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From these dosage isopleths it can be seen that an area of over 34,000 square miles was covered.
From these results, one sees that the study of linear operators on vector spaces over an algebraically closed field is essentially reduced to the study of nilpotent operators.
From here they proceeded to ( 3 ) These same areas in relation to their own future family life stages, developing these to the extent of examining various crises which could be expected to confront them at some time or other.
From Fig. 6 the relationship between these parameters can readily be derived and the cutting force is Af where **yl is the shear strength of the coating and is a parameter of the coatings material, W is the width of the removed coating and T is its thickness.
From the outset, these were not intended to displace the autonomy of the emerging provinces of the Communion, but to " discuss matters of practical interest, and pronounce what we deem expedient in resolutions which may serve as safe guides to future action.
From this arrangement these lines of single cells came to be known as Laurae, Laurai, " streets " or " lanes ".
From a modern perspective these figures may seem small, but in the world of Greek city-states Athens was huge: most of the thousand or so Greek cities could only muster 1000 – 1500 adult male citizens and Corinth, a major power, had at most 15, 000 but in some very seldom cases more.
From these ports to major populations centres and markets in Europe or Asia is several thousands of kilometers.
From the late 1940s to the early 1960s, following the creation of the state of Israel, most of these Jews fled their countries of birth and are now mostly concentrated in Israel.
From these studies arose the concept of using aerial applications of herbicides to destroy enemy crops to disrupt their food supply.
From these postulates stems the belief that God periodically reveals his will through divine messengers, whose purpose is to transform the character of humankind and develop, within those who respond, moral and spiritual qualities.
From New York City these agricultural products could easily be shipped to other U. S. states or to Europe, etc.
From all the Empire, war prisoners and deported people were sent to the city: these people were called " Sürgün " in Turkish ().
From these axioms, it can be proved that there is exactly one identity morphism for every object.
From these four, a multitude of equations, relating the thermodynamic properties of the thermodynamic system can be derived using relatively simple mathematics.
From inside out these are:
From west to east these are: Chania, Rethymno, Heraklion and Lasithi.
" From these principles and some additional constraints —( 1a ) a lower bound on the linear dimensions of any of the parts, ( 1b ) an upper bound on speed of propagation ( the velocity of light ), ( 2 ) discrete progress of the machine, and ( 3 ) deterministic behavior — he produces a theorem that " What can be calculated by a device satisfying principles I – IV is computable.
From a geometrical point of view, looking at the states of each variable of the system to be controlled, every " bad " state of these variables must be controllable and observable to ensure a good behaviour in the closed-loop system.
From the view of the citizens, these vicars were cruel and petty.
From these beginnings rose the various classical styles which are recognised today.
From north to south, these three counties are New Castle, Kent, and Sussex.
From 1960 these were replaced with Stainless Steel ID Tags on a Green Nylon Cord, 2 circular & 1 Oval, the Oval was withdrawn around 1990
Referring to the resolution, Lumumba wrote to UN Secretary General Dag Hammarskjöld,From these texts it is clear that, contrary to your personal interpretation, the UN force may be used to subdue the rebel government of Katanga .’ Secretary General Hammarskjöld refused.
From the perspective of the developing world, the benefits of forest as carbon sinks or biodiversity reserves go primarily to richer developed nations and there is insufficient compensation for these services.

From and equations
From a mathematical viewpoint, continuous-time IIR LTI filters may be described in terms of linear differential equations, and their impulse responses considered as Green's functions of the equation.
From the above equations, it can be shown that the spin singlet can also be written as
From the above stated equations it can be expressed as follows:
From his methods on solving the Riemann problem had developed the theory of singular integral equations ( MSC ( 2000 ) 45-Exx ) which was entertained above all by the Russian school at the head of Nikoloz Muskhelishvili ( Николай Иванович Мусхелищвили ) ( 1891 – 1976 ).
From these basic equations the necessary loading coil inductance and coil spacing can be found ;
From its solutions to the Einstein equations, he predicts the distance-redshift relation.
From the above equations, resistivity has SI units of ohm ⋅ metre.
From the equations above, it can be seen that this actually changes the rate of frequency increase of a linear chirp ( multiplied by a constant ) so that the correlation of the original function with the reflected function is low.
From the equations for and above we see that in the case of a large, the value of is small if the masses are approximately the same: hitting a much lighter particle does not change the velocity much, hitting a much heavier particle causes the fast particle to bounce back with high speed.
# From the last two equations,.
From his experimental work with Hodgkin, Huxley developed a set of differential equations that provided a mathematical explanation for nerve impulses — the " action potential ".
From the above stoichiometric equations, we can find that:
From the previous two equations, and with the appropriate boundary conditions, for a far-field uniform-flow velocity V in the z – direction and a sphere of radius R, the solution is found to be
From the principle of stationary action, the Yang – Mills equations follow.
From this point onwards there was a foundational theory, which could be applied to analytic geometry ( a name adopted, confusingly, for the geometry of zeroes of analytic functions — this is not the analytic geometry learned at school ), automorphic forms of several variables, and partial differential equations.
From 1944 he worked on differential equations.
From the original equations as given above in vector and conservation form, the equations are written in a non-conservation form as:
From Maxwell's equations, it is clear that is not always zero, and hence the scalar potential alone is insufficient to define the electric field exactly.
From the governing equations, the instantaneous power into the gyrator is identically zero.
From this principle, all equations of motion in classical mechanics can be derived.
From the above equations and by deploying basic calculus it can be shown that the total width of the depletion region is
From the equations, the power series must start with at least an order of to satisfy the real part of the equation ; for a good classical limit starting with the highest a power of Planck's constant possible is preferable, which leads to
From the given Lagrangian one can derive the equations of motion given by

0.502 seconds.