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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 many types theory of selling?
following are the theories of selling1) AIDAS2) right set of circumstances3) Buying formula4) Behavioral equation
What is seven and seven thousandths in standard form?
Seven and seven thousandths in standard form is 7.007 × 100
Value of an 1876 Victor no 3 revolver?
H&R Arms Co. produced and marketed a line of single action, spur trigger, rimfire revolvers in the 1870's. Victor is one of the names used for "hardware store/catalogue" guns. In excellent condtion a #3 would be worth close to $300 to a collector - it would be a 5 shot .38 Rimfire. Most Victors seen are #2s which are 6 shot .32 Rimfire...check the stamping on the top strap with a magnifying glass to make sure that the 3 is not actually a deeply stamped 2 (a common problem).
cyclic voltametery is analytical method to study about the redox reaction of a compound of chemical species which i have red in my books.... It's very useful in electrochemical field as an important tool for studies and research.....
What are order pairs that are not function?
Think of the x and y as questions and answers. If you repeat a question you should get the same answer. If you don't then it is not a function.
(2,3),(2,4) is not a function.
(2,3),(2,3) is a function.
How is algebra used in banking?
You use it to find how long it takes to double or triple the amount you put in with rate and time. It's in Algebra 2.
What is the value of a 1863 Italian 10 centesimi?
Many of the coins are valued in price close to $20 each. The exact amount will vary depending upon the coin's condition.
What is the slope of the line passin' through 1 2?
Another coordinate is needed to work out the slope.
What is the process of the rule in math?
There are many laws and theorems and rules in mathematics. If you are looking for "the rule" then it must be the measuring rule or straight edge. The correct process for using it is as follows:
Take the rule and hold it alongside the object that you wish to measure. Make sure that the 0 of the rule is in line with the end of the object when you are looking at it at right angles. Move to the other end of the object that you wish to measure. Again look at it at right angles and read off the value shown on the rule at the point where the object ends. That value is the length of the object in the units in which the rule is marked.
How do you remove duplicate rows from a matrix using C language?
Sort the rows; the duplicates will then be grouped together. Scan from the top row; if the next row is a duplicate of the current row, remove it. If the next row is not a duplicate, make it the current row. Repeat until there is no next row. When complete, all the duplicates will have been removed.
Cayley's theorem:Let (G,$) be a group. For each g Є G, let Jg be a permutation of G such that
Jg(x) = g$x
J, then, is a function from g to Jg, J: g --> Jg and is an isomorphism from (G,$) onto a permutation group on G.
Proof:We already know, from another established theorem that I'm not going to prove here, that an element invertible for an associative composition is cancellable for that composition, therefore Jg is a permutation of G. Given another permutation, Jh = Jg, then h = h$x = Jh(x) = Jg(x) = g$x = g, meaning J is injective.Now for the fun part!
For every x Є G, a composition of two permutations is as follows:
(Jg â—‹ Jh)(x) = Jg(Jh(x)) = Jg(h$x) = g$(h$x) = (g$h)$x = Jg$h(x)
Therefore Jg ○ Jh = Jg$h(x) for all g, h Є G
That means that the set Ђ = {Jg: g Є G} is a stable subset of the permutation subset of G, written as ЖG, and J is an isomorphism from G onto Ђ. Consequently, Ђ is a group and therefore is a permutation group on G.
Q.E.D.
Muhammed Al-Khwarizmi is the guy and Al Jabr literally means the reconstructer..
What is the relation between set theory and relational databases?
DEFINITIONS: Set Theory - branch of mathematics that studies sets, which are collections of objects... Relational Databases - matches data by using common characteristics found within the data set...... YOUR ANSWER: Set theory can be applied to relational databases on effectively organizing data. See more on Relations on Set Theory. Once you understand relations or relationships in mathematics, you will easily be able to organize and simplify your data into your databases.
Can you take a test online that will show you where your grades are?
I dare say there's tests online that'll tell you anything you want.
Realistically, there's no test to tell you exactly where you're at.
"<" means less than and ">" means greater than, i.e., 6<10 but >3.
What is the practical application of the study of ergonomics?
Principles of ergonomicsare applied to the design of many elements of everyday life, from car seats to garden tools.
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What is the solution of rational equations reducible to quadratic?
They are the solutions for the reduced quadratic.
can anyone give me an exact definition of payroll matrix................
Which type of matrix can be multiplied to another matrix and result in that matrix?
That is called the identity matrix.
For example,
(3,1,4)t x (1,1,1) = (3,1,4)t In this case (1,1,1) is the identity matrix.
Another example is
5 11 1 0 1 11
x =
4 3 0 1 4 3
(You will have to imagine the brackets around the matrices as I did not know how to draw them in.)
In this case 1 0 is the identity matrix.
0 1
An axiom is a basic mathematical truth used in proofs, outlined initially by Euclid. Axioms are self-evident and do not need to be proven, they can be combined and used logically to prove more complex mathematical concepts, especially in geometry.
Example: "The shortest distance between two points is a straight line."
What does the slope of they curve on a velocity-versus-time graph represent?
The rate of change in accelleration.
