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first and approximation
Although we are still far from a complete understanding of these problems, as a first approximation, it is suggested that alterations in the hypothalamic balance with consequent changes in the hypothalamic-cortical discharges account for major changes in behavior seen in various moods and states of emotions in man and beast under physiological circumstances, in experimental and clinical neurosis, and as the result of psychopharmacological agents.
This reduces to the relationship: Af, where Af is the intercept at zero thickness of the extrapolation of the slope indicated in eqn. ( 1 ), Af is the thickness of the coating equivalent to the rounding off of the knife tip, Af is a straight line first approximation of this roundness, and the other symbols are equivalent to those of eqn. ( 1 ).
The luminous gain of a single stage with Af ( flux gain ) is, to a first approximation, given by the product of the photocathode sensitivity S ( amp / lumen ), the anode potential V ( volts ), and the phosphor conversion efficiency P ( lumen/watt ).
In practice, a bidirectional reflectance distribution function ( BRDF ) may be required to characterize the scattering properties of a surface accurately, although the albedo is a very useful first approximation.
A reasonable first approximation for planetary bodies
Then he came, in his words, to " the theory of symmetry: all governments and regimes to a first approximation are bad, all peoples are oppressed, and all are threatened by common dangers.
Anyone who wants to look at sunlight naturally wipes his eye clear first, in order to make, at any rate, some approximation to the purity of that on which he looks ; and a person wishing to see a city or country goes to the place in order to do so.
The bilinear transform essentially uses this first order approximation and substitutes into the continuous-time transfer function,
It means that a particular approximation is rigorously defined on first principles ( quantum theory ) and then solved within an error margin that is qualitatively known beforehand.
In 1840, Gauss published his influential Dioptrische Untersuchungen, in which he gave the first systematic analysis on the formation of images under a paraxial approximation ( Gaussian optics ).
Riemannian geometry generalizes Euclidean geometry to spaces that are not necessarily flat, although they still resemble the Euclidean space at each point " infinitesimally ", i. e. in the first order of approximation.
Integrating + 1. 7 ms / d / cy and centering the resulting parabola on the year 1820 yields ( to a first approximation ) 31 ×(( Year − 1820 )/ 100 )< sup > 2 </ sup > seconds for ΔT.
As a quick approximation of the error function, the first 2 terms of the Taylor series can be used:
Given a function ƒ defined over the reals x, and its derivative ƒ < nowiki > '</ nowiki >, we begin with a first guess x < sub > 0 </ sub > for a root of the function f. Provided the function is reasonably well-behaved a better approximation x < sub > 1 </ sub > is
In the first approximation op-amps can be used as if they were ideal differential gain blocks ; at a later stage limits can be placed on the acceptable range of parameters for each op-amp.
Particulars include only individuals of a certain kind: as a first approximation individuals with a definite place in space and time, such as persons and material objects or events, or which must be identified through such individuals, like smiles or thoughts.
A good first approximation of Wittgenstein's point is that meaning is a social event ; meaning happens between language users.
It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.
It is commonly assumed that this most-populated state is also the most thermodynamically stable conformation attainable for a given primary structure ; this is a reasonable first approximation but the claim assumes that the reaction is not under kinetic control-that is, that the time required for the protein to attain its native conformation before being translated is small.
The Christofides algorithm was one of the first approximation algorithms, and was in part responsible for drawing attention to approximation algorithms as a practical approach to intractable problems.
The force of gas pressure on the rotor ( to a first approximation ) goes directly to the center of the eccentric, part of the output shaft.
This is due to the fact that the capture of each hydrogen atom ( which can be considered, as a first approximation, to be in rest relative to the stars ) the ship is losing some momentum, which can be compensated only when the speed is below a certain limit.
For instance, retaining the first two terms of the series yields the second-order approximation to f ’( x ) mentioned at the end of the section Higher-order differences.

first and is
Even the knowledge that she was losing another boy, as a mother always does when a marriage is made, did not prevent her from having the first carefree, dreamless sleep that she had known since they dropped down the canyon and into Bear Valley, way, way back there when they were crossing those other mountains.
And that is the way I first saw her when my Uncle brought her into his antique store.
Why, in the first place, call himself a liberal if he is against laissez-faire and favors an authoritarian central government with womb-to-tomb controls over everybody??
Life is further characterized, in antithesis to Piepsam, as animal: the image of a dog, which appears at several places, is first given as the criterion of amiable, irrelevant interest aroused by life considered simply as a spectacle: a dog in a wagon is `` admirable '', `` a pleasure to contemplate '' ; ;
In the first instance, `` mimesis '' is here used to mean the recalling of experience in terms of vivid images rather than in terms of abstract ideas or conventional designations.
This is the primary function of the imagination operating in the absence of the original experiential stimulus by which the images were first appropriated.
The first half of The Charles Men, ending on the climax of the battle of Poltava in 1709, is more dramatically coherent than the second.
He is, first and foremost, a defender of public morals, a servant of society.
The first of two possible variations on this theme is symbolized by Mickey Spillane's Mike Hammer.
Noting such evidence is the first step ; ;
So it is that we relive his opening statement in the first television address with the dramatic immediacy of the present.
and it is surely clear that the first of these is the result of the way in which the individual's command of language interacts with the other two.
The first thing to do is get her some money by a temporary but definite adjustment pending a final disposition of the case.
When I take over Taliesin, the first thing I'll do is fire you ''.
If `` Jack the Courtier '' is really to be taken as Swift, the following remark is obviously Steele's comment on Swift's change of parties and its effect on their friendship: `` I assure you, dear Jack, when I first found out such an Allay in you, as makes you of so malleable a Constitution, that you may be worked into any Form an Artificer pleases, I foresaw I should not enjoy your Favour much longer ''.
At this point a working definition of idea is in order, although our first definition will have to be qualified somewhat as we proceed.
`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.
We saw it frequently afterward, but our suggestion for the very first encounter is near sunset.
Master Gorton, having foully abused high and low at Aquidneck is now bewitching and bemaddening poor Providence, both with his unclean and foul censures of all the ministers of this country ( for which myself have in Christ's name withstood him ), and also denying all visible and external ordinances in depth of Familism: almost all suck in his poison, as at first they did at Aquidneck.

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