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We define this type by the origin of its gates and fences: unlike the lifestyle and prestige communities, where gates are built by the developer, in security zone communities the residents build gates and retrofit their neighborhoods with security mechanisms.
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We and define
We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.
We define these values as Af, and define g{t} in the same way for each T.
Articles of faith are sets of beliefs usually found in creeds, sometimes numbered, and often beginning with " We believe ...", which attempt to more or less define the fundamental theology of a given religion, and especially in the Christian Church.
We then define f ( x, y ) to be this z.
We can then define the differential map d: C < sup >∞</ sup >( M ) → T < sub > x </ sub >< sup >*</ sup > M at a point x as the map which sends f to df < sub > x </ sub >.
We can now define the value
We should not define ' wisdom ' as the absence of folly, or a healthy thing as whatever is not sick.
We cannot define a point except as ' something with no parts ', nor blindness except as ' the absence of sight in a creature that is normally sighted '.
We define the periodic Bernoulli functions P < sub > n </ sub > by
We then define a contravariant functor F from C to D as a mapping that
We need a " mark " to define where we are and which direction we are heading to see if we ever get back to exactly the same pixel.
Verner wrote, " We can conclude that although the ancient Egyptians could not precisely define the value of π, in practice they used it ".
We define the kernel of h to be the set of elements in G which are mapped to the identity in H
We define the degree of to be the number of universal quantifier blocks, separated by existential quantifier blocks as shown above, in the prefix of.
We define the inverse limit of the inverse system (( A < sub > i </ sub >)< sub > i ∈ I </ sub >, ( f < sub > ij </ sub >)< sub > i ≤ j ∈ I </ sub >) as a particular subgroup of the direct product of the A < sub > i </ sub >' s:
We wish to maximize total value subject to the constraint that total weight is less than or equal to W. Then for each w ≤ W, define m to be the maximum value that can be attained with total weight less than or equal to w. m then is the solution to the problem.
We could also define a Lie algebra structure on T < sub > e </ sub > using right invariant vector fields instead of left invariant vector fields.
* We then define truth-functional operators, beginning with negation.
We can define addition, subtraction, and multiplication on by the following rules:
We can define methods to manipulate these new complex types.
We assume that A is an m-by-n matrix over either the real numbers or the complex numbers, and we define the linear map f by f ( x ) = Ax as above.
We can define a multiplication on the set S using the Steiner triple system by setting aa
We may define a possibly different topology on X using the continuous ( or topological ) dual space X < sup >*</ sup >.
We can also define it as a second component of business which includes all activities, functions and institutions involved in transferring goods from producers to consumer.
We and type
We don't need this type of protection any more.
We now shall show that any involution with these characteristics is necessarily of the type we have just described.
We turn now to a type of fully distributed cost analysis which, unlike the `` railroad type '', draws no distinction between cost allocation and cost apportionment: the single-step type.
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 assume that the type,, has been fixed.
We forever see a certain type of house as a Hopper house, invested perhaps with a mystery that Hopper implanted in our own vision.
We used to see them play and they didn't have this type of organisation that they have now ".
We do not refer simply to all the humans, but instead the type, human being, which is the same in each human.
( We use the type variable to suggest a function rather than a " base type " like, since is like a Greek " f ".
We are anti-bourgeois because the bourgeois type, while ranking above the proletarian, yet stands inferior to the soldierly-heroic and spiritual-priestly orders.
We say that if the function θ oscillates, it represents a new type of quantum-mechanical wave, and this new wave has its own momentum p = h / λ, which turns out to patch up the discrepancies that otherwise would have broken conservation of momentum.
" Everything we achieved has been in the name of Colombia and all of humanity ... We always insisted that the vaccine would be Colombian and that it is a type of donation made in Colombia ", said Patarroyo.
Mundelein commented on the film industry in 1934, saying, " We don't like the Mae West type ...
Take X to be a complex manifold with a complex vector bundle V. We let the vector bundles E and F be the sums of the bundles of differential forms with coefficients in V of type ( 0, i ) with i even or odd, and we let the differential operator D be the sum
We say that, ( or informally just ) is a free algebra ( of type ) on the set of free generators if, for every algebra of type and function, where is a universe of, there exists a unique homomorphism such that.
We can talk about the class of human beings, just as we can talk about the type ( or natural kind ), human being, or humanity.
We say that Socrates is a token of a type, or an instance of the natural kind, human being.
We would not say that Socrates is a " member " of the type or kind, human beings.
" I didn't really like the direction the band was going in ," Norum said, " We became this teeny-bopper, bubblegum band and I hated that whole image, the spandex, poodle-rock type of thing.
: We, veteran and active pilots alike, who served and still serve the state of Israel for long weeks every year, are opposed to carrying out attack orders that are illegal and immoral of the type the state of Israel has been conducting in the territories.
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