in numerical linear algebra, the gauss–seidel method, also known as the liebmann method or the method of successive displacement, is an iterative method used to solve a linear system of equations.it is named after the german mathematicians carl friedrich gauss and philipp ludwig von seidel, and is similar to the jacobi method.though it can be applied to any matrix with non-zero elements on .
a coilgun or gauss rifle is a type of projectile accelerator consisting of one or more coils used as electromagnets in the configuration of a linear motor that accelerate a ferromagnetic or conducting projectile to high velocity. in almost all coilgun configurations, the coils and the gun barrel are arranged on a common axis.
the gauss, symbol g sometimes gs , is a unit of measurement of magnetic b-field. it is part of the gaussian system of units, which inherited it from the older emu-cgs system. it was named after german mathematician and physicist carl friedrich gauss in 1936. one gauss is defined as one maxwell per square centimeter.
high-variance learning methods may be able to represent their training set well but are at risk of overfitting to noisy or unrepresentative training data. in contrast, algorithms with high bias typically produce simpler models that don't tend to overfit but may underfit their training data, failing to capture important regularities.
in probability theory and statistics, a gaussian process is a stochastic process a collection of random variables indexed by time or space , such that every finite collection of those random variables has a multivariate normal distribution, i.e. every finite linear combination of them is normally distributed. the distribution of a gaussian process is the joint distribution of all those .
high-g training is done by aviators and astronauts who are subject to high levels of acceleration 'g' . it is designed to prevent a g-induced loss of consciousness g-loc , a situation when the action of g-forces moves the blood away from the brain to the extent that consciousness is lost.
this led to the model a design, which began construction in 1952. it was made from 5-centimetre 2.0 in pyrex tubes about 350 cm 11.5 ft in total length, and magnets capable of about 1,000 gauss. the machine began operations in early 1953 and clearly demonstrated improved confinement over the simple torus.
the earliest form of regression was the method of least squares, which was published by legendre in 1805, and by gauss in 1809. legendre and gauss both applied the method to the problem of determining, from astronomical observations, the orbits of bodies about the sun mostly comets, but also later the then newly discovered minor planets .
the page of gauss' laboratory notebook containing both his code and the first message transmitted, as well as a replica of the telegraph made in the 1850s under the instructions of weber are kept in the faculty of physics at the university of göttingen, in germany. gauss was convinced that this communication would be a help to his kingdom's towns.
the least-squares method is usually credited to carl friedrich gauss 1795 , but it was first published by adrien-marie legendre 1805 . 2 problem statement. 4 solving the least squares problem. 4.1 linear least squares. 4.2 non-linear least squares. 4.3 differences between linear and nonlinear least squares. 5 regression analysis and statistics.
carl friedrich gauss was the first to derive the gauss-legendre quadrature rule, doing so by a calculation with continued fractions in 1814. he calculated the nodes and weights to 16 digits up to order n=7 by hand. carl gustav jacob jacobi discovered the connection between the quadrature rule and the orthogonal family of legendre polynomials.
carl friedrich gauss 1777–1855 is the eponym of all of the topics listed below. there are over 100 topics all named after this german mathematician and scientist, all in the fields of mathematics, physics, and astronomy. the english eponymous adjective gaussian is pronounced / ˈɡaʊsiən / gowss-i-ən. comparison between 2-point gaussian .
this is a list of notable programming s, grouped by type. since there is no overarching classification scheme for programming s, in many cases, a will be listed under multiple headings. array programming also known as vector or multidimensional s generalize operations on scalars to apply transparently to .
this page lists examples of magnetic induction b in teslas and gauss produced by various sources, grouped by orders of magnitude . traditionally, magnetizing field h, is measured in amperes per meter. magnetic induction b also known as magnetic flux density has the si unit tesla t or wb/m 2 . one tesla is equal to 10 4 gauss.
johann carl friedrich gauss / ɡ aʊ s /; german: gauß ˈkaʁl ˈfʁiːdʁɪç ˈɡaʊs ; latin: carolus fridericus gauss; 30 april 1777 – 23 february 1855 was a german mathematician and physicist who made significant contributions to many fields in …
the general electric gau-8/a avenger is a 30 mm hydraulically driven seven-barrel gatling-style autocannon that is typically mounted in the united states air force 's fairchild republic a-10 thunderbolt ii. designed specifically for the anti-tank role, the avenger delivers very powerful rounds at a high rate of fire.
a van de graaff generator is an electrostatic generator which uses a moving belt to accumulate electric charge on a hollow metal globe on the top of an insulated column, creating very high electric potentials. it produces very high voltage direct current dc electricity at low current levels.
degaussing is the process of decreasing or eliminating a remnant magnetic field. it is named after the gauss , a unit of magnetism , which in turn was named after carl friedrich gauss . due to magnetic hysteresis , it is generally not possible to reduce a magnetic field completely to zero, so degaussing typically induces a very small 'known' field referred to as bias.
gauss remained mentally active into his old age, even while suffering from gout and general unhappiness. for example, at the age of 62, he taught himself russian. in 1840, gauss published his influential dioptrische untersuchungen, in which he gave the first systematic analysis on the formation of images under a paraxial approximation gaussian optics .