Since she could not act, one part suited her as well as any other, and so she was the first person to offer Mr. Lincoln a glass of water, holding it up to the box, high above her head, to Miss Harris, who had asked for it.

Since ordinary breakfast-table conversation was impossible, it was at least something that they were able to offer Eugene the sugar bowl with their sugar in it, and the plate of bread and butter, and that Eugene could return the pitcher of hot milk to them handle first.

Since accurate base maps are necessary for any planning program, the first step taken by the planning division to implement the long-range state plan has been to prepare two series of base maps -- one at a scale of 1 inch to a mile, and the second a series of 26 sheets at a scale of 1 inch to 2000 feet, covering the entire state.

Since the mid 1950s, when urethane foam first made its appearance in the American market, growth has been little short of fantastic.

Since a fall or blow might have caused it, a cold pack was usually first aid.

Since then and during the first decade, the results were given to newspapers for publication at 11 pm on the night of the awards.

Since some of the Roman months were named in honor of divinities, and as April was sacred to the goddess Venus, the Festum Veneris et Fortunae Virilis being held on the first day, it has been suggested that Aprilis was originally her month Aphrilis, from her equivalent Greek goddess name Aphrodite ( Aphros ), or from the Etruscan name Apru.

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

Since this picture was first developed by Ernst Stueckelberg, and acquired its modern form in Feynman's work, it is called the Feynman-Stueckelberg interpretation of antiparticles to honor both scientists.

Since the first discovery in 1884, fossils of more than thirty individuals have been recovered, providing scientists with a more detailed knowledge of Albertosaurus anatomy than is available for most other tyrannosaurids.

Since the first pioneering efforts of Florey and Chain in 1939, the importance of antibiotics, including antibacterials, to medicine has led to intense research into producing antibacterials at large scales.

Since the start of the 2008 season, the Falcons have recorded four consecutive winning seasons for the first time in franchise history.

School ( 1904 ) Sanskriti ... The School ( 2004 ) and Sophia Girls ' School ( 1918 / 1935 ) & College ( 1942 ), Rashtriya Military School Ajmer ( Since 2010-Established in 1930 as King George ’ s Royal Indian Military School ), and the historic Ajmer Music College, founded in 1942, the first accredited institution in Rajputana for teaching Hindustani classical music.

Since electricity is an expensive utility, the first step towards conservation is to design a house and lifestyle to reduce demand.

Since the bigger 1 / 4 " tapioca pearls are separately sold as " black pearls " ( 黑珍珠 ) in markets, this name was the logical first choice and is more popular with the consumers of the drink.

* Since Big Brother 2, the UK series always opens with a twist which have included the public being able to choose the final housemate out of three possibilities ( Big Brother 2 ), the public voting for a housemate to leave during the first week and then the housemates choosing between the two housemates with the least number of votes ( Big Brother 3 ), First Night Nominations ( Big Brother 4 ), Suitcase Nominations ( Big Brother 5 ), Unlucky Housemate 13 ( Big Brother 6 ), Big Brother Hood ( Big Brother 7 ), an all-female House and the first inclusion of twins as contestants ( Big Brother 8 ), the first couple to enter as housemates and set a secret task to hide their real relationship ( Big Brother 9 ), all " housemates " really being " non-housemates " who had to earn their housemate status ( Big Brother 10 ), a mole entering the House with an " Impossible Task " ( Big Brother 11 ), Jackie Stallone entering a house containing her son's ex-wife ( Celebrity Big Brother 3 ), the entrance of a non-celebrity in a celebrity edition ( Celebrity Big Brother 4 ) and Jade Goody's family announced to be visiting.

Since the introduction of the first commercially available microprocessor ( the Intel 4004 ) in 1970, and the first widely used microprocessor ( the Intel 8080 ) in 1974, this class of CPUs has almost completely overtaken all other central processing unit implementation methods.

Since 1979, a facsimile edition of that first edition has been available in four paper-bound volumes.

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.

Since the consolidation of newspaper comics by the first quarter of the 20th century, most cartoonists have used a group of assistants ( with usually one of them credited ).

The proof of this fact relies on an algorithm which, given the first n digits of Ω, solves Turing's halting problem for programs of length up to n. Since the halting problem is undecidable, Ω can not be computed.

Since the mechanism of retention on this new solid support is different from the first dimensional separation, it can be possible to separate compounds that are indistinguishable by one-dimensional chromatography.

Since the surfaces of a wet clutch can be slippery ( as with a motorcycle clutch bathed in engine oil ), stacking multiple clutch discs can compensate for the lower coefficient of friction and so eliminate slippage under power when fully engaged.

