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New posts in algebra-precalculus
How much math do we need to prove all simple numeric identities?
algebra-precalculus
logic
axioms
elementary-functions
How many solutions are there to $x+y+z=14$ where $x,y,z$ are all non-negative integers, $x \leq 5, y \leq 6, z \leq 7$?
algebra-precalculus
diophantine-equations
If $\alpha + \beta + \gamma = \pi$, then $\cos^2 \alpha + \cos^2 \beta + \cos^2 \gamma + 2\cos \alpha \cos \beta \cos \gamma = 1$
algebra-precalculus
trigonometry
Prove that the polynomial $f_n(x)=nx^{n+1}-(n+1)x^n+1$ is divisible by $(x-1)^2$
calculus
algebra-precalculus
If $x^n=y^n$ and $n$ is odd then $x=y$
algebra-precalculus
Every non-empty subset of the integers which is bounded above has a largest element.
calculus
abstract-algebra
algebra-precalculus
elementary-set-theory
The roots of $t^5+1$
algebra-precalculus
polynomials
Understanding the slope of a line as a rate of change
algebra-precalculus
intuition
slope
Find $x$ in the equation $ax^3+bx^2+cx=d$
algebra-precalculus
Eliminate $\theta$ from $\sin3\theta=a\cos\theta$ and $\cos3\theta=b\sin\theta$
algebra-precalculus
trigonometry
$\max(a,b)=\frac{a+b+|a-b|}{2}$ generalization
algebra-precalculus
functions
Proving that matrix in equation is invertible
matrices
algebra-precalculus
How to prove or disprove $\forall x\in\Bbb{R}, \forall n\in\Bbb{N},n\gt 0\implies \lfloor\frac{\lfloor x\rfloor}{n}\rfloor=\lfloor\frac{x}{n}\rfloor$.
algebra-precalculus
proof-writing
proof-explanation
ceiling-and-floor-functions
Solve $x^x=2x$ where $x\in\mathbb C$.
algebra-precalculus
How to prove that the problem cannot be solved by the four Arithmetic Operations?
algebra-precalculus
geometry
trigonometry
irrational-numbers
How $\frac{1}{n}\sum_{i=1}^n X_i^2 - \bar X^2 = \frac{\sum_{i=1}^n (X_i - \bar X)^2}{n}$
algebra-precalculus
statistics
summation
Is it true that $\left(-\frac{1}{64}\right)^{-\frac 43}=256$? [duplicate]
algebra-precalculus
exponentiation
rational-numbers
fake-proofs
paradoxes
Circles generated by three-fold iterations $f(x)=\frac{1}{1-x}$
linear-algebra
algebra-precalculus
geometry
numerical-methods
circles
Dodecahedron and golden ratio algebra
algebra-precalculus
polyhedra
golden-ratio
Simplify the expression $\binom{n}{0}+\binom{n+1}{1}+\binom{n+2}{2}+\cdots +\binom{n+k}{k}$ [duplicate]
algebra-precalculus
binomial-coefficients
binomial-theorem
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