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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
How do you you solve surface area of a cube that is 2 by 2 by 2?
2x2x6=24
Each surface is 2x2 which equals 4, and there are six surfaces on the outside of a cube, so 6x4=24. Ta-dah!
What is the value of an 1938 Koningrijk?
Not enough information. Please post a new question with the coin's country of origin and denomination. The country may not be obvious, but my guess from the language is that it will be from the Netherlands.
What is the value of a Mopar 413 wedge?
There are 413's and there are 413's. Anymore info about origin?
Write a c program to find eigenvalue of a matrix?
Yes, do write. That's what you always have to do when you have got a homework-program.
When is long division not the fastest way to convert from fraction notation to decimal notation?
A calculator is faster.
If 0 divided by 0 is equal to zero then prove that 1 equal to 2?
(2 - 1) * 0 = 0
Thus 2 - 1 = 0/0 = 0
and therefore 2 = 1
How are the proofs of the fundamental theorem of algebra?
look in google if not there, look in wikipedia.
fundamental theorem of algebra and their proofs
How many zeros does infinity have in it?
Infinity isn't an actual number; it's a concept. How many seconds are there in "forever"? An infinite number. You can't count them, because they just keep getting bigger, and bigger, and bigger, and they never end.
If you had a number,
100000000000000000000, then
100000000000000000001 would be a bigger number. So would
999999999999999999999.
If you have ANY number, you can always find a bigger number. So infinity is written like a sideways 8 (∞), because it can't be written with zeros or ones or any other number you know.
How is negative two greater than zero?
The underlying supposition, namely that -2 > 0, is incorrect. 0 is a more positive quantity than -2 and would be considered "larger".
The only way that -2 would be considered "greater" than 0 is if the numbers are being evaluated for their magnitude or absolute value. Since the magnitude or absolute value of a number is the same number but with a positive sign in all cases, |-2| IS > 0 because 2 > 0.
What is the value of a 1914 dime?
As of 07/2008:
With no mint mark or a D on the back, $2-$5 depending on condition.
With an S mint mark, $2-$10.
well-worn = $1.50
lightly worn = $15.00
uncirculated = $75
How does graphing the order pairs of a relation can help decide if the relation is a function?
If a relation can be called a function, it means that the relation maps every element to one and only one other element. If you have some ordered pairs and see that, for example, 1 maps to 4 (1,4) and 1 also maps to 7 (1,7) , you don't have a function.
Does the sun have weathering and erosion?
No. Weathering and erosion refer to physical processes: frictional disintegration of solid (or mainly solid) objects due to the action of natural forces.
However, there are nuclear processes (fusion) that will alter the elements in the core of the sun from light elements to heavier elements - ending with iron.
What are the advantages of Identity matrix?
If the product of two matrices is an identity matrix then, one matrix is inverse of the other. i.e. AB = I then, A = B-1 and B = A-1
Inverse of matrix can be found by using these two results:
A = AI and A = IA.
By using these results inverse of a matrix can be found by applying same elementary row or column operation on both sides. A on R.H.S. remains as it is.
What is the value of an 1876 quarter?
$20 if very worn
$30 if moderately worn
$60 if like new, with no mint mark or an "S"
$90 if like new with a "CC" mint mark
What does a score of 52 mean on the Raven Standard Progressive Matrices?
A score of 52 means that the test taker scored HIGHER than 52 out of 100 people in the norm test group. This is well in the average range for test takers. Those that score 75+ are considered at the high range for this test (this means the taker scored HIGHER than 75+ out of 100 of the norm test group.) This test is a non-verbal intelligence test. A score of 52 means that the test taker scored HIGHER than 52 out of 100 people in the norm test group. This is well in the average range for test takers. Those that score 75+ are considered at the high range for this test (this means the taker scored HIGHER than 75+ out of 100 of the norm test group.) This test is a non-verbal intelligence test.
