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Videos uploaded by user “wolframmathematica”

00:53
http://demonstrations.wolfram.com/TheGrahamClockEscapement The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. A clock escapement regulates the progress of the gear train that eventually moves the clock hands. The escapement effectively counts the number of swings made by the pendulum. The escapement in this Demonstration is the Graham dead-beat escapement. The ... Contributed by: Erik Mahieu Audio created with WolframTones: http://tones.wolfram.com
Views: 5895 wolframmathematica

00:25
http://demonstrations.wolfram.com/RealEllipticCurves/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The intersection of the surface z = x^3 - a y^2 + b x y^2 + c x^2 y with the plane z = A x + B gives an elliptic curve or its degenerate form. The intersection curve is illustrated in real space. Contributed by: Zubeyir Cinkir
Views: 3189 wolframmathematica

00:35
http://demonstrations.wolfram.com/ARotatingReuleauxTriangle/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. A Reuleaux triangle is a curve of constant width formed from an equilateral triangle by joining each pair of vertices with a circular arc centered at the third vertex (each radius is equal to the side length of the triangle). A Reuleaux triangle can be ... Contributed by: Chris Boucher
Views: 17154 wolframmathematica

00:57
http://demonstrations.wolfram.com/RotatingAHypercubeIn4D The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration gives a variety of animated rotations of a hypercube in 4D projected to 3D. The axis (set of fixed points) in a 4D rotation is a plane. As a simple example, stop the animation and set all the angles to zero. Drag the first slider; thi... Contributed by: Gerard Balmens Audio created with WolframTones: http://tones.wolfram.com
Views: 1240 wolframmathematica

00:33
http://demonstrations.wolfram.com/SimulatingVehicleSuspensionWithASimplifiedQuarterCarModel The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The simplified quarter-car suspension model is basically a mass-spring-damper system with the car serving as the mass, the suspension coil as the spring, and the shock absorber as the damper. This Demonstration lets you explore the affect of different s... Contributed by: Erik Mahieu
Views: 19163 wolframmathematica

00:17
http://demonstrations.wolfram.com/CylindricalCam/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. A ball is set into in a skewed groove of a cylinder. When the cylinder rotates, the walls of the groove act as cams and move the ball up and down, which in turn moves a guided bar. This arrangement is a way of producing linear from rotational motion. Contributed by: Sandor Kabai
Views: 40057 wolframmathematica

00:33
http://demonstrations.wolfram.com/FortescuesTheoremForAThreePhaseUnbalancedSystem The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. In 1918, C. L. Fortescue stated his theorem: N unbalanced phasors can be represented by N systems of N balanced phasors. Sequence components were created to facilitate calculations in unbalanced circuits and systems. Using the theory of symmetrical comp... Contributed by: Daniel Motter Audio created with WolframTones: http://tones.wolfram.com
Views: 2845 wolframmathematica

00:25
http://demonstrations.wolfram.com/WankelRotaryEngineEpitrochoidalEnvelopes The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration gives an animation of an epitrochoid and associated planetary-motion envelope curve. The configuration shown has applications in the internal combustion engines invented by Felix Wankel and popularized by Mazda in RX-7 and RX-8 cars. ... Contributed by: Tony Kelman
Views: 5105 wolframmathematica

00:31
http://demonstrations.wolfram.com/DupinsIndicatrixOfATorus The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration shows how Dupin's indicatrix changes at a variable point on a torus. In the tangent plane at a point p of a surface M, Dupin's indicatrix is given by the equation ?_1x^2+?_2y^2=1, where the x, y axes coincide with the principal direc... Contributed by: Sonja Gorjanc and Desana ?tambuk
Views: 1695 wolframmathematica

01:13
http://demonstrations.wolfram.com/DenavitHartenbergParametersForAThreeLinkRobot The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The Denavit-Hartenberg (DH) convention for assigning coordinate frames uses four variables to define the reference coordinate frame for each link in a robotic arm. This Demonstration lets you select a three-link combination of revolute (rotating) ... Contributed by: Aaron T. Becker and Mary Burbage Audio created with WolframTones: http://tones.wolfram.com
Views: 1199 wolframmathematica

