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Form a discrete probability mass function on the set (18).
Definition 1 Let D ( N ) be a function on the set of positive integers.
where denotes the modulusof continuity of the function on the set and.
The determinant of the Laplace operator, det Δ, is a function on the set of metrics on a compact manifold.
It is well known that the index is a continuous function on the set of semi-Fredholm operators.
As the number of sampling points at which the data is available increases, our polynomials converge to the target function on the set where the sampling points are dense.
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The language stays the same, but intension variables are now interpreted by partial functions on the set of states functions whose domains may be proper subsets of the set of states.
Analogous notation is used for functions on the set D T. Furthermore, for arbitrary ( 0, x ″ ) ∈ M ∩ U and t ∈ [ 0, T ], we denote by A ( x ″, t ; λ ) the operator pencil (5) and by λ j + ( x ″, t ) its eigenvalues: ⋯ ≤ λ 2 − < λ 1 − < 2 − m ≤ 0 < λ 1 + ≤ λ 2 + < ⋯ .
This is natural since already the discrete exterior algebra deals with functions on the set G = ⋃ k G k of simplices of the graph G, where G 0 = V is the set of vertices G 1 = E is the number edges, G 2 the set of triangles in G etc. The Euler characteristic is the graded cardinality ∑ k ( − 1 ) k | G k | = ∑ k ( − 1 ) k v k of G.
How much of the Jurassic World we see in the film was actually constructed and functioning on the set?
The function $f_{\osim }$ is said to be a truth function because it is a function defined on the set of classical truth values $\{1 , 0\}$ see the entry on truth values.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com