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Page "Universal algebra" ¶ 33
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We and assume
We assume for this illustration that the size of the land plots is so great that the distance between dwellings is greater than the voice can carry and that most of the communication is between nearest neighbors only, as shown in Figure 2.
( We abstract here from technological progress and assume that prices of all other products change proportionately.
We assume that average total unit cost in the relevant region of operation is constant with respect to quantity produced ( the average cost curve is horizontal, and therefore is identical with the marginal cost curve ), and is the same for every firm ( and therefore for the industry ).
We assume further that the union recognizes the possibility that price-level increases may offset wage-rate increases, and it does not entirely disregard the effect of price increases arising from its own wage increases upon the `` real '' wage rate.
We assume that the $ 150, 000 is John's best estimate of the sale price that he will be able to achieve in 3 years time ( after deducting all expenses, of course ).
If this letter were to Ephesus, one would expect it to have more of the warmth evidenced in Philippians ... We may safely assume the letter was a general letter to Gentile believers in southwestern Asia Minor and that it became identified with Ephesus as the most important city between Rome and Antioch.
We first assume the following axiom:
We then assume that the following three conditions hold for all positive properties ( which can be summarized by saying " the positive properties form a principal ultrafilter "):
where ω is implicitly a function of k. We assume that the wave packet α is almost monochromatic, so that A ( k ) is nonzero only in the vicinity of a central wavenumber k < sub > 0 </ sub >.
* Binyan av, either by one or two Scriptures: We find a similar law in another case, why shouldn't we assume that the same law applies here?
We assume that for each k, the event A < sub > k </ sub > is similar to A < sub > k + 1 </ sub >, so that A < sub > k </ sub > has the same evaluation as A < sub > k + 1 </ sub >.
We can indeed enumerate algorithms to construct a function T, about which we initially assume that it is a function from the natural numbers onto the reals.
We will assume that Alice and Bob share the entangled state
We can assume without loss of generality that and are pure ensembles.
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 assume without loss of generality that the support of each X < sub > i </ sub > is
We don't assume that the simpler theory is correct and the more complex one false.
We assume a “ linear ” device having a transfer function whose small signal form may be expressed in terms of a power series containing only odd terms, making the transfer function an odd function of input signal voltage, i. e., O = − O.
We may assume there is no reason to believe Fred treats one bowl differently from another, likewise for the cookies.
We assume a plane wave:.
60, p. 44 ) states: " We assume that the old doctrine that a husband had the right to whip his wife, provided that he used a switch no larger than his thumb, is not the law in North Carolina.
We assume that the molecule is in a homogeneous
We will assume that the parametric dependence is continuous and differentiable, so that it is meaningful to consider
In Emperor Theodosius's edict De fide catholica of 27 February 380, enacted in Thessalonica and published in Constantinople for the whole empire, by which he established Catholic Christianity as the official religion of the empire, he referred to Damasus as a pontifex, while calling Peter an episcopus: "... the profession of that religion which was delivered to the Romans by the divine Apostle Peter, as it has been preserved by faithful tradition and which is now professed by the Pontiff Damasus and by Peter, Bishop of Alexandria ... We authorize the followers of this law to assume the title Catholic Christians ..." Some see in this an implied significant differentiation, but the title pontifex maximus is not used in the text ; pontifex is used instead: "... quamque pontificem damasum sequi claret et petrum alexandriae episcopum ..." ( Theodosian Code XVI. 1. 2 ; and Sozomen, " Ecclesiastical History ", VII, iv.

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 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 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.
( 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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