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 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 solutions yield good rational approximations of the form x / y to the square root of n. In Cartesian coordinates, the equation has the form of a hyperbola ; it can be seen that solutions occur where the curve has integral ( x, y ) coordinates.

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 are just another couple of characters to roll.

These men are not callous.

These things are important to almost all Persians and perhaps most important to the most ordinary.

These are traversed by another line of vaults, and thus rooms, arched on all four sides, are formed.

These songs ( practically all Persian music, for that matter ) are limited to a range of two octaves.

These are not, however, differences in federal structure.

These my grandmother left in their places ( they are still there, more persistent and longer-lived than the generations of man ) and planted others like them, that flourished without careful tending.

These are like the initial ways in which the world forces itself upon the self and thrusts the self into decision and choice.

These are suggestive of Selma Lagerlof.

These assumptions lead to an organization with one man at the top, six directly under him, six under each of these, and so on until there are six levels of personnel.

These ways are absolutely irreconcilable because they offer two different recipes for man's redemption from chaos.

These responses are explicable in terms of characteristics inherent in the crisis.

These discoveries are of present interest chiefly to the scientific community ; ;

These are personality factors ; ;

These are, if the research is done with subtlety and skill, researchable topics, but the research is missing.

These moments are historical events in the lives of individual authors with which the student of comparative literature must be frequently concerned.

These lives are in themselves outside of the moral order and are unburdened with moral responsibility.

These conceptions and the manner in which they were transposed into poetry or engendered by poetic form are intrinsic to western life from the time of Aeschylus to that of Shakespeare.

These biographical analogies are obvious, and far too much time has been spent speculating on their possible implications.

These women whose organization grew out of the old suffrage movement are dedicated to Thomas Jefferson's dictum that one must cherish the people's spirit but `` Keep alive their attention ''.

These are, of course, the same people whose support he has only now rejected to seek the independent vote.

These are New York, Pennsylvania, Michigan, Maryland, Missouri, New Jersey, Illinois and Minnesota.

These men are spenders.