Here briefly in this humble tribute I have sought for some simple and succinct summation that would define the immense service of this patriot to his country.

Here is an example showing the summation of exponential terms ( all terms to the power of 2 ):

Here partial converse means that if M sums the series Σ, and some side-condition holds, then Σ was convergent in the first place ; without any side condition such a result would say that M only summed convergent series ( making it useless as a summation method for divergent series ).

Here, the Einstein notation is used, so repeated indices indicate summation over indices and contraction with the metric tensor serves to raise and lower indices:

Here, is the partial derivative and the usual summation convention over indices is used, with a Euclidean metric.

( Here, the Einstein summation convention is used, and the vector fields are thought of as first order linear differential operators, and the components are often called contravariant components.

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 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, 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.