representation theorem sentence in Hindi
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- Unfortunately, though the Kolmogorov Arnold representation theorem asserts the existence of a function of this form, it gives no mechanism whereby one could be constructed.
- More formally, the Riesz representation theorem implies that for all x in X there exists a unique element K _ x of H with the reproducing property,
- The " universal " property has important applications in functional analysis, where it is sometimes known as the " representation theorem for compact metric spaces ".
- Birkhoff's representation theorem for distributive lattices states that every " finite " distributive lattice is isomorphic to the lattice of monotone functions of finite posets.
- Another early representation theorem is now known as Stone's representation theorem for distributive lattices ( the name honors Marshall Harvey Stone, who first proved it ).
- Another early representation theorem is now known as Stone's representation theorem for distributive lattices ( the name honors Marshall Harvey Stone, who first proved it ).
- One of the most useful results from Malliavin calculus is the Clark-Ocone theorem, which allows the process in the martingale representation theorem to be identified explicitly.
- It had been known since the 1950s ( via . the Kolmogorov Arnold representation theorem ) that any multivariate function could be represented as sums and compositions of univariate functions.
- In mathematics, the "'Riesz Markov Kakutani representation theorem "'relates linear functionals on spaces of continuous functions on a locally compact space to measures.
- It is the basis of Stone's representation theorem for Boolean algebras and an example of a completion procedure in order theory based on filters, similar to Dedekind cuts.
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