actually the co-founder of the category theory with Samuel Eilenberg. Saunders earned a BA from Yale University in 1930 and a MA from the University of Chicago, while attending the University he published his first paper in the category of physics with Irving Langmuir. After graduation from about 1934 to 1938, he held an appointment at Harvard University, Cornell University and University of Chicago. He then held a brief tenure at Harvard from 1938 to 1947 and after that he spent the rest of his career at the University of Chicago.
Saunders Mac Lane also held the job of Vice President of the National Academy of Sciences and the American Philosophical Society and as President of the Mathematical Association of America in the 1950’s. Mac Lane had a great career but it was his contributions that made him a stand out in the Math community.
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The New Math 2007-04-09 19:06:12 Tom Lehrer wrote a satirical song named New Math which centered around the process of subtracting 173 from 342 in decimal and octal.
The song is in the style of a lecture about the general concept of subtraction in arbitrary number systems, illustrated by two simple calculations, and highlights the emphasis on insight and abstract concepts of the New Math approach. Summing up his opinion of New Math is the final sentence from his introductory remarks to the song:
“…in the new approach, as you know, the important thing is to understand what you’re doing, rather than to get the right answer.”
(more…)
Math model : Explaining the nanostructure of collagen fibrils 2007-04-09 17:24:56 Collagen is a protein material with superior mechanical properties. It consists of collagen fibrils composed of a staggered array of ultra-long tropocollagen (TC) molecules. Theoretical and molecular model
ing suggests that this natural design of collagen fibrils maximizes the strength and provides large energy dissipation during deformation, thus creating a tough and robust material.
The molecular model of collagen developed by Markus Buehler, an assistant professor in the Department of Civil and Environmental Engineering, explains for the first time the distinctive structure of collagen, a material key to healthy human bone, muscles and other tissues. The new model shows collagen’s structure from the atomic to the tissue scale.
An improved understanding of nature’s most abundant protein could aid the search for cures to such ailments as osteoporosis, joint hyperextensibility and scurvy, all recognized as arising from diseased collagen. It could also guide engineers’
Mathematicians Map E8 2007-04-09 01:35:02 E8 is first of all the largest exceptional root system, which is a set of vectors in an 8-dimensional real vector space satisfying certain properties. Root systems were classified by Wilhelm Killing in the 1890s. He found 4 infinite classes of Lie algebras, labelled An, Bn, Cn, and Dn, where n=1,2,3…. He also found 5 more exceptional ones: G2, F4, E6, E7, and E8. it is the name of an exceptional simple Lie algebra as well as that of the associated simple Lie groups. It is also the name given to the corresponding root system, root lattice, and Wey/Coxeter group.
(more…)
Mathematics Department Scholarships 2007-04-09 01:12:53 Okay, here is some useful sites offering scholarships.
Scholarships
in Math due April 24, 2007
Rich Scholarship
The Dr. Barnett and Jean Hollander Rich Mathematics Scholarships, currently in the amount of $5,000 each, are awarded annually to talented and needy graduates and undergraduates who have demonstrated superior ability in mathematics and who are preparing for careers in mathematics or math related fields. Applications will be available here in the spring semester of each academic year.
Harry Schwartz Fellowships
The Harry Schwartz Fellowships, in amounts up to $4,000, are awarded annually to Mathematics Majors who show promise in the study of Mathematics. Nomination for the award is by faculty. (more…) Read more:Department
A generalization of Chebyshev polynomials and non rooted posets. [arXiv:0704.0685v2] 2007-04-08 16:32:41 In this paper we give a generalization of Chebyshev polynomials and using
this we describe the M"obius function of the generalized subword order from a
poset {a1,...as,c |ai<c}, which contains an affirmative answer for the
conjecture by Bj"orner, Sagan, Vatter.[5,10]
Generation of mutually unbiased bases as powers of a unitary matrix in 2-power dimensions. [arXiv:math/0703333v2 UPDATED] 2007-04-06 07:56:32 Let q be a power
of 2. We show by representation theory that there exists a q
x q unitary matrix of multiplicative order q+1 whose powers generate q+1
pairwise mutually unbiased base in C^q. When q is a power of an odd prime,
there is a q x q unitary matrix of multiplicative order q+1 whose first (q+1)/2
powers generate (q+1)/2 pairwise mutually unbiased bases
. We also show how the
existence of these matrices implies the existence of a special type of
orthogonal decomposition with respect to the Killing form of the special linear
and symplectic Lie algebras.
Read more:Generation
Birthday trick 2007-04-12 02:38:41 Guessing numbers like birthday date is one of the most popular and old math trick yet still amazed some people. Now I am going to show you how to do the trick. Here is the steps :
1. First of all ask your friends to think of their birthday. Tell them to think of the month in numbers (Jan is 1 and August is 8, for examples).
