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user1068636
  • Member for 11 years, 8 months
  • Last seen more than a month ago
11 votes
8 answers
1k views

How do you construct a function that is continuous over $(0,1)$ whose image is the entire real line?

6 votes
3 answers
149 views

How do I see if $a^3+b^3=c^3+d^3$ has any solutions where $ 1 \le a,b,c,d \in \mathbb{Z} \le 1000$ and $a \ne b \ne c \ne d$?

5 votes
3 answers
144 views

How do you factor $\frac{2x^2-x-1}{x^2-9} \cdot \frac{x+3}{2x+1}=$?

4 votes
2 answers
747 views

if $\sin(x)=\frac{1}{3}$ and $\sec(y)=\frac{5}{4} $, what is $\sin(x+y)?$

4 votes
1 answer
1k views

When computing the Taylor series of $(\cos x)^2$ how does the slide jump to concluding it is $1-(\sin x)^2$?

4 votes
3 answers
667 views

Historically, what did mathematicians do before accepting the Completeness Axiom?

3 votes
3 answers
1k views

What is the notation of a set of $n$ binary numbers where all of them are 0 except for one?

3 votes
2 answers
215 views

How do I use specific data points on a graph to determine an equation?

3 votes
4 answers
353 views

Why doesn't quadratic formula lead to a the correct factored form of the original equation?

3 votes
0 answers
98 views

What is the best way to teach mathematical analysis via YouTube videos? [closed]

2 votes
1 answer
169 views

What the expected value of $X$, $E(X)$, if the joint pdf $f(x,y) = \frac{e^{-y}}{y} $ for values $0 < x < y,\ 0 < y < \infty$?

2 votes
3 answers
88 views

For what values of $a$ does $\sum_{n=1}^\infty \frac{1}{(n+n^3)^a}$ converge?

2 votes
2 answers
63 views

How do you know what $\sum_{n=a}^{\infty}p^n$ converges to if you know $\sum_{n=0}^{\infty}p^n = \frac{1}{1-p}$? [closed]

2 votes
3 answers
164 views

How does $\sqrt{n+1}-\sqrt{n} = \frac{(n+1) - n}{\sqrt{n+1}+\sqrt{n}}$?

2 votes
2 answers
173 views

How do you factor $3x^{3/2} -9x^{1/2}+6x^{-1/2}$?

2 votes
3 answers
851 views

How do you evaluate $\int_{|z|=1} \frac{\sin(z)}{z^2+(3-i)z-3i}dz$?

2 votes
0 answers
53 views

How do you show {$x \in \mathbb{R}|f_1(x)=f_2(x)$} is open?

2 votes
1 answer
49 views

How do I solve for $A$ such that $\int_{-\infty }^{\infty } A e^{-\lambda(x-a)^2}\, dx = 1$?

1 vote
1 answer
415 views

When computing fourier series, how do you know when you can change the bounds of integration to simplify calculations?

1 vote
0 answers
38 views

What is the correct way to compute a KullbackÔÇôLeibler metric?

1 vote
4 answers
86 views

Why is it not true $\int_{T}|x(t)|^2 < \infty \implies $ $\int_{T}|x(t)| < \infty $ for a periodic function $x(t)$?

1 vote
1 answer
407 views

Is there way to simplify or improve efficiency of LU factorization algorithm?

1 vote
2 answers
59 views

Prove $||u_k||$ converges to $||u||$ if $u_k$ converges to $u$.

1 vote
1 answer
2k views

Why are the Fourier Series an orthogonal basis?

1 vote
1 answer
30 views

How do I find a dual basis for all vectors in $R^3$ such that $v_1-3v_2+2v_3=0?$

1 vote
1 answer
62 views

How do you factor $x^3-3x^2-4x+12$

1 vote
2 answers
137 views

How is it possible that $\int\frac{dy}{(1+y^2)(2+y)}$ = $\frac{1}{5}\int\frac{dy}{y+2}-\int\frac{ydy}{1+y^2}+\int\frac{2dy}{1+y^2} $?

1 vote
5 answers
75 views

How do I solve $x^4-3x^2+2=0$?

1 vote
1 answer
97 views

How to determine the probability of even number of ones in a fair coin toss?

1 vote
1 answer
65 views

What does $ \sum_{i = 1}^{\infty} \frac{1}{i(i-1)!}$ converge to?