00:25
http://demonstrations.wolfram.com/WarburgImpedance The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The Warburg impedance W is the diffusional impedance for 1D linear diffusion. This Demonstration shows the Randles equivalent circuit, taking into account the electrolyte resistance R_e, the charge transfer resistance R_ct, and the double layer capacita... Contributed by: Quang-Dao Trinh
Views: 2564 wolframmathematica

00:34
http://demonstrations.wolfram.com/LamesEllipsoidAndMohrsCirclesPart1/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Starting from the values of the main stresses, this Demonstration displays both the surface (Lame's ellipsoid) made by all the stresses in 3D and the values of the intrinsic components of those stresses, using Mohr's circles. Contributed by: Luis Martin Yague, Agustin Lacort, and Antxon Sanchez Parandiet After work by: Eugenio Bravo Sevilla
Views: 6297 wolframmathematica

00:17
http://demonstrations.wolfram.com/OldhamCoupling/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. A disk with perpendicular grooves on opposite faces is placed between two shafts. Each shaft has a tongue that fits into the grooves of the disk. This arrangement is used in the Oldham coupling for transferring torque between two parallel but noncolline... Contributed by: Sandor Kabai
Views: 24909 wolframmathematica

00:24
http://demonstrations.wolfram.com/ParabolicTroughSolarConcentrator The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Designing a parabolic trough solar concentrator requires specifying: ? the collector aperture, ? the focal length, ? the size of the tube located at focus, ? the degrees out of focus possible before the trough needs to be refocused. This Demonstration w... Contributed by: Dr. Rolfe A. Leary and Kevin Nimerfro Additional contributions by: Jaebum Jung
Views: 32331 wolframmathematica

00:34
http://demonstrations.wolfram.com/TheMysteryOfTheDisappearingSquare/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Consider the eight orange triangles, four brown pieces, and four squares assembled into the large square shown. By using the slider you can reassemble them into the same large square, but with the middle square missing. Where has it gone? Contributed by: Jaime Rangel-Mondragon
Views: 28522 wolframmathematica

00:21
http://demonstrations.wolfram.com/BloodSpatterTrigonometry/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. A moving droplet of blood will eventually hit a surface. At the initial instance of contact, the spherical droplet will be tangent to the intercepting surface. The type of spatter the blood droplet leaves on the surface strongly depends on its direction... Contributed by: George Beck Additional contributions by: Ed Pegg Jr
Views: 1840 wolframmathematica

00:17
http://demonstrations.wolfram.com/ConnectingSkewAxlesWithHyperboloidalGears The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Gears shaped like hyperboloids can be used to build a transmission between skew axles. With a given "skew angle" (the angle between the axles), the eccentricity of two hyperboloids whose axes of symmetry coincide with these axles can be found such that ... Contributed by: Mark Peterson Audio created with WolframTones: http://tones.wolfram.com
Views: 9793 wolframmathematica

00:21
http://demonstrations.wolfram.com/AnamorphicPrisms/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Anamorphic prisms are wedge-shaped prism elements that are commonly used to correct the asymmetric beam shape of a laser diode from elliptical to nearly circular in shape. The prisms can expand or contract the beam in one direction without any changes i... Contributed by: Ann Williamson and Donald Barnhart (Optica Software, a division of iCytTM Mission Technology)
Views: 2571 wolframmathematica

00:57
http://demonstrations.wolfram.com/PlotsOfZernikePolynomials The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration shows a 2D contour plot and a choice of 3D plots: a revolution plot, a shadow plot, stereo pairs of the revolution plots, or x and y profiles for various orthonormal Zernike circle polynomials Z_j(?,?). In the 3D plots, you can choose... Contributed by: James C. Wyant Audio created with WolframTones: http://tones.wolfram.com
Views: 3431 wolframmathematica

