Home > Andrey Nikolayevich Tychonoff

Born near Smolensk, he studied at Moscow where he graduated in 1927. In 1933 he was appointed as a professor at Moscow University. He received numerous honors, like the Lenin Prize in 1966 and the membership in the Academy of Sciences of the USSR .

Tychonoff has worked in a number of different fields in mathematics. He made important contributions to topology, functional analysis, mathematical physics, and certain classes of ill-posed problems. Tikhonov regularizationTikhonov regularization is the most commonly used method of regularization of ill-posed problems. In its simplest form, an ill-conditioned system of linear equations : A''x b where A is an m ''n matrix above, x is a column vector with n entries and b is a, one of the most widely used methods to solve inverse problemThe inverse problem is the task that often occurs in many branches of science and mathematics where the values of some model parameter(s) must be obtained via manipulation of observed data. The inverse problem can be formulated as follows: :Data→ Mods, is named in his honour. He is best known for his work on topology, including the metrization theoremA metrizable space is a topological space that is homeomorphic to a metric space. Metrization theorems are theorems that give sufficient conditions for a topological space to be metrizable. For explanations of many of the terms used in this article, the r he proved in 1926Centuries: 19th century 20th century 21st century Decades: 1870s 1880s 1890s 1900s 1910s 1920s 1930s 1940s 1950s 1960s 1970s Years: 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 See also 1926 in aviation 1926 in film 1926 in literature 1926 in mu, and the Theorem of TychonoffIn mathematics, Tychonoff's theorem states that the product of any collection of compact topological spaces is compact. For finite collections of compact spaces, this is not very surprising. The statement is in fact true for infinite collections of arbitr which states that every product of arbitrarily many compactIn mathematics, a compact space is a space that resembles a closed and bounded subset of Euclidean space R n in that it is "small" in a certain sense and "contains all its limit points". The modern general definition calls a topological space compact if e topological spacesTopological spaces are structures that allow one to formalize concepts such as convergence, connectedness and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion. The branch of mathematics that studies is again compactIn mathematics, a compact space is a space that resembles a closed and bounded subset of Euclidean space R n in that it is "small" in a certain sense and "contains all its limit points". The modern general definition calls a topological space compact if e. In his honor, completely regular topological spaces are also named Tychonoff spaces.