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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 5x plus 3x?

There is NO solution, because there is NO equals sign.

However, 5x + 3x add to 8x (simplified)

Remember in Algebra

5x means '5' multiplied to 'x' and '3' multiplied to 'x'.

The multiplication sign is never shown in algebra.

What is electric field vector in plane polarised light?

This is the electric field vector of a plane-wave light beam of angular frequency ω=2πc/λ travelling in the direction of a unit vector n with velocity c: E=E(0) exp [-iω(t-n·r/c)]

What is the value of obsidian?

The price of obsidian varies with type and rarity. Obsidian is sought out by mineral collectors who want to display and enjoy it. It is also bought up by those who want to fashion it into jewelry and other objects. Obsidian, or volcanic glass, has a range of values that depend on the piece being sold or the chunk or object assessed for value. The curious person might start by looking on eBay to see some examples of the specimens for sale, and also some of the many, many pieces of jewelry made from it. It can also be fashioned into book ends, chess pieces, and just about anything else that other minerals can be made into. And the prices or "value" of these things will vary as broadly as the item being looked at. Just as you would expect. An example: Rainbow Obsidian is one of the most beautiful varieties of obsidian, but it is still not expensive. Retail values of Rainbow Obsidian generally won't go over the $40-50 per pound range..... Unless... Obsidian is volcanic glass. Little white flecks of ash or streaks of impurities are fairly common. I once owned a 26 pound Rainbow Obsidian Sphere. It was rare because of its size and the absence of ash. The retail value of that piece could be two to three times the normal rate because of its rarity.

How many kiloseconds in a second?

kilo means 1000 so one kiloseconds is 1000 seconds then 1 second is 0.001 kiloseconds

What are axioms?

axioms are statements which cannot be proved.but these statements are accepted universally.we know that any line can be drawn joining any two points.this does not have a proof

Logarithmic growth formula?

Logarithmic growth is inverse of exponential growth...

r = growth rate

P = initial population value

Y = result

t = time

Formula:

Y = P * log r(t)

While exponential growth is as follows:

Y = P * (1 + r) ^ t

Y = P * EXP(1) ^ t (if growth "r" is contigous over time "t")

also linear growth formula is:

Y = P * r * t

finaly here is polynomial growth:

Y = P * t ^ r

~codekiddy.

What is an example of a primary group?

Which is an example of a primary group? C. A close, long-lasting friendship

How to find Msc-maths 1st year old questions papers?

You can try contacting your university or college's examination office to request old question papers for MSc Mathematics 1st year. You can also check online repositories, academic forums, or student groups where previous year's question papers might be shared. Additionally, some universities have online databases or archives where you can access past question papers.

Is using AssemblyLoad a static reference or dynamic reference?

Dynamic references are constructed on the fly as a result of calling various methods, such as System.Reflection.Assembly.Load. Source: .NET Framework Developer's Guide How the Runtime Locates Assemblies

What is a mull set?

null set or empty set, is a set with no elements.

Was Godfather 1 better than Godfather 2?

I think, movie-wise, that number one was better...thats just me.But in the book, all the movies are piled in to one book...or that's what i was told

What does the variable I stand for in algebra?

The variable "I" in algebra can represent any unknown quantity or value. It is commonly used to represent interest in mathematical equations related to finance or economics. However, "I" can refer to any unknown in an equation and its meaning depends on the specific context in which it is used.

What two number add up to 37 and have a difference of 13?

Let's put it into equations

a+b=37 (1)

a-b=13 (2)

From (2) we get a=b+13, putting into (1) : b+13+b=37

Thus 2b+13=37 and 2b=24 and b=12 thus a=25

Examples of abstract exam?

An example of an abstract exam is an aptitude test. Also, a logical reasoning or logical test is considered an abstract exam.

What do you do when you have trouble solving a problem in the workplace?

Just ask a teacher or a guardian that's near you or skip that question and go to another one. it all depends on the problem and place if something serious got to the one you trust the most talking helps

What is a biz domain?

It means 'business'

.BIZ (Business) - This is a gTLD that is generally registered to classify their website as a business. Although it's not a commonly recognized extension, I feel that it's a great alternative if the .COM extension isn't available.

How many seconds is 80 minutes?

There are 60 seconds in one minute. Therefore, 80 seconds is equal to 80/60 = 1.3 recurring (that is, 1.3333..) minutes or 1 minute 20 seconds.

What is the value of a Benelli M1 Super 90?

Depends whether you are looking for a qualitative answer or a quantitative answer. Quantitatively, the M1 is no longer available new (as its been replaced by the M2, M3, & M4). Used M1s can be had for $700-$850. Now for the Qualitative Answer; the value of an M1 in a tactical or sporting situation is that you can deliver up to nine loads (seven in the magazine, one in the chamber, and one in the loading gate) of 12 gauge ammo as fast as you can pull the trigger. I put 200 rounds through one yesterday. Seven rounds down range before the first hull hits the dirt. That's what I call "value." Remember, when it comes to a gunfight, it is better to give than to receive ... and better to give more, faster.

What does the term abelian mean?

The term abelian is most commonly encountered in group theory, where it refers to a specific type of group known as an abelian group. An abelian group, simply put, is a commutative group, meaning that when the group operation is applied to two elements of the group, the order of the elements doesn't matter.

For example:

Let G be a group with multiplication * or addition +. If, for any two elements a, b Є G, a*b = b*a or a + b = b + a, then we call the group abelian.

There are other uses of the term abelian in other fields of math, and most of the time, the idea of commutativity is involved.

The term is named after the mathematician, Niels Abel.

What are variables?

something that can be changed, like in an experiment. there are controlled variables, manipulated variables and respondingvariables. Something that you could of done better or needed improvement on and then there's something that you did great. Variables are unknowns. They are typically found in math problems and represented by a letter, usually x. They can be fulfilled by any number that makes the equation true. Sometimes they have one discrete value, and other times it is possible that one variable could have several possible values that are all equally correct.
Something that can be changed. In algebra, it is the letter because the letter can be changed to a number.

What are the multiples of 388?

665, 1330, 1995, 2660, 3325, 3990, 4655, 5320, 5985, 6650 . . .

What is an easy way to memorize the books of the Bible in order?

We used to sing it in Sunday School and the problem becomes how to forget the books of the Bible. If you do not know how we used to sing it, then just make a melody out of the books of the Bible. Try it for it really works. Christian Art by Glenn: http:/wwwzperiodzglennbautistazperiodzcom/art/christianartzperiodzhtml