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2 unusual facts about Gauss–Markov


Gauss–Markov

The Gauss–Markov theorem in mathematical statistics (In this theorem, one does not assume the probability distributions are Gaussian.)

Park test

Homoscedasticity, one of the basic Gauss–Markov assumptions of ordinary least squares linear regression modeling, refers to equal variance in the random error terms regardless of the trial or observation, such that


Ace Combat: Assault Horizon

Bishop keeps Markov locked in a duel, eventually ending up at the White House; Markov manages to fire the missile before being shot down and killed, but Bishop manages to intercept it and destroy it harmlessly onto the Tidal Basin.

Boris Markov

Boris Markov (March 7, 1924, village Khitekushkan' (now Tautovskoye Rural Settlement, Alikovsky District, Chuvash Republic) Chuvash AO, USSR - March 25, 1977, Moscow, USSR) - Soviet, Chuvash actor and theater director, People Artist of the Russia, People Artist of the Chuvash Republic, the founder and first director of the Chuvash State Ballet&Opera Theatre.

Boris Markov was born and spent children's and youthful years in Khitekushkan' village ((Tautovskoye Rural Settlement)) of the Alikovsky District of the Chuvash ASSR.

Chess puzzle

Many famous mathematicians have studied such problems, including Euler, Legendre, and Gauss.

Christian Gauss

Gauss influenced and corresponded frequently with F. Scott Fitzgerald and Edmund Wilson.

Compass-and-straightedge construction

Probably Gauss first realized this, and used it to prove the impossibility of some constructions; only much later did Hilbert find a complete set of axioms for geometry.

Contact dynamics

The evaluation of these inequalities/inclusions is commonly done by solving linear (or nonlinear) complementarity problems, by quadratic programming or by transforming the inequality/inclusion problems into projective equations which can be solved iteratively by Jacobi or Gauss–Seidel techniques.

Digital topology

A digital form of the Gauss–Bonnet theorem is: Let M be a closed digital 2D manifold in direct adjacency (i.e. a (6,26)-surface in 3D).

Divergence theorem

Two examples are Gauss' law (in electrostatics), which follows from the inverse-square Coulomb's law, and Gauss' law for gravity, which follows from the inverse-square Newton's law of universal gravitation.

Dynamic Markov compression

Dynamic Markov compression (DMC) is a lossless data compression algorithm developed by Gordon Cormack and Nigel Horspool.

Earth's orbit

Mathematicians and astronomers (such as Laplace, Lagrange, Gauss, Poincaré, Kolmogorov, Vladimir Arnold, and Jürgen Moser) have searched for evidence for the stability of the planetary motions, and this quest led to many mathematical developments, and several successive 'proofs' of stability for the solar system.

Eufrosina Dvoichenko-Markov

Masha provided Soviet intelligence with information on Romanians, Carpatho-Russians and other exile groups in the United States.

Gauss-Matuyama reversal

The Gauss-Matuyama Reversal was a geologic event approximately 2.588 million years ago when the Earth's magnetic field underwent reversal.

Gauss's law

In fact, any "inverse-square law" can be formulated in a way similar to Gauss's law: For example, Gauss's law itself is essentially equivalent to the inverse-square Coulomb's law, and Gauss's law for gravity is essentially equivalent to the inverse-square Newton's law of gravity.

Gauss's law for gravity

Gauss's law for gravity has the same mathematical relation to Newton's law that Gauss's law for electricity bears to Coulomb's law.

Hidden semi-Markov model

A hidden semi-Markov model (HSMM) is a statistical model with the same structure as a hidden Markov model except that the unobservable process is semi-Markov rather than Markov.

History of manifolds and varieties

In the mid nineteenth century, the Gauss–Bonnet theorem linked the Euler characteristic to the Gaussian curvature.

History of the University of Tehran

The master plan of the campus buildings was drawn up by French architects Roland Dubrulle and Maxime Siroux, Swiss architect Alexandre Moser, as well as Andre Godard, Nicolai Markov and Mohsen Foroughi.

Karl-Markus Gauß

In 2006, Karl-Markus Gauß was accepted as member of the German Academy for Language and Poetry.

Kathryn Whaler

She has undertaken a number of sabbaticals which have given her experience of NASA’s Goddard Space Flight Center, Harvard University, the University of California at San Diego (where she was a Green Scholar), Victoria University of Wellington, and Göttingen University (as Gauss Professor), funded by the Fulbright Foundation, NASA, the Cecil H and Ida M Green Foundation, and Göttingen Academy of Sciences.

Mathematical chess problem

Many famous mathematicians studied mathematical chess problems, for example, Euler, Legendre and Gauss.

Mikhail Tkach

Tkach's agent handler was SELIM KHAN, or KHAN, thought to be Avram Landy who also had contact with Albert Kahn, Eufrosina Dvoichenko-Markov, Walter Bernstein, and Bolesław Gebert.

Mixing time

Markov chain mixing time, the time to achieve a level of homogeneity in the probability distribution of a state in a Markov process.

Production Systems Engineering

Weibull, Rayleigh, gamma, and log-normal probability density functions (time-dependent breakdown and repair rates): no Markov descriptions is available;

Pseudolikelihood

One use of the pseudolikelihood measure is as an approximation for inference about a Markov or Bayesian network, as the pseudolikelihood of an assignment to X i may often be computed more efficiently than the likelihood, particularly when the latter may require marginalization over a large number of variables.

Quentin Skinner

Skinner has delivered many prestigious lecture-series, including the Christian Gauss Seminars in Criticism at Princeton (1980), the Carlyle Lectures at Oxford (1980), the Messenger Lectures at Cornell (1983), the Tanner Lectures on Human Values at Harvard (1984), the T. S. Eliot Memorial Lectures at Kent (1995), the Ford Lectures at Oxford (2003), the Clarendon Lectures at Oxford (2011) and the Clark Lectures at Cambridge (2012).

Shadow Fury

Markov, Forster and Hillier, and creates a clone that is the perfect killing machine, Takeru (Funaki), a killer ninja clone.

Spurious trip level

The best reliability model to use is a Markov model (see Andrey Markov).

Time-inhomogeneous hidden Bernoulli model

Contrary to HMM, the state transition process in TI-HBM is not a Markov-dependent process, rather it is a generalized Bernoulli (an independent) process.

Transverse Mercator projection

In most applications the Gauss–Krüger is applied to a narrow strip near the central meridians where the differences between the spherical and ellipsoidal versions are small, but nevertheless important in accurate mapping.

Troitsky Markov Monastery

Svyato-Troitsky Markov Monastery (Holy Trinity Markov Monastery) is one of two modern monasteries in Vitebsk (second one is female Svyato-Dukhov Monastery).


see also