X-Nico

unusual facts about Differential



Adomian

Adomian decomposition method, for solving differential equations, developed by George

Applications of the calculus of variations

Finite element method is a variational method for finding approximate solutions to boundary value problems in differential equations.

Arieh Iserles

He studied at the Hebrew University of Jerusalem and Ben-Gurion University of the Negev and wrote his PhD dissertation on numerical methods for stiff ordinary differential equations.

Ataxia telangiectasia

Ataxia-telangiectasia like disorder (ATLD) is an extremely rare condition, caused by mutation in the hMre11 gene, that could be considered in the differential diagnosis of A-T.

ATP6V1F

Subunit F is a 16 kDa protein that is required for the assembly and activity of V-ATPase, and has a potential role in the differential targeting and regulation of the enzyme for specific organelles.

Blaschke

Wilhelm Blaschke (1885–1962), an Austro-Hungarian differential and integral geometer

Brouwer fixed-point theorem

The theorem was first studied in view of work on differential equations by the French mathematicians around Poincaré and Picard.

Calabi conjecture

Calabi transformed the Calabi conjecture into a non–linear partial differential equation of complex Monge–Ampere type, and showed that this equation has at most one solution, thus establishing the uniqueness of the required Kähler metric.

Common mode

Common-mode rejection ratio, the ratio of rejection of common mode signals to differential signals

Crop mark

Cropmarks, in archaeology: differential growth indicating buried sites

Decomposition method

Domain decomposition methods in mathematics, numerical analysis, and numerical partial differential equations

Delay line

Bi-directional delay line, a numerical analysis technique used in computer simulation for solving ordinary differential equations by converting them to hyperbolic equations

Diamond T 980

With a single dry-plate clutch, It had a four-speed manual constant-mesh transmission plus a similar three-speed auxiliary gearbox, for a total of twelve forward and three reverse speeds, driving through Timken double-reduction differentials.

Differential interference contrast microscopy

Differential interference contrast (DIC) microscopy, also known as Nomarski Interference Contrast (NIC) or Nomarski microscopy, is an optical microscopy illumination technique used to enhance the contrast in unstained, transparent samples.

Differential nonlinearity

Differential linearity is desirable and is inherent to a system such as a single-slope analog-to-digital convertor used in nuclear instrumentation.

Differential topology

Differential topology is the study of the (infinitesimal, local, and global) properties of structures on manifolds having no non-trivial local moduli, whereas differential geometry is the study of the (infinitesimal, local, and global) properties of structures on manifolds having non-trivial local moduli.

Smooth manifolds are 'softer' than manifolds with extra geometric structures, which can act as obstructions to certain types of equivalences and deformations that exist in differential topology.

Eikonal

Eikonal equation, a non-linear partial differential equation encountered in problems of wave propagation.

Einstein–Brillouin–Keller method

for example, the work of Eric J. Heller and Emmanuel David Tannenbaum using a partial differential equation gradient descent approach.

Erlangen program

Heinrich Guggenheimer (1977) Differential Geometry, Dover, NY, ISBN 0-486-63433-7.

Exact solutions in general relativity

With sufficiently clever assumptions of this sort, it is often possible to reduce the Einstein field equation to a much simpler system of equations, even a single partial differential equation (as happens in the case of stationary axisymmetric vacuum solutions, which are characterized by the Ernst equation) or a system of ordinary differential equations (as happens in the case of the Schwarzschild vacuum).

Fisher information metric

Shun'ichi Amari (1985) Differential-geometrical methods in statistics, Lecture notes in statistics, Springer-Verlag, Berlin.

Focal dermal hypoplasia

The differential diagnosis of focal dermal hypoplasia (Goltz) syndrome includes autosomal recessive Setleis syndrome due to TWIST2 gene mutations.

Forest Ray Moulton

The crater Moulton on the Moon, the Adams-Moulton methods for solving differential equations and the Moulton plane in geometry are named after him.

Franklin Jacobs

it remains the record for height differential, now held jointly with Stefan Holm, and the record for jump at highest rate of one's size.

Franz Rellich

He studied from 1924 to 1929 at the universities of Graz and Göttingen and received his doctor's degree in 1929 under Richard Courant at Georg August University of Göttingen with the thesis about "Verallgemeinerung der Riemannschen Integrationsmethode auf Differentialgleichungen n-ter Ordnung in zwei Veränderlichen" ("Generalization of Riemann's integration method on differential equations of n-th order in two variables").

