MSE publications / references in 2013

• percentage of numbers starting with 2 in {2ⁿ}
• How to compute [ a certain limit ]
• Equivalence of integral and sum
• Result of a definite Integral
• Determine the stability of (x,y) = (0,0) Construct a Liapunov function for this system
• The intersections of three polygons in a square with area = 6
• The inner workings of the Olbers paradox
• Show that [ multiple integral < ∞ ]
• .. from a contest
• Find all permutations in increasing order + MIRROR
• Finding the limit of ..
• How to prove this .. + MIRROR
• Are there any open mathematical puzzles?
• What is the purpose of sets? Why do we use them?
• how to find center/radius of a sphere
• Deriving a relation using the Cauchy Schwarz inequality
• Integral ..
• How many methods to this limit ..
• inequality ..
• How to work out a double summation without manually finding each answer?
• Limit of the integral of ..
• Simple algorithm to get the square of an integer using only addition?
• Is there any simple method to calculate √ 2 without using logarithm
• Outer Unit Normal: Cylinder
• How find this value of x+y+z+u+v+w
• Delta function that obeys inverse square law outside its (-1; 1) range and has no 1/0 infinity + MIRROR
• Solving x^x = 1/√2
• Evaluate the sum of cubes
• Solving the recurrence T(n) = 2T(n/2) + (n/2)log(n)
• find inscribed ellipses in quads
• Can't solve this problem .. (Without using L'Hospital's rule)
• construct x =ab by using compass alone, if a and b are given segments.
• Finding x+y+z
• Reverse of number (numerical)
• Proof by induction: An equation with binomial coefficients
• Proving the regular n-gon maximizes area for fixed perimeter.
• Volume of a sphere with three holes drilled in it.
• prove the general arithmetic-geometric mean inequality
• Proving a condition related to normal on ellipse
• Relationship between solutions of y'''+y=0
• Volume of a cuboid whose diagonal and surface area is known
• What shape is traced out by this animation?
• A generalization of IMO 1983 problem 6
• Fastest curve from p₀ to p₁ + MIRROR
• The cheapest offcut carpet to buy for two rooms word problem
• Differential - Aproximation to ΔA (area variation)
• Solid Angle Calculation - Understanding a formula
• solve the ODE I tried all methods
• What is the meaning of infinitesimal?
• How to prove that .. [duplicate]
• Torricelli's Law
• Differential equations solveable independently of coordinate system? + MIRROR
• Polar coordinates differential equation
• [Elementary set theory question]
• Center of Mass of Quadrilateral
• Finding the centroid of a polar curve
• Converting triangles to isosceles, equilateral or right??? + MIRROR
• Decomposable Families of Shapes
• Determine third point of triangle when two points and all sides are known?
• Why are two definitions of ellipses equivalent?
• Why do all *cevians* of a triangle intersect?
• Is there any equation for triangle? + MIRROR
• Help me to solve this recurrence relation for a closed form
• Divergence theorem in spherical coordinates + MIRROR
• Time and Work: pipe and cistern related problem
• How prove this inequality x+y+z=3
• What's the largest possible volume of a taco, and how do I make one that big?
• Proof of [an intersting inequality]
• Conjecture [outcome of a complicated integral]
• Mminimize the integral and obtaining the constants a and b
• Optimisation of a rectangles area under a function curve
• Nature of stability of critical points
• Elaboration of calculus in finitistic maths
• Proving Goldbach's conjecture (hypothetically)
• What is the maximum area of a square inscribed in an equilateral triangle?
• Parametric equation of x^y = y^x curve
• Understand 1D FEM solution using quadratics elements + MIRROR
• Proving an inequality using the Cauchy-Schwarz inequality
• Find the integer n
• Recurrence Relation.
• Significance of starting the Fibonacci Series with 0,1..
• how do i calculate coordinates of point on rectangle based on angle
• Help with the chain rule h(t)=f(t,X(t))
• How to make sense of this calculus notation, Advanced College Level
• Given a plot of a function f(x) how to find at which points it is differentiable? + MIRROR
• Differentiating second order term of Taylor polynomial (multivariable) + MIRROR
• Commutativity of iterated limits + MIRROR
• Cauchy distribution instead of Coulomb law? + MIRROR
• Gauss-Newton Method
• Intersection of canal surface with line
• Wolfram not doing sum Fibonacci[k]/k! , k=1 to infinity
• Find the area of a circle that is inscribed in a circular sector with a radius R and an angle 2x .
