Just the same shape of functional equation holds for the Dedekind zeta function of a number field K, with an appropriate gamma-factor that depends only on the embeddings of K ( in algebraic terms, on the tensor product of K with the real field ).

Just as important was the influence of the 19th century English designer William Morris, who had argued that art should meet the needs of society and that there should be no distinction between form and function.

Just prior to this he wrote Theory of Moral Sentiments, explaining how it is humans function and interact through what he calls sympathy, setting up important context for The Wealth of Nations.

Just as a periodic function of a real variable is defined by its values on an interval, an elliptic function is determined by its values on a fundamental parallelogram, which then repeat in a lattice.

" Just as the Power Spectral Density ( PSD ) is the Fourier transform of the auto-covariance function we may define the Cross Spectral Density ( CSD ) as the Fourier transform of the cross-covariance function.

Just as managing finances is a critical function of management in any organization, similarly public finance management is an essential part of the governance process.

Just as the phase of the wave function depends upon the magnetic vector potential, it also depends upon the scalar electric potential.

Just as the local chamber is critical to the local business community, state chambers serve a unique function, serving as a third party voice on important business legislation that impact the business community and are critical in shaping legislation in their respective state.

Just as in standard mathematical usage, the argument is thus the actual value passed to a function, procedure, or routine ( such as 37 in log ( 37 )), whereas the parameter is a reference to that value inside the implementation of the function ( log in this case ).

Just like physical pain, social pain is thought to serve a function of adaptation and avoidance from what caused the pain.

Just as multiple weather balloons that measure pressure as a function of height in the atmosphere are used to map the atmospheric pressure field and infer the geostrophic wind, measurements of density as a function of depth in the ocean are used to infer geostrophic currents.

Just as in military use, the term does not refer to a rank but describes a function.

Just as linguists rely on etymology to gain a rich understanding of a word's history, which may help to understand its later uses, figurational sociologists attempt to look at the process of a social feature's emergence and evolution to gain a fuller understanding of its function in the present.

Just as musicians will form a collective and be known as a " band " and adopt a moniker, artist collectives function in a similar way.

Just as the monostatic ambiguity function is naturally derived from the matched filter, the multistatic ambiguity function is derived from the corresponding optimal multistatic detector – i. e. that which maximizes the probability of detection given a fixed probability of false alarm through joint processing of the signals at all receivers.

Just as with roadhouses in other countries, although many survive, and some still offer overnight accommodation, in general they have lost their original function and now fulfill much the same function as ordinary pubs.

Just as in the time domain, an intensity and a phase function can be defined in the frequency domain:

Just as Z is interpreted as the generating functional ( aka characteristic function ( al )/ moment-generating function ( al ) of the probability distribution function ( al ) e < sup >− S </ sup >/ Z ) of the time ordered VEVs / Schwinger function ( aka moments ) ( see path integral formulation ), E ( a. k. a. the second characteristic function ( al )/ cumulant-generating function ( al )) is the generator of " connected " time ordered VEVs / connected Schwinger functions ( i. e. the cumulants ) where connected here is interpreted in the sense of the cluster decomposition theorem which means that these functions approach zero at large spacelike separations, or in approximations using Feynman diagrams, connected components of the graph.

When a person has thoughtlessly or deliberately caused us pain or hardship it is not always easy to say, `` Just forget it ''.

Just the barest suggestion of a heel is found on teenage pumps.

Just because Cheddi Jagan, new boss of British Guiana, was educated in the United States is no reason to think he isn't a Red.

Just after sunset is a good time to record the city lights in color since you get a `` fill-in '' light from the sky.

Just because a tree or other object appears in a certain spot is absolutely no reason to place it in the same position in the painting, unless the position serves the design of the whole composition.

Just as the pressure exerted by surface tension in a spherical drop is Af and the pressure exerted by surface tension on a cylindrical shape is Af, the pressure exerted by any curved surface is Af, where **yg is the interfacial tension and Af and Af are the two radii of curvature.

Just yesterday we had met and talked with a living writer, a contemporary of the dead poet, who is known for his ability of manipulating his ideas and his craft more advantageously.

Just about the most enthralling real-life example of meeting cute is the Charles MacArthur-Helen Hayes saga: reputedly all he did was give her a handful of peanuts, but he said simultaneously, `` I wish they were emeralds ''.

Just as it is possible to exaggerate the drawing power of the new tenure practices, it is also possible to exaggerate the significance of the now relatively adequate salaries paid by major Catholic institutions.

Just what is meant by `` spirit '' and by `` matter ''??

