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https://mathworld.wolfram.com/SphericalTriangle.html Spherical Triangle -- from Wolfram MathWorld A spherical triangle is a figure formed on the surface of a sphere by three great circular arcs intersecting pairwise in three vertices. The spherical triangle... spherical triangle wolfram mathworld https://mathworld.wolfram.com/FamilyofCurves.html Family of Curves -- from Wolfram MathWorld A set of curves whose equations are of the same form but which have different values assigned to one or more parameters in the equations. Families of curves... family curves wolfram mathworld https://mathworld.wolfram.com/UlamMap.html Ulam Map -- from Wolfram MathWorld f(x)=1-2x^2 for x in [-1,1]. Fixed points occur at x=-1, 1/2, and order 2 fixed points at x=(1+/-sqrt(5))/4. The natural invariant of the map is... ulam map wolfram mathworld https://mathworld.wolfram.com/BoronTree.html Boron Tree -- from Wolfram MathWorld boron tree wolfram mathworld https://mathworld.wolfram.com/Polynomial.html Polynomial -- from Wolfram MathWorld A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. A polynomial in one variable (i.e., a... polynomial wolfram mathworld https://mathworld.wolfram.com/UnitaryAliquotSequence.html Unitary Aliquot Sequence -- from Wolfram MathWorld An aliquot sequence computed using the analog of the restricted divisor function s^*(n) in which only unitary divisors are included. unitary aliquot sequence wolfram mathworld https://mathworld.wolfram.com/SchursProblem.html Schur's Problem -- from Wolfram MathWorld Schur (1916) proved that no matter how the set of positive integers less than or equal to |_n!e_| (where |_x_| is the floor function) is partitioned into n... problem wolfram mathworld https://mathworld.wolfram.com/OverdampedSimpleHarmonicOscillator.html Overdamped Simple Harmonic Oscillator -- from Wolfram MathWorld simple harmonic oscillator wolfram mathworld https://mathworld.wolfram.com/Layer.html Layer -- from Wolfram MathWorld layer wolfram mathworld https://mathworld.wolfram.com/GausssAreaFormula.html Gauss's Area Formula -- from Wolfram MathWorld gauss area formula wolfram mathworld https://mathworld.wolfram.com/MilnesMethod.html Milne's Method -- from Wolfram MathWorld A predictor-corrector method for solution of ordinary differential equations. The third-order equations for predictor and corrector are y_(n+1) =... method wolfram mathworld https://mathworld.wolfram.com/GeodeticNumber.html Geodetic Number -- from Wolfram MathWorld Let I(x,y) denote the set of all vertices lying on an (x,y)-graph geodesic in G, then a set S with I(S)=V(G) is called a geodetic set in G and is denoted g(G). geodetic number wolfram mathworld https://mathworld.wolfram.com/ReciprocalPermutation.html Reciprocal Permutation -- from Wolfram MathWorld reciprocal permutation wolfram mathworld https://mathworld.wolfram.com/AgnesisWitch.html Agnesi's Witch -- from Wolfram MathWorld agnesi witch wolfram mathworld https://mathworld.wolfram.com/GaugeTheory.html Gauge Theory -- from Wolfram MathWorld Gauge theory studies principal bundle connections, called gauge fields, on a principal bundle. These connections correspond to fields, in physics, such as an... gauge theory wolfram mathworld https://mathworld.wolfram.com/DollarParadox.html Dollar Paradox -- from Wolfram MathWorld dollar paradox wolfram mathworld https://mathworld.wolfram.com/Triangle.html Triangle -- from Wolfram MathWorld A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the... triangle wolfram mathworld https://mathworld.wolfram.com/DiagonalParadox.html Diagonal Paradox -- from Wolfram MathWorld Consider the length of the diagonal of a unit square as approximated by piecewise linear steps that may only be taken in the right and up directions.... diagonal paradox wolfram mathworld https://mathworld.wolfram.com/TetragonalTrapezohedron.html Tetragonal Trapezohedron -- from Wolfram MathWorld The tetragonal trapezohedron is the dual of the square antiprism. For a square antiprism with unit edge lengths, the edge lengths of the corresponding... wolfram mathworld https://mathworld.wolfram.com/Apodization.html Apodization -- from Wolfram MathWorld The application of an apodization function. wolfram mathworld https://mathworld.wolfram.com/CPGraph.html CP Graph -- from Wolfram MathWorld cp graph wolfram mathworld https://mathworld.wolfram.com/TauDirichletSeries.html Tau Dirichlet Series -- from Wolfram MathWorld Ramanujan's Dirichlet L-series is defined as f(s)=sum_(n=1)^infty(tau(n))/(n^s), (1) where tau(n) is the tau function. Note that the notation F(s) is sometimes... tau dirichlet series wolfram mathworld https://mathworld.wolfram.com/WebersDiscontinuousIntegrals.html Weber's Discontinuous Integrals -- from Wolfram MathWorld weber integrals wolfram mathworld https://mathworld.wolfram.com/One-to-OneFunction.html One-to-One Function -- from Wolfram MathWorld one function wolfram mathworld https://mathworld.wolfram.com/LagrangianCoefficient.html Lagrangian Coefficient -- from Wolfram MathWorld Coefficients which appear in Lagrange interpolating polynomials where the points are equally spaced along the abscissa. lagrangian