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 axioms 1 through 4, Gödel argued that in some possible world there exists God.

From these axioms, two easy and convenient properties follow:

From these two axioms, it follows that for every g in G, the function which maps x in X to g · x is a bijective map from X to X ( its inverse being the function which maps x to g < sup >− 1 </ sup >· x ).

From the Kolmogorov axioms, one can deduce other useful rules for calculating probabilities.

From this, and a few other axioms, Kant developed a moral system that would apply to any " praiseworthy person.

From the ZFC axioms of set theory ( including the axiom of choice ) one can show that there is a well-order of the reals.

From these axioms, one can prove that there is exactly one identity morphism for every object.

From a given set of axioms, synthesis proceeds as a carefully constructed logical argument.

From these axioms, certain general theorems follow:

From the point of view of synthetic geometry it was considered that projective geometry should be developed using such propositions as axioms.

From this Poincaré argues that if we fail to establish the consistency of Peano's axioms for natural numbers without falling into circularity, then the principle of complete induction is not provable by general logic.

From these experiments, he deduced two generalizations which later became known as Mendel's Principles of Heredity or Mendelian inheritance.

From excavated tally sticks, researchers have deduced that people counted days in relation to the Moon's phases as early as the Paleolithic age.

From this he deduced that the number of stars steadily increased toward one side of the sky, in the direction of the Milky Way core.

From this he deduced that the force of gravity was lower at Cayenne.

From Maskelyne ’ s observations Charles Hutton deduced a density for the earth 4. 5 times that of water ( the modern value is 5. 515 ).

From the state of thermodynamic equilibrium, the law deduced the principle of the increase of entropy and explains the phenomenon of irreversibility in nature.

From that it can be deduced that there was already a shortage of wood then.

From this definition, several other properties can be deduced.

From these two constants, the elementary charge can be deduced:

From this observation, he deduced that the darker regions are flat, low-lying areas, while the brighter regions are rough and covered with mountains.

From this, he deduced that the nebulae, and the Milky Way itself, were collections of stars too small and far away to be resolved into individual stars by the naked eye.

From the fact that they changed their relative positions from night to night, but always appeared in the same straight line near Jupiter, he deduced that they were four bodies in orbit around Jupiter.

From these various and dispersed cultures a set of common ideas may be reconstructed from which a common, unattested proto-Indo-Iranian source may be deduced.

) From these hints, a list of Kempe's parts has been deduced which, if conjectural, is not improbable: Costard in Love's Labours Lost, Bottom in A Midsummer Night's Dream, Lancelot Gobbo in The Merchant of Venice, and Cob in Ben Jonson's Every Man in His Humour.

From a fresh discussion of the transits of Venus in 1761 and 1769 he deduced a solar parallax of 8. 57 arcsecond.

From the previous equation, it can be deduced that the observed image depends not only on the amplitude of beam, but also on the phase of the electrons, although phase effects may often be ignored at lower magnifications.

From this axiom, all knowledge of consciousness could be deduced.

From these are deduced correspondences between human form and character.

From this scanty evidence, little can be deduced about the singular characteristics of Cumbric, not even the name by which its speakers referred to it.

From the doctrine of man's likeness to God, Hillel deduced man's duty to care for his own body.

From the information provided in the liner notes of the original release Slippery When Ill it can be deduced that the performers on the first eight tracks of Country Tunes are Dave Quackenbush on vocals, Jan Nils Ackermann on guitar, Robbie Allen on bass, and Joe Escalante on drums.

From NMR, sp hybridization can be deduced, normally reserved for triple bonds.

From measurements using a Kater's pendulum of the force of gravity at the sea level and at the summit of Mount Fuji, Mendenhall deduced a value for the mass of the Earth that agreed closely with that which Francis Baily had obtained in England by another method.

From their data, Anderson's team deduced a steady frequency drift of 1. 5 Hz over 8 years.

From this, it can be deduced Jones perceives the human race much as Smith does, though with less unbridled revulsion.