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Page "Perturbation theory" ¶ 7
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conditions and are
The foregoing factors are pertinent to the analysis of perceptual images and the broad conditions under which they achieve realism or fall short of it.
What is required is the full implementation of Article 2 of the Treaty, which provides: `` The Parties will contribute toward the further development of peaceful and friendly international relations by strengthening their free institutions, by bringing about a better understanding of the principles upon which these institutions are founded, and by promoting conditions of stability and well-being.
In such conditions all freedoms are lost.
The facts, he adds, are hidden from public view by squeamish objections to calling bad conditions by their right name and by insistence on token integration rather than on real improvement of the schools, regardless of the color of their students.
There are many possibilities, including poor circulation, a variety of neurological conditions, and functional disorders.
The very rules and regulations in every city are the primary case of slum conditions.
Only this time around the conditions are different and the choice is far harder.
This help is offered to applicants who ordinarily would not undertake the exploration under present conditions or circumstances at their sole expense and who are unable to obtain funds from commercial sources on reasonable terms.
Once we have made clear that we are genuinely concerned with a country's development potential, we can be blunt in suggesting the technical conditions that must be met for development to occur.
Both allowances are governed by conditions and restrictions set forth in detail in the state's Travel Regulations.
Once these conditions of international law are met, countries that try to run the blockade do so at their own risk.
there are no reasonable prospects that these conditions will be corrected or changed.
During the period of about 4 hours around sunset, skywave transmission conditions are building up until full nighttime conditions prevail ; ;
When improvements are recommended in working conditions -- such as lighting, rest rooms, eating facilities, air-conditioning -- do you try to set a measure of their effectiveness on productivity??
The charged particles then repel each other and are also repelled from the charged surface, which almost invariably bears a negative charge under washing conditions.
Neutral or inversion meteorological conditions are necessary for a cloud to travel along the surface.
There are, of course, certain times during the 24-hour daily cycle when most of these conditions will be met.
The constancy of P and the independence are the conditions most likely to give trouble in practice.
There may be certain items which are quite similar to a net operating loss carryover or operating deficit and whose right to survive a reorganization should perhaps be subject to the conditions applicable to those items.
In another study chromium-substituted aluminum oxyhydroxides and related species, prepared homogeneously by high-temperature hydrolysis, are being characterized and investigated spectrally in the ultraviolet region with a view to identification and semiquantitative estimation of the phases formed under varying preparative conditions.
Basically, this means that simpler processing equipment ( the mixture has good flowing characteristics ) and less external heat ( the foaming reaction is exothermic and develops internal heat ) are required in one-shot foaming, although, at the same time, the problems of controlling the conditions of one-shot foaming are critical ones.
In the search for oil and gas, we make similar waves under controlled conditions with dynamite and learn from them where there are buried rock structures favorable to the accumulation of these resources.
These conditions are unobtainable -- are not even approachable in the qualified sense I have indicated -- without the prior defeat of world Communism.

conditions and formula
This formula can fail when one of these conditions is not true.
If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero.
Under such conditions every formula of the form, where ( T ) is a string of quantifiers containing all quantifiers in ( S ) and ( S ') interleaved among themselves in any fashion, but maintaining the relative order inside ( S ) and ( S '), will be equivalent to the original formula Φ '( this is yet another basic result in first-order predicate calculus that we rely on ).
Under normal conditions, sulfur atoms form cyclic octatomic molecules with chemical formula S < sub > 8 </ sub >.
In general, a formal theorem is a type of well-formed formula that satisfies certain logical and syntactic conditions.
Otto Nordenskiöld theorized that winter conditions also play a role: His formula is W = 9 − 0. 1 C, where W is the average temperature in the warmest month and C the average of the coldest month, both in degrees Celsius ( this would mean, for example, that if a particular location had an average temperature of in its coldest month, the warmest month would need to average or higher for trees to be able to survive there ).
Alarm conditions can be explicit — for example, an alarm point is a digital status point that has either the value NORMAL or ALARM that is calculated by a formula based on the values in other analogue and digital points — or implicit: the SCADA system might automatically monitor whether the value in an analogue point lies outside high and low limit values associated with that point.
In particular, the use of infant formula in less economically developed countries is linked to poorer health outcomes because of the prevalence of unsanitary preparation conditions, including lack of clean water and lack of sanitizing equipment.
This price is consistent with the Black – Scholes equation as above ; this follows since the formula can be obtained by solving the equation for the corresponding terminal and boundary conditions.
** Callable warrants: Callable warrants give the Company the right to force the warrant holder to exercise the warrants into their predetermined number of shares at a predetermined price ( or using a predetermined price formula ) after certain contractual conditions are met
The design of America's Cup Class boats is controlled by a complex formula which allows designers a fair bit of room to optimize for different expected conditions.
Similarly, the IMDCT formula above is precisely 1 / 2 of the DCT-IV ( which is its own inverse ), where the output is shifted by N / 2 and extended ( via the boundary conditions ) to a length 2N.
The thrust of the formula is such that when certain conditions are present, they give rise to subsequent conditions, which in turn give rise to other conditions and the cyclical nature of life in Samsara can be seen.
On this, Propst commented " One of the regrettable conditions of present day offices is the tendency to provide a formula kind of sameness for everyone.
Carnap ( 1934 ) was the first to prove that for any formula ψ in a theory T satisfying certain conditions, there exists a formula φ such that φ ↔ ψ (< u >#( φ )</ u >) is provable in T. Carnap's work was phrased in alternate language, as the concept of computable functions was not yet developed in 1934.
Fajans and Otto Hahn were the discoverers of the formula that defined the conditions of the precipitation and absorption of radioactive substances.
This is the basic formula of the cycle protests-repression-protests, which in specific conditions may lead to an effective state of insurrection.
In order to employ this formula to actual complex situations, implicit or explicit conditions need to be accepted to be circumstantial, since the list of counterfactually acceptable causes would otherwise be impractically long ( e. g. the Earth's continued existence could be said to be the ( necessary ) cause of one drinking one's coffee ).
Since it is undecidable, by Chagrova's theorem, whether an arbitrary modal formula has a first-order correspondent, there are formulas with first-order frame conditions that are not Sahlqvist 1991 ( see the examples below ).
Mr. Zog's Sex Wax For Snowboards comes in two varieties — a " melt-on " application ( available in three formulas for various snow conditions ), and a " rub-on " application ( available in one all-purpose formula suitable for most snow conditions ).

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