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Here atoms ( φ ) is the set of propositional variables occurring in φ, and ⊨ is the semantic entailment relation for propositional logic.
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Here and atoms
Here we have the composite number 90 made up of one atom of the prime number 2, two atoms of the prime number 3 and one atom of the prime number 5.
Here N < sub > x </ sub > is the number of x atoms per volume, λ the electron escape depth, θ the analyzer angle, T the transmission of the analyzer, I ( t ) the electron excitation flux at depth t, dΩ the solid angle, and δt is the thickness of the layer being probed.
Here, Molina continued Rowland's pioneering research into " hot atom " chemistry, which is the study of chemical properties of atoms with excess translational energy owing to radioactive processes.
Here, so-called forced evaporative cooling is used to selectively remove high-energetic (" hot ") atoms from an atom cloud until the remaining cloud is cooled below the BEC transition temperature.
Here he produced novel work on the diffraction of atoms ( using crystal surfaces ) and also proved that the magnetic moment of the proton was much larger than had been previously supposed.
Here g = q /( 2π ) is the scattering vector q in crystallogapher units, N is the number of atoms, f < sub > j </ sub > is the atomic scattering factor for atom j and scattering vector g, while r < sub > j </ sub > is the vector position of atom j.
Here is the distance between the atoms, is the equilibrium bond distance, is the well depth ( defined relative to the dissociated atoms ), and controls the ' width ' of the potential ( the smaller is, the larger the well ).
Here and φ
Let ρ, θ, and φ be spherical coordinates for the source point P. Here θ denotes the angle with the vertical axis, which is contrary to the usual American mathematical notation, but agrees with standard European and physical practice.
Here is called a spherical harmonic function of degree ℓ and order m, is an associated Legendre polynomial, N is a normalization constant, and θ and φ represent colatitude and longitude, respectively.
Here i is the inclusion map and φ < sub > X </ sub >, φ < sub > Y </ sub > are the maps obtained by composing the quotient map with the canonical injections into the disjoint union of X and Y.
Here X ∈ T < sub > x </ sub > M, therefore X is a derivation defined on M and f is a smooth real-valued function on N. By definition, the pushforward of X at a given x in M is in T < sub > φ ( x )</ sub > N and therefore itself is a derivation.
Here N is the number of electrons of the molecule under consideration, H is the usual electronic Hamiltonian, is the one-electron Fock operator, and ε < sub > i </ sub > is the orbital energy belonging to the doubly occupied spatial orbital φ < sub > i </ sub >.
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 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.
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 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 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 there is a specific preventive component which applies in a more generalized sense to any casework situation.
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.
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