Gabriel Kron

In Fiji he had finished, and buried, Treatise on Differential Equations by Forsyth.

Hi-Q

HiQ (math software) is a differential analyzer application currently sold by National Instruments

History of chromatography

The earliest use of chromatography—passing a mixture through an inert material to create separation of the solution components based on differential adsorption—is sometimes attributed to German chemist Friedlieb Ferdinand Runge, who in 1855 described the use of paper to analyze dyes.

Interest rate cap and floor

The overheads, and in particular the processing costs can drive the price differential between larger loans from banks and smaller loans from MFIs.

J. Presper Eckert

Mauchly's proposal for building an electronic digital computer using vacuum tubes, many times faster and more accurate than the differential analyzer for computing ballistics tables for artillery, caught the interest of the Moore School's Army liaison, Lieutenant Herman Goldstine, and on April 9, 1943 was formally presented in a meeting at Aberdeen Proving Ground to director Colonel Leslie Simon, Oswald Veblen, and others.

Journal of Hyperbolic Differential Equations

The Journal of Hyperbolic Differential Equations was founded in 2004 and carries papers pertaining to nonlinear hyperbolic problems and related mathematical topics, specifically on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics.

Lie derivative

In 1931, Władysław Ślebodziński introduced a new differential operator, later called by David van Dantzig that of Lie derivation, which can be applied to scalars, vectors, tensors and affine connections and which proved to be a powerful instrument in the study of groups of automorphisms.

LM13700

The LM13700 is like a standard op-amp: each has a pair of differential inputs and a single output, but an OTA is voltage in and current out rather than voltage in and voltage out; and OTAs are programmable via the IABC pin.

Lotus 18

Further contributing to the weight advantage was the adoption of lightweight sequential manual transmission originally developed for Lotus 12 by Richard Ansdale and Harry Mundy incorporating the unique sequential-shifting gearbox and a ZF limited slip differential in a common Magnesium alloy housing to form a transaxle, which also provided the mounting points for inboard rear brakes.

Mathematical analysis

Poisson, Liouville, Fourier and others studied partial differential equations and harmonic analysis.

Mathieu wavelet

In 1868, the French mathematician Émile Léonard Mathieu introduced a family of differential equations nowadays termed Mathieu equations.

Mikhail Kravchuk

His two-volume monograph on the solution of linear differential and integral equations by the method of moments was translated circa 1938-1942 by John Vincent Atanasoff who found this work useful in his computer-project (Atanasoff–Berry Computer).

Mixed martial arts weight classes

With no state or government laws regarding weight class restrictions, Japanese organizations are free to schedule bouts with little regard for weight differential.

Monge–Ampère equation

Gilbarg, D. and Trudinger, N. S. Elliptic Partial Differential Equations of Second Order. Berlin: Springer-Verlag, 1983.

Operational transconductance amplifier

The operational transconductance amplifier (OTA) is an amplifier whose differential input voltage produces an output current.

Painlevé

Painlevé transcendents/property, Ordinary differential equation solutions discovered by Paul Painlevé.

Richard von Mises

Richard von Mises, Philipp Frank, Heinrich Weber, Bernhard Riemann, Die Differential- und Integralgleichungen der Mechanik und Physik, 1925, 1930.

Riemann invariant

Riemann invariants are constant along the characteristic curves of the partial differential equations where they obtain the name invariant.

Riemann's differential equation

In mathematics, Riemann's differential equation, named after Bernhard Riemann, is a generalization of the hypergeometric differential equation, allowing the regular singular points to occur anywhere on the Riemann sphere, rather than merely at 0, 1, and ∞.

Saginaw 9.5-inch axle

The Saginaw 9.5-inch axle is an automotive axle manufactured by American Axle & Manufacturing, Inc. This differential has three major variants.

Surface wave

Green function, a function used to solve inhomogeneous differential equations subject to boundary conditions.

Tricomi

Francesco Tricomi (1897–1978), Italian mathematician famous for his studies on mixed type partial differential equations

Vlasov equation

The Vlasov equation is a differential equation describing time evolution of the distribution function of plasma consisting of charged particles with long-range (for example, Coulomb) interaction.


see also