Since the fluctuations are assumed to be small, products of the fluctuation terms can be neglected ( to first order ) and we have

Since the 1970s, self-help books, psychology, and some modern expressions of Christianity have viewed this disparity in terms of grace being an innate quality within all people who must be inspired or strong enough to find it: something to achieve.

Since 4 % can be expressed as. 04, gives the amount of alcohol in terms of ml — which, when divided by, shows the number of units.

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 the dawn of Newtonian science with its vision of simple mechanical principles governing the entire universe, some philosophers have been tempted by the idea that consciousness could be explained in purely physical terms.

Since the introduction of the comic book format in 1933 with the publication of Famous Funnies, the United States has produced the most titles, along with British comics and Japanese manga, in terms of quantity of titles.

Since the time of Pāṇini, at least, linguists have described the grammars of languages in terms of their block structure, and described how sentences are recursively built up from smaller phrases, and eventually individual words or word elements.

The Oral Torah is the primary guide for Jews to abide by these terms, as expressed in tractate Gittin 60b, " the Holy One, Blessed be He, did not make His covenant with Israel except by virtue of the Oral Law " to help them learn how to live a holy life, and to bring holiness, peace and love into the world and into every part of life, so that life may be elevated to a high level of kedushah, originally through study and practice of the Torah, and since the destruction of the Second Temple, through prayer as expressed in tractate Sotah 49a " Since the destruction of the Temple, every day is more cursed than the preceding one ; and the existence of the world is assured only by the kedusha ... and the words spoken after the study of Torah.

Since such radiation can produce severe damage to life at powers that produce very little heating, it is considered far more dangerous ( in terms of damage-produced per unit of energy, or power ) than the rest of the electromagnetic spectrum.

Since counter-clockwise may be defined in terms of up, forward, and right, this experiment unambiguously differentiates left from right using only natural elements: If they were reversed, or the atoms spun clockwise, the radiation would follow the spin axis instead of being opposite to it.

Since Kourouniotes ’ s excavation, anthropologists and scholars of Arcadian religion have studied the site in terms of its development as a sanctuary, but there was no further systematic or scientific investigation until 1996, when Dr. David Gilman Romano of the University of Pennsylvania conducted a topographical and architectural survey of the site.

Since these concepts are formally defined in the article on structures, the present article can content itself with an informal introduction which consists in examples of how these terms are used.

Since the inception of the two terms, their meanings have been revised several times and the term macroevolution fell into limited disfavour when it was taken over by such writers as the geneticist Richard Goldschmidt ( 1940 ) and the paleontologist Otto Schindewolf to describe their orthogenetic theories.

Since the amendment's adoption, four presidents have served two full terms: Dwight D. Eisenhower, Ronald Reagan, Bill Clinton and George W. Bush.

Since then, several more efficient quinine total syntheses have been achieved, but none of them can compete in economic terms with isolation of the alkaloid from natural sources.

Since the terms are administrative political subdivisions of the local regional government their exact relationship and definitions are subject to home rule considerations, tradition, as well as state statute law and local governmental ( administrative ) definition and control.

Since then, the original relative terms have become identified with the technologies of the Paleolithic and Mesolithic, so that they are no longer relative.

Since throughput is normally defined in terms of quantified digital data, the term ' throughput ' is not normally used ; the term ' bandwidth ' is more often used instead.

Since the proof Evans produces relies on the assumption that terms precisely denote vague objects, the implication is that the assumption is false, and so the vague-objects view is wrong.

Since E and P are defined separately, this equation can be used to define D. The physical interpretation of D is not as clear as E ( effectively the field applied to the material ) or P ( induced field due to the dipoles in the material ), but still serves as a convenient mathematical simplification, since Maxwell's equations can be simplified in terms of free charges and currents.

Since 1990, the classical form of monetarism has been questioned because of events which many economists have interpreted as being inexplicable in monetarist terms, namely the unhinging of the money supply growth from inflation in the 1990s and the failure of pure monetary policy to stimulate the economy in the 2001-2003 period.

Since 1993, Madeira produced from Tinta Negra Mole grapes is legally restricted to use generic terms on the label to indicate the level of sweetness as seco ( dry ), meio seco ( medium dry ), meio doce ( medium sweet ) and doce ( sweet ).

Since the 1970s, lobbying activity has grown immensely in terms of the numbers of lobbyists and the size of lobbying budgets, and has become the focus of much criticism of American governance.

Since the randomization-based analysis is complicated and is closely approximated by the approach using a normal linear model, most teachers emphasize the normal linear model approach.

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 virtually every calculation in quantum mechanics involves vectors and linear operators, it can involve, and often does involve, bra-ket notation.

Since these are a basis, any quantum state of the particle can be expressed as a linear combination ( i. e., quantum superposition ) of these two states:

* Since bras are linear functionals,

Since light is an oscillation it is not affected by travelling through static electric or magnetic fields in a linear medium such as a vacuum.

Since Einstein's equations are non-linear, arbitrarily strong gravitational waves do not obey linear superposition, making their description difficult.

Since this extends easily to higher dimensions, it is a common representation in linear algebra, and in computer programming.

Since the above is a linear system of equations ( more technically a linear transformation ), they can be written in matrix form:

Since the early 1980s, an elegant solution has been the near-frictionless air bearing linear arm which requires no tracking drive mechanism other than the record groove itself.

( Alternate argument: Since if and only if, the columns of satisfy the same linear relationships as the columns of.

Since the late 1970s, most non-musical vocoders have been implemented using linear prediction, whereby the target signal's spectral envelope ( formant ) is estimated by an all-pole IIR filter.

* Since the water molecule is not linear and the oxygen atom has a higher electronegativity than hydrogen atoms, it carries a slight negative charge, whereas the hydrogen atoms are slightly positive.

Since φ is a positive linear map whose range, the complex numbers C, is a commutative C *- algebra, φ is completely positive.

Since plasma has minimal mass, but is charged and therefore can be manipulated by an electric field, the result is a very linear output at frequencies far higher than the audible range.

: proof: Since the algebra is closed under squaring, and it has but two dimensions, the non-real basis element u squares to an arbitrary linear combination of 1 and u:

Since good tracking depends on the exact distance between the rotating drum and the fixed control / audio head reading the linear tracks, which usually varies by a couple of micrometers between machines due to manufacturing tolerances, most VCRs offer tracking adjustment, either manual or automatic, to correct such mismatches.

) Since JVC had gone through the complexity of ensuring Hi-Fi's backward compatibility with non-Hi-Fi VCRs, virtually all studio home video releases produced after this time contained Hi-Fi audio tracks, in addition to the linear audio track.

Since the equations dealt with in linear cryptanalysis will vary in probability, they are more accurately referred to as linear approximations.

Since the tidal force is linear in Δd, the related potential is proportional to the square of the variable and for we have

Since both axes use logarithmic units, the slope of the linear section of the curve is called the gamma of the film.