• Rationalizing radicals
• Finding limit of sin π 3^x / x as x → 0
• How find this g(x)=f(x)f(1-x) maximum and minimum
• How to differentiate Complex Fluid Potential + MIRROR
• Recurrence sequence limit
• How to define the Nabla-Operator
• Korea Math Olympiad 1993
• Regular pentagon and tangent lines
• Integral Equation without solution?
• Linear Algebra in curved space
• Value of sum of telescoping series
• Navier-Stokes equations in tensorial form on a general coordinate system
• Let c : I → R³ be a regularly parametrized curve with curvature κ = 0
• Fourier Series Coefficient of a given signal
• solution to a cauchy euler form 2nd order
• Projection of ellipsoid
• How to calculate a trigonometric interpolation polynomial
• Discretisation of ordinary differential equations for a linear filter design.
• What is the derivation of an integral?
• Minimum area of the parallelepiped surface (excellent answer!)
• Finding Polar Area Problem
• Fractional Derivative of a Taylor Series?
• Rationalizing radicals
• To prove the inequality of two positive variables
• How to find this sum [ formula ]
• Should a "good" equation divide the plane?
• Help finding the general solution of a (partial?) differential equation.
• Find Weight for minimum Manhattan Distance
• Why is this is the derivative?
• Limit of a harmonic subseries minus "its" logarithm
• General strategy to solve systems of 4 variables after using lagrange method?
• Determinant of symmetric tridiagonal matrices
• Evaluating a series involving inverse of sinh(nπ)
• What is the focal width of a parabola?
• [ matrix to the power 2013 = ? ]
• Evaluating Double Integral [ triangular section of a sphere ]
• limit for applying of sin operation n times and multiplying the result by square root of n
• How to find this limit [ square root of square root of .. ]
• How to construct longitudinal from transversal waves and vice versa? + MIRROR
• What does it mean being one-to-one
• Complete proof derivative with limit
• Differential operators confussion
• Line integrals for a circle
• Linear isoparametrics with dual finite elements + MIRROR
• How can I find the orthogonal trajectories of curves
• Minimum of a sum
• How find the possible eigenvalue of P
• Linear independence of a modified system
• Which formula will calculate values shown in this graph?
• Area of the shaded region
• When do repeated intervals of time overlap?
• Rectangle with coordinates of all vertices Fibonacci numbers
• Wave-Particle Duality in PDE?
• [ another difficult limit solved ]
• trace of the matrix I+M+M^2 is
• if [ equation] then prove [ solution]
• Formality and mathematics
• Counting the number of polygons in a figure
• How to prove there exists c such f(c)f'(c)+f"(c)=0
• m be the number of distinct non congruent integer sided triangles each with perimeter 15
• How prove this inequality [ difficult formula ] + MIRROR
• Are systems of equations inherently "more expressible" than single equations?
• Triple Integral with bounds in first octant
• How to find the expresion such that its derivative must meet a certain condition
• How to convert a right angled triangle into a equilateral triangle?
• Find the area enclosed by [ difficult equation ] + LATER
• How to find this limit: A= [ difficult formula ] + MIRROR
• Rectangle with coordinates of all vertices Fibonacci numbers
• Cutting up a circle to make a square
• Does cardinality really have something to do with the number of elements in a infinite set?
• Integrating strips normal to the curve
• Find the area of the region which is the union of three circles
• What type of Math and how to solve (points and distance)
• Iterated Limits Schizophrenia + MIRROR
• Surprising identities / equations
• How to identify surfaces of revolution
• How to determine that a surface is symmetric
• How prove this inequality [ formula, for x+y+z = 1 ]
• A "What's my vector?" game
• Why do odd dimensions and even dimensions behave differently?
• An inequality containing prime numbers.
• (Dis)prove that this system has only integral solutions.
• How find this [ difficult looking surface integral ]
• Unit diameter pentagons with maximum area
• Flow Graphs: Why do you need the symmetry property of a graph?
• Show that there is (a,b) s.t. f_x(a,b)² + f_y(a,b)² < 4
• max and min xy - ln(x²+y²)
• How do I guess an intital step length in a line search (minimization)?
• Leibniz' Law and that good old riddle + MIRROR
• How can triangle inequality be extended to become tetrahedron inequality?
• Defining what a proposition is is in propositional logic
• Find the velocity field of ideal fluid that has a sink strength of 2πk using complex analysis.
• Any clue how to solve this convolution integral?