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Simplex1
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29 votes
9 answers
7k views

Do $3/8$ (37.5%) of Quadratics Have No $x$-Intercepts?

12 votes
1 answer
2k views

How to find the order of a Rubik's cube algorithm?

5 votes
3 answers
637 views

$8^n-3^n$ Divisible by 5 - Proof Verification.

5 votes
2 answers
403 views

Exponential growth of a cow farm with constraints in Minecraft

4 votes
0 answers
65 views

(Verification) Prove $2^n \ge n$ for all $n \in \mathbb{Z}^+$.

3 votes
1 answer
89 views

If $f(x)=e^{-x}x^n$, find the values of $n$ such that $f(x)$ has $0,1, 2$ or $3$ inflection points.

3 votes
1 answer
316 views

Optimal Combination of vectors to reach a resultant vector.

3 votes
3 answers
74 views

Behavior of $f(x)=(-1)^x$

3 votes
1 answer
687 views

Bounded minimum value problem (from an exam today in Australia).

2 votes
2 answers
206 views

Find ratio between volume of optimal cuboid bound in ellipse, and volume of the ellipse.

2 votes
1 answer
155 views

(Verification) If $A \subsetneq B$, and $B \subsetneq C$, then $A \subsetneq C$

1 vote
6 answers
281 views

How to prove that $\frac{\cos(x)-\cos(2x)}{\sin(x)+\sin(2x)} = \frac{1-\cos(x)}{\sin(x)}$ in a simpler way.

1 vote
1 answer
102 views

(Verification) If $g \circ f$ is injective, then $f$ must also be injective.

1 vote
2 answers
332 views

Prove that $f(f^{-1}(V))=f^{-1}(f(V))$

1 vote
2 answers
762 views

Finding lowest point on circle after rotating it in 3D Space.

1 vote
2 answers
65 views

Symbolizing Circular Logic

1 vote
1 answer
52 views

Proving $f^{-1}(f(x))=x \forall x\in X.$ (if f is bijective).

1 vote
1 answer
30 views

Find the expected uniform distribution given a list of $k$ drawn outcomes.

0 votes
1 answer
34 views

Evaluating $\mathbb{E}[\exp(\xi_{k-1}(B_t-B_s))|\mathcal{F}_s]$ for an arbitrary process $\xi_t$.

0 votes
0 answers
56 views

Benefit of doing real analysis to understanding earlier topics.

0 votes
0 answers
271 views

Self Learning Real/Complex Analysis and PDE’s

0 votes
1 answer
81 views

$e^x \neq 0$ Proof Correctness

0 votes
2 answers
58 views

Meaning of partial differential in limits of integration?

0 votes
1 answer
2k views

How to transform Parabola to 3D graph and lift the vertex upon a vertical line (z axis)?

0 votes
2 answers
584 views

Show that $\sin x-i\cos x=\operatorname{cis}(x-\pi/2)$

0 votes
2 answers
61 views

How does an equation that's not fully factored, end up outputting solutions?

0 votes
2 answers
116 views

(Parameter Choice) Using Differentiation under integral for $e^{-x^2}$ [duplicate]

0 votes
0 answers
45 views

General Method of Parameterisation for Differentiating under Integral Sign

0 votes
2 answers
121 views

(Verification) If $f$ and $g$ are bijective, then so is $g \circ f$.

0 votes
3 answers
315 views

Is it possible for two different continuous functions to intersect along a finite domain?