MSE Questions & Answers + mirrors 2015

  • Torsion and curvature of the curve $X(t) = (at, bt^2, ct^3)$ & mirror
  • Distribution theory and differential equations. & mirror
  • Find an analytic function that maps the angle $-\pi/4<\operatorname{arg}(z)<\pi/2$ onto the upper half plane so that $w(1-i)=2,w(i)=-1$, and $w(0)=0$ & mirror
  • Intersection of two parameterized curves& mirror
  • Proof of the extrinsic to intrinsic rotation transform& mirror
  • Linearising thermal radiation& mirror
  • What is the *middle* digit of $3^{100000}$? & mirror
  • Simplify Laplace equation in rectangle geometry & mirror
  • Approximating piecewise linear function & mirror
  • What does it mean to represent a number in term of a $2\times2$ matrix? & mirror
  • Application of operator theory in ODE and PDE
  • Is there a generalization of the Lagrange polynomial to 3D? & mirror
  • Is there an established method for assigning a truth value $0<t<1$ to undecidable statements? & mirror
  • Confusion about order of operations with point-in-tetrahedron formula & mirror
  • Irrational numbers in reality & mirror
  • I cannot make the mental leap from a vector to a function!
  • Determining conic section equation given foci and sum of distance to each point & mirror
  • Finding value of 1 variable in a 3-variable $2^{nd}$ degree equation & mirror
  • If such $1+4\sin{10^\circ}=a+b\sin{c^\circ}$ How find this integer $a,b$ & mirror
  • General Solution for the Gravity Between Two 3D Triangles & mirror
  • How prove this diophantine equation $(x^2-y)(y^2-x)=(x+y)^2$ have only three integer solution? & mirror
  • In the regular hexagon tell each area,But How find this length with $B_{i}B_{i+1}$? & mirror
  • Advanced beginners textbook on Lie theory from a geometric viewpoint
  • Matlab code for finding the curvature of a curve using given data points & mirror
  • Finding a harmonic function given some details & mirror
  • How to properly apply the Lie Series & mirror
  • Exponential of a function times derivative & mirror
  • What is the difference between partial and normal derivatives? & mirror
  • Intuition behind variational principle & mirror
  • Kolmogorov's probability axioms
  • How to solve $B = x^c - (1 - x)^c$ & mirror
  • Simplifying to Linear Differential Operator? & mirror
  • Find equation for circle related to a triangle & mirror
  • Find solution to system of differential equations with initial conditions & mirror
  • Indefinite double integral & mirror
  • cyclic three variable inequality & mirror
  • General ODE question & mirror
  • Taking limit inside integration
  • What is the probability that a natural number is a sum of two squares? & mirror
  • $n$th derivative of $e^{-x^2}$
  • spherical segment volume
  • Scale vector in scaled pivoting (numerical methods) & mirror
  • Solution of $y''+xy=0$ & mirror
  • Why are nodes and nodal sets called this way?
  • Computing Ancestors of # for Stern-Brocot Tree & mirror
  • Cauchy-Schwarz Hermitian Inner Product Remainder & mirror
  • An analogous definition of Fourier transform $\hat f(u) = \int_{-\infty}^{+\infty} f(t) \exp(- i u t) dt$ for sinc-function.
  • Scalar product invariance & mirror
  • Is there a (deep) relationship between these various applications of the exponential function? & mirror
  • Find the approximation for the interpolation of $f(x)$ by a polynomial of second degree & mirror
  • Determine whether a point lies inside the curve or outside a random curve using pencil and scale & mirror
  • How to simplify $\frac{\partial^m}{\partial y_i^m}\mathrm{div }(A\nabla u({\bf x}({\bf y})))$ & mirror
  • How to derive these Lie Series formulas & mirror
  • Triple integral associated with sum of three cubes probability & mirror
  • Confusion about the integral $\int dT/(1-T^2)$ & mirror
  • Uniform Probability and Riemann Sum & mirror
  • What is the integral of $e^{a\cdot x+b\cdot y}$ evaluated _under_ the Koch Curve & mirror
  • Is this serious Mathematics? & mirror
  • Computability, Continuity and Constructivism & mirror
  • Ambiguous matrix representation of imaginary unit? & mirror

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