coefficient wolfram mathworld https://mathworld.wolfram.com/McMahonsTheorem.html McMahon's Theorem -- from Wolfram MathWorld mcmahon theorem wolfram mathworld https://mathworld.wolfram.com/ImaginaryUnit.html Imaginary Unit -- from Wolfram MathWorld The imaginary number i=sqrt(-1), i.e., the square root of -1. The imaginary unit is denoted and commonly referred to as "i." Although there are two possible... imaginary unit wolfram mathworld https://mathworld.wolfram.com/AreaHyperbolicCosine.html Area Hyperbolic Cosine -- from Wolfram MathWorld area hyperbolic cosine wolfram mathworld https://mathworld.wolfram.com/CoefficientofVariation.html Coefficient of Variation -- from Wolfram MathWorld coefficient variation wolfram mathworld https://mathworld.wolfram.com/FactorRing.html Factor Ring -- from Wolfram MathWorld factor ring wolfram mathworld https://mathworld.wolfram.com/PongHauKi.html Pong Hau K'i -- from Wolfram MathWorld Pong Hau K'i is an ancient Chinese tic-tac-toe-like game involving two players with two differently colored stones (say, red and blue). The players move their... pong hau k wolfram mathworld https://mathworld.wolfram.com/WLDimension.html WL Dimension -- from Wolfram MathWorld wl dimension wolfram mathworld https://mathworld.wolfram.com/DefiniteIntegral.html Definite Integral -- from Wolfram MathWorld A definite integral is an integral int_a^bf(x)dx (1) with upper and lower limits. If x is restricted to lie on the real line, the definite integral is known as... integral wolfram mathworld https://mathworld.wolfram.com/StandardizedScore.html Standardized Score -- from Wolfram MathWorld standardized score wolfram mathworld https://mathworld.wolfram.com/TetrakisHexahedralGraph.html Tetrakis Hexahedral Graph -- from Wolfram MathWorld The tetrakis hexahedral graph is Archimedean dual graph which is the skeleton of the disdyakis triacontahedron. It is implemented in the Wolfram Language as... graph wolfram mathworld https://mathworld.wolfram.com/ParabiaugmentedHexagonalPrism.html Parabiaugmented Hexagonal Prism -- from Wolfram MathWorld The parabiaugmented hexagonal prism is a convex equilateral solid that is Johnson solid J_(56). The parabiaugmented hexagonal prism has volume... hexagonal prism wolfram mathworld https://mathworld.wolfram.com/DisconnectedSpace.html Disconnected Space -- from Wolfram MathWorld A topological space that is not connected, i.e., which can be decomposed as the disjoint union of two nonempty open subsets. Equivalently, it can be... disconnected space wolfram mathworld https://www.mathworldacademy.us/ MathWorld Academy | Your Trusted Online Tutoring in Cary & Private Tutoring in Morrisville MathWorld Academy is your gateway to academic success! We offer expert online tutoring in Cary and private tutoring in Morrisville for math, physics, and more.... trusted online mathworld academy tutoring cary https://mathworld.wolfram.com/Antibipyramid.html Antibipyramid -- from Wolfram MathWorld wolfram mathworld https://mathworld.wolfram.com/topics/InverseProblems.html Inverse Problems -- from Wolfram MathWorld inverse problems wolfram mathworld https://mathworld.wolfram.com/PedalPoint.html Pedal Point -- from Wolfram MathWorld The fixed point with respect to which a pedal curve or pedal triangle is drawn. pedal point wolfram mathworld https://mathworld.wolfram.com/PowerSeries.html Power Series -- from Wolfram MathWorld A power series in a variable z is an infinite sum of the form sum_(i=0)^inftya_iz^i, where a_i are integers, real numbers, complex numbers, or any other... power series wolfram mathworld https://mathworld.wolfram.com/TuckerHexagon.html Tucker Hexagon -- from Wolfram MathWorld A Tucker hexagon is a hexagon inscribed in a reference triangle that has sides which are alternately parallel and antiparallel to the corresponding sides of... tucker hexagon wolfram mathworld https://mathworld.wolfram.com/Degree-DiameterProblem.html Degree-Diameter Problem -- from Wolfram MathWorld A (Delta,D)-graph is a graph with maximum vertex degree Delta and diameter at most D. The order of a graph with degree Delta of diameter D is bounded by... degree diameter problem wolfram mathworld https://mathworld.wolfram.com/CubanPrime.html Cuban Prime -- from Wolfram MathWorld The cuban primes, named after differences between successive cubic numbers, have the form n^3-(n-1)^3. The first few are 7, 19, 37, 61, 127, 271, ... (OEIS... cuban prime wolfram mathworld https://mathworld.wolfram.com/MonochromaticForcedTriangle.html Monochromatic Forced Triangle -- from Wolfram MathWorld monochromatic forced triangle wolfram mathworld https://mathworld.wolfram.com/Intension.html Intension -- from Wolfram MathWorld A definition of a set by mentioning a defining property. wolfram mathworld https://mathworld.wolfram.com/RegularSpace.html Regular Space -- from Wolfram MathWorld According to most authors (e.g., Kelley 1955, p. 113; McCarty 1967, p. 144; Willard 1970, p. 92) a regular space is a topological space in which every... regular space wolfram mathworld https://mathworld.wolfram.com/classroom/Congruence.html Congruence -- from the MathWorld Classroom from the congruence mathworld classroom