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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
Is dreamweaver 8 better than dreamweaver CS3?
Dreamweaver 8 was the version prior to CS3. Dreamweaver 8 was owned by Macromedia but Adobe purchased the program and changed the name from Macromedia Dreamweaver 8 to Adobe Dreamweaver CS3 with the new version. Previous versions of Dreamweaver, in reverse order: Adobe Dreamweaver CS3, Macromedia Dreamweaver 8, Dreamweaver MX 2004, Dreamweaver MX, Dreamweaver 4, 3, 2, and 1.
However, newer is not necessarily better. Some features of Dreamweaver 8 have been left out of the newer version, which arguably make it a less good choice for some. It really depends what you are using it for, and whether you need the new features in CS3.
Matrices are generally used to solve simultaneous equations. You use the co-efficient of the variables and arrange them in a matrix to solve them. To do so requires at least as many equation as there are variables. Other uses include vector calculations.
Which you don't want. You want the least common denominator, which is 360.
Is every abelian group is cyclic or not and why?
every abelian group is not cyclic. e.g, set of (Q,+) it is an abelian group but not cyclic.
What is associative property sometimes called?
The associative property is sometimes called the associative law. It refers to the principle that the way in which numbers are grouped in an operation does not affect the final result, specifically in addition and multiplication. For example, in addition, (a + b) + c is the same as a + (b + c).
How do you derive scattering matrix?
s=b/a for n port network in matrix form
[b]=[s]*[a].
there is also relation between z matrix in s matrix.
Is grade 4 higher than grade 3?
i was on a grade 3 with my employer I have now been put on grade 4 I do not know why
How would you answer to complete the estimate 8.81 plus 2.78 equals 8.8 plus equals?
If 8.81 + 2.78 = 8.8 plus Xthen, since 8.81 is nearly equal to 8.8
a good estimate for X is 2.78.
None, since there can be no conversion. A metre is a measure of length in 1-dimensional space while a year is a measure of time. The two measure different characteristics and, according to the most basic principles of dimensional analysis, any attempt at comparisons or conversions between the two are fundamentally flawed.
A normed vector space is a pair (V, ‖·‖ ) where V is a vector space and ‖·‖ a norm on V.
We often omit p or ‖·‖ and just write V for a space if it is clear from the context what (semi) norm we are using.
In a more general sense, a vector norm can be taken to be any real-valued vector that satisfies these three properties. The properties 1. and 2. together imply that if and only if x = 0.
A useful variation of the triangle inequality is for any vectors x and y.
This also shows that a vector norm is a continuous function.
What are the example of field that contains subfield?
The set of complex numbers is a field which contains the set of real numbers as a proper subfield.
Write a c program to sort the elements of the matrix in ascending order?
#include<stdio.h>
main()
{
printf("Enter Order Of The Matrix\n");
int l,m;
int i,j,k,t,x;
scanf("%d%d",&l,&m);
int a[l][m],temp[l*m];
printf("Enter The Elements Row Wise...\n");
for(i=0;i<l;i++)
{
for(j=0;j<m;j++)
{
scanf("%d",&a[i][j]);
}
}
printf("Matrix A \n ");
for(i=0;i<l;i++)
{
printf("\n");
for(j=0;j<m;j++)
{
printf("%d\t",a[i][j]);
}
}
/*----------------------------------------------------------------------*/
x=0;
for(i=0;i<l;i++)
{
for(j=0;j<m;j++)
{
temp[x]=a[i][j];
x++;
}
}
for(i=0;i<l*m;i++)
{
for(j=0;j<(l*m)-1;j++)
{
if(temp[j]>temp[j+1])
{
t=temp[j];
temp[j]=temp[j+1];
temp[j+1]=t;
}
}
}
x=0;
for(i=0;i<l;i++)
{
for(j=0;j<m;j++)
{
a[i][j]=temp[x];
x++;
}
}
printf("\nMatrix A After Sort \n ");
for(i=0;i<l;i++)
{
printf("\n");
for(j=0;j<m;j++)
{
printf("%d\t",a[i][j]);
}
}
}
Why you calculate eigenvalues and eigenvectors?
There is a great series of videos on YouTube about quantum mechanics (which is one place where such concepts are used a lot). For the "why", the author says: "Because it works". In other words, it has been found that doing the calculations a certain way provides results that make sense, and that are consistent with observations.
Of course - as the same author points out - it took a genius to figure this out.
