Such methods work for simple transformations, such as translation, rotation, and scaling.

Such changes of coordinate system are the gauge transformations of general relativity.

Such transformations often take the form of integral transforms such as the Radon transform and its generalizations.

Such transformations, given by rational functions in the co-ordinates, can be undefined not just at isolated points on curves, but on entire curves on a surface, and so on.

Such transformations occur with particular frequency in long-running superhero comic books.

Such changes made their transformations more difficult than their bright green predecessors.

Such acceleration is commonly accomplished with sequence transformations.

Such spacetime transformations represent shifts between the reference frames of different observers, and so by Noether's theorem invariance under a transformation represents a fundamental conservation law.

Such maps restrict to conformal self-maps of, which are Möbius transformations.

Such transformations are still important in the graded case, although less so than the graded ( even ) transformations.

Such a position entails the negation of philosophy in its Platonic form as something soaring above and embracing the empirical and mathematical sciences.

Such `` depletion allowances '', in the form of percentages of sales are authorized by tax law for specified raw materials producers using up their assets.

But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.

Such a connection is possible if the original form of Boii belonged to a tribe of Proto-Indo-European speakers long before the time of the historic Boii.

Such reaction requires addition of energy in the form of heat or light.

Such institutional support may include government recognition or designation ; presentation as being the " correct " form of a language in schools ; published grammars, dictionaries, and textbooks that set forth a " correct " spoken and written form ; and an extensive formal literature that employs that dialect ( prose, poetry, non-fiction, etc .).

Such intractable disputes form a special area in dispute resolution studies.

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

Such hymns were banned, along with any form of instrumental musical accompaniment, and organs were ripped out of churches.

Such passports have an area where some of the information otherwise written in textual form is written as strings of alphanumeric characters, printed in a manner suitable for optical character recognition.

Such opportunities were only opened via jihad or through some form of illicit sex.

Such a religious situation allowed the more recently arrived form of Christianity to have opportunity to grow.

Such a subject I conceived myself to have found in a stream, traced from its source in the hills among the yellow-red moss and conical glass-shaped tufts of bent, to the first break or fall, where its drops become audible, and it begins to form a channel ".

Such players are usually called Wizards, and typically form the basis for the MUSH administration.

Such a series of rules converts a theoretical underlying representation into a surface form that is actually heard.

Such reactors can no longer form on Earth: radioactive decay over this immense time span has reduced the proportion of U-235 in naturally occurring uranium to below the amount required to sustain a chain reaction.

Such systems have ( in the classical limit ) an infinite number of normal modes and their oscillations occur in the form of waves that can characteristically propagate.

Such networks can be easily constructed as a new peer that wants to join the network can copy existing links of another node and then form its own links over time.

Such arguments typically claim that the relationship between a particular and its form is very intelligible and easily grasped ; that people unproblematically apply Platonic theory in everyday life ; and that the inherence criticism is only created by the artificial demand to explain the normal understanding of inherence as if it were highly problematic.

Such allegations have been rejected by some scholars such as Andre Béteille, an Indian sociologist, who writes that treating caste as a form of racism is " politically mischievous " and worse, " scientifically nonsense " since there is no discernible difference in the racial characteristics between Brahmins and Scheduled Castes.

Such surfaces consist of finitely many pieces that can be represented in the parametric form

Such sling-bullets come in a number of shapes including an ellipsoidal form closely resembling an acorn-this could be the origin of the Latin word for a leaden sling-bullet: glandes plumbeae ( literally leaden acorns ) or simply glandes ( meaning acorns, singular glans ).

Such seas can experience a wide range of chemistries ; high rates of evaporation could concentrate iron ions, and a periodic lack of circulation could allow anoxic bottom water to form.

Each term may be interpreted as a spherical wave that expands or contracts with velocity c. Such waves are generated by a point source, and they make possible sharp signals whose form is altered only by a decrease in amplitude as r increases ( see an illustration of a spherical wave on the top right ).

Such a subgroup always contains a normal subgroup N ( of G ), also of finite index.

Given an arbitrary category C, a representation of G in the category C is a functor from G to C. Such a functor selects an object of C and a subgroup of automorphisms of that object.

Such subgroups may be more or less distinct depending on how close a subgroup distribution is to the average genetic structure of the subgroup and how much overlap there are with the distributions of different subgroups.

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 marchin' in wholesale numbers was called a `` drift '', or `` winter drift '', and if the storm was prolonged it usually resulted in one of the tragedies of the range.

Such defenders, or rather destroyers, of the church, have caused themselves to be called abbots, and presumed to attribute to themselves a title, as well as estates, to which they have no just claim.

Such judges decide, often when called upon by counsel rather than of their own motion, what evidence is to be admitted when there is a dispute ; though in some common law jurisdictions judges play more of a role in deciding what evidence to admit into the record or reject.

Such a sequence is called the primary structure of the biopolymer.

Such Unicode control characters are called marks.

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 skeptical comments apply only to intelligence at the tactical and operational levels ; at the strategic and political levels he constantly stressed the requirement for the best possible understanding of what today would be called strategic and political intelligence.

Such word sets can also be called etymological twins, and of course they may come in groups of higher numbers, as with, for example, the words wain ( native ) wagon ( Dutch ) and vehicle ( Latin ) in English.

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

Such dishes are called by specific names that refer to their ingredients, spicing, and cooking methods.

Such a soluble cell extract is not identical to the soluble part of the cell cytoplasm and is usually called a cytoplasmic fraction.

Such instruments are referred to as unfretted whereas instruments using the same strings for several notes are called fretted.

Such predictions were called into question by 1995 data that show that within regions of Southeast Asia much of the original forest has been converted to monospecific plantations, but that potentially endangered species are few and tree flora remains widespread and stable.

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 was the case with Maximillien Robespierre, whose supporters knew him as " The Incorruptible ", while his opponents called him " dictateur sanguinaire ", French for " bloodthirsty dictator ".

Such a letter or ligature, with its diacritics, is called an " syllable ".

Such systems are called on-grid power systems and may supply the grid with additional power, draw power from the grid or do both.

Such a theory is called a hidden variable theory.

Such a path is called a Kempe chain.

Such a preserved specimen is called a " fossil " if it is older than some minimum age, most often the arbitrary date of 10, 000 years ago.

Such a functor is called a constant or selection functor.

Such flows are called potential flows.

Such spaces are called Banach spaces.

Such a field is also called a Prime field.