What is Abstract: Definition and 532 Discussions

Abstract expressionism is a post–World War II art movement in American painting, developed in New York City in the 1940s. It was the first specifically American movement to achieve international influence and put New York at the center of the Western art world, a role formerly filled by Paris. Although the term "abstract expressionism" was first applied to American art in 1946 by the art critic Robert Coates, it had been first used in Germany in 1919 in the magazine Der Sturm, regarding German Expressionism. In the United States, Alfred Barr was the first to use this term in 1929 in relation to works by Wassily Kandinsky.

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  1. T

    Abstract Algebra - Compositions

    Hello. I was reading a journal and an interesting problem came up. I believe the journal was in the American Mathematics Society publications. Well, here's the statement. "For all integers, n greater than or equal to 3, the number of compositions of n into relatively prime parts is a...
  2. C

    Abstract algebra proof: composition of mappings

    define right-inverse of a mapping B to be mapping A, such that B * A= identity (iota). Where the operation * is composition. Note that B is A's left-inverse. QUESTION: Assume S is a nonempty set and that A is an element of M(S) -the set of all mappings S->S. a) Prove A has a left...
  3. F

    Understanding Abstract Physics: Gauge Functions & Properties of EM Fields

    physics, abstract... i am very confused about what the following abstract says: The main purposes of this paper are (i) to illustrate explicitly by a number of examples the gauge functions chi(x, t) whose spatial and temporal derivatives transform one set of electromagnetic potentials into...
  4. A

    Analysis or Abstract Algebra: Which is More Interesting and Worthwhile?

    This coming fall semester, I have a choice between taking Analysis and Abstract Algebra. Unfortunatly, I'm having a great deal of trouble deciding which to take. Both seem interesting (though Algebra more so). On the other hand, Analysis would open more options for spring semester (in...
  5. G

    How Does the Equation hbar=e^2/e0c Relate to Fundamental Physical Constants?

    Abstract: hbar=e^2/e0c hbar=[1.6021765(31) x 10^-19 A-s]^2/[8.854187817... x 10^-12 A^2-s^4/kg-m^3-sr][2.99792458 x 10^8 m/s] hbar=[2.5669696(36) x 10^-38 A^2-s^2]/[2.6544187(29) x 10^-3 A^2-s^3/kg-m^2-sr] hbar=[9.6705527(59) x 10^-36 kg-m^2-sr/s] Introduction: Planck constant: h =...
  6. I

    Linear and Abstract Algebra textbooks

    I need some recommendations for a good linear algebra textbook, something that's actually used in schools. I've finished linear 1 and 2 and I'm doing some preparation during the summer.
  7. B

    If you just don't like abstract art then don't look at it.

    Here is one of my pictures. I make these in Paint. I chose this one because it's pretty good, but not so good I'd feel funny about sharing it. If you just don't like abstract art then don't look at it.
  8. Z

    How to write the abstract for a paper

    This and your other posts here are good info. Thanks.
  9. V

    Abstract Algebra: Groups of order 21

    I was given a problem to prove there are at most 3 groups of order 21, with extra credit for proving there are at most 2. I am pretty stuck on this one but here is what I have so far: Suppose G is a group of order 21 Let K be a sylow 3-subgroup of G and let H be a sylow 7-subgroup of G...
  10. V

    Abstract algebra problem concern

    My prof. assigned this problem as the only one for HW a few days back, and for some reason the answer seems too obvious. What subtleties could I possibly be missing? Let G be a group of permutations in a set S. If x, y \in S and y \in orb_g(x), then orb_g(y) = orb_g(x) Still, I am...
  11. Oxymoron

    Determining Quotient Group (\mathbb{Z}_2\times\mathbb{Z}_4)/\langle(1,2)\rangle

    Question 1 Determine the quotient group (\mathbb{Z}_2\times\mathbb{Z}_4)/\langle(1,2)\rangle Answer \langle(1,2)\rangle is a cyclic subgroup H of \mathbb{Z}_2\times\mathbb{Z}_4 generated by (1,2). Thus H=\{(0,0),(1,2)\} Since \mathbb{Z}_2\times\mathbb{Z}_4 has 2.4 = 8 elements, and...
  12. G

    The ability to visualize abstract concepts

    Salutations everyone, Thank you everyone in this community for taking the time to read my message. I am a third grade teacher in Moreno Valley, California USA. It is my conjecture as a third grade teacher that the encoding during reading in constructing meaning from words is similar to the...
  13. V

    Abstract Algebra - Centralizers

    I was given this problem to work out but I'm still a little bad when it comes to proofs, but here's the question. I have given it a little thought but I can't seem to prove what I feel is the correct answer without brute forcing the answer in such an ugly way. Let G = S_7, where S_7 is the...
  14. V

    What about How to Prove Aut(G) is a Group?

    This should probably be posted in the math forums but I guess it would fall under here because it's a HW question due late tomorrow. If G is a group, prove that Aut(G) and Inn(G) are groups, where Aut(G) is the set of automorphisms of G and Inn(G) is the set of inner automorphisms of G For...
  15. T

    Can All Subgroup Permutations in S_n Be Even or Half Even?

