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Carl Gustav Jacob Jacobi (/ dʒ ə ˈ k oʊ b i /; [2] German:; 10 December 1804 – 18 February 1851) [a] was a German mathematician who made fundamental contributions to elliptic functions, dynamics, differential equations, determinants and number theory.
Dunbar's number has become of interest in anthropology, evolutionary psychology, [12] statistics, and business management.For example, developers of social software are interested in it, as they need to know the size of social networks their software needs to take into account; and in the modern military, operational psychologists seek such data to support or refute policies related to ...
A local community has been defined as a group of interacting people living in a common location. The word is often used to refer to a group that is organized around common values and is attributed with social cohesion within a shared geographical location, generally in social units larger than a household.
Microlophus jacobii, the Santiago lava lizard, is a species of lava lizard in the family Tropiduridae. [ 1 ] [ 2 ] [ 3 ] They are endemic to the Galapagos islands of Santiago , Bartolomé , Rábida and a few islets.
Friedrich Heinrich Jacobi (German:; 25 January 1743 – 10 March 1819) was a German philosopher, writer and socialite. He is best known for popularizing the concept of nihilism . He promoted the idea that it is the necessary result of Enlightenment thought and the philosophical systems of Baruch Spinoza , Immanuel Kant , Johann Gottlieb Fichte ...
The United Nations in 1955 considered community organization as complementary to community development. The United Nations assumed that community development is operative in marginalized communities and community organization is operative in areas in where levels of living are relatively high and social services relatively well developed, but in where a greater degree of integration and ...
The Jacobi symbol is a generalization of the Legendre symbol. Introduced by Jacobi in 1837, [ 1 ] it is of theoretical interest in modular arithmetic and other branches of number theory , but its main use is in computational number theory , especially primality testing and integer factorization ; these in turn are important in cryptography .
When this matrix is square, that is, when the function takes the same number of variables as input as the number of vector components of its output, its determinant is referred to as the Jacobian determinant. Both the matrix and (if applicable) the determinant are often referred to simply as the Jacobian in literature. [4]