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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 solve the problem 7 to the 4th power?
7x7x7x7
49x7x7
49x49
8
49
49
441
1960
2401 so 7 to the fourth power is 2401
What is the value of a Steven 22410?
$999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999.2
What is a solution to this inequality 4x-518?
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. Please resubmit your question spelling out the symbols as "plus", "minus", "times".
4x - 518 is not an inequality.
How is a relation between two sets defined?
A relation between two sets is defined to be any subset of the two set's Cartesian product.
See related links for more information and an example.
What is meant by space vector modulation?
Space-vector (pulse width) modulation technique is a PWM technique for three-phase voltage-source inverters.
Read the white paper I linked below, or the app note that I also linked below.
Interested in the real nitty gritty? Try the PhD Thesis that I linked below.
What are the axioms of similarity?
Similarity is
- reflexive: x is similar to x
- symmetric: if x is similar to y then y is similar to x.
- transitive: if x is similar to y and y is similar to z then x is similar to z.
'not' for instance is a unary operator. It is unary in the sense that it operates on a single item. In contrast a binary operator such as addition operates on two items.
How do you solve 3 multiplied by x plus 4 in a parentheses plus x?
21
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Answer 2(3x + 4) + x = yAssuming x = zero, then y = 4
Assuming x = 1, then y = 8
Assuming x = 2, then y = 12
What is the example of the exam in coast guard?
An example of an exam in the Coast Guard is the Coast Guard Entrance Exam, which assesses candidates' aptitude in areas such as mathematics, reading comprehension, and mechanical reasoning. Additionally, candidates may take the ASVAB (Armed Services Vocational Aptitude Battery) to evaluate their skills and suitability for various roles within the Coast Guard. The exams help determine eligibility for enlistment and specialization in specific job fields.
I purchased a twelve gauge Habicht at a gun show in Tulsa Oklahoma 15 years ago for $350 And have put it through the paces of Dove and Quail hunting every year since. The last one I saw listed was for $699 but it was a 16 gauge.
Whats the dollar value of a Stevens arms model 305 side by side shotgun?
$150-$250, depending on gauge and condition.
What is the difference between the ring the field and the group in abstract algebra?
A Group is the simplest of these algebraic structures. It is a set, G, of elements (numbers) with a binary operation (addition) that combines any two elements such that the following four axioms are satisfied:
- Closure: if x and y belong to G then x + y belongs to G.
- Associativity: if x, y and z belong to G then (x + y) + z = x + (y + z) and so either can be written as x + y + z without ambiguity.
- Identity: there is an element, 0, in G such that x + 0 = 0 + x = x for all x in G.
- Invertibility: for any element x in G, there is an element -x such that x + -x = -x + x = 0.
A Ring, R, is an Abelian group which has a second binary operation (multiplication) that is defined on its elements. This second operation is distributive over the first.
- Abelian: for all x and y in R, x + y = y + x (also known as commutativity).
- Distributive: for all x, y and z in R, x*(y + z) = x*y + x*z.
A Field is a Ring over which division - by non-zero numbers - is defined.
556*34
first do this step
556
34
because there are no hun