00:28
http://demonstrations.wolfram.com/ErrorDiffusionDitherPatterns/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. To approximate a gray level on a display with only black or white pixels requires an algorithm which turns pixels on or off to achieve the correct average overall level. Change the kernel or the parameters to see different ways to diffuse the "error" ac... Contributed by: Stephen Wolfram
Views: 2183 wolframmathematica

00:25
http://demonstrations.wolfram.com/CycloidFromARollingEllipse The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. As a circle rolls along a straight line, a point on the circle's rim traces a curve called a cycloid. Variations occur if the point is inside the circle or outside on an arm attached to the circle. This Demonstration extends these variations by allowing... Contributed by: Kenny F. Stephens II Audio created with WolframTones: http://tones.wolfram.com
Views: 631 wolframmathematica

00:20
http://demonstrations.wolfram.com/PartialStandingWaves The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration shows an interactive dynamic plot of the partial standing wave generated by two sinusoids of equal speed and frequency traveling in opposite directions. The forward and backward traveling waves are initialized to have amplitudes 1 and... Contributed by: Justin Dove
Views: 1002 wolframmathematica

00:29
http://demonstrations.wolfram.com/GeodesicsOfATorusSolvedWithAMethodOfLagrange The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. A geodesic is the equivalent of a straight line on a surface; locally a geodesic is the shortest path between two points. Lagrange's method can be used to find the differential equations describing the geodesic for a torus, which are then solved with Ma... Contributed by: Gerard Balmens Audio created with WolframTones: http://tones.wolfram.com
Views: 1486 wolframmathematica

00:25
http://demonstrations.wolfram.com/RiemannZetaFunctionNearTheCriticalLine/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. See the values of the Riemann zeta function near the critical line in the complex plane. The height of the surface gives the absolute value; the color gives the phase. Contributed by: Michael Trott and Stephen Wolfram
Views: 10927 wolframmathematica

00:25
http://demonstrations.wolfram.com/RouletteHypotrochogonOfAPolygonRollingInsideACircle The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration shows the roulette drawn by a point attached to a regular polygon rolling without slipping inside a circle. This roulette curve is a sequence of circular arcs traced by the polygon when rolling along the edge of the circle. For genera... Contributed by: Erik Mahieu Audio created with WolframTones: http://tones.wolfram.com
Views: 35 wolframmathematica

00:32
http://demonstrations.wolfram.com/TheParametrizedSzilassiPolyhedron/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The following steps construct a seven-faced regular toroid, the Szilassi polyhedron. Contributed by: Lajos Szilassi (University of Szeged, Hungary) and Sandor Kabai
Views: 610 wolframmathematica

00:32
http://demonstrations.wolfram.com/TheSixDegreesOfFreedomOfADiatomicMolecule The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. For a diatomic molecule at sufficiently high temperatures, the equipartition of energy theorem distributes an equal portion of the energy, equal to ( 1 ) / ( 2 ) k_BT, among each quadratic term in the Hamiltonian. Here k_B is the Boltzmann constant and ... Contributed by: Enrique Zeleny
Views: 9152 wolframmathematica

00:29
http://demonstrations.wolfram.com/RollerBearing/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The inner ring of a roller bearing is fastened to a rotating shaft. The outer ring is usually fixed to a stationary machine part (indicated with a transparent cylinder in this Demonstration). Alternatively, the inner ring may be stationary, and the oute... Contributed by: Sandor Kabai
Views: 20958 wolframmathematica

00:35
http://demonstrations.wolfram.com/BeadOnARotatingWire/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. A bead on a rotating wire is a classic problem in the physics subfield of classical dynamics. A circular wire hoop rotates at a constant angular velocity while a bead, constrained to move only on the wire hoop, moves under the influence of gravity. The ... Contributed by: Ryan K. Smith (Wolfram Research)
Views: 9099 wolframmathematica

00:21
http://demonstrations.wolfram.com/BuildAFrustum The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration lets you set the height and the upper and lower radii of a frustum and shows a diagram of the material you would have to cut to cover the lateral curved part of the frustum. All measurements are in mm. Contributed by: Nick James Audio created with WolframTones: http://tones.wolfram.com
Views: 2993 wolframmathematica

