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cereal germ in a continuation of the sheaf metaphor, as a germ is (locally) the "heart" of a function, as it is for a grain. Given a point x of a topological...

sheaf of analytic functions on an analytic manifold, a germ of a function at a point determines the function in a small neighborhood of a point. This is...

we take any germ g of the sheaf S of the logarithm function, as described above, and turn it into a power series f(z) then this function will have the...

cells of the body do not function as agents of heredity. The effect is one-way: germ cells produce somatic cells, and more germ cells; the germ cells...

"germs of real-valued continuous functions at 0". These germs can be added and multiplied and form a commutative ring. To see that this ring of germs is...

Germ theory denialism is the pseudoscientific belief that germs do not cause infectious disease, and that the germ theory of disease is wrong. It usually...

of Nash functions are well understood. The ring of germs of Nash functions at a point of a Nash manifold of dimension n is isomorphic to the ring of algebraic...

Primordial germ cell (PGC) migration is the process of distribution of primordial germ cells throughout the embryo during embryogenesis. Primordial germ cells...

Germ cell tumor (GCT) is a neoplasm derived from the primordial germ cells. Germ-cell tumors can be cancerous or benign. Germ cells normally occur inside...

differentiation in function, somatic cells are found only in multicellular organisms, as in unicellular ones the purposes of somatic and germ cells are consolidated...

Guns, Germs, and Steel: The Fates of Human Societies (subtitled A Short History of Everybody for the Last 13,000 Years in Britain) is a 1997 transdisciplinary...

)} to be the ring of germs of such functions at the origin. Then R is a local ring, and its maximal ideal m consists of all germs which vanish at the...

point (p,p) of M×M. The image of Δ is called the diagonal. Let I {\displaystyle {\mathcal {I}}} be the sheaf of germs of smooth functions on M×M which...

a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common symbols for a wave...

the sheaves of germs of holomorphic functions, tangent spaces, etc. Such algebras are of the form A ≅ C { z 1 , … , z n } I {\displaystyle A\cong {\frac...

ringed space in which the analogy between the stalk at a point and the ring of germs of functions at a point is valid. Ringed spaces appear in analysis as...

streamlined. In these terms, a complete global analytic function is a path-connected sheaf of germs of analytic functions which is maximal in the sense...

In a multicellular organism, an organ is a collection of tissues joined in a structural unit to serve a common function. In the hierarchy of life, an...

In mathematics, a Hardy field is a field consisting of germs of real-valued functions at infinity that are closed under differentiation. They are named...

the ring of germs of analytic functions in n variables is a Noetherian ring, which is also referred to as the Rückert basis theorem. There is a deeper preparation...