MSE Questions & Answers + mirrors 2014

  • “Bad” Mathematics in Movies
  • Reference on constructing preconditions (beginner level)
  • How prove this inequality $\frac{2}{(a+b)(4-ab)}+\frac{2}{(b+c)(4-bc)}+\frac{2}{(a+c)(4-ac)}\ge 1$ & mirror
  • Evaluating the limit of $\sqrt[2]{2+\sqrt[3]{2+\sqrt[4]{2+\cdots+\sqrt[n]{2}}}}$ when $n\to\infty$ & mirror
  • How find the value of the $x+y$ & mirror
  • Is it possible to consider an approximation to a (non-self adjoint) operator with a self adjoint one?
  • Problem 6 - IMO 1985 & mirror
  • The standard role of intuitive numbers in the foundations of mathematics
  • a problem in application of conformal mappings & mirror
  • An Inequality Problem with not nice conditions & mirror
  • Doubly infinite sequence limit
  • Find min of $\frac{\left( \sum kx_k \right) \left( \sum x^2_k \right)}{\left( \sum x_k \right)^3}$ doit LATER eventually
  • How find this value $\frac{S_{\Delta ABC}}{\overrightarrow{OA}\cdot\overrightarrow{OB}}$ doit LATER eventually
  • Instantaneous Axis Of Rotation & mirror
  • Exponential of a function times derivative & mirror
  • How prove this inequality $\sum\limits_{cyc}\frac{x+y}{\sqrt{x^2+xy+y^2+yz}}\ge 2+\sqrt{\frac{xy+yz+xz}{x^2+y^2+z^2}}$ & mirror
  • What is wrong with this method for a rotated and shifted parabola? & mirror
  • how to find the equation of one curve in XY plan which satisfies such functions?
  • getting curl from gradient & mirror
  • Express parametric curve as graph of a function & mirror
  • How to find the minimum value of this function? & mirror
  • Directional Derivatives using Polar Coordinates
  • How find this sum $\sum_{ab+cd=2^m}ac=?$ & mirror
  • Applications of conformal mapping & mirror
  • Inhomogeneous 2nd-order linear differential equation & mirror
  • Proving that for each two parabolas, there exists a transformation taking one to the other & mirror
  • Commutator of Vector Fields & mirror
  • How find this equation integer solution:$x^2y^2=4x^5+y^3$ & mirror
  • How prove this inequality $\sum\limits_{cyc}\frac{a^2}{b(a^2-ab+b^2)}\ge\frac{9}{a+b+c}$ & mirror
  • How to prove this inequality(7)? & mirror
  • Why are Galerkin methods/FEMs used for solving PDEs and rather not ODEs?
  • Practical applications of first order exact ODE? & mirror
  • Find Minimum value of $P=\frac{1}{1+2x}+\frac{1}{1+2y}+\frac{3-2xy}{5-x^2-y^2}$ & mirror
  • Need some facts about Newton-Schulz iterative method and its application to sparse matrices & mirror
  • Find the velocity of a flow
  • Is it still possible for mathematicians to contribute to the theory of music? & mirror
  • Distribution and second order differential inequality
  • Indefinite integral with sector of ellipse & mirror
  • Find a smooth function with prescribed moments & mirror
  • Using a multivariate chain rule to solve a partial differential equation
  • When do equations represent the same curve? & mirror
  • When is 2d sparse numerical integration by Voronoi regions better than using triangular mesh elements & mirror
  • How fat is a triangle? & mirror
  • Discretization of v*(du/dx)
  • Hands of the clock, Revisited. & mirror
  • The area of the region $|x-ay| \le c$ for $0 \le x \le 1$ and $0 \le y \le 1$ & mirror
  • Direct formula for area of a triangle formed by three lines, given their equations in the cartesian plane. & mirror
  • How prove this inequality $\sqrt{(2a+1)^2+(2b-\frac{\sqrt{3}}{3})^2}+\sqrt{(2a-1)^2+(2b-\frac{\sqrt{3}}{3})^2}+\cdots$ & mirror
  • Rotate secondary vanishing points to the primary vanishing points to find new length of object
  • Local minimum of $\sqrt[x]{n\over v-x+1}$
  • Finding the critical points in a constrained optimization problem using the Lagrangian
  • How find this system equation & mirror
  • Can someone provide an example of Lebesgue integration on ordinary functions?
  • Why do we use the term “equivalent” with Operators but “equal” with Functions?
  • Inner product of functions as integration
  • Evaluation of $\sqrt{\frac12+\sqrt{\frac14+\sqrt{\frac18+\cdots+\sqrt{\frac{1}{2^n}}}}}$ & mirror
  • Example of a Problem Made Easier with Skew Coordinates & mirror
  • Find the inverse function of $\log_{\sqrt{4-x^2} } \left(x^3+5x^2-x \right)$ & mirror
  • Evaluate $\int_0^{\pi/2} \frac{\ln\left(e^{2x} + 1\right)}{1 + \sin2x}\mathrm dx$ & mirror
  • Closed-form of infinite continued fraction involving factorials & mirror
  • Examples of useful, insightful, and interesting hand-waving
  • Limit of $\lim_{x\rightarrow 1}\sqrt{x-\sqrt[3]{x-\sqrt[4]{x-\sqrt[5]{x-…}}}}$ & mirror
  • What is the chance that a PDF with compact support is concave? & mirror
  • Indefinite integral with sector of ellipse & mirror
  • Maximum of parabolas at interval $[0,1]$ & mirror
  • Does a sequence of moments determine the function? & mirror
  • Can a polygon with minimal perimeter self-intersect? & mirror
  • What exactly are the curves that are a best fit to the Harmonic Cantilever? & mirror
  • What is the cone of the conic section? & mirror
  • Why is (European) money in units of $1,2,5,10,20,50, \cdots\;$? & mirror
  • Backward from infinity? & mirror
  • Does MAPLE not simplify correctly or am I goofing?
  • Can monsters of real analysis be tamed in this way? & mirror
  • Does this limit exist and if so what is it's value? & mirror
  • Could this be called Renormalization? & mirror
  • Double Think about Numerosity & mirror
  • How to prove this property of a projective transformation?
  • Integral of exponential integral & mirror
  • Real valued function associated with the Diophantine equation $a^2(2^a-a^3)+1=7^b$ & mirror
  • What is the slope of the tangent at $(0,0)$ on the curve $x^2 y^2 = 4 x^5 + y^3$ & mirror
  • Does Graphical evidence count as / contribute to a Proof in Mathematics?
  • Why does Group Theory not come in here? & mirror
    •