For flow through a tube with one inlet ( state 1 ) and exit ( state 2 ) as shown in the figure in this section, the continuity equation may be written and solved as:

For example, the ongoing continuity contradictions on episodic TV series such as The Simpsons ( in which the timeline of the family's history must be continually shifted forward to explain them not getting any older.

For instance, when the series started, Bart would have to have been born in about 1980, but that would make him 32 years old as of 2012 ) reflects intentionally lost continuity, not genuine retcons.

For obvious continuity reasons, in Star Trek: Enterprise, the Prime Directive is conspicuously absent.

For further continuity, the concept of multiple reincarnation of the first shabdrung — in the form of either his body, his speech, or his mind — was invoked by the Je Khenpo and the Druk Desi, both of whom wanted to retain the power they had accrued through the dual system of government.

For their three New York performances, the band members wore exactly the same clothes to facilitate seamless editing of the film, except for John Paul Jones and Jimmy Page who wore different sets of attire on some of the nights, which created continuity problems.

For example, a few lines were cut from various scenes, such as Lavinia's " Ay, for these slips have made him noted long " ( 2. 3. 87 ), thus removing the continuity error regarding the duration of the Goths residence in Rome.

For example, there appears to be continuity between the character of Cleopatra and the historical figure of Queen Elizabeth I, and the unfavourable light cast on Caesar has been explained as deriving from the claims of various 16th century historians.

Hale's political neutrality and personal integrity has been attributed to his Puritainism, and his support of the common law ; " Regimes come and go, the common law abides ... For Hale ... legal continuity was vital for civic identity ".

For example, after the first disappearance of Ratchet and Megatron, a disparate continuity of storylines based around the " Earthforce "— a team of Autobots based on Earth — began, which saw Megatron and Shockwave establishing a joint leadership of the Decepticons only to have command usurped by Starscream and Soundwave.

For describing contemporary society based on a dialectic of the old and the new, continuity and discontinuity, other critical scholars have suggested several terms like:

For continuity purposes, the background artwork was painted using the same tools.

For the first eight months Scamp had continuity and was written by Ward Greene, the King Features editor whose short story and novelization contributed to the development of the storyline for Lady and the Tramp.

For this reason, jump cuts are considered a violation of classical continuity editing, which aims to give the appearance of continuous time and space in the story-world by de-emphasizing editing.

For example according to Errett Bishop's definitions, the continuity of a function ( such as sin x ) should be proved as a constructive bound on the modulus of continuity, meaning that the existential content of the assertion of continuity is a promise that can always be kept.

For real-valued functions on the real line two interrelated notions appear, absolute continuity of functions and absolute continuity of measures.

For continuity between days of shooting, the actors were photographed at the end of each day and then made up the following morning to have the same colorful appearance, the same smears of pie crust and filling.

( For the remainder of this article, the name " Homo ergaster " will be used to describe a distinct species for the convenience of continuity in reading.

For besides being reductive, Parfit's view is also deflationary: in the end, " what matters " is not personal identity, but rather mental continuity and connectedness.

For continuity with its predecessor Ephemeris Time, TCB was set to match ET at around Julian Date 2443144. 5 ( 1977-01-01T00Z ).

For continuity with its predecessor Ephemeris Time, TCG was set to match ET at around Julian Date 2443144. 5 ( 1977-01-01T00Z ).

For, with a single exception, nothing had happened to them.

For Tom Horn, it turned out, had a number of rancher and cowboy witnesses ready and willing to swear with straight faces that he had been in Bates Hole the day of the killing.

For a brief period each year, the rays of the sun are warm enough to melt some of the snows piled a mile deep at the base of the headwalls, and then the pinnacles glisten in the daytime at high noon, and billions of gallons of water begin their slow seepage under the glaciers and across the rockstrewn hanging valleys on their long, meandering journey to the sea -- running east past the sky-carving massifs of Gurla Mandhata and Kemchenjunga, then turning south and curling down through the jungles of Assam, past the Khasi Hills, and into Bengal, past Sirinjani and Madaripur, until the hard water of the melting snows mingles with the soft drainage of fields and at length fans out to meld with the teeming salt depths of the Bay of Bengal.

For several months now, Jack Carter, a big overgrown boy of fifteen with a fuzzy, pimpled face and greenish catlike eyes with a lot of red in them, had been haunted by a dream, a vision, of a Woman.

For Mr. Taylor's Images And Reflections she made some diaphanous tents that alternately hide and reveal the performer, and a girl's cape lined with grass.

For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.

For several generations much fiction has appeared dealing with the steprelationship.

For the President had dealt with the matter humbly, in what he conceived as the democratic way.

'', and `` Too Marvelous For Words '' ( all with Richard Whiting ) ; ;

William Wimsatt and Cleanth Brooks, it seems to me, have a penetrating insight into the way in which this control is effected: `` For if we say poetry is to talk of beauty and love ( and yet not aim at exciting erotic emotion or even an emotion of Platonic esteem ) and if it is to talk of anger and murder ( and yet not aim at arousing anger and indignation ) -- then it may be that the poetic way of dealing with these emotions will not be any kind of intensification, compounding, or magnification, or any direct assault upon the affections at all.

For some time, despondency in some Northern quarters had been displayed in two ways -- an eagerness for peace and a dissatisfaction with Lincoln.

For if Serenissimus made the sign of the Cross with his right hand, and meant it, with his left he beckoned lewdly to any lady who happened to catch his eye.

For those little men with the short whiskers, shaven polls, and top knots Suvorov reserved a special esteem.

For some reason, none of them were impressed with the territorial capital.

For example, he captured some persons from York County, who with teams were taking to Philadelphia the furniture of a man who had just been released from prison through the efforts of his wife, and who apparently was helpless to prevent the theft of his household goods.

For as his companions gradually dissolve back into a state of primitive confrontation with elemental necessity, as they lose all the appanage of their acquired culture, he is overcome by the feeling that he is at last being confronted with the essence of mankind.

`` For six years my father had had to do too much commanding and convincing, '' writes the narrator, `` not to understand that man begins with ' the other ' ''.

For a dawning sense of illumination occurs in consequence of two events which, as so often in Malraux, suddenly confront a character with the existential question of the nature and value of human life.

In his recent book, Hurray For Anything ( 1957 ), one of the most important short poems -- and it is the title poem for one of the long jazz arrangements -- is written for recital with jazz.

For a particularly fabulous room which houses a collection of fine English Chippendale furniture, fabric wall panels were embroidered with a typically Chinese-inspired design of this revered Eighteenth Century period.

For the first time in history the entire world is dominated by two large, powerful nations armed with murderous nuclear weapons that make conventional warfare of the past a nullity.