MSE Questions & Answers + mirrors 2016

  • Enumerative combinatorics applications in Computer Science
  • Intuition behind steps in formulating Finite Element Method
  • What is the difference between Finite Difference Methods, Finite Element Methods and Finite Volume Methods for solving PDEs? & mirror
  • Upwind differencing scheme in Finite Volume Method (FVM) & mirror
  • What does shear mean? & mirror
  • How to prove that $a^2b+b^2c+c^2a \leqslant 3$, where $a,b,c >0$, and $a^ab^bc^c=1$ & mirror
  • Efficient ways of minimizing a complicated objective “function”? & mirror
  • Future learning for a math graduate in applied mathematics references
  • Bessel-like inequality
  • Commutativity of iterated limits & mirror
  • Prove $\frac{xy}{5y^3+4}+\frac{yz}{5z^3+4}+\frac{zx}{5x^3+4} \leqslant \frac13$ & mirror
  • Prove $\sqrt[2]{x+y}+\sqrt[3]{y+z}+\sqrt[4]{z+x} <4$ & mirror
  • Computing a three-dimensional Lebesgue measure of a bounded set & mirror
  • Prove $\sum\limits_{cyc}\left(\frac{a^4}{a^3+b^3}\right)^{\frac34} \geqslant \frac{a^{\frac34}+b^{\frac34}+c^{\frac34}}{2^{\frac34}}$ & mirror
  • Problem with finding Karush-Kuhn-Tucker points and checking for global or local minima.
  • Weight Modification for Computationally-Efficient Nonlinear Least Squares Optimization
  • $x,y,z \geqslant 0$, $x+y^2+z^3=1$, prove $x^2y+y^2z+z^2x < \frac12$ & mirror
  • Olympiad Inequality $\sum\limits_{cyc} \frac{x^4}{8x^3+5y^3} \geqslant \frac{x+y+z}{13}$ & mirror
  • Help me find the solution to the IVP in implicit form? & mirror
  • Model for spread of infection, with vaccination & mirror
  • How to solve the following system $\frac{\text{d}x}{\text{d} t} = -Ax + \frac{B}{y} - C$, $ \frac{\text{d}y}{\text{d} t} = -Dx + \frac{E}{y} - F$
  • A Proportion Question & mirror
  • prove $f(x,y) \le 3 $ & mirror
  • Serendipitous mathematical discoveries in recent times
  • Suppose I have some vector, how can I get a vector containing the nth order interaction terms of its elements?
  • Need help with proof for Dedekind cuts on $\mathbb{Q}^+$ & mirror
  • What is the degree of the differential equation $\left|\frac{dy}{dx}\right| + \left|y\right| = 0$?
  • Dependencies of various of areas of mathematics
  • Finite Element on surfaces: evaluate solution
  • Where is the wild use of the Dirac delta function in physics justfied? & mirror
  • In which sense does Cauchy-Riemann equations link complex- and real analysis? & mirror
  • Solving for streamlines from numerical velocity field & mirror
  • Laplace transform for dummies & mirror
  • Rigorous definition of “differential”
  • Why doesn't a simple mean give the position of a centroid in a polygon? & mirror
  • Is there an easy way to determine a point from its barycentric coordinates geometrically? & mirror
  • Division of regular tetrahedron & mirror
  • Internal angle bisectors and right-angled triangle?
  • Missing $1/r$ factor in gradient of polar function & mirror
  • Formal Power Series as Linear Operators & mirror
  • Derivation of the Curl formula in cartesian coordinates. & mirror
  • Maximum value $c$ s.t. $\exists$ a subset $S$ of $\{z_1,z_2,\ldots,z_n\}$ s.t. $\left|\sum_{z\in S}z\right|\geq c$ ($\sum_{i=1}^{n}|z_i|=1$). & mirror
  • Any employment for the Varignon parallelogram? & mirror
  • Quadrilateral Interpolation & mirror
  • Non-Euclidean Geometrical Algebra for Real times Real? & mirror
  • Irrationals yet as ordered pairs of rationals? & mirror
  • Additive functions and measure theory & mirror
  • What is the determinant of exp(matrix)? [duplicate]
  • Is any real-valued function in physics somehow continuous? & mirror

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