Since then, the antiparticles of many other subatomic particles have been created in particle accelerator experiments.

Since a " perfect vacuum " contains no charged particles, it normally behaves as a perfect insulator.

Since half of the particles at point move right and half of the particles at point move left, the net movement to the right is:

Since the deformations on the surface are the only imprint of the incoming particle, and since these deformations would have to completely determine the outgoing particles ,'t Hooft believed that the correct description of the black hole would be by some form of string theory.

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 complex algebra is responsible for the striking interference effect of quantum mechanics, phase of particles is therefore ultimately related to their quantum behavior.

Since it is assumed in cosmology that the particles we see were created using the same physics we measure today, it would normally be expected that the overall baryon number should be zero, as matter and antimatter should have been created in equal amounts.

Since, nonrelativistically, particles can have any statistics and any spin, there is no way to prove a spin-statistics theorem in nonrelativistic quantum mechanics.

Since all other atomic, or molecular systems, involve the motions of three or more " particles ", their Schrödinger equations cannot be solved exactly and so approximate solutions must be sought.

Since free quark searches consistently failed to turn up any evidence for the new particles, and because an elementary particle back then was defined as a particle which could be separated and isolated, Gell-Mann often said that quarks were merely convenient mathematical constructs, not real particles.

Since the scattering angle is uniquely determined for a given and, the number of particles scattered into an angle between and must be the same as the number of particles with associated impact parameters between and.

Since snow is composed of small ice particles, it is a granular material.

Since the number of particles in the universe is generally considered to be less than 10 to the power 100 ( a googol ), there is no hope to find an explicit counterexample by exhaustive search.

Since the light scattered from extremely small dust particles is strongly forward scattering, although the zodiacal light actually extends all the way around the sky, it is brightest when observing at a small angle with the sun.

Since, we see that the total radiated power goes as or, which accounts for why electrons lose energy to bremsstrahlung radiation much more rapidly than heavier charged particles ( e. g., muons, protons, alpha particles ).

Since tidal forces overwhelm the gravity that might hold the satellite together within the Roche limit, no large satellite can gravitationally coalesce out of smaller particles within that limit.

Since it is beneficial for particles to reside in the grain boundaries and they exert a force in opposite direction compared to the grain boundary migration.

Since the 1990s, " colloidal silver ", a liquid suspension of microscopic silver particles, has been marketed as an alternative medicine, often claiming impressive " cure-all " qualities.

Since F – D statistics applies to particles with half-integer spin, these particles have come to be called fermions.

Since a " perfect vacuum " contains no charged particles, vacuums normally behave as perfect insulators ( they would be the greatest insulators known ).

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 the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Since we can neither undo nor redo the past, we are limited to the events of today and tomorrow.

Since the recognition of Israel as a nation state, claims are made in many cases which identify the claimant as a member of the new body politic.

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 conventional methods are insensitive at the low frequencies of these molecular transitions, the paramagnetic resonance method is being used instead.

Since broadcast frequencies are very limited in number, these objectives are to some extent inconsistent in that not all of them can be fully realized, and to the extent that each is realized, there is a corresponding reduction of the possibilities for fullest achievement of the others.

Since the provision of skywave service requires adequate freedom from interference, only class 1, stations are capable of rendering skywave service.

Since the sides are also covered up to the spray rails, they are also rough-sanded in that area.

Since fly cutters are one sided and not balanced, they should be used at the slowest speed available, and fed very slowly to avoid binding.

Since there are almost no schools in the country offering graduate work in interior design this rule cannot at present be observed.

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 practical washing procedures are both lengthy and expensive, a number of laboratory tests have been developed for the numerical evaluation of detergents.

Since the circulating thyroid hormones are the amino acids thyroxine and tri-iodothyronine ( cf. Section C ), it is clear that some mechanism must exist in the thyroid gland for their release from proteins before secretion.

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 Af are distinct prime polynomials, the polynomials Af are relatively prime ( Theorem 8, Chapter 4 ).

Since D and D' are both diagonalizable and they commute, they are simultaneously diagonalizable, and Af is diagonalizable.

Since N and N' are both nilpotent and they commute, the operator Af is nilpotent ; ;

Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.

Since the choice is by lot each week, the outcomes of different trials are independent.

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.