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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 a combination in mathematics?

DefinitionIn Mathematics, a combination is a way of selecting different things, not occuring to a specific order.

Ex. Sarah and Jasmine wants to breed their fish. Sarah has one lionfish, one angelfish, two red devil fish, and one gold fish. Jasmine has one algea eater, one goldfish, and one catfish. What are the possible combinations?

Usually your teacher would tell you to make tree combination. But, the easiest way to find the total combinations is to multiply. Count all of the fish in each group and multiply them. Which would be 5x3 you would get 15 combinations.

There you have it!

Thankss.

Write an c program of addition of two values?

#include<stdio.h>

#include<conio.h>

main()

{

int a,b,sum=0;

clrscr();

printf("Enter two variable:--");

scanf("%d%d",&a,&b);

sum=a+b;

printf("Sum of %d+%d=%d",a,b,sum);

getch();

}

What is the value of a 1948 shilling?

Assuming you mean a British shilling, about 10 cents or so. 1948 shillings have no silver and are very common.

What is the value of 1 peso?

It is 1 peso!

And if you wanted to know its value in some other currency then you need to specify which country's peso you are talking about and also in which country's currency you want its value.

Use Boolean algebra to simplify the logic function and realize the given function and minimized function using discrete gates. f equals ab c plus abc plus ac plus bc plus abC.?

Do you mean F = abc + abc + ac + bc + abc' ?

*x+x = x

F = abc + ac + bc + abc'

*Rearranging

F = abc + abc' + ab + bc

*Factoring out ab

F = ab(c+c') + ab + bc

*x+x' = 1

F = ab + ab + bc

*x+x = x

F = bc

How do you cheat on Plato web pre-algebra?

What is the eighth term of the geometric sequence 3, 12, 48, 192, ... ?

What is 0.00056 scientific method?

do u mean scientific notation?

in scientific notation, the answer is 5.6x10-4

What is the difference between intensive algebra and algebra 1?

The difference of algebra and algebra 1 is that in algebra they teach you the basics. For example, they teach you about variables, graphs, how to find slopes.

In algebra 1 they start using equations and and teach you how to work longer equations and all that jazz.

How do you multiply matrices?

The browser used by this site is not really designed for this answer but here's an attempt.Suppose A and B are matrices with dimensions pxq and qxr where p, q and r are positive integers.


Then the (i, j)th term in AxB is the sum, over all k, of ai,k*bk,j. where ai,k is the element in the ith row and kth column of A.

-m-5n what is the value?

The value of M in the equation -M take away 5N would be 15. This is math.

Can you say whether a signal is periodic or nonperiodic by looking at its frequency domain plot?

Yes. The Fourier transform of a signal to the frequency domain will give rise to a graph that has energy (is greater than zero) at only the base frequency and its harmonics.

What does variables mean in math with sentence?

I'm assuming you mean what is a variable. A variable is a letter that is used to take the place of a number. That letter can be any number. One example is 1+x=2 So x would equal 1. But in most cases the variables are solved for with more complex problems. Also, you may not be solving for the variable at all, it might be a placeholder.

______________________________________________________________

  • In elementary mathematics, a variable is an alphabetic character representing a number which is either arbitrary or not fully specified or unknown.
  • Making algebraic computations with variables as if they were explicit numbers allows one to solve a range of problems in a single computation.
  • A typical example is the quadratic formula, which allows to solve every quadratic equation by simply substituting the numeric values of the coefficients of the given equation to the variables that represent them.
  • The concept of variable is also fundamental in calculus. Typically, a function y = f(x) involves two variables, its argument x and its value y. The term "variable" comes from the fact that, when the argument (also called the "variable of the function") varies, then the value varies accordingly.
  • So, variables are (usually) letters or other symbols that represent unknown numbers or values.
  • The following are examples of algebraic expressions and equations containing variables.
    • 2x + 5 = 10, the variable here is x
    • 7y + 10 = 24, the variable here is y
    • a2 + b2, the variables here are a and b
  • Refer to link below for more information

What would temperature do to the particles of solids?

Temperature is a measure of thermodynamic activity: it does not DO anything!

What is the relationship of rational numbers and real number?

The set of rational numbers is a subset of the set of real numbers. That means that every rational number is a real number, but not every real number is rational. The square root of 2 is an example of a real number that isn't rational; that is, it can't be expressed as the quotient of two integers.

How do you add in base 2?

Adding in base 2 is binary for computers. 10 = 2 because 10 means 1 of your base. The rules are no different.

What are the steps to solving multistep equations?

  1. the contents of parentheses
  2. exponential terms
  3. multiplication and division
  4. addition and subtraction

How do you simplify the square root of 156?

The easiest way before learning to be more efficient is to break it down into it's multiplicative tree. So 156 becomes 78 x 2: 78 = 39 x 2. What is left now is 2 x 2 x 39 (39 is 13 x 3 and does not simply further) and 4 x 39 can be simplified. Pulling out the 4 from the radical becomes 2 * sqrt(39) where sqrt means "Take the square root of" what's in parentheses.

What are matrices inclosed in?

A matrix is bound by braces which look like [ ].

What is causation in algebra?

Here's a somewhat uneducated take:

In mathematics, there is algebra in the sense of solving quadratic equations, but in higher level mathematics, there are various kinds of "algebras", which are really totally different from what we normal people call algebra.

The name algebra comes from Arabic words meaning "a method for putting together"; in other words, some kind of logical system for figuring things out. If you've heard of Boolean algebra, you have an idea of how it's completely different from "Algebra I", but it is a system for figuring out logic problems.

Now if you have worked with graphs of say frequency of lung cancer and tobacco smoking, you may think that the graph shows that smoking causes lung cancer. Actually it just shows there is a correlation between smoking and lung cancer. Maybe there is a gene which makes people want to smoke, and also causes lung cancer ... then it is the gene that causes both of them. So this is what the causation part is about.

If you're way ahead of me, then enter "causation in algebra" into your search engine of choice, and knock yourself out on philosophy, teleology, and stuff.

Thanks for asking!

What is the nearest tenths of 20?

Restate the question: What is 20 rounded to the nearest tenth?

Answer: 20.0

(If you meant something different, try asking it a different way.)