These cells were thawed at 37-degrees-C for 30 min and were deglycerolized by alternately centrifuging and mixing with descending concentrations of glycerol solutions ( 20, 18, 10, 8, 4 and 2% ).

These solutions have so-called naked singularities that can be observed from the outside, and hence are deemed unphysical.

These linear combinations are also known as Bessel functions of the third kind ; they are two linearly independent solutions of Bessel's differential equation.

These theories of integrative function present solutions to two classic problems associated with consciousness: differentiation and unity.

These solutions are sometimes restricted by the cost of the base station but may be economical where the concentration of users is high.

These solutions brought security and economic prosperity to Israel for a time, but did not bring peace with the Israelite prophets, who were interested in a strict deuteronomic interpretation of Mosaic law.

These solutions are often ideally suited for users who only very occasionally need to use fax services.

These two researchers developed several formulas for mineral nutrient solutions, known as Hoagland solution.

These types of integrals seem first to have attracted Laplace's attention in 1782 where he was following in the spirit of Euler in using the integrals themselves as solutions of equations.

These are essentially the solutions of the Dirac Equation which describes the behavior of the electron's probability amplitude and the Klein-Gordon equation which describes the behavior of the photon's probability amplitude.

These can be seen as tradeoffs between multiple design goals, and hence applications that use different solutions may be suitable for different purposes.

These methods allow the construction of solutions based on the conditions stipulated by Zeno, i. e. the amount of time taken at each step is geometrically decreasing.

These solutions are the new industry standard as no additional development or hardware expenditure is required to make them work.

These waves are solutions for a scalar wave equation in a homogeneous medium.

These are wave equations which have plane waves with equal propagation speed in the forward and reverse directions as solutions.

These boundary conditions eliminate an infinite number of solutions to the wave equation, and the ones that remain are the possible solutions to the wave equation inside the waveguide.

These solutions have their own difficulties, in that the text appears to have a meaning separate from the other agents: what if the monkey operates before Shakespeare is born, or if Shakespeare is never born, or if no one ever finds the monkey's typescript?

These social reforms began in Britain the creation of a welfare state and fulfilled the aim of dampening down the demands of the growing working class for rather more radical solutions to their impoverishment.

These last four attempts assumed implicitly Girard's assertion ; to be more precise, the existence of solutions was assumed and all that remained to be proved was that their form was a + bi for some real numbers a and b. In modern terms, Euler, de Foncenex, Lagrange, and Laplace were assuming the existence of a splitting field of the polynomial p ( z ).

These two examples illustrate that general solutions of ordinary differential equations ( ODEs ) involve arbitrary constants, but solutions of PDEs involve arbitrary functions.

These standards allow portal developers, administrators and consumers to integrate standards-based portals and portlets across a variety of vendor solutions.

These estimates indicated that the quantum yield for the exchange of chlorine with liquid carbon tetrachloride at 65-degrees is of the order of magnitude of unity.

These localities continue to yield new organisms faster than they can be studied.

These cattle have a muscle yield of about 20 % more on average than cattle without the genetic myostatin mutation.

( These two identities are often combined, e. g. added or subtracted, to yield various other relations.

These methods yield only probabilities.

These investigations and results of Whipple's gave Minot and Murphy the idea that an experiment could be made to see whether favorable results might also be obtained in the case of pernicious anemia ... by making use of the foods of the kind that Whipple had found to yield favorable results in his experiments regarding anemia from loss of blood.

These estimates are important for engineers and economists so that proper risk analysis can be performed to influence investment decisions in future infrastructure and to determine the yield reliability characteristics of water supply systems.

These assumptions, the cornerstones of the Bohr model, were not fully correct but did yield the correct energy answers.

These improvements yield a rough doubling in ALU performance over the 386 at the same clock rate.

These higher-order averages are more difficult to measure, but can yield additional information about molecular ordering.

These ATP yields are theoretical maximum values ; in practice, some protons leak across the membrane, lowering the yield of ATP.

These clones yield more than 2, 000 kilograms of dry rubber per hectare per year, when grown under ideal conditions and ideal field.

These volatile chemicals yield important performance characteristics, primarily density reduction, cushioning / energy absorption and thermal insulation.

These particles may be quickly drawn up into the stratosphere, particularly if the explosive yield exceeds 10 kt.

These hybridized glasses have a very low level of optical dispersion ; only two compiled lenses made of these substances can yield a high level of correction.

These newer agents effectively suppress the immune system in the affected area, and appear to yield better results in some populations.

These equations are parametric in d. Setting d equal to any non-zero number and substituting it into these equations will yield one solution set.

These characters were later embellished and stylized to yield the seal script, which represents the oldest form of Chinese characters still in modern use.

These changes would reduce the explosive power ( yield ) of the weapon somewhat.

These mines yield uranium ores, which are then processed to produce yellowcake, crucial to the nuclear power industry ( as well as aspirational nuclear powers ).

These operators operate on one or more relations to yield a relation.

These pegmatite mines and quarries yield more than 100 different minerals, including minerals containing Rare earth elements, beryllium, scandium, uranium, and thorium.

These references comprise the National Airspace System's method of allowing air traffic to select routes that yield efficient point to point navigation.

These insensitive papers are suitable for contact printing, and yield warm toned images by development.