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 marginal costs rise when the wage rate rises, the profit-maximizing price also rises when the public-limit price is elevated, and is likely to remain well above the latter.

Since American life is committed above all to productivity and a higher standard of economic life, the countervailing forces of residential and religious exclusiveness have fought a desperate, rearguard action against the expanding interdependence of the metropolis.

Since rococo music tends to be pretty and elegant above all, it can seem rather vacuous to twentieth-century ears that have grown accustomed to the stress and dissonances of composers from Beethoven to Boulez.

Since all anchors that embed themselves in the bottom require the strain to be along the seabed, anchors can be broken out of the bottom by shortening the rode until the vessel is directly above the anchor ( at this point the anchor chain is " up and down " in naval parlance ).

Since the donation of the Abbey Moutier-Grandvalto and all its possessions to Bishop Adalbero II in 999 till the Reformation, Basel was ruled by prince-bishops ( see Bishop of Basel, whose memory is preserved in the crosier shown on the Basel coat-of-arms – see above ).

Since the entries of the Jacobian matrix are partial derivatives, we may simplify the above formula to get:

Since these stock additions retain the short pistol barrel ( as short as 100 mm ( 4 inches )) they are highly restricted under the NFA unless the shoulder stocks are of original manufacture for the gun and the gun has been " delisted " as outlined in links 1 & 2 in the paragraph above, as is the case with so-equipped " Broomhandle " Mausers and Lugers.

where and as Since and, the above can be re-written as

Since classical analog filters are IIR filters, there has been a long history of studying the range of possible transfer functions implementing various of the above desired filter responses in continuous time systems.

Since part of this re-radiation is back towards the surface and the lower atmosphere, it results in an elevation of the average surface temperature above what it would be in the absence of the gases.

Since it is no longer maintained ( essentially replaced by the open source freeglut ) the above design issues are still not resolved in the original GLUT.

Since the energy-momentum tensor T < sub > μν </ sub > is normally understood to be due to concentrations of matter in four-dimensional space, the above result is interpreted as saying that four-dimensional matter is induced from geometry in five-dimensional space.

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

Since the early 20th century, a form of standardized Mandarin ( described above ) has been the official and de facto national standard language in China and it is today one of the most frequently used varieties of Chinese among Chinese diaspora communities internationally.

Since the solar wind is continuously flowing outward, the magnetopause above, below and to the sides of the planet are swept backward into the geomagnetic tail as shown in the artist ’ s concept.

" Featured on the magazine cover is defensive player Dennis Gaubatz, number 53, in midair pursuit with this description: " That is he, looming 10 feet tall or taller above the Steelers ' signal caller ... Since Gaubatz acts like this on Sunday, I'll do my quarterbacking Monday.

Since E < sub > 2 </ sub >-E < sub > 1 </ sub > ≫ kT, it follows that the argument of the exponential in the equation above is a large negative number, and as such N < sub > 2 </ sub >/ N < sub > 1 </ sub > is vanishingly small ; i. e., there are almost no atoms in the excited state.

Since 1741 Stangate Creek ( on the Medway ) had been made the quarantine station at home ; but it would appear from the above clause that it was available only for vessels with clean bills.

Since there is a one-to-one correspondence between Borel regular measures in the interval and functions of bounded variation ( that assigns to each function of bounded variation the corresponding Lebesgue-Stieltjes measure, and the integral with respect to the Lebesgue-Stieltjes measure agrees with the Riemann-Stieltjes integral for continuous functions ), the above stated theorem generalizes the original statement of F. Riesz.

Since PHP 5. 3, it implements the algorithm from Bacon's above mentioned paper.

Since Dyson was being tackled by the legs, there was still the possibility he could reach towards the end zone and get the ball above the goal line.

Since 1959, most ideas for space elevators have focused on purely tensile structures, with the weight of the system held up from above.

Since statements ascribing mental predicates to individuals make claims about nothing over and above their behavior, they can be verified to be true or false by observation of behavior.

Since the magic packet is only scanned for the string above, and not actually parsed by a full protocol stack, it may be sent as any network-and transport-layer protocol, although it is typically sent as a UDP datagram to port 7 or 9, or directly over Ethernet as EtherType 0x0842.

Since the change to better nutrition, he feels he can report on improvements in health, though he considers the following statements observations and not scientific proof.

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 then the proof has gained wider acceptance, although doubts remain.

' In the second case, he cites an example that demonstrates ignorance of statistical principles in the lay press: ' Since no such proof is possible genetically modified food is harmless, the article in The New York Times was what is called a " bad rap " against the U. S. Department of Agriculture-a bad rap based on a junk-science belief that it's possible to prove a null hypothesis.

Since he was eleven years her elder, already married, and a Buddhist, May-ling's mother vehemently opposed the marriage between the two, but finally agreed after Chiang showed proof of his divorce and promised to convert to Christianity.

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.

: 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 the proof of the Lagrange inversion formula is a very short computation, it is worth reporting it here.

Since that date, proof of unbroken possession or use of any right made it unnecessary to establish the original grant under certain circumstances.

However, the more difficult proof of the converse ( see below ) makes use of the vector space structure: Since both of the factors are vector spaces over Q, the tensor product can be taken over Q.

Since God is absolutely self-sufficient ( a result from the cosmological " proof " of His existence ), all-knowing, and all-powerful, He is categorically free from any type of need and, consequently, He never does anything that is ridiculous, unwise, ugly, or evil.

Since the leaks, Statoil has stated that the oil has mostly dissolved, and there is not much proof of ecological harm.

Since the only known way to solve that problem is to factor the modulus, it is generally regarded that the difficulty of integer factorization provides a conditional security proof for the Blum Blum Shub algorithm.

Since this probability is an increasing function of p ( proof via coupling argument ), there must be a critical p ( denoted by p < sub > c </ sub >) below which the probability is always 0 and above which the probability is always 1.

Since, further, according to him the fulfilment of prophecy is the only valid proof of Christianity, he thus secretly aims a blow at Christianity as a revelation.

Since the prosecution at her trial did not meet their burden of proof, by today ’ s standards, it is impossible to know for sure whether she was guilty.

Since even a free person could not possibly have knowledge of their own freedom, we cannot use our failure to find a proof for freedom as evidence for a lack of it.

Since a defense is raised by the defendant in a direct attempt to avoid what would otherwise result in liability, the defendant typically holds the burden of proof.

Since God needs faith to exist, and this proof dispels the need for faith, this therefore causes God to vanish " in a puff of logic ".

Since this early work, sequent calculi ( also called Gentzen systems ) and the general concepts relating to them have been widely applied in the fields of proof theory, mathematical logic, and automated deduction.

Since formal proofs in proof theory are purely syntactic, the meaning of ( the derivation of ) a sequent is only given by the properties of the calculus that provides the actual rules of inference.

Since no such computer to fully evolve Autoverse life exists, Durham has to try to convince Maria that he is a wealthy Autoverse enthusiast interested in her evolvability results and looking for a proof of concept for a much larger system.

Since the Chinese troops at Mukden had put up such a poor resistance, he told Manchukuo Emperor Puyi that this was proof that the Chinese remained loyal to him.

Since proof of the writer's malicious intentions is hard to provide, proof that the writer knowingly published a falsehood was generally accepted as proof of malice, under the assumption that only a malicious person would knowingly publish a falsehood.