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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
A variable is a value that is not always the same number. In alegebra, it is represented as a letter. In the equasion Y=4X+5, 'Y' and 'X' are both variables.
What is the difference between pre-algebra and algebra 2?
Pre-algebra is where you just learn the basics of Algebra and Algebra two is way more advanced with new information and taking the concepts you learned in pre-algebra and algebra to the next level.
When is a metric on a set complete?
A metric on a set is complete if every Cauchy sequence in the corresponding metric space they form converges to a point of the set in question. The metric space itself is called a complete metric space.
See related links for more information.
What is algebra and provability?
Algebra means - roughly speaking - that you do calculations involving unknown quantities, represented by letters called "variables"."Provability" means that it is possible to prove something. (Note: don't confuse this with "probability", which is a different concept.)
Algebra helps us to answer questions where there is an unknown value (not necessarily the bit after '=') or for when there is a range of answers which will be correct for a mathematic equation. For example, if you had an equation: 2A + 16 = 18, it is easy to see that A=1 in this case.
You can also use algebra in cases where two equations use the same letter within, corresponding to the same value in each, and this can be used to solve when there are 2 unknown values. For example:
Eqn (1): 2A+3B=17
Eqn (2): 2A-8=6B
The values of A and B are both unknown, but because it is known that both A and B are equal in both equations we can manipulate them to eliminate one of the unknown values: If you subtract Eqn (2) from Eqn (1), the 2A's will cancel and you would be left with 3B+8=17-6B, if this is rearranged to get all of the B's on one side of the '=' you get 9B=9, and thus know that B=1, this can then be substituted into either equation to find A: 2A+(3x1)=17
2A=14
and therefore: A=7
These are only simple examples of how we utilise algebra, this is essentially why we have algebra.
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That does not answer the question, but gives only examples of use. Algebra is the language of mathematics - the collection of letters and symbols that allow mathematical expressions, equations and methods to be described in such a way that they can be used to solve numerical problems.
What are the problems of every religious group?
From what I've seen "Money & Power. Every religion thinks that it is right. This can lead to conflict, whether it is verbal or physical.Atheism can be included in this too, because although it is technically not a religion, atheists (such as me) believe that they are right as well.
What is the value of a model 94 win 32 special serial 1302057?
Your rifle was manufactured in 1949, which makes it a desireable "pre-'64" example. The value of the gun will depend entirely on its condition and if it has any factory enhancements (engraving, special sights, etc.) although even a rough 1949 rifle is worth a couple hundred. Your best bet is to get an appraisal from a local gunsmith and see what he tells you. He may recommend that you talk with a more advanced collector who is more knowledgible of the variations and values for the model 94. A good smith won't try to buy it. It is proper to pay him for his service.
Why was Jesus the point of origin?
Because in John chapter 1 of the Bible it says the word (Jesus is the Word) was there at creation and that nothing was created without him
What is the least common multiple of 12 3 and 16?
The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.
The least common multiple of 3, 12, and 16 is 48.
Can you please tell an experience which proves a vector field?
You walk from your home to school, you walk back from your school to home. Outcome: you have walked two lots of the distance between your home and school but your resulting displacement is 0: you are now exactly where you started from. The sum of two vectors of the same magnitude but in opposite directions is 0.
Another example: try rowing a boat across a flowing stream. To go to the opposite bank you need to aim up-stream. Alternatively, if you try to row at right angles to the bank that you started from, you will end up downstream. These are examples of adding vectors that are acting at an angle to one another.
What is the value of model 3113929 rifle?
I can only guess from the serial number over 3 million and the fact that you posted under the Winchester topic that you have a Model 94. Even if that is correct, a lot more is needed to determine the value. What is the caliber, configuration (barrel length, butstock style, magazine length, finish, special order features), and most importantly, the condition and originality.
There is insufficient information in your question to be able to answer. What is the model number, manufacturer, and type of gun.
What is a easer way to understand writing an expression for the sequence in a table?
There is no simple way to answer this question.
First, the question refers to an "easer" (easier?) way. That implies there is a way but you do not find it easy. However, you have not bothered to say what that way is. Unfortunately, we have not yet mastered the art of reading minds and so cannot be sure that the way that we suggest is not exactly the same as the way that you found difficult.
Second, some people find one method easy and another method difficult, whereas others find the second easy and the first difficult.
Third, a method which seems difficult at first might become easier when you twig it.
How do you get help on your math?
If your teacher does not already know that you need help, you should ask for it.
