Kevin Dudeja
  • Member for 3 years, 4 months
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$\int_{0}^{1}dx$
2 votes

$$ dx = 1.dx $$ $$ take \ a \ break, you're \ stressed $$ $$ hehe $$

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Are symmetry axes in $D_n$ fixed?
1 votes

Yes, the axes of symmetries are fixed and your explanation is correct. Regarding what comes first, most authors stick to the convention of right to left like in function composition, this has become a ...

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Order of $ U(n) $
1 votes

The euler totient function states that $\phi(n) = n \ * \prod_{p|n} (1 - \frac{1}{p}) $ where the product is over the distinct prime numbers dividing n. Now, by factorisation of 248 into product of ...

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Proof $(g,x) \mapsto x * g^{-1}$ is a left group action.
0 votes

Here, our mapping takes a ordered set from the cartesian product $G\ * \ X$ to an element in set $X$, $(g,x):=xg^{-1}$ If we let the mapping $(g,x)\mapsto x*g^{-1}$ be a left group action of G on S. ...

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Why do mathematicians approach axiomatic proofs like this?
0 votes

If we look at the structure of the statement for 2.1.2 (a),(b) it has the backbone of "If A Then B" but also includes the word "With". The word "with" acts as a supporter ...

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How to know if a function is linearly independent or dependent?
Accepted answer
0 votes

$$ *** $$ Let the set of functions Y = $\{ y_1(x),y_2(x),y_3(x) \} = \{x^2, \sin x, \cos x \}$, be linearly dependent. Since you did not mention the anything about where the function is coming from ...

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A basic and short question of linear dependency
0 votes

$$ *** $$ Let the set of vectors S = {$ v_1,v_2,v_3, \ldots, v_k $}, be linearly dependent. Then by definition of linear dependence, there exists scalars {$c_1,c_2,c_3,\ldots,c_k$} (not all zero) ...

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