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Page "Curl (mathematics)" ¶ 32
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Since and depends
Since the validity of all subsequent planning depends on the accuracy of the basic inventory information, great care is being taken that the inventory is as complete as possible.
Since the psychiatric interview, like any other interview, depends on communication, it is significant to note that the therapist in this interview was a man of marked skill and long experience.
Since the activity of antibacterials depends frequently on its concentration, in vitro characterization of antibacterial activity commonly includes the determination of the minimum inhibitory concentration and minimum bactericidal concentration of an antibacterial.
Since the value of this energy depends on the shapes and positions of the conductors and dielectrics, the Casimir effect manifests itself as a force between such objects.
Since construction of the Aswan Dam, agriculture in the Nile valley depends on irrigation.
Since collecting depends on the interests of the individual collector, it may deal with almost any subject.
Since the potential energy depends on the spatial arrangement of the particles, the kinetic energy will also depend on the spatial configuration to conserve energy.
Since the quality of most services depends largely on the quality of the individuals providing the services, it is true that " people costs " are a high component of service costs.
Since Macau has little arable land and few natural resources, it depends on mainland China for most of its food, fresh water, and energy imports.
Since a macro virus depends on the application rather than the operating system, it can infect a computer running any operating system to which the targeted application has been ported.
Since neodymium coloration depends upon " forbidden " f-f transitions deep within the atom, there is relatively little influence on the color from the chemical environment, so the color is impervious to the thermal history of the glass.
Since it depends only on the basic mechanic of betting in rounds, strip poker can be played with any form of poker ; however, it is usually based on simple variants with few betting rounds, like five card draw.
Since we've assumed that we can infallibly identify programs for computing squares, we can determine whether t, which depends on a and i, is such a program, and that for every a and i ; thus we have obtained a program that decides whether program a halts on input i. Note that our halting-decision algorithm never executes t, but only passes its description to the squaring-identification program, which by assumption always terminates ; since the construction of the description of t can also be done in a way that always terminates, the halting-decision cannot fail to halt either.
Since it only depends on two of the observations, it is most useful in representing the dispersion of small data sets.
Since the current available depends on the state of charge of the dry cell, a multimeter usually has an adjustment for the ohms scale to zero it.
Since the E1 component of nuclear EMP depends on the prompt gamma ray output, which was only 0. 1 % of yield in Starfish Prime but can be 0. 5 % of yield in pure fission weapons of low yield, a 10 kiloton bomb can easily be 5 x 8 % = 40 % as powerful as the 1. 44 megaton Starfish Prime at producing EMP.
Since the field inside a parallel plate capacitor depends linearly on the potential, the index of refraction depends linearly on the field ( for crystals where Pockels effect dominates ), and the phase depends linearly on the index of refraction, the phase modulation must depend linearly on the potential applied to the EOM.
Since this scheme depends on the difference between successive phases, it is termed differential phase-shift keying ( DPSK ).
Since temperature in principle also depends on altitude, one needs a second equation to determine the pressure as a function of height, as discussed in the next section.
Since the gyrocompass's north-seeking function depends on the rotation around the axis of the Earth that causes torque-induced gyroscopic precession, it will not orient itself correctly to true north if it is moved very fast in an east to west direction, thus negating the Earth's rotation.
Since thrust depends on both the amount of gas moved and the velocity, we can generate high thrust by accelerating a large mass of gas by a small amount, or by accelerating a small mass of gas by a large amount.
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 and on
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 his Christ was to be life size, how was Mary to hold him on her lap without the relationship seeming ungainly??
Since that time the demands of the citizens for new and expanded services have placed financial burdens on the state which could not have been foreseen in earlier years.
Since April 15, 1962, is on Sunday your return for the calendar year 1961 will be timely filed if it is filed on or before Monday, April 16, 1962.
Since you contributed more than half of his support, you may also claim an exemption for him on your return.
Since charges are relatively the same, reserving a car before you leave for Europe will assure you of having one on tap when you want it.
Since emotional reactions in the higher vertebrates depend on individual experience and are aroused in man, in addition, by complex symbols, one would expect that the hypothalamus could be excited from the cortex.
Since two curves of symbol Af on Q intersect in Af points, it follows that there are Af lines of Af which are tangent to Aj.
Since her bereavement this individual has reported to the writer on numerous occasions about how helpful the class discussions were to her in this adjustment crisis.
Since the details of the elections were settled the change of government had no direct effect on the technical aspects of the elections, and may have been more important as an indication of royal displeasure with the U.N.F.P.
Since on the one hand school desegregation has come in Virginia hand-in-glove with pupil assignment, shall we support the plan??
Since I have already discussed his moral position, that discussion is incorporated by reference into the following pages, which will focus on the empirical and analytic side of Fromm's treatment.
Since the earth is rotating and the unleveled gyro-stabilized platform is fixed with respect to a reference in space, an observer on the earth will see the platform rotating ( with respect to the earth ).
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.
Since 1949, the St. Louis club has been below on May 1 just four times.
Since the railroad cannot reduce the salary of individual union members under contract, it must accomplish its payroll reduction by placing some of the men on furlough, a B. & O. spokesman said.
( page 33 ) On the other hand, a little later on he says: `` Since 1692 a great but superficial change has wiped out God's beard and the Devil's horns, but the world is still gripped between two diametrically opposed absolutes.
Since the hero, a sterling and upright fellow, is a rich Brown senior, while two Yalies are cast as virtual rapists, I suppose I should disqualify myself from sitting in judgment on `` Where The Boys Are '', but I shall do nothing of the sort.
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 then, it has focused on improving relationships with Western countries, cultivating links with other Portuguese-speaking countries, and asserting its own national interests in Central Africa through military and diplomatic intervention.
Since 1998, Angola has successfully worked with the United Nations Security Council to impose and carry out sanctions on UNITA.
Since membership is based on a province's communion with Canterbury, expulsion would require the Archbishop of Canterbury's refusal to be in communion with the affected jurisdiction ( s ).

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