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Luckily, Washington is beginning to call for more simple and consistent requirements for insurance regulation across the state and federal levels, but, for now, insurance is regulated on a state by state basis.
Since we utilized data on gene regulation from lymphoblasts, we decided to restrict our dataset to only genes regulated on a genome-wide significant level (LOD >6).
"My thesis is these things should be regulated on a level playing field with the same referee," he said.
In many countries its manufacture, prescription, and distribution are regulated on a federal level.
Another suggestion, that the fund should be regulated on a par with India's private funds, was ignored.
The price of funerals would be regulated on a sliding scale, suitable for the different social classes and the clergy compensated for the loss of burial fees, based on their income over the previous three years.
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The function f : [ a, b ] → X is called regulated on [ a, b ] if for each t ∈ [ a, b ) there is f ( t + ) ∈ X such that lim s → t + ∥ f ( s ) − f ( t + ) ∥ X = 0 and for each t ∈ ( a, b ] there is f ( t − ) ∈ X such that lim s → t − ∥ f ( s ) − f ( t − ) ∥ X = 0.
In such a case x is regulated on [ a, b ], x − f has a bounded variation on [ a, b ] and ∥ x ( t ) ∥ X ≤ c A ( ∥ x ˜ ∥ X + 2 ∥ f ∥ ∞ ) exp ( c A var a t A ), t ∈ [ a, b ], (1.3).
where − ∞ < a < b < ∞, X is a Banach space, L ( X ) is the Banach space of linear bounded operators on X, x ˜ ∈ X, A : [ a, b ] → L ( X ) has bounded variation on [ a, b ], f : [ a, b ] → X is regulated on [ a, b ] and the integrals are understood in the Kurzweil-Stieltjes sense.
In particular, we assume that the given equation (1.1) has a unique solution x for each f regulated on [ a, b ] and each x ˜ ∈ X and we consider a sequence of equations depending on a parameter k ∈ N, x k ( t ) = x ˜ k + ∫ a t d [ A k ] x k + f k ( t ) − f k ( a ), (1.4).
Then, (1.1) possesses a unique solution x on [ a, b ] for every x ˜ ∈ X and every function f : [ a, b ] → X regulated on [ a, b ] if and only if [ I X − Δ − A ( t ) ] − 1 ∈ L ( X ) for all t ∈ ( a, b ], (1.2).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com