Just as exciting but in a more technically proficient way is Laura Stuart, whose complete control of her every movement is lovely to watch.

Just before Rieux enters the water, he is possessed by a " strange happiness ," a feeling that is shared by Tarrou.

Just outside the city is San Daniele Abbey ( 11th century ).

*" Just to be is a blessing.

Just to live is holy.

" Just about anything could be a target for Capp's satire — in one storyline Li ' l Abner is revealed to be the missing link between ape and man.

Just like P and BPP, BQP is low for itself, which means BQP < sup > BQP </ sup > = BQP.

Just outside Paris, France, the Fontainebleau area is the biggest and most developed bouldering area in the world.

Just as kets and bras can be transformed into each other ( making into ) the element from the dual space corresponding with is where A < sup >†</ sup > denotes the Hermitian conjugate ( or adjoint ) of the operator A.

Just so darned sure of himself that he puts the Indian sign on everyone.

Just as present technology had to await the explanations of physics, so one might expect that social invention will follow growing sociological understanding.

Just as Holmes the eccentric stands behind Holmes the detective, so Holmes the potential criminal lurks behind both.

Just as I know I would make a bad soldier even though I cannot sincerely call myself a pacifist, so too I would not be either a hangman by profession or, if I could avoid it, even a member of a hanging jury.

Just as a varitinted Oriental rug may suggest the starting point for a room scheme, so may some of the newest versions of embroidery.

Just as the entire faculty should know the president's educational philosophy and objectives, so should non-academic officers.

Just as Hart Crane had little influence on anyone except very reactionary writers -- like Allen Tate, for instance, to whom Valery was the last word in modern poetry and the felicities of an Apollinaire, let alone a Paul Eluard were nonsense -- so Dylan Thomas's influence has been slight indeed.

Just dropping the baby's bottle and breaking it became a catastrophe, and Stuart wore out his shoes so fast that he was termed a major disaster.

Just as the Greeks saw the mountains, forests, sea and rivers as inhabited by concrete beings, so nature in all of its manifestations possesses clear form, and the form of a work of art.

Just as in the arts the Greeks sought some reality behind appearances, so in mathematics they sought permanent principles which could be applied wherever the conditions were the same.

Just as her sins were forgiven because of her penitence, so the faithful are exhorted to repent of their sins.

Just as the priests have been offering unacceptable sacrifices, so the people have been neglecting to offer their full tithe to the Lord.

Just as action according to Lǐ should be adapted to conform to the aspiration of adhering to yì, so yì is linked to the core value of rén (). Rén consists of 5 basic virtues: seriousness, generosity, sincerity, diligence and kindness.

Just as the physical bodies of people are changed into spiritual bodies in the resurrection ( see above ), so Isaiah implies that animals will undergo a transformation which enables them to live in peace with human beings and with each other.

Just as humans are of their mothers and fathers and not in their mothers and fathers, so too is the nature of Christ according to Oriental Orthodoxy.

Pope Pius XI, in Quadragesimo Anno, provided the classical statement of the principle: " Just as it is gravely wrong to take from individuals what they can accomplish by their own initiative and industry and give it to the community, so also it is an injustice and at the same time a grave evil and disturbance of right order to assign to a greater and higher association what lesser and subordinate organizations can do.

Just as the word Byzantine is often used in a pejorative way, so the word despot now has equally negative connotations.

" Just as no misconduct on the part of a father can free his children from obedience to the fifth commandment, so no misgovernment on the part of a king can release his subjects from their allegiance.

Just as the British Film Commission has played a crucial role in attracting the biggest and best international studios to produce their films here, so we must incentivise UK producers to chase new markets both here and overseas.

Just as the 3GL offered greater power to the programmer, so too did the 4GL open up the development environment to a wider population.

Just as one does not judge an individual by what he thinks about himself, so one cannot judge such a period of transformation by its consciousness, but, on the contrary, this consciousness must be explained from the contradictions of material life, from the conflict existing between the social forces of production and the relations of production.

Just as a thousand years ago, the Huns under Attila won a reputation of might that lives on in legends, so may the name of Germany in China, such that no Chinese will even again dare so much as to look askance at a German.

Just as Homer drew extensively on a tradition of oral poetry, sung by wandering minstrels, so Herodotus appears to have drawn on an Ionian tradition of story-telling, collecting and interpreting the oral histories he chanced upon in his travels.

Just as man does not have unlimited dominion over his body in general, so also, and with more particular reason, he has no such dominion over his specifically sexual faculties, for these are concerned by their very nature with the generation of life, of which God is the source.