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Two derivations of the exact boundary conditions are presented, one with Mori Zwanzig projection procedure, and the other using lattice Green's functions.
In literature, there are two derivations of dual integral equations.
The agreement between the two derivations of the criterion confirms the validity of inequality (22).
The main purpose of this example is to show that we can have, if context-independent type instantiation is allowed, two derivations of the same type ((Float)) with distinct semantics, for an expression that is not ambiguous: one derivation for (f) of type (Int rightarrow Float,) and another for (f) of type (Float rightarrow Float).
Thus, the two derivations of z* provide complimentary solutions to the evolution of competitive ability in a police state.
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The first column indicates the year of the population estimate, the second the estimate itself (underlined figures are Chandler's estimates), the third the derivation of the estimate, and the fourth the citation information.
Maximum parsimony character optimization analyses indicate two to three independent derivations of venom glands within the Siluriformes.
Additionally, Holland [3] published two different derivations of (1.1a) in the same issue as Spivey's correction appeared.
To test the stability of the benchmark, five replicate derivations of the VAP-IP benchmark were derived using the VAP-IP data abstracted from the four non-systematic and one systematic reviews individually [ 1- 5].
Three various derivations of approximate discrete Laplace operator formulations are produced using the Taylor series expansion and renormalised least-squares correction of the first spatial derivatives.
There are three possible derivations of note.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com