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yields and way
Modeling a database in this way typically yields an effective one with desired properties ( as in some normal forms ; see normalization below ).
" Queries results are generated by accessing relevant database data and manipulating it in a way that yields the requested information.
" Queries results are generated by accessing relevant database data and manipulating it in a way that yields the requested information.
Categorization in this way yields two broad classes: linear and branching.
Even more unexpected than the panoply of Indo-European cognates for Dao ( drog ) is the Hebrew root d-r-g for the same word and Arabic t-r-q, which yields words meaning " track, path, way, way of doing things " and is important in Islamic philosophical discourse.
William Rubinstein wrote that " Pre-literate societies, even those organised in a relatively advanced way, were renowned for their studied cruelty ... ' archaeology yields evidence of prehistoric massacres more severe than any recounted in ethnography after the coming of the Europeans '.
In the Green Revolution, the traditional practice of crop rotation gave way in some parts of the world to the practice of supplementing the chemical inputs to the soil through top dressing with fertilizers, e. g. adding ammonium nitrate or urea and restoring soil pH with lime in the search for increased yields, preparing soil for specialist crops, and seeking to reduce waste and inefficiency by simplifying planting and harvesting.
Each aspect ratio yields a different way of looking at the world and is basic to the expressive meaning of the film.
The map h is then defined in such a way that for every path it yields a bijection that maps each element of A in the path to an element of B directly before or after it in the path.
They can create sub-critical conditions, or supercritical conditions with yields ranging from negligible all the way up to a substantial fraction of full weapon yield.
The estate was among the first in Bordeaux to implement green-harvesting or éclaircissage as a way to lower crop yields and raise the quality of the remaining grapes.
The reference spectrum will be affected in the same way, though, by these experimental conditions and therefore the combination yields the absorption spectrum of the material alone.
Deliberately underfishing to increase long term fish stocks has been proposed as a way fisherman can maximize their yields in the long run.
In this way, if volatility remains low, the bond yields more than a standard bond.
Malenkov preferred initiatives to make the land already under cultivation more productive, but Khrushchev insisted that bringing huge amounts of new land under cultivation was the only way to get a major increase in crop yields in a short amount of time.
Removing four axioms mentioning " plane " in an essential way, namely I. 3 – 6, omitting the last clause of I. 7, and modifying III. 1 to omit mention of planes, yields an axiomatization of Euclidean plane geometry.
This way, if we have an optimization algorithm ( or approximation algorithm ) that finds near-optimal ( or optimal ) solutions to instances of problem B, and an efficient approximation-preserving reduction from problem A to problem B, by composition we obtain an optimization algorithm that yields near-optimal solutions to instances of problem A. Approximation-preserving reductions are often used to prove hardness of approximation results: if some optimization problem A is hard to approximate ( under some complexity assumption ) within a factor better than α for some α, and there is a β-approximation-preserving reduction from problem A to problem B, we can conclude that problem B is hard to approximate within factor α / β.
Another way to define Duration Gap is: it is the difference in the sensitivity of interest-yielding assets and the sensitivity of liabilities ( of the organization ) to a change in market interest rates ( yields ).
The fact that the gravitational field itself possesses energy yields a way to understand the nonlinearity of the Einstein field equation: this gravitational field energy itself produces more gravity.
Better still, this yields not only the minimum cost, but also demonstrates the best way of doing the multiplication: just group it the way that yields the lowest total cost, and do the same for each factor.

yields and generating
This yields the functional equation on the generating function:
That is, multiplying the generating function by the polynomial yields
Multiplication of ordinary generating functions yields a discrete convolution ( the Cauchy product ) of the sequences.

yields and equivalence
The equivalence classes of ~— also called the orbits of the action of H on G — are the right cosets of H in G. Interchanging a and b yields the left cosets.
One can show that a functor F: C → D yields an equivalence of categories if and only if it is:
Inclusion maps are seen in algebraic topology where if A is a strong deformation retract of X, the inclusion map yields an isomorphism between all homotopy groups ( i. e. is a homotopy equivalence )
In particular, if A is a sentence of arithmetic then True ( g ( A )) holds in N if and only if A is true in N. Hence for all A, the Tarski T-sentence True ( g ( A )) ↔ A is true in N. But the diagonal lemma yields a counterexample to this equivalence, by giving a " Liar " sentence S such that S ↔ ¬ True ( g ( S )) holds.
The homotopy groups of simplicial abelian groups can be computed by making use of the Dold-Kan correspondence which yields an equivalence of categories between simplicial abelian groups and bounded chain complexes and is given by functors
These are equivalence relations on S, so each of them yields a partition of S into equivalence classes.
We can define a correspondent Kripke structure by taking ( i ) the same space S, ( ii ) accessibility relations that define the equivalence classes corresponding to the partitions, and ( iii ) a valuation function such that it yields value true to the primitive proposition p in all and only the states s such that, where is the event of the Aumann structure corresponding to the primitive proposition p. It is not difficult to see that the common knowledge accessibility function defined in the previous section corresponds to the finest common coarsening of the partitions for all, which is the finitary characterization of common knowledge also given by Aumann in the 1976 article.

yields and relation
Rearranging to express the relation between standard potential and equilibrium constant yields
Configurations and the yields relation on configurations, which describes the possible actions of the Turing machine given any possible contents of the tape, are as for standard Turing machines, except that the yields relation is no longer single-valued.
It is possible to derive, from the covariant formulation of full quantum theory ( Spinfoam ) the correct relation between energy and area ( 1st law ), the Unruh temperature and the distribution that yields Hawking entropy.
It is possible to derive, from the covariant formulation of full quantum theory ( Spinfoam ) the correct relation between energy and area ( 1st law ), the Unruh temperature and the distribution that yields Hawking entropy.
Comparing these two yields the relation above.
A basic understanding of the terminology of cleavage energy, surface energy, and surface tension is very helpful for understanding the physical state and the events that happen at a given surface, but as discussed below, the theory of these variables also yields some interesting effects that concern the practicality of adhesive surfaces in relation to their surroundings.
When yields are periodically-compounded Macaulay and modified duration will differ slightly, and in this case there is a simple relation between the two.
The ideal Ohm's law then yields the relation
Multiplying the ( n-1 ) th triangular number by 9 and then adding 1 yields the nth centered nonagonal number, but centered nonagonal numbers have an even simpler relation to triangular numbers: every third triangular number ( the 1st, 4th, 7th, etc.
Alley cropping has been shown to be advantagous in Africa, particularly in relation to improving maize yields in the sub-Saharan region.
Then S is a predecessor of T, in symbols, if for each, every path connecting x to b meets T. It follows from the definition that the predecessor relation yields a preorder on the set of all ( a, b )- separators.
In this case the relation reads b < sup > 2 </ sup > = a < sup > 2 </ sup > + ab which yields the golden ratio
This yields the recurrence relation
According to Ord, Pearson devised the underlying form of Equation ( 1 ) on the basis of, firstly, the formula for the derivative of the logarithm of the density function of the normal distribution ( which gives a linear function ) and, secondly, from a recurrence relation for values in the probability mass function of the hypergeometric distribution ( which yields the linear-divided-by-quadratic structure ).
A multistep method appled to this differential equation with step size h yields a linear recurrence relation with characteristic polynomial
But and are congruent modulo, and so each such integer z that we find yields a multiplicative relation ( mod n ) among the elements of P, i. e.

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