In using the mouse as a model organism for colon cancer, we are making an assumption that the orthologs in both species are functioning in precisely the same way despite ~ 180 MY of independent evolution.
Similarly, no democratic system, with its vulnerability to human error and mischief, can be calibrated to function precisely within a certain margin of error.
American politics are ubiquitous, and with frightening regularity, they function precisely as they are intended.
In particular, we prove that for any p∈ 0,1) the (Qp,BMOA -improving inner functions and the (Qp,BMOA -improvingner functinnerare precisely the inner functions which belong to the spand Qp.
But in the middle of his discussion of sculpture he suddenly recalls Pausanias's account that the very earliest Greek sculptures were merely rough blocks whose function was to serve, precisely, as symbols of religious ideas (oops!).
The notion of equality of functions is equality of functions qua sets, which, under the standard principle of extensionality of sets, entails that two functions are equal precisely when they contain the same ordered pairs.
This paper investigates the problem of global practical tracking via sampled-data output feedback for a class of uncertain nonlinear systems whose output functions are not precisely known.
For (n=1) these are precisely harmonic functions but they may be completely irregular in higher dimensions: for example if a plurisubharmonic function is independent of one of the variables then it is maximal.
The triangular integrals for 2-, 3- and 4-variable functions are respectively and precisely defined as the single limits of double, triple, and quadruple sums in detail.
Some of the monopoly or duopoly functions are, however, not precisely defined, neither medically or technically.
The weights assigned to the common n-grams by our scoring function are precisely calibrated to match the reads up to the strain level.
