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 these hypotheses, it is also possible to prove that there is only one God in each world by Leibniz's law, the identity of indiscernibles: two or more objects are identical ( are one and the same ) if they have all their properties in common, and so, there would only be one object in each world that possesses property G. Gödel did not attempt to do so however, as he purposely limited his proof to the issue of existence, rather than uniqueness.

From an article by Askanas and Engel: " Two hypotheses predominate regarding the key pathogenic mechanisms involved in s-IBM: an amyloid-beta-related degenerative process and an immune dysregulation.

From this data phylogenetic trees can be constructed and evolutionary hypotheses developed using special software like ClustalW regarding the ancestry of modern organisms and the genes they express.

From the incorrect translation into the term " canals ", various assumptions were made about life on Mars ; as these assumptions were popularized, the " canals " of Mars became famous, giving rise to waves of hypotheses, speculation, and folklore about the possibility of intelligent life on Mars, the Martians.

By virtue of these interpretive connections, the network can function as a scientific theory: From certain observational data, we may ascend, via an interpretive string, to some point in the theoretical network, thence proceed, via definitions and hypotheses, to other points, from which another interpretive string permits a descent to the plane of observation.

From the above hypotheses we have, taking the limit inferior and superior:

From the data new hypotheses are formulated about feedbacks between these molecules.

From these findings Buss was able to make evolutionary psychological hypotheses for why these differences exist.

From there the troubleshooter forms hypotheses on potential causes, and devises ( or perhaps references a standardized checklist of ) tests to eliminate these prospective causes.

From Aeschylus ' Agamemnon, it appears that she has made a promise to Apollo to become his consort, but broke it, thus incurring his wrath: though she has retained the power of foresight, no one will believe her predictions.

From the 1970s, there has been much emphasis on the application of large scale computers to oceanography to allow numerical predictions of ocean conditions and as a part of overall environmental change prediction.

From a scientific point of view, theories are judged on many criteria, such as falsifiability, Occam's Razor, and explanatory power, as well as the degree to which their predictions match experimental results.

From its spontaneous selection of a given rune, predictions and conclusions were made from the matched rune itself and the path that the ring would take in selecting it.

From this perspective, what is objective is what can be measured, transfers to other contexts, and can be used to make predictions.

From that time, through fresh sanguine predictions for improvements in the business climate and the Reading's overall performance, which allowed him to borrow more funds on a less grand scale and to get the McCalmonts to defer interest payments due ; and maneuverings such as periodically paying workers in scrip — essentially promissory notes — instead of cash, Franklin Gowen continued to run the Reading.

From this point forward, ever more activities revolved around these predictions.