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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.

500 Questions

How do you solve 5x plus 3x?

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Asked by Wiki User

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.

Is using AssemblyLoad a static reference or dynamic reference?

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Asked by Wiki User

Using AssemblyLoad is a dynamic reference. It allows you to dynamically load assemblies at runtime based on certain conditions or criteria rather than having a fixed/static reference in the code at compile time.

What is a mull set?

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Asked by Wiki User

'Mull Set' . I think you mean 'NULL SET'.

This means a set with no elements, or an empty set.

Was Godfather 1 better than Godfather 2?

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Asked by Wiki User

Godfather 1 was an epic film, and Godfather 2 was more like a continuation.

What does the variable I stand for in algebra?

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Asked by Wiki User

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?

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Asked by Wiki User

Let's call the two numbers x and y. We know that x + y = 37 and x - y = 13. Solving these two equations simultaneously, we can add the second equation to the first equation to eliminate the y variable and find the value of x. Putting the value of x back into one of the two equations will give us the value of y.

What is 0.98989898 for using bar notation?

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Asked by Wiki User

It is 0.98 with a bar over the 98.

Examples of abstract exam?

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Asked by Wiki User

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?

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Asked by Wiki User

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 the value of a 1918 webley mark v1 in 455 cal?

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Asked by Wiki User

785 us dollars and the pistol is a very nice weapon

What is a biz domain?

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Asked by Wiki User

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?

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Asked by Wiki User

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?

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Asked by Wiki User

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?

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Asked by TheBeaver

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?

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Asked by Wiki User

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?

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Asked by Wiki User

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

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

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Asked by Wiki User

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

What is a boolean?

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Asked by Wiki User

A Boolean is a variable that can hold the value true or false. In most implementations, true is the all-ones bit pattern while false is the all-zeroes bit pattern. As a signed integer in twos-complement notation these patters represent -1 and 0 respectively. However, numeric values can and often do implicitly convert to a Boolean such that non-zero values are always true while zero is always false. For typical container objects (including strings), an empty container implicitly converts to false while a non-empty container implicitly converts to true.

How do you write a c program to read two numbers and perform addition and subtraction of two matrices?

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Asked by Wiki User

#include<stdio.h>

#include<conio.h>

void main()

{

clrscr();

int a,b,c,n;

printf("enter the numbers");

scanf("%D",&n);

for(i=0;i<n;i++)

a=b;

a=c;

c=a+b;

printf("the sum is %c",);

getch();

}

Difference between function and method?

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Asked by Wiki User

Constructor will be automatically invoked when an object is created whereas method has to be called explicitly. Constructor needs to have the same name as that of the class whereas functions need not be the same. * There is no return type given in a constructor signature (header). The value is this object itself so there is no need to indicate a return value. * There is no return statement in the body of the constructor. * The first line of a constructor must either be a call on another constructor in the same class (using this), or a call on the superclass constructor (using super). If the first line is neither of these, the compiler automatically inserts a call to the parameterless super class constructor.

Cannon matrix multiplication program?

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Asked by Wiki User

maltiplication of matrix for algorithme

What is the value of obsidian?

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Asked by Wiki User

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.

Write a c program using dynamic memory allocation to transpose a matrix?

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Asked by Wiki User

Type your answervoid main()

{

int **a,**b,**c;

//int c[3][3];

int a_r,a_c,b_r,b_c;

int i,j,k;

clrscr();

again:

printf("\nenter rows and columns for matrix one:");

scanf("d",&a_r,&a_c);

printf("\nenter rows and columns for matrix two:");

scanf("d",&b_r,&b_c);

if(a_c!=b_r )

{

printf("\ncan not multiply");

goto again;

}

/* allocate memory for matrix one */

a=(int **) malloc(sizeof(int *),a_r);

for( i=0;i {

a[i]=(int *) malloc(sizeof(int*)*a_c);

}

/* allocate memory for matrix two */

b=(int **) malloc(sizeof(int)*b_r);

for( i=0;i {

b[i]=(int *) malloc(sizeof(int*)*b_c);

}

/* allocate memory for sum matrix */

c=(int **) malloc(sizeof(int *)*a_r);

for( i=0;i {

c[i]=(int *) malloc(sizeof(int)*b_c);

}

printf("\n enter matrix one %d by %d\n",a_r,a_c);

for(i=0;i {

for(j=0;j {

scanf("%d",&a[i][j]);

}

}

printf("\n enter matrix two %d by %d\n",b_r,b_c);

for(i=0;i {

for(j=0;j {

scanf("%d",&b[i][j]);

}

}

/*initialize product matrix */

for(i=0;i {

for(j=0;j {

c[i][j]=0;

}

}

/* multiply matrix one and matrix two */

for(i=0;i {

for(j=0;j {

for(k=0;k {

c[i][j]=c[i][j]+a[i][k]*b[k][j];

}

}

}

/* display result */

printf("\n Product of matrix one and two is\n");

for(i=0;i {

for(j=0;j {

printf("%d\t",c[i][j]);

}

printf("\n");

}

/*free memory*/

for(i=0;i {

free(a[i]);

}

free(a);

for(i=0;i {

free(b[i]);

}

free(b);

for(i=0;i {

free(c[i]);

}

free(c);

printf("\npress any key");

getch();

}

I would suggest you go to

http://code.freefeast.info/matrix-multiplication-using-pointers-in-c-dynamic-matrix-multiplication-in-c/

It has got a well formatted and commented code for this problem

What is the definition of long?

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Asked by Wiki User

long overland treks on which cowboys herded cattle from ranches to rail lines