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For p > 2 it is also straightforward to formulate the corresponding constraints in a disjunctive normal form (DNF) by enumerating all allele arrangements analogously to Formula 4. Each formula in DNF can be transformed into an equivalent formula in CNF [ 16].
Mr. Moss said that in 1996 the city and state decreed that there be one lifeguard for every 50 yards of beach, with an equivalent formula for pools.
Although an equivalent formula has identified the happiest day of the year, which generally falls towards the end of June, in case you care, which you probably don't, highly-developed research techniques (a quick tally of the returns after a Google search) demonstrate we are almost exactly half as interested in when we're likely to be happy as when we're likely to be sad.
Now, we are going to give an equivalent formula of the generalized von Neumann-Jordan constant.
Note that an equivalent formula was previously obtained by Hayashida et al. (1999) (their equation (11)).
Moreover, we give an equivalent formula for the generalized von Neumann-Jordan constant.
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These difficulties persist when a formula is transformed into a(n equivalent) formula in prenex normal form.
Thus a congruential consequence relation is one for which any equivalent formulas are synonymous.
(1) In group theory one gives a different, but equivalent formula, obtained by considering a cochain as a function of i instead of (i+1) variables, as follows: begin{aligned} varphi ( g_1, ldots, g_i) : = f (1, g_1, g_1 g_2, ldots, g_1 g_2 ldots g_i).
For comparison with fuel-powered cars, electric cars are rated by a "mile per gallon equivalent" formula, or m.p.g.e., which pegs electrical power to fuel use.
Based on the equivalent formula and the finite element simulation analysis, the equivalent bending stiffness of the Triple-LET and the LET flexure hinge with the same overall dimensions were analyzed and compared.
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