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We say that a formula or a set X of formulas is canonical with respect to a property P of Kripke frames, if
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We and say
We cannot truthfully say of anyone who has succeeded in entering deep into his sixties that he was never old.
We sympathize with Mr. Kennedy, but we feel bound to say that his budget review doesn't please us either, although for very different reasons.
We couldn't be seen together, for the tongue of Scandal was ever ready to link our names, and the tongue of Scandal finds but one thing to say of the association of a man with a girl, no matter how innocent.
We may say that his attitude was foolish, since he may have been a success had he learned some human relations skills ; ;
We should say that we made our point with feeling the first time and little or no feeling the second time, but that it was the same point we were making.
We may carry this sequence one step further and say that at seventy he was a poet at the height of his powers, wanting only the impetus of two tragedies, one personal, the other national, to loose those powers in poetry.
We have to tell ourselves that when Parker spoke in this vein, he believed what he said, because he could continue, `` But the truth, which cost me bitter tears to say, I must speak, though it cost other tears hotter than fire ''.
We do not say that a man who takes no interest in politics is a man who minds his own business ; we say that he has no business here at all.
We say we want to see put on the statute book something which will make our people citizens of the world before they are citizens of this country ".
We might not see any rotation initially, but if we closely look at the right, we see a larger field at, say, x = 4 than at x = 3.
We say that the mutation is recessive because the organism will exhibit the wild type phenotype ( ordinary trait ) unless both chromosomes of a pair have the mutation ( homozygous mutation ).
We can distort a dual polyhedron such that it can no longer be obtained by reciprocating the original in any sphere ; in this case we can say that the two polyhedra are still topologically dual.
We can use it as basis to say, " a < b " and " b > a ", two judgments which designate the same state of affairs.
: “ We say that it origin of the traditions is polar, and the pole is nomore Western than it is Eastern.
We and formula
We now know that things rarely ever work out in such cut-and-dried fashion, and that car loadings, while perhaps interesting enough, are nevertheless not the magic formula that will always turn before stock prices turn.
Let us call the class of all such formulas R. We are faced with proving that every formula in R is either refutable or satisfiable.
We must condemn once and for all the formula ' chess for the sake of chess ', like the formula ' art for art's sake '.
We define Thm ( C ) to be the set of all formulas that are valid in C. Conversely, if X is a set of formulas, let Mod ( X ) be the class of all frames which validate every formula from X.
We note here that if the trajectories of the vertices are assumed to be linear polynomials in then the final sixty functions are in fact cubic polynomials, and in this exceptional case, it is possible to locate the exact collision time using the formula for the roots of the cubic.
We can then use the n < sup > th </ sup > backward vector to eliminate the error term and replace it with the desired formula as follows:
We can obtain a formula for r by substituting estimates of the covariances and variances based on a sample into the formula above.
However, consistent with the Reformed formula, “ We are justified by faith alone but not by a faith that is alone ”, salvific faith has overall been seen as one that effected obedience, with those teachings ( known somewhat imprecisely ) as the moral law in contrast to ceremonial law being retained in almost all Christian denominations.
" The formula " We the polis have made libation " was a declaration of peace or the " Truce of God ," which was observed also when the various city-states came together for the Panhellenic Games, the Olympic Games, or the festivals of the Eleusinian Mysteries: this form of libation is " bloodless, gentle, irrevocable, and final.
When Dioscorus argued for the adoption of the formula " One incarnate nature of God the Word " and several bishops equated this with the views of Eutyches, Dioscuros tried to clarify his point that " We do not speak of confusion, neither of division, nor of change.
Niklas Luhmann asserts " We can reduce ... positive law to a formula, that law is not only posited ( that is, selected ) through decision, but also is valid by the power of decision ( thus contingent and changeable ).
We therefore define the sum of maps f, g: < sup > n </ sup > → X by the formula ( f + g )( t < sub > 1 </ sub >, t < sub > 2 </ sub >, ... t < sub > n </ sub >) = f ( 2t < sub > 1 </ sub >, t < sub > 2 </ sub >, ... t < sub > n </ sub >) for t < sub > 1 </ sub > in and ( f + g )( t < sub > 1 </ sub >, t < sub > 2 </ sub >, ... t < sub > n </ sub >) = g ( 2t < sub > 1 </ sub > − 1, t < sub > 2 </ sub >, ... t < sub > n </ sub >) for t < sub > 1 </ sub > in.
We give a formula to derive a common class of functionals that can be written as the integral of a function and its derivatives.
We can further interpret this equality by considering the abstract change of variables formula to transport the integral on the right hand side to an integral over Ω:
0.874 seconds.