Newbetuts

Other Idea to show an inequality $\dfrac{1}{\sqrt 1}+\dfrac{1}{\sqrt 2}+\dfrac{1}{\sqrt 3}+\cdots+\dfrac{1}{\sqrt n}\geq \sqrt n$

The Hexagonal Property of Pascal's Triangle

What are the theorems in mathematics which can be proved using completely different ideas?

$p=4n+3$ never has a Decomposition into $2$ Squares, right?

Finding $\int \frac{dx}{a+b \cos x}$ without Weierstrass substitution.

Proving the Mean Value Theorem Without Rolle's Theorem

Uniqueness of solution for a specific ode

Characterization of positive definite matrix with principal minors

A $\{0,1\}$-matrix with positive spectrum must have all eigenvalues equal to $1$

Alternative proofs that $A_5$ is simple

Is there an idempotent element in a finite semigroup?

A freshman's dream

Help understand the proof of infinitely many primes of the form $4n+3$

Surprisingly elementary and direct proofs

Is it technically incorrect to write proofs forward?

A limit problem $\lim\limits_{x \to 0}\frac{x\sin(\sin x) - \sin^{2}x}{x^{6}}$

New posts in alternative-proof

Ended Competition: What is the shortest proof of $\exists x \forall y (D(x) \to D(y)) $?

The equation $x^3 + y^3 = z^3$ has no integer solutions - A short proof

Prove $\int_0^1\frac{x^{2n}}{1+x}dx=\ln2+H_n-H_{2n}$

New bound for Am-Gm of 2 variables

Other Idea to show an inequality $\dfrac{1}{\sqrt 1}+\dfrac{1}{\sqrt 2}+\dfrac{1}{\sqrt 3}+\cdots+\dfrac{1}{\sqrt n}\geq \sqrt n$

The Hexagonal Property of Pascal's Triangle

What are the theorems in mathematics which can be proved using completely different ideas?

$p=4n+3$ never has a Decomposition into $2$ Squares, right?

Finding $\int \frac{dx}{a+b \cos x}$ without Weierstrass substitution.

Proving the Mean Value Theorem Without Rolle's Theorem

Uniqueness of solution for a specific ode

Characterization of positive definite matrix with principal minors

A $\{0,1\}$-matrix with positive spectrum must have all eigenvalues equal to $1$

Alternative proofs that $A_5$ is simple

Is there an idempotent element in a finite semigroup?

A freshman's dream

Help understand the proof of infinitely many primes of the form $4n+3$

Surprisingly elementary and direct proofs

Is it technically incorrect to write proofs forward?

A limit problem $\lim\limits_{x \to 0}\frac{x\sin(\sin x) - \sin^{2}x}{x^{6}}$