Such a vector field serves to define a generalized ordinary differential equation on a manifold: a solution to such a differential equation is a differentiable curve on the manifold whose derivative at any point is equal to the tangent vector attached to that point by the vector field.

Such a configuration of wormholes would allow for a particle's world line to form a closed loop in spacetime, known as a closed timelike curve.

Such an explanation would not be in accordance with the observed substrate depletion and also could never explain the rather “ smooth ,” horizontal linear part of the curve during the stationary phase.

Such codes were used in the Pioneer program of the early 1970s to Jupiter and Saturn, but gave way to shorter, Viterbi-decoded codes, usually concatenated with large Reed-Solomon error correction codes that steepen the overall bit-error-rate curve and produce extremely low residual undetected error rates.

Such extensions occur in the context of multiplication by p on an elliptic curve over a finite field of characteristic p.

Such comparisons are possible through study of general quality attributes of the assays e. g. principles of measurement ( including identification, amplification and detection ), dynamic range of detection ( usually the range of linearity of the standard curve ), analytic sensitivity, functional sensitivity, analytic specificity, positive, negative predictive values, turn around time i. e. time taken to finish a whole cycle from the preanalytic steps till the end of the last post analytic step ( report dispatch / transmission ), thruput i. e. number of assays done per unit time ( usually expressed as per hour ) etc.

Such testing is necessary as it is often very difficult for the designers of a product to understand intuitively what a first-time user of their design experiences, and what each user's learning curve may look like.

Such techniques are fast and efficient, however the original " purely parametric " formulation ( due to Kass and Terzopoulos in 1987 and known as " snakes "), is generally criticized for its limitations regarding the choice of sampling strategy, the internal geometric properties of the curve, topology changes ( curve splitting and merging ), addressing problems in higher dimensions, etc .. Nowadays, efficient " discretized " formulations have been developed to address these limitations while maintaining high efficiency.

Such a curve is typically used when an instrument uses a sensor whose calibration varies from one sample to another, or changes with time or use ; if sensor output is consistent the instrument would be marked directly in terms of the measured unit.

Such functions were first introduced to study hyperelliptic integrals, i. e. for the case where is a hyperelliptic curve.

Such " redshifts " can be used in surveys and to find the space distribution of galaxies, provided the galaxy types are well known, but, obviously they cannot be used to define points on the Hubble curve, because of circular reasoning.

Such a lifting tower was later also used to great effect by the Renaissance architect Domenico Fontana to relocate obelisks in Rome.

Such definitions are intended to take away the title of " first manned, powered flight " from the Wright brothers despite the fact that on December 17, 1903, the Wrights flew from level ground without a catapult, using a rail only to guide the wheeled dolly or truck that the Wright Flyer biplane shed upon lifting from the ground.

Such designs allow trailers to be rolled on from one end, though lifting trailers on and off flatcars by specialized loaders is more common.

Such a design is intended to be the " best of both worlds " combination: the high speed of aerodynamic craft and the lifting capacity of aerostatic aircraft.

Such injuries can occur while lifting teeth ( typically the inferior alveolar ), but are most commonly caused by inadvertent damage with a surgical drill.

Such activity may or may not have irritated the Kremlin, but it has frequently condemned America to an unnatural defensiveness that has undermined our effort to give leadership to the free world.

Such study may take many forms.

Such an interferometer provides a means of absolute temperature measurement, and may be used as an alternative to the gas thermometer.

Such payments, and applications for such payments, shall be made in accordance with such regulations as the Secretary of the Treasury may prescribe.

Such classifications may be called `` somewhat advanced '' or `` somewhat delayed '', as the case may be, reserving `` moderate '' for dots upon or close to the mean.

Such needs may rise to pathological proportions.

Such altruism may only extend to ingroup members while there may instead prejudice and antagonism against outgroup members ( See also in-group favoritism ).

Such an anagram may be a synonym or antonym of its subject, a parody, a criticism, or praise ; e. g. George Bush = He bugs Gore ; Madonna Louise Ciccone = Occasional nude income or One cool dance musician ; William Shakespeare = I am a weakish speller, Roger Meddows Taylor = Great words or melody.

Such an act may be referred to as an " act of hubris ", or the person committing the act may be said to be hubristic.

Such statements may be misleading because they do not reflect differences in strength of the various kinds of wines, beers, and spirits.

Such information may not be amenable to analysis by other means ( e. g. TEM ) owing to the difficulty in generating a three dimensional dataset with composition.

