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Aug
30
comment Suppose $p, p+2, p+4$ are prime numbers. Prove that $p = 3$ not using division algorithm.
While you could look at $p,p+2$ and $p+4$ mod 3 as one idea I suspect this is using the division algorithm unfortunately.
Aug
30
reviewed Approve math problem two possible values
Aug
30
comment Does the following limit always hold?
Is $y$ intended to be a function that can be differentiated infinitely many times? Some functions may have a limit of how often a derivative can be taken at some points.
Aug
29
answered Prove $\sin^2(\theta)+\cos^4(\theta)=\cos^2(\theta)+\sin^4(\theta)$
Aug
28
comment When can a set have an upper bound but no least upper bound?
Ever look at en.wikipedia.org/wiki/Surreal_number ?
Aug
27
comment $z=100^2-x^2$. Then, how many values of $x,z$ are divisible by $6$?
Did you leave out some pieces? You didn't state in the question whether or not negative values are acceptable for $x$ and $z$ which may be what some of us would presume.
Aug
27
comment $z=100^2-x^2$. Then, how many values of $x,z$ are divisible by $6$?
Why wouldn't you start with 100 mod 6 as a starting point? That simplifies this greatly as this would leave you with at most 6 cases to consider.
Aug
25
comment Question about irrationality proof of $\sqrt{n}$
"p and q share no common prime factors." is important as $q=4$ and $p=6$ would be a case where 2 is a common prime factor and thus doesn't count.
Aug
23
comment Show that $\sum_{n=0}^\infty\left(\frac{1}{n+1} - \frac{1}{n+2}\right)= 1$
What have you tried to solve this?
Aug
23
comment Modular arithmetics: one sequence is equal to another read backwards
Ever consider how 5+7=12?
Aug
19
reviewed Approve Bi-linear relation between two continued fractions
Aug
19
comment Purpose of Loop invariant
$(i+1)^2=i^2+i+i+1=i^2+2i+1$ would be part of what you are missing I suspect.
Aug
16
comment The logarithm is non-linear! Or isn't it?
Computational complexity classes that use big-O notation would note that linear complexity is quite different from logarithmic ones as an example where the difference is quite noticeable as a binary search compared to going through the entire list can produce major time differences in some cases.
Aug
14
comment Solve for $a$ and $b$ in a limit
Have you considered trying some substitutions like $a=(x+4)$ and $b=4$ to see what could happen?
Aug
13
reviewed Approve To determine the interval of unit length which contains the smallest positive root of $x^{3}-5x-1=0$
Aug
6
comment Why does $\sum_{\sigma\in S_n}q^{\ell(\sigma)}=\frac{(1-q)(1-q^2)\cdots(1-q^n)}{(1-q)^n}$?
Hint: $(1-q^k)=(1-q)(1+q+...q^{k-1})$
Aug
6
comment Prove if $f(a)<g(a)$ and $f(b)>g(b)$, then there exists $c$ such that $g(c)=f(c)$.
How do you go from $f(b)-g(b)>0$ to a contradiction of $f(b)-g(b)=0$? That seems wrong to me.
Jul
28
comment What three odd integers have a sum of 30?
9+1+5+5+5+5=30 using 3 integers where one gets used a few times to make up the missing piece.
Jul
17
revised (Discriminant) For which values of k will the equation g(x) = x + k have two real roots that are of opposite signs?
elaborated based on comment.
Jul
16
answered (Discriminant) For which values of k will the equation g(x) = x + k have two real roots that are of opposite signs?