2. Ask them to multiply the month number by 5.
3. Then add the result by 6.
4. Multiply again by 4.
5. Now add 9 to the last result.
6. Multiply this total by 5 once again. (more…) Read more:Birthday
Getting to know 666 - The Number of The Beast 2007-04-14 08:57:37 The number 666 has long been respected as an object of dark mystery; it is well-known as the Number
of the Beast
as described the Book of the Revelation :
Here is wisdom. Let him that hath understanding count the number of the beast: for it is the number of a man; and his number is Six hundred threescore and six.
Book of Revelation 13:18. From the King James translation
Today we’re not going to look over the apocalypticism, prophecy, mysticism, nor the numerology properties of 666, we’re going to see that mathematically, 666 is a fascinating number!
The sum of the first 36 natural numbers is 666 (1 + 2 + 3 + … + 34 + 35 + 36 = 666)
666 is the sum of the squares of the first seven prime numbers (22 + 32 + 52 + 72 + 112 + 132 + 172 = 666).
666 = 16 - 26 + 36
It is equal to the sum of its digits plus the cubes of its digits:
666 = 6 + 6 + 6 + 6³ + 6³ + 6³.
666 is related to (6² + n²) in the following interesting ways:666 = (6 + 6 + 6) · (6² + 1²)
666
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Sport Tickets Here! 2007-11-22 10:54:47 UK is the kingdom of sports. Many famous sports even are hold in UK, like Formula One, Golf, and Tennis. To get the sport tickets with special rate, you can go to www.viagogo.co.uk. Viagogo is the most complete website to find UK online tickets, include sport tickets. You can find Formula 1 tickets like British [...] Read more:Tickets
Enjoy Some Fun in the Sun 2007-10-16 15:15:33 It’s hard not to have a good time when you’re staying in a luxury Caribbean villa, but it’s even harder if you’re enjoying one of the St. Martin villas, Tortola villas or Barbados villas from CVOA. With great views, pristine beaches, and all the comforts of home, I know you’ll enjoy your vacation in any [...]
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, Home Improvement
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Photo throws for eveyone 2007-09-10 11:58:53 This is post for you who like picture and much more for you who like and use to shoot photo. There is something to do to memorize your taken photos, unlike conventional framed photos, why don’t you make it as an amazing Photo
Throws.
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Using professional movers 2007-08-28 15:32:59 People who get to move usually get stress because they must prepare many things in the new place, such as find the new house, find the new school for their children, open the new bank account, apply new driving license. Those kinds of things are really wasting time and exhausting.
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It’s Time for Moving! 2007-08-27 12:36:49 Moving to new home is really a great experience. New atmosphere, new friends, and new surrounding are small example of factors why moving to new home is exciting. However, moving can be really such a nightmare if it is not well managed. Relocating all the goods from old home to the new home is really [...] Read more:Moving
Don’t Spend Time Worrying About Your Inventory - Get Help. 2007-08-20 22:22:56 With too many order management systems available, it’s hard to know which one is right for your company. F. Curtis Barry & Company has been working in warehouse consulting for over 20 years, and they understand your apprehension.
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Narconon Vista Bay 2007-08-20 22:02:37 Drugs and alcohol addiction are the serious problem encountered by people in USA. According to research conducted by USA Today/HBO addiction poll in 2006, there are about 20% of national adults indicated that they had an immediate family member who has had an addiction to drugs or alcohol. This situation is really sad considering that [...] Read more:Narconon
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By getting a part-time job in the area you’re interested in, you can learn skills and lessons that homework assignments and textbooks won’t teach you. Plus, part-time jobs make great student jobs [...]
Saint George International Learning Center 2007-07-25 15:54:01 Language is the proof of human’s intellectual. Learning
languages at SaintGeorgeInternational
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Math is no longer scary and boring 2007-07-04 11:07:14 Traditional learning is often boring
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Destum Partners : Life Sciences consulting and advisory services 2007-06-21 22:15:21 Destum Partners
is a consulting and advisory company for the Life Science Industry. It provides recent modern technology to make an analytic service and advisory service. Their services include primary research, market analytics, strategic partnering, divestitures, and finally acquisition.
Destum Partners stated that they will begin every project by conducting a thorough market and competitive [. Read more:Sciences
Pi : a dessert that half of its height is 1.57 2007-06-18 13:03:01 Quite an old joke I heard from one TV serial long time ago (I forgot what’s the title though) :
Q : What is a dessert that half of its height is 1.57
A : A piece of pi(e).
lol… quite funny isn’t.
Well, we all know, perhaps since we’re at elementary school, that Pi or π is [...]
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