Here, the unification of matter is even more complete, since the irreducible spinor representation 16 contains both the and 10 of SU ( 5 ) and a right-handed neutrino, and thus the complete particle content of one generation of the extended standard model with neutrino masses.

Here, g and g ′ are SU ( 2 ) and U ( 1 ) gauge couplings and tanθ < sub > W </ sub > =

Here, SU ( 2 )< sub > L </ sub > ( pronounced SU ( 2 ) left ) is none other than SU ( 2 )< sub > W </ sub > and B − L is the baryon number minus the lepton number.

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, < sub > n </ sub > denotes the sample mean of the first n samples ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance, and σ < sup > 2 </ sup >< sub > n </ sub > their population variance.

Therefore, given any positive integer n, it produces a string with Kolmogorov complexity at least as great as n. The program itself has a fixed length U. The input to the program GenerateComplexString is an integer n. Here, the size of n is measured by the number of bits required to represent n, which is log < sub > 2 </ sub >( n ).

Here Acts 12: 21-23 is largely parallel to Antiquities 19. 8. 2 ; ( 2 ) the cause of the Egyptian pseudo-prophet in Acts 21: 37f and in Josephus ( War 2. 13. 5 ; Antiquities 20. 8. 6 ); ( 3 ) the curious resemblance as to the order in which Theudas and Judas of Galilee are referred to in both ( Acts 5: 36f ; Antiquities 20. 5. 1 ).

Here I < sub > 2 </ sub > is reduced to I < sup >–</ sup > and S < sub > 2 </ sub > O < sub > 3 </ sub >< sup > 2 –</ sup > ( thiosulfate anion ) is oxidized to S < sub > 4 </ sub > O < sub > 6 </ sub >< sup > 2 –</ sup >.

Here he defines his genre against a ( probably fictional ) critic ( in the latter half of 2. 77 ):

Here ( Z / 2Z ) is the polynomial ring of Z / 2Z and ( Z / 2Z )/( T < sup > 2 </ sup >+ T + 1 ) are the equivalence classes of these polynomials modulo T < sup > 2 </ sup >+ T + 1.

Here, according to an allegorical parable, " The Choice of Heracles ", invented by the sophist Prodicus ( c. 400 BC ) and reported in Xenophon's Memorabilia 2. 1. 21-34, he was visited by two nymphs — Pleasure and Virtue — who offered him a choice between a pleasant and easy life or a severe but glorious life: he chose the latter.

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.

# If A is a cartesian product of intervals I < sub > 1 </ sub > × I < sub > 2 </ sub > × ... × I < sub > n </ sub >, then A is Lebesgue measurable and Here, | I | denotes the length of the interval I.

br: 2 Here

Here, there are four energy levels, energies E < sub > 1 </ sub >, E < sub > 2 </ sub >, E < sub > 3 </ sub >, E < sub > 4 </ sub >, and populations N < sub > 1 </ sub >, N < sub > 2 </ sub >, N < sub > 3 </ sub >, N < sub > 4 </ sub >, respectively.

Here ends what Wittgenstein deems to be the relevant points of his metaphysical view and he begins in 2. 1 to use said view to support his Picture Theory of Language.

Here the notion of convergence corresponds to the norm on L < sup > 2 </ sup >.

Here, the gain and effective area of antenna 2 are fixed, because the orientation of this antenna is fixed with respect to the first.

With a gross of $ 30. 5 million equating to earnings of $ 12. 2 million, From Here to Eternity was not only one of the top grossing films of 1953, but one of the ten highest-grossing films of the decade.

Here are the remains of a Roman town, belonging to the 1st and 2nd centuries, extending over an area of some 600 by 500 meters (( 2, 000 by 1, 600 ft ), and consisting of fine buildings along the lagoons, including a large open piscina or basin, surrounded by a double portico, while farther inland are several very large and well-preserved water-reservoirs, supplied by an aqueduct of which traces may still be seen.

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 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.

Here the U ( 1 ) subgroup of U ( n ) consists of matrices of the form diag ( e < sup > iθ </ sup >, 1, 1, ..., 1 ).

* Closed string subgroup: Here the pieces of string consist of one closed loop.

* Unclosed loose string subgroup: Here the pieces of string are not closed, and are not attached to the wire.

* Unclosed fixed string subgroup: Here the pieces of string are not closed, but are somewhere on its length attached to the wire.

Here the group B is a Borel subgroup and N is the normalizer of a maximal torus contained in B.

In mathematics, an arithmetic group ( arithmetic subgroup ) in a linear algebraic group G defined over a number field K is a subgroup Γ of G ( K ) that is commensurable with G ( O ), where O is the ring of integers of K. Here two subgroups A and B of a group are commensurable when their intersection has finite index in each of them.

Here Diff < sub > x </ sub >< sup > n </ sup >( M ) is a normal subgroup of Diff < sub > x </ sub >< sup > 1 </ sup >( M ), which means we can look at the quotient group

Here B is the subgroup of upper triangular matrices with determinant 1, so the interpretation of Bruhat decomposition in this case is similar to the case of GL < sub > n </ sub >.

Here, the term Ungulata refers to a subgroup of placental mammals that are descendants of a common ancestor ( i. e. homologous to ), the most primitive condylarth.

Here, the subgroup Γ, a Kleinian group, is defined so that it is isomorphic to the fundamental group of the surface N. Many authors use the terms Kleinian group and Kleinian model interchangeably, letting one stand for the other.

Here the abelian normal subgroup is the group of pure translations, and the abelian quotient group is isomorphic to the group of homotheties.