Germs of sections are defined as the elements of the colimit sets of the appropriate sets of sections Γ U ξ where the colimit is over all open sets containing x ∈ B with inverse inclusion (inverse because a presheaf of sections of a bundle is a contravariant functor)..
What is a germ in math?
In mathematics, the notion of a germ of an object in/on a topological space is an equivalence class of that object and others of the same kind that captures their shared local properties. In particular, the objects in question are mostly functions (or maps) and subsets..
What is germ in complex analysis?
An equivalence class of functions defined in a neighborhood of p is called a germ of a function. Usually it is denoted by (f,p), but we simply say f when the context is clear. The set of germs of complex-valued functions forms a commutative ring, see exercise below to check the details.Sep 5, 2021.
What is the analytic continuation of a germ?
Given a germ φu220.
Ox (Ox denotes the stalk of O over the point xu220
X), we define an analytic continuation of φ as a quadruplet (Y,p,f,y) satisfying: Y is a Riemann surface, and p:Yu219
X is an unbranched holomorphic map (and thus a local diffeomorphism)
. f:Yu219.
C is a holomorphic map on Y
An equivalence class of functions defined in a neighborhood of p is called a germ of a function. Usually it is denoted by (f,p), but we simply say f when the context is clear. The set of germs of complex-valued functions forms a commutative ring, see exercise below to check the details.Sep 5, 2021
Definition. to N2 if there is some open neighbourhood U of p such that N1u222.
U=N2u222
U N 1 ∩ U = N 2 ∩ U is called the germ of a submanifold through the point p
Definition A germ is an element of (a total space of) an etale space or equivalently an element in some stalk of a sheaf (all stalks together form the total space of the etale space of the sheaf).
Germs of sections are defined as the elements of the colimit sets of the appropriate sets of sections Γ U ξ where the colimit is over all open sets containing x ∈ B with inverse inclusion (inverse because a presheaf of sections of a bundle is a contravariant functor).
In mathematics, the notion of a germ of an object in/on a topological space is an equivalence class of that object and others of the same kind that captures Formal definitionRelation with sheavesExamplesApplications
Germ complex analysis
Germ-band extension is a morphological process widely studied in Drosophila melanogaster in which the germ-band, which develops into the segmented trunk of the embryo, approximately doubles in length along the anterior-posterior axis while subsequently narrowing along the dorsal-ventral axis.
Equivalence class of objects sharing local properties at a point in a topological space
In mathematics, the notion of a germ of an object in/on a topological space is an equivalence class of that object and others of the same kind that captures their shared local properties. In particular, the objects in question are mostly functions and subsets. In specific implementations of this idea, the functions or subsets in question will have some property, such as being analytic or smooth, but in general this is not needed ; it is however necessary that the space on/in which the object is defined is a topological space, in order that the word local has some meaning.
The germ cell nuclear factor (GCNF)
Protein-coding gene in the species Homo sapiens
The germ cell nuclear factor (GCNF), also known as RTR or NR6A1, is a protein that in humans is encoded by the NR6A1 gene. GCNF is a member of the nuclear receptor family of intracellular transcription factors.
Medical condition
Ovarian germ cell tumors (OGCTs) are heterogeneous tumors that are derived from the primitive germ cells of the embryonic gonad, which accounts for about 2.6% of all ovarian malignancies. There are four main types of OGCTs, namely dysgerminomas, yolk sac tumor, teratoma, and choriocarcinoma.
Protein found in wheat
Wheat germ agglutinin (WGA) is a lectin that protects wheat (Triticum) from insects, yeast and bacteria. An agglutinin protein, it binds to N-acetyl-D-glucosamine and Sialic acid. Succinylated WGA is selective for β-N-acetylglucosamine (β-GlcNAc), making it a useful tool for detecting O-GlcNAc. N-acetyl-D-glucosamine in the natural environment of wheat is found in the chitin of insects, and the cell membrane of yeast & bacteria. WGA is found abundantly—but not exclusively—in the wheat kernel, where it got the 'germ' name from. In mammals the N-acetyl-D-glucosamine that WGA binds to is found in cartilage and cornea among other places. In those animals sialic acid is found in mucous membranes, e.g. the lining of the inner nose, and digestive tract.
