Grigory M
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 Jan2 revised Prove that $2\sqrt{n}\sqrt{n+1} < 2n + 1$ for all positive integers. edited tags Jan2 revised If a is not relatively prime to n prove modulo property edited tags Jan2 revised Solve in integers: $x^2 = y^2 + y + 1$ edited tags Jan2 revised Prove that $x^2 + y^2 = 3(z^2 + m^2)$ has no solutions in integer edited tags Jan2 revised Is this version of Lagrange's four-square theorem true? edited tags Jan2 revised Solve $x^4 - 2x^3 + x = y^4 + 3y^2 + y \wedge (x,y) \in \mathbb{Z}^2$ edited tags Jan2 revised Calculate $\log_{a}(ab)$, when $\log_{ab}(b)$ is known edited tags Jan2 revised Determine the number of integral solutions of the equation edited tags Jan2 revised Why Is $y^{-1}$ = $\frac{1}{y^1}$? edited tags Jan2 revised Can the difference of two Harmonic numbers be an integer? edited tags Jan2 revised step function which is function of the variables edited tags Jan2 revised Prove that the function is continuous at n where n is an integer, but discontinuous elsewhere. edited tags Jan2 revised Solution to the heat equation with mixed boundary conditions and step function. edited tags Jan2 revised Using dirac delta functions to get $h(t)$ that satisfies $[u(t+1/2)-u(t-1/2)] \ast h(t) = [u(t+6)-u(t+2)]$ where $u(t)$ is unit-step function edited tags Jan2 revised Calculating integral of step function edited tags Jan2 revised Convolution of sine and unit step function edited tags Jan2 revised Step function from inverse tangent edited tags Jan2 revised how to use linear programming for Heaviside Step function and L1 norm? edited tags Jan2 revised Very challenging: max{floor,ceil}=? edited tags Jan2 revised Making a Piecewise Function a Single Function edited tags