MSE Questions & Answers + mirrors 2017

  • Confusion with the various forms of the equation of second degree & mirror
  • Prove conjecture $a_{n+1}>a_{n}$ if $a_{n+1}=a+\frac{n}{a_{n}}$ & mirror
  • Derivates of $f(x,y)=|x| + |y| − ||x| − |y||.$
  • Notation regarding integral curves and vector fields
  • Place the numbers by their size. & mirror
  • Saturated damped harmonic oscillator & mirror
  • Why do we subtract things to find the area using the definite integral? & mirror
  • Constructing a certain rational number (Rudin) & mirror
  • Understand 1D FEM solution using quadratics elements & mirror 2013
  • Generalized parabolic interpolation & mirror
  • On the role of applied PDE analysts in non-academic R&D workplaces & mirror
  • Second Order and Beyond for Multivariable Taylor Series & mirror
  • Finding invariants of infinitesimal transformation
  • Use of partial derivatives as basis vector
  • Boundary conditions for 2D navier stokes equation (incompressible, stationary) & mirror
  • What is the difference between Finite Difference Methods, Finite Element Methods and Finite Volume Methods for solving PDEs? & mirror
  • An “isomorphism” between continuous and discrete mathematics & mirror
  • Idempotent and similar matrix using Einstein notation & mirror
  • Find the error in theta for noisy points in $R^2$ & mirror
  • To what function does this series converge? & mirror
  • Catenary curve for minimum surface of revolution & mirror
  • $a^{|b-a|}+b^{|c-b|}+c^{|a-c|} > \frac52$ for $a,b,c >0$ and $a+b+c=3$ & mirror
  • Is the following limit finite …? & mirror
  • Value of $y=\sqrt{4 + \sqrt[3]{4+\sqrt[4]{4+\sqrt[5]{4+\ldots}}}}$ & mirror
  • Laplace transform of $f(t)=\frac{\sin(t)}t$ for $t>0$, $f(t)=0$ for $t \le 0$ & mirror
  • A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent & mirror

  • Error $\Delta A$ in Least Squares best fit of data to hyperbola $y=B/(x-A)$ & mirror
  • Jacobian determinant for bi-linear Quadrilaterals & mirror
  • Quadrilateral Finite Elements must be convex and not self-intersecting. But why? & mirror
  • How to construct symmetric and positive definite $A,B,C$ such that $A+B+C=I$? & mirror
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