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How can I show that if where each is a simple ideal of L and L is a Lie-algebra over the field C, then L is semisimple?
(I tried messing out with this maximal sovable ideal, but without any success...)
Hope you'll be able to help me
Thanks
Started by WannaBE on
, 7 posts
by 2 people.
Answer Snippets (Read the full thread at artofproblemsolving):
I hope you'll be able to explain....
algebra is semisimple if and if it has no non-zero abelian ideals (look at the last non-zero term) Lie algebra is semisimple if and if it has no non-zero abelian ideals (look at the last non-zero term of L.
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I have a Linear/Matrix Algebra midterm exam on Tuesday and am looking for problems that require only the following "higher math" concepts (can obviously need more elementary stuff, just not more higher mathematics):
Complex numbers
Definition of Vector...
Started by BigSams on
, 6 posts
by 3 people.
Answer Snippets (Read the full thread at artofproblemsolving):
Darij,....
Unfortunately, it does not separate the easy algebra (that works over arbitrary fields or even rings) with peculiarities of real and complex contests (not olympiads) look tame.
And Theorems in Linear Algebra has LOTS of problems.
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Hi,
Can someone here help me with a problem I'm having with the Newton-polygon algorithm for computing Puiseux series of algebraic curves? I can follow the algorithm when the Newton polygon is not along the axes but for example, when I have the simple...
Started by jaxthefax on
, 7 posts
by 2 people.
Answer Snippets (Read the full thread at artofproblemsolving):
This gives you slope and power (usual Taylor....
So, in your case, you should switch to first to get the equation
i.e.,
giving the points .
The Newton polygon method for expressing as a series in fractional powers of works if is a solution of the equation .
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I'm trying to fully understand all of Haskell's concepts.
In what ways are algebraic data types similar to generic types, e.g., in C# and Java? And how are they different? What's so algebraic about them anyway?
I'm familiar with universal algebra and ...
Started by Mark Cidade on
, 8 posts
by 8 people.
Answer Snippets (Read the full thread at stackoverflow):
An algebra which has neither from the initial algebra....
This is sometimes called "confusion".
algebra an algebra consists of some sets of elements (think of each set as the set of values of a type be equal to the empty list.
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Several of my peers have mentioned that "linear algebra" is very important when studying algorithms. I've studied a variety of algorithms and taken a few linear algebra courses and I don't see the connection. So how is linear algebra used in algorithms...
Started by MrDatabase on
, 9 posts
by 9 people.
Answer Snippets (Read the full thread at stackoverflow):
Most search engines are based on linear algebra modern compression algorithms such as the one used by ....
Three concrete examples:
Linear algebra is the fundament for modern 3d graphics in a 2d surface, which is what you see on your screen.
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A 'web designer' (and high school dropout) friend is now learning programming, but having a hard time because he doesn't know Algebra/Geometry too well and all the examples mentioned in almost programming books involves math.
Are there any good Algebra...
Started by Nimbuz on
, 5 posts
by 5 people.
Answer Snippets (Read the full thread at superuser):
No calculus!
One of the best elementary algebra book out there is Elementary Algebra.
The Math Forum content referred by nik is good reasonable .
There is a good introductory geometry and intermediate algebra .
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The title says it all basically, I'm looking for books and resource to teach myself linear algebra to be used in 3D graphics programming. I prefer practical approaches to teaching over theoretical (even though math is what, 99.99% theory?) ones, so the...
Started by thr on
, 7 posts
by 7 people.
Answer Snippets (Read the full thread at stackoverflow):
If you ask a mathematician....
:)
Although not intended to teach linear algebra the book " tricks algebra is applied.
May be too general for your very specific interests, but it's free .
MIT OpenCourseWare offers a free course in Linear Algebra.
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I got really confused every time when i encounterd bit operations,especially those shifts,rotates,overflow things etc.I wonder if there's any book/article on the web introducing boolean algebra,which could give me a solid background of boolean algebra...
Started by yfel on
, 6 posts
by 6 people.
Answer Snippets (Read the full thread at stackoverflow):
Covered everything from boolean algebra up.
Wiki articles:
Boolean algebra (introduction )
Boolean algebra (logic)
Boolean logic
At university we used a book called Introduction to Logic Design.
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I'm looking for some online game, where it tests our ability in boolean algebra. My cousin is young and has just learnt using logic gates. Is there any thing interesting available out there for him to practice online?
Started by Anirudh Goel on
, 4 posts
by 4 people.
Answer Snippets (Read the full thread at stackoverflow):
If you're looking.
That's if you want him to really know Boolean algebra.
Some of the exercises.
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I would like to use Python to generate my own algebra to pre-calculus worksheets to print and use. The purpose is to teach kids how to practice algebra. What is the best way generate the expressions?
Update:
I am planning to use Latex to generate nicely...
Started by John Lamber on
, 5 posts
by 5 people.
Answer Snippets (Read the full thread at stackoverflow):
There are a few python libraries for this, but it's just text so generating it shouldn... .
If you want to generate nice looking typeset equations, you should probably output LaTeX code, which can then be compiled into pdf, dvi, postscript, or what have you .
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