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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

Must know how much is here before knitting project is begun. Who will solve a math problem about the length of a ball of yarn?

The number of balls of wool and the ply to use is usually given in the knitting pattern. A test swatch is a good way to ensure there are the same stitches and rows as stated in the knitting pattern. When I was knitting (many years ago) balls (skeins) of wool was given in ounces!

Why is knowledge of Algebra is essential for an engineer?

Algebra is used to solve simple problems involving know and unknown variables.

What is the answer for 1-x-2 over 6x-1 equals zero?

For any fraction to equal zero, the numerator has to equal zero. So, we have to make 1-x-2=0. Simplify and get x=-1.

If you meant 1-x^2, then do the same thing: 1-x^2=0. Simplify and get x=±1

In trigonometry what are three values that are not defined?

Cosecant of k*pi radians Secant of 0.5*(2k+1)*pi radians

Cotangent of k*pi radians

where k is an integer.

What does the sum of a number and its cubed look like if its turned into verbal expression?

We did not find results for: We did not find results for: 8 x − 27 ≤ − x 18 Answer is 5 and all numbers less than that. Explanation: This is just mostly interpretation, so to do this, we know 8 times a number is 8x, therefore it's 8x. Minus twenty-seven is subtracting 27, so 8 x − 27 . "No more than" means nothing more, but it can be less so ≤ (that means less than or equal to which means the number on the right has to be greater than the number on the left or it can be equal to it). Negative of that number means − x because we don't know what "that number" is so we can assume it's x. Plus 18 means...plus 18? So you can do − x 18 . To solve this, you can add 27 on both sides and also add x to both sides to get: 9 x ≤ 45 Then divide both sides by 9 to get x ≤ 5 . Therefore from interpretation, you can say that the answer is 5 and all numbers less than that works.. Check spelling or type a new query..

What is a theorem of group theory?

Group theory has many theorems, most of which wouldn't be interesting unless you familiarized yourself with the subject!

Here is one: If H is a subgroup of G, the number of elments in H must divide the number of elements in G.

What is physical interpretation of vector space?

A vector has two properties: magnitude and direction. The representation of a vector is an arrow. The tip of the arrow points to the direction the vector is acting. The length of the arrow represents the magnitude.

What exactly is algebra?

it is just simplification of a complex mathematical equation..

Why algebra not pointless?

Look at the example problems in any algebra book. Though some of the examples may be a bit far-fetched, many of the examples are similar to problems that scientists and engineers need to solve in the real world.

How do you solve gram to milligram?

1 gram = 1,000 milligrams.

So multiply the number of grams by 1,000.

What connection are their between nurse and algebra 1?

there both porn stars the answerer has just answered your restarted question

What is the value of a 1921silver dollar?

Please see the link below

Also, this site has a Coins and Currency thread that is more appropriate to questions about, uh, coins and currency. Money and Credit is generally for questions about credit cards, finances, checking accounts, etc.

What are all the negative non integers that have a product of 20?

There are infinite number of negative non integers that have a product of 20. Any two negative fractions can make a product of 20. e.g.

-3/20 * -800/6 = 20

-3/8 * -320/6 = 20

-9/7 * -140/9 = 20

The list is endless. Only make sure you select both negative fractions to get a positive 20 and when selecting the fractions the numerator of one number is divisible by the other number's denominator such that the factors cancel to give 20.