It was based on an earlier code developed by Carl Friedrich Gauss and Wilhelm Weber in 1834.

Johann Carl Friedrich Gauss (;, ) ( 30 April 177723 February 1855 ) was a German mathematician and physical scientist who contributed significantly to many fields, including number theory, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy and optics.

Carl Friedrich Gauss was born on 30 April 1777 in Braunschweig ( Brunswick ), in the Duchy of Braunschweig-Wolfenbüttel, now part of Lower Saxony, Germany, as the son of poor working-class parents.

Gauss was a child prodigy.

This was a major discovery in an important field of mathematics ; construction problems had occupied mathematicians since the days of the Ancient Greeks, and the discovery ultimately led Gauss to choose mathematics instead of philology as a career.

The year 1796 was most productive for both Gauss and number theory.

Gauss, who was 23 at the time, heard about the problem and tackled it.

" Four normal distribution | Gaussian distributions in statisticsThis unproved statement put a strain on his relationship with János Bolyai ( who thought that Gauss was " stealing " his idea ), but it is now generally taken at face value.

Waldo Dunnington, a biographer of Gauss, argues in Gauss, Titan of Science that Gauss was in fact in full possession of non-Euclidean geometry long before it was published by János Bolyai, but that he refused to publish any of it because of his fear of controversy.

Gauss ' Law for relating the distribution of electric charge to the resulting electric field was formulated in 1835, but was not published until 1867.

On the way home from Riemann's lecture, Weber reported that Gauss was full of praise and excitement.

He further asserts that although Gauss firmly believed in the immortality of the soul and in some sort of life after death, it was not in a fashion that could be interpreted as Christian.

Gauss was an ardent perfectionist and a hard worker.

Though he did take in a few students, Gauss was known to dislike teaching.

Before she died, Sophie Germain was recommended by Gauss to receive her honorary degree.

According to Isaac Asimov, Gauss was once interrupted in the middle of a problem and told that his wife was dying.

In 2007 a bust of Gauss was placed in the Walhalla temple.

The Gauss – Markov theorem shows that, when this is so, is a best linear unbiased estimator ( BLUE ).

The other difference formulas, such as those of Stirling, Bessel and Gauss, can be derived from Newton's, using Newton's terms, with data points and x values renamed in keeping with the choice of x zero, and based on the fact that they must add up to the same sum value as Newton's ( With Stirling that is so when polynomial degree is even.

Gauss used relative values for his measurements so his value for k is unitless and measured in radians.

Many fields of mathematics bear the imprint of their creators for notation: the differential operator is due to Leibniz, the cardinal infinities to Georg Cantor ( in addition to the lemniscate (∞) of John Wallis ), the congruence symbol (≡) to Gauss, and so forth.

* For a surface with metric conformal to the Euclidean one, so and, the Gauss curvature is given by

The degree of the Gauss map of all immersions of a 2-sphere in R < sup > 3 </ sup > is 1 ; so there is no obstacle.

Theorema egregium of Gauss states that the Gaussian curvature of a surface can be expressed solely in terms of the first fundamental form and its derivatives, so that K is in fact an intrinsic invariant of the surface.

The Gauss curvature of a Frenet ribbon vanishes, and so it is a developable surface.

However, Gauss did not explicitly recognize the concept of a group, which is central to modern algebra, so he did not use this term.

Midway through these sessions, Gauss left the band, so Edwards played some drums himself, until a replacement was found in Kellii Scott.

He is remembered among mathematicians for the Gauss – Jordan elimination algorithm, with Jordan improving the stability of the algorithm so it could be applied to minimizing the squared error in the sum of a series of surveying observations.

The Earth's magnetic field is only 0. 5 Gauss and so it is difficult to conceive of a mechanism by which such a field could lead to any chemical changes other than those affecting the weak magnetic fields between radical pairs.

One must loop over elements twice ( so we get n < sup > 2 </ sup > passes through ) and for each pair of elements we loop through Gauss points in the elements producing a multiplicative factor proportional to the number of Gauss-points squared.

where is the mean curvature, is the Gaussian curvature, and dA is the area form of S. For a closed surface, by the Gauss – Bonnet theorem, the integral of the Gaussian curvature may be computed in terms of the Euler characteristic of the surface, so

The development of least-squares methods by Laplace and Gauss circa

While at university, Gauss independently rediscovered several important theorems ; his breakthrough occurred in 1796 when he showed that any regular polygon with a number of sides which is a Fermat prime ( and, consequently, those polygons with any number of sides which is the product of distinct Fermat primes and a power of 2 ) can be constructed by compass and straightedge.

While this method is traditionally attributed to a 1965 paper by J. W. Cooley and J. W. Tukey, Gauss developed it as a trigonometric interpolation method.

Though Gauss had up to that point been financially supported by his stipend from the Duke, he doubted the security of this arrangement, and also did not believe pure mathematics to be important enough to deserve support.

The discovery of Ceres led Gauss to his work on a theory of the motion of planetoids disturbed by large planets, eventually published in 1809 as Theoria motus corporum coelestium in sectionibus conicis solem ambientum ( Theory of motion of the celestial bodies moving in conic sections around the Sun ).

The method had been described earlier by Adrien-Marie Legendre in 1805, but Gauss claimed that he had been using it since 1795.

Among his results, Gauss showed that under a paraxial approximation an optical system can be characterized by its cardinal points and he derived the Gaussian lens formula.

Mathematical historian Eric Temple Bell estimated that, had Gauss published all of his discoveries in a timely manner, he would have advanced mathematics by fifty years.

This is justified, if unsatisfactorily, by Gauss in his " Disquisitiones Arithmeticae ", where he states that all analysis ( i. e., the paths one travelled to reach the solution of a problem ) must be suppressed for sake of brevity.

* In Canadian junior high schools, an annual national mathematics competition ( Gauss Mathematics Competition ) administered by the Centre for Education in Mathematics and Computing is named in honour of Gauss,

The CGS system goes back to a proposal in 1832 by the German mathematician Carl Friedrich Gauss.

The problem of their multiplicity was solved by McClellan and Parks ( 1972 ), although it was later shown to have been equivalent to a problem solved by Gauss ( Dickinson and Steiglitz, 1982 ).

His inventions were based on the printing mechanism from Hughes ' instrument, a distributor invented by Bernard Meyer during 1871, and the five-unit code devised by Carl Friedrich Gauss and Wilhelm Weber.

The puzzle was originally proposed in 1848 by the chess player Max Bezzel, and over the years, many mathematicians, including Gauss, have worked on this puzzle and its generalized n-queens problem.

This method ( and the general idea of an FFT ) was popularized by a publication of J. W. Cooley and J. W. Tukey in 1965, but it was later discovered ( Heideman & Burrus, 1984 ) that those two authors had independently re-invented an algorithm known to Carl Friedrich Gauss around 1805 ( and subsequently rediscovered several times in limited forms ).

The method is named after Carl Friedrich Gauss, but it was not invented by him.