Here the light signal from the fiber is translated to a radio frequency electrical signal, which is distributed through coaxial cable to individual subscriber homes.

Here, every fiber has elements.

Here ' restriction ' is interpreted by means of fiber product, applied to f and the inclusion map of Y ′ into Y.

Here each fiber projects to a circle in space ( one of which is a " circle through infinity " — a line ).

Here, A is the vector potential and d represents the gauge-covariant derivative, and F the field strength or curvature form on the fiber bundle.

Here denotes the higher direct image of under g. As the stalk of this sheaf at a point on Y is closely related to the cohomology of the fiber of the point under g, this statement is paraphrased by saying that " cohomology commutes with base extension ".

Here in the cool darkness Mr. Podger could still feel the warmth of midday, could still see the yellow butterflies dancing over the road, could still see the friendly grin on the young, sun-browned face as the driver looked back over his shoulder for a moment before the car streaked out of sight.

Here and there on work table or pedestal stood a shape with a sheet or a tarpaulin draped over it.

Here Keys and others, such as Dr. A. E. Ahrens of the Rockefeller Institute, took over to demonstrate the chemical difference between vegetable and animal fats -- and even between different varieties of each.

`` Here, this will help '', suggested Helva, substituting a magnifying device in one extension and holding it over the picture.

Here Dürer favours the methods of Ptolemy over Euclid.

Here they were used before dialing the phone in order to give some calls priority, cutting in over existing calls if need be.

Here he combines an old-hat 1960s view of Israel as the outpost of American Imperialism with a novel variation on the anti-Semitic forgery, The Protocols of the Elders of Zion, which warned of a Jewish conspiracy to take over the world.

Here X represents the space of messages transmitted, and Y the space of messages received during a unit time over our channel.

Here, the sum is taken over all different states under permutations p acting on N elements.

Here the summation is over all prime powers up to x.

Here, he apparently discontinued Leo III ’ s policies of favouring clergy over lay aristocracy.

Two of the earliest recordings which have a funk beat and lyrics which are rhymed in rhythm over this type of beat were released by comedian Pigmeat Markham, " Here Come the Judge " which was released in 1968 by the Chess label and in 1969 another song about running numbers called " Who Got The Number?

Here, a line over a proposition indicates the logical negation of that proposition.

Here is a minimal tone set from Mandarin Chinese, which has five tones, here transcribed by diacritics over the vowels:

Here he produced a little over a third of his total published work, and lived with his wife, daughters, and two grandchildren until dying of natural causes in 1967.

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 is a good spot ; it is too sunny over there.

Hence, François Rabelais, also of the 16th century, imagines an inscription over the door of his Utopian Abbey of Thélème, " Here enter no hypocrites, bigots ..." slipping in a slighting reference to " Gotz " and " Ostrogotz.

Here we anchored in ten fathoms water, over a bottom of oozy sand ; distant from the shore one-third of a mile.

Here we have signs of inter-provincial competition affecting the doctor shortage in one province over another.

Here, the eyes are open, the chin is on the chest, elbows are tight into the sides and the hands are over the ends of the reserve parachute with fingers spread.

Here the sum is extended over all ( k, j ) with and with

Here the temperature field within the object begins to change as a function of time, as the heat is removed from the metal, and the interest lies in analyzing this spatial change of temperature within the object over time, until all gradients disappear entirely ( the ball has reached the same temperature as the oil ).

Here there is a vast blue and yellow canopy strung over a lower area, shading rows of wooden benches.

Here it is necessary to point out that, whatever its effectiveness, thought coercion has in fact been used very extensively throughout history.

Here, i is the complex number whose square is the real number − 1 and is identified with the point with coordinates ( 0, 1 ), so it is not the unit vector in the direction of the x-axis ( this confusion is just an unfortunate historical accident ).

Here are the point coordinates in the canonical system, whose origin is the center of the ellipse, whose-axis is the unit vector coinciding with the major axis, and whose-axis is the perpendicular vector coinciding with the minor axis.

Here, x is the angle that a line connecting the origin with a point on the unit circle makes with the positive real axis, measured counter clockwise and in radians.

Here each vertex ( or node ) represents a point of choice for a player.

He famously put the point into dramatic relief with his 1939 essay " Proof of an External World ", in which he gave a common sense argument against scepticism by raising his right hand and saying " Here is one hand ," and then raising his left and saying " And here is another ," then concluding that there are at least two external objects in the world, and therefore that he knows ( by this argument ) that an external world exists.

Murray Bookchin has put it this way " what of the syndicalist ideal of " collectivized " self-managed enterprises that are coordinated by like occupations on a national level and coordinated geographically by " collectives " on a local level ?... Here, the traditional socialist criticism of this syndicalist form of economic management is not without its point: the corporate or private capitalist, " worker-controlled " or not "” ironically, a technique in the repertoire of industrial management that is coming very much into vogue today as " workplace democracy " and " employee ownership " and constitutes no threat whatever to private property and capitalism ... In any case, " economic democracy " has not simply meant " workplace democracy " and " employee ownership.

Here is a short list of some degenerate cases ( or special cases, depending on your point of view ):

Here the user of the slide rule must remember to adjust the decimal point appropriately to correct the final answer.

During the 1930s, Benito Mussolini placed an antique marble Roman column at the point where the river arises, inscribed (" Here is born the river / sacred to the destinies of Rome ").

Here the point A is called the origin, tail, base, or initial point ; point B is called the head, tip, endpoint, terminal point or final point.

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.

He turned to the audience and announced: " Qui finisce l ' opera, perché a questo punto il maestro è morto " (" Here the opera ends, because at this point the maestro died ").

According to a 1974 interview with another eyewitness, Toscanini's words were: " Qui termina la rappresentazione perché a questo punto il maestro è morto " (" Here the performance finishes because at this point the maestro died ") and the English translation of this interview seems to say " Here the Maestro finished ".

Here T, ΔS and ΔH are respectively the temperature at the melting point, change of entropy of melting and the change of enthalpy of melting.

* Curtate cycloid: Here the point tracing out the curve is inside the circle, which rolls on a line.

* Prolate cycloid: Here the point tracing out the curve is outside the circle, which rolls on a line.

Here, the size of the scanning volume is determined by the spot size ( close to diffraction limit ) of the optical system because the image of the scanning laser is not an infinitely small point but a three-dimensional diffraction pattern.

Here, the " handedness " is from the point of view of an observer facing upstream.

His epitaph is taken from one account of his remarks concluding the 1926 premiere of Puccini's unfinished Turandot: " Qui finisce l ' opera, perché a questo punto il maestro è morto " (" Here the opera ends, because at this point the maestro died ").