Such mines may be visited in the Kinzig valley, the Suggental, the Muenster valley, and around Todtmoos.

Such names have not yet been shown conclusively to predate the twelfth century, but there are indications that they may be considerably older.

Such sightings and stories may simply be a more modern manifestation of earlier stories of mythical black dogs and other such creatures in remote areas of Britain, such as those that inspired The Hound of the Baskervilles.

Such broad scope of the book may be the reason the Chronicler commences his genealogy with Adam.

Such numbers may have amounted to a substantial proportion, if not all, of the Peucini Bastarnae: Victor claims that the Carpi resettled in Pannonia by Diocletian at the same time, together with those previously transferred by Aurelian, amounted to the entire Carpi tribe.

Such beneficial plasmids may be considered bacterial endosymbionts.

Such habitats may be promoted by heavy browsing by elephants, fires, flooding, tree-felling ( natural or by logging ) and fallowing.

Such operands may be given as a constant value ( called an immediate value ), or as a place to locate a value: a register or a memory address, as determined by some addressing mode.

Such operations may include adding or subtracting two numbers, comparing numbers, or jumping to a different part of a program.

Such computers are more versatile in that they do not need to have their hardware reconfigured for each new program, but can simply be reprogrammed with new in-memory instructions ; they also tend to be simpler to design, in that a relatively simple processor may keep state between successive computations to build up complex procedural results.

Such ambiguous exercises compound confusion by making it worse compounded, and they are sometimes expanded until the cream of the jest sours.

Such cooperative behaviors have sometimes been seen as arguments for left-wing politics such by the Russian zoologist and anarchist Peter Kropotkin in his 1902 book Mutual Aid: A Factor of Evolution and Peter Singer in his book A Darwinian Left.

Such instruments are generally calibrated to indicate the RMS value for a sine wave only but some designs will indicate true RMS ( sometimes with limitations as to wave shape ).

Such restraint is difficult for most persons and sometimes impossible, and for them married life is decidedly more helpful than a life of celibacy.

Such a computer is sometimes called a Writable Instruction Set Computer or WISC.

Such declarations are typically made without the consent of the parent state, and hence are sometimes called unilateral declarations of independence ( UDIs ), particularly by those who question the declarations ' validity.

Such a key is sometimes referred to as a dead key, as it produces no output of its own but modifies the output of the key pressed after it.

Such activities are sometimes known as " fan labor " or " fanac ", an abbreviated form of the phrase " fan activity.

Such interactions between nearby galaxies, which may ultimately result in a merging, sometimes induce significantly increased incidents of star formation leading to starburst galaxies.

Such mobiles are considered pseudo-Class A, sometimes referred to as " simple class A ".

By the early 3rd century, Origen of Alexandria may have been using the same 27 books as in the modern New Testament, though there were still disputes over the canonicity of Hebrews, James, II Peter, II and III John, and Revelation Such works that were sometimes " spoken against " were called Antilegomena.

Such simplification has sometimes led to confusion if the character is not understood in the context of the sentence or paragraph as a whole, for it poses difficulty to the reader to know which particular word was referred to by the use of the one simple ideogram.

Such " Cordovan leathers " were a north African style that was introduced to Spain in the ninth century ( hence it is sometimes referred to as ' Spanish leather '); in Spain such embossed leather hangings were known as guadamecí or guadamecil, from the Libyan town of Ghadames, while cordobanes signified soft goat leather.

Such games of Nomic sometimes last for a very long time – Agora has been running since 1993.

Such ideas are sometimes expressed around concepts of a world government.

Such general random elements can sometimes be treated as sets of real-valued random variables — often more specifically as random vectors ).

Such objects are sometimes called artificial satellites to distinguish them from natural satellites such as the Moon.

Such carrier traps are sometimes purposely added to reduce the time needed to reach the steady state.

Such work is sometimes seen as less interesting and less appreciated by peers, especially if an analysis, however diligent and time-consuming, does not turn up much of interest.

Such groups often pursued independence and sovereignty over territory, but sometimes a different sense of autonomy has been pursued or achieved.

Such adherents sometimes see syncretism as a betrayal of their pure truth.

Such processes are sometimes called quasi-static and are near enough to being reversible.

Such tungsten alloys are sometimes used in low-temperature superconducting circuits.

Such philosophical questions about the nature of identity are sometimes referred to as the Ship of Theseus Paradox.

Such farms are sometimes called muck farms, after the dark black soil in which vegetables grow well.