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However, none of the test functions need to satisfy the boundary conditions.
The functions need to satisfy the following conditions: (1) monotonic and (2) can make the identifiable characteristics strengthened and nuisance attributes of the utterance discarded.
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The theorem thus implies that any data set (left{ mathbf {p}_{t},mathbf {q} _{t}^{h}right} _{tin tau }) that can be rationalised by a well-behaved utility function needs to satisfy the Afriat inequalities.
The need to define physical quantities on this geometric representation has led to development of sets of basis functions that need to satisfy constraints at the boundaries of the elements/tessellations (viz., continuity of normal or tangential components across element boundaries).
Of particular importance are the facts that the underlying scaling function does not need to satisfy any a priori conditions, and that the freedom offered by redundancy can be fully exploited in these constructions.
Superannuation funds need to satisfy the sole purpose test.
8. Stop thinking you need to satisfy everyone.
"We need to satisfy both," Mr. Hackett said.
To succeed you need to satisfy your customers.
Sometimes you need to satisfy your salt cravings.
You will need to satisfy them to keep it happy.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com