Here, the ratios considered of successive terms, instead of a rational function of n, are a rational function of.

Here Robertson identifies his critique as based on Say's theory of money – that people wish to accumulate a " claim to future wealth ," not simply present goods, and thus hoarding of wealth may be rational.

Here the ' frequencies ' log n will not all be commensurable ( they are as linearly independent over the rational numbers as the integers n are multiplicatively independent – which comes down to their prime factorizations ).

Here it is easy to see that if some linear combination of the x < sub > i </ sub > and 1 with non-zero rational number coefficients is zero, then the coefficients may be taken as integers, and a character χ of the group T other than the trivial character takes the value 1 on P. By Pontryagin duality we have T ′ contained in the kernel of χ, and therefore not equal to T.

Here the built-in unit " gravity " is used, which is specified in Frink's units file as a rational number.

Here, we apply the rational pricing logic relating to " Assets with identical cash flows ".

: " Here is how it works: first you decide to treat the object whose behavior is to be predicted as a rational agent ; then you figure out what beliefs that agent ought to have, given its place in the world and its purpose.

Here Wright gave a slight sigh of weariness, and continued, `` It means more long years lived across the social grain of the life of our people, making shift to live in the face of popular disrespect and misunderstanding as I best can for myself and those dependent upon me ''.

Here is truly a `` Great Recording of the Century '', and its greatness is by no means diminished by the fact that it is not quite perfect.

Here, ' simple ' means an appearance of the factor of the form.

Here, we are told, ' We need to go beyond the pleasure principle, the reality principle, and repetition compulsion to ... the fantasy principle ' - ' not, as Freud did, reduce fantasies to wishes ... consider all other imaginable emotions '; and thus envisage emotional fantasies as a possible means of moving beyond stereotypes to more nuanced forms of personal and social relating.

Here ( x, y | x ', y ') means that instead of ψ we are writing a different formula, in which x and y are replaced with x ' and y '.

Here the last product means that a first electron, r < sub > 1 </ sub >, is in an atomic hydrogen-orbital centered at the second nucleus, whereas the second electron runs around the first nucleus.

For example, the notion of gauge invariance forms the basis of the well-known Mattis spin glasses, which are systems with the usual spin degrees of freedom for i = 1 ,..., N, with the special fixed " random " couplings Here the ε < sub > i </ sub > and ε < sub > k </ sub > quantities can independently and " randomly " take the values ± 1, which corresponds to a most-simple gauge transformation This means that thermodynamic expectation values of measurable quantities, e. g. of the energy are invariant.

The first question was answered in the negative when in 1963, Eggan gave examples of regular languages of star height n for every n. Here, the star height h ( L ) of a regular language L is defined as the minimum star height among all regular expressions representing L. The first few languages found by are described in the following, by means of giving a regular expression for each language:

Here, the Chinese character 至 means " extreme ", so the terms for the solstices directly signify the summits of summer and winter.

( Here, formalizing accurately and completely means that all true propositions — and only true propositions — are derivable within the mathematical system.

Here, F means " draw forward ", + means " turn right 60 °", and − means " turn left 60 °".

( Here, means that.

Here means “ divides ”; that is, if is a divisor of.

Here " immediately " means that the final electron position is far from the surface on the atomic scale but still close to the solid on the macroscopic scale.

Here the phrase " due use of the ordinary means " includes appeals to pastors and teachers

Here, I only want my dispositions to be known: it is a means to avoid further ills.

Here, M2 is adjusted for inflation by means of the deflator published by the federal government in the GDP report.

Here " validation " means that the object in question has been validated as evidence of technological developments that were present in an ancient society and which were previously unknown to us.

Here empty pride means a fake pride, in the sense of vainglory, unjustified by one's own achievements and actions, but sought by pretense and appeals to superficial characteristics.

The grace of God means something like: Here is your life.

" Here the propagandists is dealing with a foreign adversary whose morale he seeks to destroy by psychological means so that the opponent begins to doubt the validity of his beliefs and actions.

( Here the notation ( a ) means the principal ideal of R consisting of all the multiples of a.

Here, the maiden falls in love with Achilles, and accepts to be sacrificed on the pyre as a means to ensure both her lover's happiness ( as predicted by an oracle ) and her father Agamemnon's victory in the Trojan War.

Here, on the hottest day, it is cool beneath the stone and fresh from the water flowing in the sluices at the bottom of the vaults.

Here in these little rooms -- or stages arched open to the sky and river -- they choose a few lines out of the hundreds they may know and sing them according to one of the modes into which Persian music is divided.

Here, on a desk, is a stack of pamphlets representing the efforts of some of the best men of the day to penetrate these questions.

Here, if anywhere, it is not wholly incontrovertible.

Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.

Here an important caveat is in order.

Here, then, is what Swift would have called a modest proposal by way of a beginning.

But this we know: Here is a great life that in every area of American politics gives the American people occasion for pride and that has invested the democratic process with the most decent qualities of honor, decency, and self-respect.

Here is a word of advice when you go shopping for your pansy seeds.

Here then is our problem: aircraft are vital to winning a war today because they can perform those missions which a missile is totally incapable of performing ; ;

Here is an original kedgeree recipe from the Family Club's kitchen:

Here is the promise of a vacation trip they can afford.

Here is where things stand today:

Here the Af distance is 2.44 Aj.

Here the pulmonary vein, as in type 2,, is noted to draw away from the bronchus, and to follow a more direct, independent course to the hilum ( figs. 23, 24 ).

Here the number of trials is a random variable, not a fixed number.

Here there is a specific preventive component which applies in a more generalized sense to any casework situation.

( Here an entry is a form plus the information that pertains to it.

Here again, in the written language it is possible to help the reader get his stresses right by using underlining or italics, but much of the time there is simply reliance on his understanding in the light of context.

Here is the best short explanation of the origins of the Cold War that has been written.