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zed111
  • Member for 10 years, 7 months
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20 votes

Proof of the inequality $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b} \geq \frac{3}{2}$

6 votes

The largest number that will perfectly divide $101^{100}–1$

6 votes
Accepted

Explain this inequality, related to logarithms

5 votes

Solving for $r$ in ${12\choose{r}}=924$

4 votes
Accepted

Prove that a prime $p$ can be represented as the difference of two cubes if and only if it is of the form $p = 3k(k+1) + 1$ for some $k$.

3 votes

How to solve this simple yet troublesome differential equation

3 votes

Finding the number of ways of picking three cards

3 votes
Accepted

Proving a basic cyclotomic identity

3 votes

Question regarding a imaginary number problem

3 votes

How do we deduce that $c_1 \phi_1(x)+c_2 \phi_2(x)$ is a solution of the specific initial value problem?

3 votes

Changing order of integration in cylindrical coordinates

3 votes

If angular velocity $\omega=\sqrt{\frac{3g\sin\theta}{2a}}$ can I find angular acceleration $\alpha$ by differentiating $\omega$?

3 votes
Accepted

Find algebraic function to describe number of people "x"

2 votes

Calculus - inequality problem.

2 votes
Accepted

Why isn't $\int \frac{1}{x}dx$ not defined?

2 votes

Find the acute angle made by vector $OC$ and the x-axis.

2 votes

Locus of the Orthocenter of the Traingle

2 votes
Accepted

Show that if $a$ is odd, $r \geq 3$, and $x^2 \equiv a \pmod {2^r}$, then $x^2 \equiv 1 \pmod 8$.

2 votes

Count bulbs in ON state

2 votes
Accepted

Integrating $\prod_{i=k+1}^{kN} \left(\int_{-\infty}^{\infty}dp_i\right)\times$ with conditions on $p_i$

2 votes

What is the value of $\left\{\frac{3^{1001}}{82}\right\}$

1 vote

Use reduction of order to find a solution of the given nonhomogeneous equation.

1 vote

Prove $ab\leq F(a)+G(b),~~\text{for all}~a\geq 0$ and $b\geq 0$

1 vote
Accepted

How Can Taking The Derivative Of A Definite Integral Produce A Sum of A Term Similar To The Integrand and Another Integral With A Similar Integrand

1 vote
Accepted

Any linear function sooner or later dominates a log function?

1 vote

multiplying term on sum

1 vote

Let $p$ be a prime of the form $p=2^k+1$. Prove that $\mathbb{Z}_p$ has $2^{k-1}$ primitive roots.

1 vote

Find the scalar projection point with dot product

0 votes
Accepted

How do I use Einstein notation to propose a rule for $MX=0$ and proving it's linear?

0 votes
Accepted

When can we write $f(v)dv=f(E)dE$?