00:21
http://demonstrations.wolfram.com/OffsetSliderCrankMechanism The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. A slider-crank mechanism can be used to convert rotary motion into linear motion or vice-versa. In this Demonstration, the constant angular speed of a crank is converted into the variable linear speed of a sliding block, forced to stay on a straight lin... Contributed by: Erik Mahieu Audio created with WolframTones: http://tones.wolfram.com
Views: 6107 wolframmathematica

00:29
http://demonstrations.wolfram.com/SquareHoleDrillInThreeDimensions/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. One can combine the use of a Reuleaux triangle to make a square-hole drill with an Oldham coupling to make a drill that has one end following pure circular motion, while the other end has a cutting tool that follows an exact square. This idea appeared i... Contributed by: Stan Wagon (Macalester College)
Views: 72874 wolframmathematica

00:41
http://demonstrations.wolfram.com/LubricatedAndFrictionalSqueezingFlow The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration illustrates the theoretical roles that friction, geometry, and rheological properties of a liquid play in idealized squeezing flow between perfectly parallel plates. It calculates and displays the force for Newtonian and pseudoplastic... Contributed by: Mark D. Normand and Micha Peleg
Views: 486 wolframmathematica

00:29
http://demonstrations.wolfram.com/MappingLinesAndCirclesOntoTheRiemannSphere The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. One of the great miracles of mathematics is the fact that an infinitely extended plane, which is densely packed with complex numbers, can be mapped onto a sphere with radius ( 1 ) / ( 2 ) and hence an area of ?. Here you can see a decent fraction of the... Contributed by: Hans-Joachim Domke
Views: 6030 wolframmathematica

00:29
http://demonstrations.wolfram.com/MoirePatternsAndCommensurabilityInRotatedGrapheneBilayers The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration shows the appearance of Moire patterns in hexagonal lattice systems as you rotate a honeycomb layer on top of another identical layer by an angle ?. The rotation angle ? can be freely chosen or, as done in this Demonstration, specifie... Contributed by: Jessica Alfonsi Audio created with WolframTones: http://tones.wolfram.com
Views: 1193 wolframmathematica

00:24
http://demonstrations.wolfram.com/RadioPropagationAndMultipathWithDiversityAntennas The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration shows the propagation between two antennas of heights h_1 and h_2 above ground and the effect of multipath radiation from the ground bounce. The result is multiple nulls or actual fades. It also show the result of adding a diversity a... Contributed by: Allen Hollister
Views: 3143 wolframmathematica

00:37
http://demonstrations.wolfram.com/DynamicModelOfPandemicInfluenzaWithAgeStructureAndVaccinatio The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration presents a 50-dimensional nonautonomous compartmental SEIR-based model with age structure to study the effect of age-specific scheduling of vaccination during a pandemic influenza outbreak, specifically when there is a race between th... Contributed by: Diana Hulman-Knipl, Adam Hulman Additional contribution by: Janos Karsai, Gergely Rost (University of Szeged, Hungary) Audio created with WolframTones: http://tones.wolfram.com
Views: 475 wolframmathematica

00:29
http://demonstrations.wolfram.com/JilesAthertonModelOfMagneticHysteresis The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The Jiles-Atherton model of magnetic hysteresis is used to calculate minor and major hysteresis loops from physical parameters of isotropic magnetic materials. Five parameters are considered: M_s (saturation magnetization), c (magnetization revers... Contributed by: Santosh Kumar and Tarun Tummuru Audio created with WolframTones: http://tones.wolfram.com
Views: 1216 wolframmathematica

00:32
http://demonstrations.wolfram.com/ImpedanceOfAMicroDiskMicroelectrode The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. For the macroelectrode, one can use the Warburg impedance to describe the diffusion coefficient. This Demonstration shows the analytical solution for the diffusional impedance of a micro-disk electrode. It is a function of frequency, kinetics, concentra... Contributed by: Quang-Dao Trinh
Views: 319 wolframmathematica

