The phrase "atomic measures" is correct and usable in written English.
It can be used in contexts related to science, mathematics, or any field where precise, fundamental units of measurement are discussed.
Example: "In quantum physics, researchers often rely on atomic measures to quantify the properties of particles."
Alternatives: "fundamental measurements" or "basic units of measurement."
We fix this problem by altering the original definition of Fréchet mean so that it now becomes a probability measure on the set of persistence diagrams; in a nutshell, the mean of a set of diagrams will be a weighted sum of atomic measures, where each atom is itself a persistence diagram determined using a perturbation of the input diagrams.
We fix this problem by altering the original definition of Fr ́echet mean so that it now becomes a probability measure on the set of persistence diagrams; in a nutshell, the mean of a set of diagrams will be a weighted sum of atomic measures, where each atom is itself the (Fr ́echet mean) persistence diagram of a perturbation of the input diagrams.
Since any atomic infinite sequence shares a frequency with the countably many sequences that differ from it in only finitely many places, imposing that condition would exclude atomic measures.
Besides MLE, Bayesian method can also be used for parameter estimation, using expectation propagation [ 30], generalized repeated insertion model [ 31], and random atomic measures [ 32].
To contrast this with an example of an atomic measure consider a random variable Y landing equiprobably in [0,1] or 5/2; see Figure2.
If 1 ⩽ p < ∞ and (X, Σ, μ) is a σ-finite non-atomic measure space then LPR does not admit a disjointness preserving shift operator.
This paper reports on the design, modeling, implementation, and experimental results for the control of our Sub-Atomic Measuring Machine (SAMM), which has been jointly developed by UNC-Charlotte and MIT.
Consequently, no composition operator (c_{tau}) from (L^{Phi}(Omega)) into (L^{Psi}(Omega)) over a non-atomic measure space ((Omega,Sigma,mu)) is compact.
The optical lattice clock is the brain child of Professor Katori who says his device observes a million atoms simultaneously whereas conventional atomic clocks measure time by using single atoms.
Another way of thinking about it would involve excluding atomic countable measures from the domain of legitimate probability functions over the space of sequences.
This paper proposes an indexing technique for fuzzy numerical data which increases the performance of query processing when the query involves an atomic possibility measured flexible condition.
