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

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 this implies that one particle is communicating with the other instantaneously across space, i. e. faster than light, this is the " paradox ".

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 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 no particle acts on itself ( i. e., whenever ), we have

Since the vacuum offered no medium for an electric fluid to travel, this discovery could only be explained via a particle carrying a negative charge and moving through the vacuum.

Since electromagnetism was known to be a wave generated by a changing electric or magnetic field ( a continuous, wave-like entity itself ) an atomic / particle description of electricity and charge was a non sequitur.

Since the force imparted by a magnetic field is proportional to the charge on the particle, and the acceleration is proportional to the force divided by the mass of the particle, the magnets required to contain uranium gas would be impractically large ; most such designs have focussed on fuel cycles that do not depend upon retaining the fuel in the reactor.

Since Millikan's work formed some of the basis for modern particle physics, it is ironic that he was rather conservative in his opinions about 20th century developments in physics, as in the case of the photon theory.

Since a free particle is restrained to a surface, and unless the surface atom is highly mobile, entropy is lowered.

Since the invariant mass is determined from quantities which are conserved during a decay, the invariant mass calculated using the energy and momentum of the decay products of a single particle is equal to the mass of the particle that decayed.

Since most varieties of particle occur only as a result of cosmic rays, or in particle accelerators, particle physics is also called high-energy physics.

Since proper distance at a given time is just comoving distance times the scale factor ( with comoving distance normally defined to be equal to proper distance at the present time, so at present ), the proper distance to the particle horizon at time is given by

An example is Tinosorb M. Since the UV-attenuating efficacy depends strongly on particle size, the material is micronised to particle sizes below 200 nm.

Since a particle can only fight in one direction at a time ( towards its team's cursor ), a player that surrounds its opponents will have a distinct advantage.

Since the frequencies which the particle emits are the same as the frequencies in the fourier description of its motion, this suggests that something in the time-dependent description of the particle is oscillating with frequency

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 the air on the top of the wing is traveling faster than on the bottom, due to Bernoulli effect, at speeds close to the speed of sound the air on the top of the wing will be accelerated to supersonic.

Since the speed of sound varies with temperature, and is virtually stable with pressure change, sonic anemometers are also used as thermometers.

Since the pressure difference determines the vertical position of the float this is a measured of the wind speed.

Since those boards generally lacked multiplier and voltage adjustment, and normally only supported 133 MHz FSB, adjustments would still be needed for full speed operation.

Since cyclists ' legs are most efficient over a narrow range of pedaling speeds ( cadence ), a variable gear ratio helps a cyclist to maintain an optimum pedalling speed while covering varied terrain.

Since the Universe has a finite age, and light travels at a finite speed, there may be events in the past whose light has not had time to reach us.

Since the tucked shape is the most compact, it gives the most control over rotational speed, and dives in this position are easier to perform.

Since enzymes are selective for their substrates and speed up only a few reactions from among many possibilities, the set of enzymes made in a cell determines which metabolic pathways occur in that cell.

Since the 1970s, sand-based pitches were favoured as they dramatically speed up the pace of the game.

Since the 1980s, various experiments have verified that it is possible for the group velocity of laser light pulses sent through specially prepared materials to significantly exceed the speed of light in vacuum.

Since the 1960s rather complex mathematical models have been developed, facilitated by the availability of high speed computers.

Since wave resistance and other impeding forces such as various types of drag ( physics ) on the hull are eliminated as the hull is lifted clear, turbulence and drag act only on the much smaller surface area of the hydrofoil and there is a marked increase in speed.

Since the electron's wavelength is determined by its momentum, orbitals containing higher speed electrons show contraction due to smaller wavelengths.

Since the flow speed is zero at these points, by Bernoulli's principle the static pressure at these points is at a maximum.

Since relativity postulates that the speed of light is the same for all observers, the Lorentz transformation must preserve the spacetime interval between any two events in Minkowski space.

Since the speed of sound increases as the temperature increases, the actual speed of an object traveling at Mach 1 will depend on the fluid temperature around it.

Since it has only a tiny fraction of its parent's radius ( and therefore its moment of inertia is sharply reduced ), a neutron star is formed with very high rotation speed, and then gradually slows down.

Since all atoms vibrate proportionally to their absolute temperature, a thermal neutron has the best opportunity to fission U-235 when it is moving at this same vibrational speed.

* Since a ship traveling at impulse velocities ( slower than, but approaching, the speed of light ) is still traveling in the normal space-time continuum, concerns of time dilation apply, so high relativistic speeds are avoided unless absolutely necessary ; impulse power is therefore customarily limited to a maximum of ¼ lightspeed.

Since each amplitude envelope contains a group of internal waves, this speed is usually called the group velocity.

Since radio waves travel at the speed of light, accurate distance measurement requires high-performance electronics.

Since a nautical mile is defined as 1, 852 meters, then dividing this distance by the speed of light ( 299, 792, 458 meters per second ), and then multiplying the result by 2 yields a result of 12. 36 microseconds in duration.

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: