Since then, the RG series has introduced fixed bridge models, but Ibanez still produces the RGA series with an arched top to differentiate from the RG series. The arched top allows for added comfort while playing the guitar.

Since large wavenumbers are related to short length scales, the momentum-space RG results in an essentially similar coarse-graining effect as with real-space RG.

Since temperature is thermodynamically conjugate to entropy, the isothermal process is conjugate to the adiabatic process for reversible transformations.

Since 1989, when local and regional self-government was gradually reintroduced and the market economy was introduced, Toruń, like other cities in Poland, has undergone deep social and economic transformations.

* Since NP-complete problems transform to each other by polynomial-time many-one reduction ( also called polynomial transformation ), all NP-complete problems can be solved in polynomial time by a reduction to H, thus all problems in NP reduce to H ; note, however, that this involves combining two different transformations: from NP-complete decision problems to NP-complete problem L by polynomial transformation, and from L to H by polynomial Turing reduction ;

Since Veränderungen can mean not only " variations " but also " transformations ", it is sometimes suggested that Beethoven was announcing that this work does something more profound than had hitherto been done in variation form.

Since the head can move in a vastly varied number of ways, it is not possible to search for all possible candidates ; nor is there right now an algorithm that provides a globally optimal solution independent of the first transformations we try in a chain.

Since Lagrangian mechanics is based on generalized coordinates, transformations of the coordinates q → Q do not affect the form of Lagrange's equations and, hence, do not affect the form of Hamilton's equations if we simultaneously change the momentum by a Legendre transform into

Since restricted transformations have no explicit time dependence ( by construction ), the time derivative of a new generalized coordinate Q < sub > m </ sub > is

Since the variables determining such reactions were not understood, therapeutic transformations of this kind were not readily replicable.

Since a standard torus is an orbit of a two dimensional abelian subgroup of the Euclidean group, it follows that the cyclides are orbits of two dimensional abelian subgroups of the group of Möbius transformations, and this provides a second way to define them.

Since there is a Möbius transformation which maps any three given points in the plane to any other three points, and since Möbius transformations preserve circles, then there is a Möbius transformation which maps any two Apollonian gaskets to one another.

Since then, environmental transformations have made the development of swarms from the African migratory locust unlikely.

Since it is often desirable to work with more than one basis for a vector space, it is of fundamental importance in linear algebra to be able to easily transform coordinate-wise representations of vectors and linear transformations taken with respect to one basis to their equivalent representations with respect to another basis.

Since the lengths of vectors and the angles between them are defined through the inner product, orthogonal transformations preserve lengths of vectors and angles between them.

Since this is required to be equivalent to the Schrödinger theory of quantum mechanics which is invariant under coordinate transformations, this property must be shared by path integrals.

Since the Gauss constraints are local, it suffices to consider gauge transformations U which approach 1 at spatial infinity.

Since angles are invariant under transformations of reference frames, transforming back to the Earth's reference frame we still get the result that the hunter should aim straight at the monkey.

Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.

Since Rhode Island at that time did not have such sanction, his opinion was not popular.

Since the great flood of these dystopias has appeared only in the last twelve years, it seems fairly reasonable to assume that the chief impetus was the 1949 publication of Nineteen Eighty-Four, an assumption which is supported by the frequent echoes of such details as Room 101, along with education by conditioning from Brave New World, a book to which science-fiction writers may well have returned with new interest after reading the more powerful Orwell dystopia.

Since appeals to morality, to humanity, and to sanity have had such small effect, perhaps our last recourse is the deterrent example.

Since the Catholic Church expresses such desire that the Sacred Scriptures be read, the following taken from the Holy Bible ( New Catholic Edition ) will prove a means of grace and a source of great spiritual blessing.

Since apurva is non-sentient, it cannot act unless moved by an intelligent being such as a god.

Since the 1980s issues of power, such as those examined in Eric Wolf's Europe and the People Without History, have been central to the discipline.

Since a coulomb is approximately equal to elementary charges ( such as electrons ), one ampere is approximately equivalent to elementary charges moving past a boundary in one second, or the reciprocal of the value of the elementary charges in coulombs.

Since in oral languages the elements of sound are for the most part produced linearly in time ( that is, in a word like cat the a sound comes after the c sound, and the t sound comes after that ), they can generally be easily written in a linear ( one-dimensional ) writing system such as an alphabet.

Since complex scalar fields admit two different kinds of annihilation operators, which are related by conjugation, such fields describe charged bosons.

Since n grows faster than log < sub > 2 </ sub >( n ), there must exist a value n < sub > 0 </ sub > such that

Since the demise of Commodore, various groups have marketed successors to the original Amiga line, including Genesi, Eyetech, ACube Systems and A-EON Technology, and AmigaOS has influenced replacements, clones and compatible systems such as MorphOS, AmigaOS 4 and AROS.

Since some modern scholars do detect subtle theological and historical differences between the texts, such scholars do not subscribe to the rough-draft / polished-draft theory.

Since John Wesley ordained and sent forth every Methodist preacher in his day, who preached and baptized and ordained, and since every Methodist preacher who has ever been ordained as a Methodist was ordained in this direct " succession " from Wesley, then the Methodist Church teaches that it has all the direct merits coming from apostolic succession, if any such there be.

Since then groups that are not affiliated to the Santo Daime have used ayahuasca, and a number of different ' styles ' have been developed, such as the non-religious approach developed by Daniel Waterman in 2001, popularly termed Ayahuasca Open Style ( AOS ).

Since “ a cappella ” singing brought a new polyphony with instrumental accompaniment, it is not surprising that Protestant reformers who opposed the instruments ( such as Calvin and Zwingli ) also opposed the polyphony.

Since 1998, Harvard University wraps some of the valuable statues on its campus, such as this " Harvard Bixi | Chinese stele ", with waterproof covers every winter, in order to protect them from erosion caused by acid rain.

Since Lavoisier's knowledge of strong acids was mainly restricted to oxoacids, such as ( nitric acid ) and ( sulphuric acid ), which tend to contain central atoms in high oxidation states surrounded by oxygen, and since he was not aware of the true composition of the hydrohalic acids ( HF, HCl, HBr, and HI ), he defined acids in terms of their containing oxygen, which in fact he named from Greek words meaning " acid-former " ( from the Greek οξυς ( oxys ) meaning " acid " or " sharp " and γεινομαι ( geinomai ) meaning " engender ").

Since many scientific applications require incubation at temperatures close to human body temperature ( 37 ° C ), agar is more appropriate than other solidifying agents that melt at this temperature, such as gelatin.

Since 1998, Harvard University wraps some of the bronze and marble statues on its campus, such as this " Harvard Bixi | Chinese stele ", with waterproof covers every winter, in order to protect them from erosion caused by acid rain ( or, actually, acid snow )

Since the 1990s, the changeup has made a resurgence, being thrown masterfully by pitchers such as Tim Lincecum, Pedro Martinez, Trevor Hoffman, Greg Maddux, Tom Glavine, Johan Santana, Justin Verlander and Cole Hamels.

Since then, biochemistry has advanced, especially since the mid-20th century, with the development of new techniques such as chromatography, X-ray diffraction, dual polarisation interferometry, NMR spectroscopy, radioisotopic labeling, electron microscopy, and molecular dynamics simulations.

Since their coming to power in 1997, controversies affecting the Labour Government such as David Blunkett's affair with Spectator editor Kimberly Fortier and financial scandals involving senior ministers and officials shifted the focus to sleaze within the Labour Party.

Since most BME-related professions involve scientific research, such as in pharmaceutical and medical device development, graduate education is almost a requirement ( as undergraduate degrees typically do not involve sufficient research training and experience ).

Since its obtainment was considerably more expensive than that of brick, sandstone only gradually came into use, and at first was used for particular elements such as door frames.