8h
answered How to factorise a number in $\mathbb {Z}[\sqrt {-5}]$?
9h
comment Representing of natural number
I bet if you solve the problem for $n=2$, then $n=3$, and maybe $n=4$, a pattern will appear.
12h
answered If $r=\sqrt{x^2+y^2}$, what is $\frac{dx}{dr}$ and $\frac{dr}{dx}$?
12h
answered Is 1^2^3 = $1^{2^3}$ or $(1^2)^3$
19h
comment process of $(a,b)R(c,d)\implies a\cdot b(b+c)=bc\cdot (a+d)$ being transistive relation..
P.S. this is a place to learn about mathematics, not outsource your work.
19h
comment process of $(a,b)R(c,d)\implies a\cdot b(b+c)=bc\cdot (a+d)$ being transistive relation..
This is a good start, converting your starting point into algebra... but you forgot to convert your ending point into algebra too so you know what you're trying to derive! And, of course, if you don't know what to do you should try doing what you can; e.g. you have lots of algebraic equations, so at the very least you should try doing things like simplifying them or solving them before you give up.
1d
revised Double finite field extension
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1d
answered Double finite field extension
1d
revised Double finite field extension
deleted 98 characters in body
1d
comment Double finite field extension
$$x^2 - 2 = (y^2 - x) \cdot (-y^2 - x) + (y^4 - 2) \cdot 1$$
1d
answered Double finite field extension
1d
comment Can we find four reals $x,y,a,b$ such that $z=(x-a)^2+(y-b)^2$
@DER: But the problem is just as trivial even if you require them to be nonzero.
1d
comment Proving two graphs are isomorphic in polynomial time - Bondy/Murty - Graph Theory Page 6
Trial and error looks like it should work rather quickly, especially if you focus on finding the obvious structures of the left-hand graph in the right. Have you not tried it yet?
2d
comment How to identifiy $V \wedge V$ with the space of all alternating bilinear forms
@Stefan: On the one hand, I had misread your posting, and was trying to hint at something related to my misreading. But on the other hand, recognizing that $\wedge$ is antisymmetric is useful anyways. You can actually find an injective homomorphism $V \wedge V \to V \otimes V$. Either way, I think my other comments still apply.
2d
answered How to identifiy $V \wedge V$ with the space of all alternating bilinear forms
2d
answered What does the constant mean in Big O notation?
2d
comment Dividing by 2 numbers at once, what is the answer?
A more accurate description is $x/y/z$ is unfamiliar -- it's not written very often and people don't see it very often, so they don't have an instinctive response to read it as left-associative. In fact, they may well have never seen or considered such an expression before!
2d
comment Dividing by 2 numbers at once, what is the answer?
There is an interesting alternative notation that $/z$ is used for the reciprocal of $z$, so $x/y$ means $x$ multiplied by $/y$
Oct
20
revised Are $e : 1 \rightarrow X$ and $\mathrm{id}_X : X \rightarrow X$ the only operations of $\mathsf{Grp}$ that are homomorphisms?
added 4 characters in body
Oct
20
comment Are $e : 1 \rightarrow X$ and $\mathrm{id}_X : X \rightarrow X$ the only operations of $\mathsf{Grp}$ that are homomorphisms?
@goblin: Well, you do have some extras, because of $e : 1 \to X$: in a theory without constants, $\hom(1, X) = \varnothing$.
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