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Abstract Algebra

Have you ever wondered what would happen if you redefined some of the basic rules of algebra so that concepts you took for granted, like AB = BA, no longer apply? Abstract algebra does just that through the study of the properties that define algebraic structures. Post all questions about fields, rings, group theory, vector spaces, and the axioms that define them into this category.

1,849 Questions

What is the Value of a 1952 Dollar?

The U.S. did not make any $1 bills or coins with that date.

Please check again and post a new question.

What is the value a santafe model 1949?

Can't be answered without knowing who made it, all markings, box, papers, accessories, caliber/gauge, long gun or hand gun, finish, condition, etc..

Can an axiom be proved?

No, axioms are the starting rules that you use to prove everything else, ie they are assumed truths.

What is the solution for x 3?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question.

Is q plus 2p reflexive?

Not in general.

Not in general.

Not in general.

Not in general.

What is the value of a colt 25?

Need to know condition, finish, and type of grips. Also if original box and manual are present.

Prove that a group of order three is abelian?

By LaGrange's Thm., the order of an element of a group must divide the order of the group. Since 3 is prime, up to isomorphism, the only group of order three is {1,x,x^2} where x^3=1. Note that this is a finite cyclic group. Since all cyclic groups are abelian, because they can be modeled by addition mod an integer, the group of order 3 is abelian.

What math equation did sonya kovalskaya figure out?

She did not figure out a particular equation but found the set of conditions under which solutions to a class of partial differential equations would exist. This is now known as the Cauchy-Kovalevskaya Theorem.

What are the new inventions related in mathematics?

0/0 = 0

100-100/100-100 = 0

=10 square -10 square/10 square - 10 square = 2

by a square and b square formula

(10+10) (10-10)/ 10 common (10-10) =2 (10-10) cancel

= 10+10/10 =2

=20/10

=2 answer

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How many days are in 6 million seconds?

There are 69.4444444 days in 6 million seconds, which is 69 days, 10 hours and 40 minutes.

What is the value of an 1801 dime?

These are extremely rare as they only made 34,640 of them. A well worn sample could still bring $300-$400, and a relatively unworn one into the multiple thousands.

What is the square root of 48x-cubed?

sqrt(48x cubed) = 332.6*x*sqrt(x), approx.

What is harmitian matrix?

Hermitian matrix (please note spelling): a square matrix with complex elements that is equal to its conjugate transpose.

What is pseudo vector?

A psuedovector is a vector that transform in a proper rotation, but in three dimensions it gains an additional sign flip because of an improper rotation.

Is foundations algebra the same as algebra 1?

foundations algebra is probably pre algebra, which is before algebra, so no.

1944 quarter value?

It's a common date Washington quarter, most are only valued for the silver, about $7.75 as of 9-4-11.

What is the value of a 1906 colt 45 revolver?

Value depends on exact configuration, overall condition, box, manual, accessories, etc.. Value range could be from 10USD to multiple thousands of USD.

What is the origin of the word 'samurai'?

The English word samurai was directly transferred from the Japanese word samurai in 1727.

What is an example of an advocacy group?

Other major nonprofit advocacy groups include the environmental organization Green-peace, Mothers against Drunk Driving, and the National Rifle Association.

How many components of strassen's matrix multiplication?

While Strassen's original algorithm required 18 quadrant additions and 7 quadrant multiplications, for our work we use the Winograd variation which requires the minimum number of quadrant additions, i.e. 15.

What is the value of a n 1866 rifle?

Not much if it is a rusted old off-brand clunker. If it is a model 1866 Winchester in good shape, it could be worth a lot. You need to have a dealer look at it and give you an estimate. FYI, the last of the Winchester 1886s was manufactured in 1899.