Here are some simple but useful commutator identities, true for any elements s, g, h of a group G:

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 we assume ƒ ( x ), g ( x ) and h ( x ) are integrable functions, are Lebesgue-measurable on the real line, and satisfy:

Here, only some Meriam men were able to accumulate high caloric gains for the amount of time spent turtle hunting or spear fishing ( kcal / h ) compared to the other men.

Here an element g is in HC < sub > G </ sub >( H / K ) if and only if there is some h in H such that for every x in H, x < sup > g </ sup > ≡ x < sup > h </ sup > mod K.

Here Z < sub > 0 </ sub > is the impedance of free space, ε < sub > r </ sub > is the relative permittivity of substrate, w is the width of the strip, h is the thickness (" height ") of substrate, and t is the thickness of the strip metallization.

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.

Here the trail reaches a height of 1811 meters at İncegeriş T .. Then on to Belos, Finike, Kumluca, Mavikenic, Karaöz, Olympos, Çıralı.

Here the Romke stream drops about 64 metres in height over a waterfall laid out in 1863 into the Oker.

Here, the narrow channel of Carnley Harbour ( the Adams Straits on some maps ) separates the main island from the roughly triangular Adams Island ( area approximately ), which is even more mountainous, reaching a height of at Mount Dick.

Here the Rocky Mountains reach a height of 8, 262 feet ( 2, 518 m ), dividing the country into two distinct watersheds.

Here, the Subarnarekha river falls from a height of 320 feet.

Here, note that the magnified letters are magnified both in height and in width.

Here, the ball ( thought of as a point-mass ) is dropped from an initial height and bounces off the ground, dissipating its energy with each bounce.

Here the river falls madly from a height of 60 feet, forming a huge waterfall that thick fog envelops the tumult of the falls far warns mariners descended in canoes.

( Here 2πh is the height of a single twist of the slinky, and r the radius.

Here it ascends from the Fuhne valley, so the difference in height is about on a short distance.

Here is a famous temple called Banasura, situated on a huge rockcovering land and with proportional height beside the Shoranur-Nilambur Railway Line.

Here names of places are given along with height and nearby towns.

Here the water falling from a height of 10 meters has formed a small waterfall.

Here the life of an oak is explained with the help of annular rings, and the height of an oak can be measured.

Here the heights of window sills, headers and next floor height would be marked out on the studs with a storey pole.

Here are the highest peak Torre de Cerredo ( 8, 688 ft ), Peña Vieja ( 8, 579 ft ), Peña Prieta ( 8, 304 ft ) and Espigüete ( 7, 898 ft ); an unnamed summit in the Picos de Europa, to which range the Peña Vieja also belongs, rises on the right bank of the Sella to a height of 8, 045 ft ; further west the peaks of Manpodres, Peña Ubiña, Peña Rubia and Cuiña all exceed 7, 000 ft. A conspicuous feature of the chain, as of the adjacent tableland, is the number of its parameras, isolated plateaus shut in by lofty mountains or even by precipitous walls of rock.