    Hello, I am a student at CMU, enrolled in the Abstract Algebra class. I'm having trouble with a few problems, see if you can figure them out. Show that for every subgroup $J$ of $S_n|n\geq 2$, where $S$ is the symmetric group, either all or exactly half of the permutations in $J$ are...
  16. M

    Abstract reasoning, a way i look at it

    I Do a web search on 'abstract art' and browse around at the paintings... It's a great way to get a feel for the word 'abstract'. It's easy to know a definition, it is harder to gain experience of a concept. When i look at a variety of paintings and really 'understand' what the word abstract...
  17. E

    Abstract Reasoning: What Is It & How To Use It

    what is the abstract reasoning and how to use it?
  18. honestrosewater

    Definitions wanted: Abstract and Concrete

    Pretty straightforward, right? I want some definitions for "abstract" and "concrete". If anyone is interested in doing some reading, here are some links: 1, 2, 3, 4, 5(PDF), http://64.233.187.104/search?q=cache:AUWz3yToePIJ:www.hcrc.ed.ac.uk/cogsci2001/pdf-files/1106.pdf . I see a connection...
  19. K

    Abstract Algebra book suggestions

    I'm having trouble finding any good books and sites from which i can learn abstract algebra. Does anyone have any good suggestions so that i can learn the course? please include prices if possible
  20. C

    Interface is even more abstract then an abstract class

    Hello all I know an interface is even more abstract then an abstract class. Let's say I want to make an interface called Furniture that implements two class called Chair and Table. What does this exactly mean? Can someone please clarify this? Thanks public interface Furniture { int...
  21. S

    Is G a Cyclic Group of Prime Order?

    let G be a non-trivial group whose only supgroups are {e} and G. Show that G is cyclic of prime order. ok...so basically, it is asking I need show that it is cyclic that has an order that is only divisible by 1 and itself right? I don't know how to approace this, but I know the...
  22. R

    Need Help with Abstract Algebra Please

    My question is regarding abstract algebra. Suppost that B is a 10-cycle. For which integers i between 2 and 10 is B^(i) also a 10-cycle? I know that the answer is 3, 7, and 9 I just don't know how you arrive at these numbers. If...
  23. J

    The Purest form of Abstract thought

    Hi ppl, Could someone please tell me who's quote this is: "Mathematics is the purest form of abstract thought"?
  24. O

    Is SL(2,Z3) the Only Group with 24 Elements?

    i have a question about elements in SL(2,Z3), a,b,c,d are intergers and ad-bc=1 or Det [A]=1. i have to write all the matrices of this group and prove that I do have all of them. i know that only 3 elements exists in Z3 {[0],[1],[2]} with all others just being repeats. i.e. [-3]=0, [[4]=[1]...
  25. C

    Frustrating step in a proof - basic abstract algebra

    Frustrating step in a proof -- basic abstract algebra Hello all, I am trying to work on a proof related to information theory, and I have gotten stuck. I am nearly 100% this is true, but it might not be . . . and I am having trouble coming up with a proo for it in any case! ---------- M...
  26. N

    Encyclopedia of Abstract Terms

    Hello all. I'm currently putting together a book called Encyclopedia of Abstract Terms. I was wondering if you could provide me with abstract words from philosophy that you believe need (better) definition.
  27. A

    Looking for a good abstract book

    Hi, I was just hoping for some suggestions for a good book to learn abstract algebra with. Specifically, I'd like a book with a lot of real-world references, or practical application problems. Consider me a beginner. I've actually already taken abstract (just finished it this past semester)...
  28. K

    Abstract explosion modelling - how to?

    I want to model an extremely simplified explosion in a little program I have. All I want to do is accurately model the movement of a single object affected by this explosion in a void. Here's how I'm thinking about things so far. I'd appreciate it if people could tell me whether I'm on the...
  29. G

    Why can humans think abstractly while other creatures can't?

    Abstract thinking led man to believe in god. i don't believe this development follows normal evolution. why has no other creature on Earth established this ability? Man's thinking capabilities changed the ways of evolution. Darwin's "fittest" changed dimensions entirely. We now, instead of...
  30. S

    What is Abstract Algebra and why is it important?

    I downloaded that book from the physics Napster. It looks like something I should be able to handle, but I need help understanding some of the notation. "Any set called an index set is assumed to be non-void. Suppose T is an index set and for each t within T, At is a set. [inter] At =...
  31. H

    What is the Difference Between Matrix Notation and Abstract Matrix Notation?

    I've been doing some computational methods work, using matrix notation. I was just wondering what the difference is between matrix notation and abstract matrix notation? thanks
  32. L

    What is Linear and Abstract Analysis and How Are They Applied in Science?

    Next year I have the option of studying these two courses. What are they about, and what are they used for? Has anybody taken courses in these, and if so, what did you think of them?
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