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Assume that (C_{i}:Xrightarrow2^{Z_{i}}) is a set-valued mapping, the values of which are closed convex cones with apex at the origin, (C_{i}(x)subsetneqq Z_{i}) and (operatorname {int}C_{i}(x neqemptyset). Let (Z_{i}^) be the dual of (Z_{i}), (S_{i}: Xrightarrow2^{X_{i}}) and (T_{i}: Xrightarrow2^{Y_{i}}) be set-valued mappings with nonempty values.
"I grew up in a family, the values of which I didn't understand," he said.
Corrections may be applied by multiplying the concentrations by certain factors called activity coefficients, the values of which can be calculated theoretically or derived from other measurements.
The solution is expressed in terms of 10 coefficients per element and per mode, the values of which are independent of the speed of the moving load.
"As a result of BNY Mellon's misconduct, the Salvation Army has incurred losses and is left holding unproductive, toxic assets with extended maturity dates, the values of which have substantially declined," the organization said in a lawsuit filed on Friday.
WRAPT (Wildness Rating Prediction Tool) is the first attempt to predict wildness from physical variables, the values of which can be readily obtained from field surveys supplemented by detailed maps where large areas require assessment.
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Blood tests – the value of which has long been disputed – are no longer required.
Her main tax liability comes from her investment portfolio, which includes the Balmoral and Sandringham Estates, the value of which has never been disclosed.
These arrays are essentially x-by-y coordinates (corresponding to indices), the value of which is the z-coordinate in the plane.
A prognostic/mechanistic model considering ISCr is used to evaluate the resistance of ISCr (RISCr), the value of which decreases sharply at the beginning of ISCr formation.
Tapping home equity is usually easier than borrowing against a 401(k) retirement plan, the value of which may be depressed because of stock market losses.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com