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Page "Cartesian coordinate system" ¶ 88
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Here and i
In December 2004 Joe Pasquale, winner of the fourth series of ITV's I'm a Celebrity ... Get Me Out of Here !, became well known for his frequent use of the term " Jacobs ", for Jacob's Crackers, a rhyming slang term for knackers i. e. testicles.
Here, indexes i, j are related to the various components and not to the space coordinates.
Here, sgn ( p ) is the signature of each permutation ( i. e. + 1 if p is composed of an even number of transpositions, and 1 if odd.
Here the most regular of irregularities, i. e., archaisms, will be delineated:
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.
Here, an " event " is a set of zero or more outcomes, i. e., a subset of the sample space.
( Here, e is the base of the natural logarithm, about 2. 71828 ..., and i is the imaginary unit, a square root of 1.
Here the generalized coordinates q < sub > i </ sub > for i
A decade-and-a-half later, the reggae-rock band 311's hit single " I'll Be Here Awhile " " borrowed " several lines from " The Lust ..." ( i. e., " And if a person, place, or thing can deliver / I will quiver with delight ").
Here and are the i < sup > th </ sup > columns of the corresponding SVD matrices, are the ordered singular values, and each is separable.
Here Saadia controverts the Mutakallamin, who considered the soul an " accident " arad ( compare Guide for the Perplexed i. 74 ), and employs the following one of their premises to justify his position: " Only a substance can be the substratum of an accident " ( that is, of a non-essential property of things ).
Here, is density, u, v, and are the components of wind velocity, and is the 2-dimensional ( i. e. horizontal-component-only ) del.
Here the X < sub > i </ sub > are the generalized forces corresponding to the external variables x < sub > i </ sub >.
Here Saadia controverts the Mutakallamin, who considered the soul an " accident " arad ( compare Guide for the Perplexed i. 74 ), and employs the following one of their premises to justify his position: " Only a substance can be the substratum of an accident " ( that is, of a non-essential property of things ).
Here there is the idea that God's heritage ( the created world ) is largely under the dominion of evil – i. e., it is " shared with Azazel " ( Abr.
Here, each vector Y < sub > j </ sub > of the f ' basis is a linear combination of the vectors X < sub > i </ sub > of the f basis, so that
Here is a known vector, and is an unknown vector of numbers x < sub > i </ sub > yet to be determined.
Here if the null hypothesis weren't rejected ( i. e. there is no reason to reject the hypothesis that A is at least as good as B ), the conclusion would be that treatment A should continue to be used.
( Here ℵ < sub > i </ sub > means ℵ < sub > i </ sub > in the full universe, not the constructible universe.
( Here α and β are real and i represents the imaginary unit.

Here and is
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 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 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.

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