Since any chemical component can participate in several reactions simultaneously, the stoichiometric coefficient of the i – th component in the k – th reaction is defined as

Since it is of the discrete form, then the absorption coefficient and CD of the line are given by

Since drag rises rapidly with speed, a key priority of supersonic aircraft design is to minimize this force by lowering the coefficient of drag.

X < sub > nm </ sub > is the ( n − m ) th fourier coefficient of the classical motion at orbit n. Since X < sub > nm </ sub > has opposite frequency to X < sub > mn </ sub >, the condition that X is real becomes:

Since A ( t ) has a classical Fourier series with only the lowest frequency, and the matrix element A < sub > mn </ sub > is the ( m − n ) th Fourier coefficient of the classical orbit, the matrix for A is nonzero only on the line just

Since the principal A ( 0 ) is simply a coefficient, it is often dropped for simplicity, and the resulting accumulation function is used in interest theory instead.

Since it effectively uses an analytic function ( drag coefficient modelled as a function of the Mach number ) in order to match the drag behaviour of the specific bullet the Pesja method does not need to rely on any prefixed assumption.

Since only the relative phase between the coefficients of the two basis vectors has any physical meaning, we can take the coefficient of to be real and non-negative.

* Since the temperature difference between the hot gases and the fluid to be heated ( steam or water ) is low, and with the heat transmission coefficient being low as well, the evaporator and economizer are designed with plate fin heat exchangers.

Since the temperature of the conductor increases with increasing heat produced by the current through it, it is sometimes possible to increase the power handling capacity ( uprate ) by changing the conductors for a type with a lower coefficient of thermal expansion or a higher allowable operating temperature.

Since p is prime, for all n = 1, ..., p − 1 the binomial coefficient is divisible by p, which implies that

Since Austria climbed from nineteenth to fifteenth place in the UEFA association coefficient rankings at the end of the 2011 – 12 season, the league gained its second spot for the UEFA Champions League.

Since the energy states of valence tautomers affect the IVCT band, the strength of electronic interaction between the sites, known as α ( the mixing coefficient ), can be determined by analysis of the IVCT band.

Since practical light sources with wavelengths narrower than these lasers have not been available, manufacturers have sought to improve resolution by reducing the process coefficient.

Since the average value of is 1 / 2, the transmission coefficient becomes

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

This subextension is called a separable closure of K. Since a separable extension of a separable extension is again separable, there are no finite separable extensions of K < sup > sep </ sup >, of degree > 1.

Since the 1990s, SO < sub > 2 </ sub > emissions have dropped 40 %, and according to the Pacific Research Institute, acid rain levels have dropped 65 % since 1976.

Since B < sub > n </ sub >= 0 for all odd n > 1, and many formulas only involve even-index Bernoulli numbers, some authors write B < sub > n </ sub > instead of B < sub > 2n </ sub >.

Since the mass numbers of these are 12, 13 and 14 respectively, the three isotopes of carbon are known as carbon-12, carbon-13, and carbon-14, often abbreviated to < sup > 12 </ sup > C, < sup > 13 </ sup > C, and < sup > 14 </ sup > C.

Since the map d restricts to 0 on I < sub > x </ sub >< sup > 2 </ sup > ( the reader should verify this ), d descends to a map from I < sub > x </ sub > / I < sub > x </ sub >< sup > 2 </ sup > to the dual of the tangent space, ( T < sub > x </ sub > M )< sup >*</ sup >.

Since at this stress the slope of the material's stress-strain curve, E < sub > t </ sub > ( called the tangent modulus ), is smaller than that below the proportional limit, the critical load at inelastic buckling is reduced.

Since we are assuming circular motion, let r ( t ) = R · u < sub > r </ sub >, where R is a constant ( the radius of the circle ) and u < sub > r </ sub > is the unit vector pointing from the origin to the point mass.

Since < tt > ns1 </ tt > is contained in < tt > example. org </ tt >, this requires resolving < tt > example. org </ tt > first, which presents a circular dependency.

Since every equivalence relation over X corresponds to a partition of X, and vice versa, the number of possible equivalence relations on X equals the number of distinct partitions of X, which is the nth Bell number B < sub > n </ sub >:

Since all probabilities p < sub > i </ sub > add up to one: p < sub > 1 </ sub > + p < sub > 2 </ sub > + ... + p < sub > k </ sub > = 1, the expected value can be viewed as the weighted average, with p < sub > i </ sub >’ s being the weights: