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  2. Hemicontinuity - Wikipedia

    en.wikipedia.org/wiki/Hemicontinuity

    In mathematics, upper hemicontinuity and lower hemicontinuity are extensions of the notions of upper and lower semicontinuity of single-valued functions to set-valued functions. A set-valued function that is both upper and lower hemicontinuous is said to be continuous in an analogy to the property of the same name for single-valued functions.

  3. Support of a module - Wikipedia

    en.wikipedia.org/wiki/Support_of_a_module

    If M is a module over a ring R, then the support of M as a module coincides with the support of the associated quasicoherent sheaf ~ on the affine scheme Spec R. Moreover, if { U α = Spec ⁡ ( R α ) } {\displaystyle \{U_{\alpha }=\operatorname {Spec} (R_{\alpha })\}} is an affine cover of a scheme X , then the support of a quasicoherent ...

  4. Hemicompact space - Wikipedia

    en.wikipedia.org/wiki/Hemicompact_space

    If is a hemicompact space, then the space (,) of all continuous functions: to a metric space (,) with the compact-open topology is metrizable. [3] To see this, take a sequence ,, … of compact subsets of such that every compact subset of lies inside some compact set in this sequence (the existence of such a sequence follows from the hemicompactness of ).

  5. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]

  6. Sheaf of modules - Wikipedia

    en.wikipedia.org/wiki/Sheaf_of_modules

    In mathematics, a sheaf of O-modules or simply an O-module over a ringed space (X, O) is a sheaf F such that, for any open subset U of X, F(U) is an O(U)-module and the restriction maps F(U) → F(V) are compatible with the restriction maps O(U) → O(V): the restriction of fs is the restriction of f times the restriction of s for any f in O(U) and s in F(U).

  7. IUPAC numerical multiplier - Wikipedia

    en.wikipedia.org/wiki/IUPAC_numerical_multiplier

    The IUPAC numerical multiplier is a system of prefixes used in chemistry to indicate the number of atoms or groups in a molecule.

  8. Hemilability - Wikipedia

    en.wikipedia.org/wiki/Hemilability

    [6] [7] (review article) The Pauson–Khand reaction, which is conceptually similar, has also been shown to give improved results when hemilabile P,S type hybrid ligands were used. [ 8 ] Iridium(I) complexes incorporating hemilabile ligands which contain methoxy , dimethylamino , and pyridine as donor functions have been shown to be effective ...

  9. Tetramethyl orthosilicate - Wikipedia

    en.wikipedia.org/wiki/Tetramethyl_orthosilicate

    Tetramethyl orthosilicate (TMOS) is the chemical compound with the formula Si(OCH 3) 4.This molecule consists of four methoxy groups bonded to a silicon atom. The basic properties are similar to the more popular tetraethyl orthosilicate, which is usually preferred because the product of hydrolysis, ethanol, is less toxic than methanol.