00:25
http://demonstrations.wolfram.com/Loxodrome/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. If a point moves on the surface of a sphere so that it maintains a constant angle to a pole, then its path follows a spherical spiral (or a rhumb line). On a general surface of revolution, a point making a constant angle with the the meridians (the inte... Contributed by: Sandor Kabai and Gabor Gevay
Views: 2929 wolframmathematica

00:25
http://demonstrations.wolfram.com/TimeEvolutionOfAShortCircuitCurrent The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. When a short circuit occurs in a power system, the time evolution of the fault current depends mainly on the system's X-R (reactance to resistance) ratio and on the fault occurrence angle (measured relative to the system's voltage) [1]. This Demonstrati... Contributed by: GISENER Audio created with WolframTones: http://tones.wolfram.com
Views: 700 wolframmathematica

00:24
http://demonstrations.wolfram.com/BreakthroughCurvesForAdsorptionWithLongitudinalDiffusionAssu/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. An important unit operation in biotechnology and chemical engineering is fixed-bed adsorption. Contributed by: Housam Binous
Views: 3356 wolframmathematica

00:21
http://demonstrations.wolfram.com/EllipticalDrive/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. An intermediate point of a bar moves along a circle, while one end of the bar is guided to move linearly. This can be used to convert rotational motion to linear motion. The far end of the bar moves along a closed curve whose shape, size and location ch... Contributed by: Sandor Kabai
Views: 5949 wolframmathematica

00:29
http://demonstrations.wolfram.com/PentagonTilings/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. In 1918, K. Reinhardt discovered five different families of convex pentagons that could tile the plane (1-5). This was the complete list until 1968, when Richard Kershner wrote about three more families of tiling pentagons (6-8). Martin Gardner wrote ab... Contributed by: Ed Pegg Jr
Views: 2179 wolframmathematica

00:25
http://demonstrations.wolfram.com/NurembergScissors/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Bars are hinged together in the middle and more scissors are added to form an extendable mechanism. A device designed with this principle was used on the Surveyor Moon landers to scoop up soil for testing. Contributed by: Sandor Kabai and Szaniszlo Berczi
Views: 2541 wolframmathematica

00:24
http://demonstrations.wolfram.com/SphericalPlainBearing/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. A shaft is inserted in a truncated sphere, which is held by a split bearing cap. The cap has a spherical hollow portion that forms a spherical plain bearing. The word "plain" means that it has no other rolling components. This kind of bearing lets the s... Contributed by: Sandor Kabai
Views: 8140 wolframmathematica

00:33
http://demonstrations.wolfram.com/ApproximatingAckermannSteeringGeometryWithATrapezoidalLinkag The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Ackermann geometry is a theoretical model for a steering system that has zero slip. It is achieved when all four wheels of a car are perpendicular to the same turning circle center. This Demonstration uses a common approximation for Ackermann geometry: ... Contributed by: David Askins-Gast Audio created with WolframTones: http://tones.wolfram.com
Views: 4650 wolframmathematica

00:33
http://demonstrations.wolfram.com/PositiveContactClawClutch The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Claws are established at the ends of two shafts to be coupled. By moving one of the shafts in axial direction the claws of the clutch are meshed to close. If part of the claws on one of the shaft is made of resilient material, then the clutch can cope w... Contributed by: Sandor Kabai Audio created with WolframTones: http://tones.wolfram.com
Views: 9650 wolframmathematica

01:13
http://demonstrations.wolfram.com/TamariAttractor The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The Tamari attractor (from the economist Ben Tamari) is a three-dimensional attractor that models the economic situation of a country. Contributed by: Enrique Zeleny Audio created with WolframTones: http://tones.wolfram.com
Views: 625 wolframmathematica

00:21
http://demonstrations.wolfram.com/PipeFlange The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Detachable pipe joints are often made with flanges. The flanges are usually welded to the pipe ends and are connected with bolts (not shown). A gasket is placed between the flanges to make the joint tighter. Contributed by: Sandor Kabai and Mate Salat Audio created with WolframTones: http://tones.wolfram.com
Views: 7584 wolframmathematica