By now Harmony could see that most of the adults in the train were winded and resting, or else siphoned off from the games by the challenging lure of the great cliff towering above them.

By ancient common law it might be required of all persons above the age of 12, and it was repeatedly used as a test for the disaffected.

By application of a voltage during the presence of this gas, gas ions in the vicinity of the tip undergo ionisation, with greater numbers of ions generated immediately above atoms occupying edge or planar sites.

By his advice Benedict became a hermit and for three years, unknown to men, lived in this cave above the lake.

By doing this to the formula above, we find:

By the 16th century, Cairo also had high-rise apartment buildings where the two lower floors were for commercial and storage purposes and the multiple stories above them were rented out to tenants.

By AD 400, most of the constellation never rose above the horizon for Athenians.

By contrast to the above philosophers, Immanuel Kant held that the account of the concept as an abstraction of experience is only partly correct.

By twice applying the transformation above from the stationary to the rotating frame, the absolute acceleration of the particle can be written as:

By moving the unit vectors so their tails coincide, as seen in the circle at the left of the image above, it is seen that u < sub > ρ </ sub > and u < sub > θ </ sub > form a right-angled pair with tips on the unit circle that trace back and forth on the perimeter of this circle with the same angle θ ( t ) as r ( t ).

By contrast, for higher frequency radiations at ultraviolet frequencies and above ( i. e., X-rays and gamma rays ) the damage to chemical materials and living cells by EMR is far larger than that done by simple heating, due to the ability of single photons in such high frequency EMR to damage individual molecules chemically.

By May 1949, the initial orders provided a primitive relocating assembler taking advantage of the mnemonic design described above, all in 31 words.

By January 1937 he was at Alcubierre above sea level, in the depth of winter.

By means of psychological suggestion, it created a new type of religious man, a type that placed emotion above reason and rites, and religious exaltation above knowledge.

By the 1970s, because of the advent of psychedelic art, artists became used to brighter pigments, and pigments called " bright indigo " or " brite blue-violet " that are the pigment equivalent of the electric indigo reproduced in the section above became available in artists ' pigments and colored pencils.

As for the contradiction between German rearmament and his message of peace, Ribbentrop argued to whoever would listen that the German people had been “ humiliated ” by the Versailles treaty, that Germany wanted peace above all, and German violations of Versailles were part of an effort to restore Germany's " self-respect " By the 1930s, much of British opinion had been convinced that the treaty was monstrously unfair and unjust to Germany, so as a result, many in Britain like Thomas Jones were very open to Ribbentrop ’ s message that if only Versailles could be done away with, then European peace would be secured.

By contrast, the yarn in knitted fabrics follows a meandering path ( a course ), forming symmetric loops ( also called bights ) symmetrically above and below the mean path of the yarn.

By contrast, the median income is the level at which half the population is below and half is above.

By the properties of ⊕ mentioned above, we have

By performing the calculation above in the familiar decimal system we see why 112 in octal is equal to 64 + 8 + 2

By this definition, in a normal population, half of students are expected to perform above grade level and half the students below grade level, no matter how much or how little the students have learned.

By contrast, the central and southern parts of Guangdong province experience an average January temperature of above, while the July mean is generally above.

( By comparison, the Standard Model is expected to start to break down above its cutoff at the much smaller scale of around 1000 GeV.

By construction, hypothesis testing limits the rate

By the induction hypothesis,

By the de Broglie hypothesis, we see that

By using Song state-gathered statistics, Edward A. Kracke, Sudō Yoshiyuki, and Ho Ping-ti supported the hypothesis that simply because one had a father, grandfather, or great-grandfather who had served as an official of state, it did not guarantee that one would obtain the same level of authority.

By the inductive hypothesis,

By the 18th century the problems with Augustine's idea led Johann Jakob Griesbach to put forward the Griesbach hypothesis, which was that Luke had revised Matthew and that Mark had then written a shorter gospel using material on which both Matthew and Luke agreed ( Matthew → Luke → Mark ).

By this hypothesis, creation of the fictional poetess capitalized on the period's literary fascination with the classical poet Sappho and on a publication ( 1533 ) of poems attributed to Petrarch's " Laura " ( Laura de Sade ; the poems were in fact the work of a descendant of Laura ).

By his method of observation and induction as thus explained, his philosophy will be found to be marked off very clearly, on the one hand from the deductive construction of notions of an absolute system, as represented either by Schelling or Hegel, which Cousin regards as based simply on hypothesis and abstraction, illegitimately obtained ; and on the other, from that of Kant, and in a sense, of Sir W. Hamilton, both of which in the view of Cousin are limited to psychology, and merely relative or phenomenal knowledge, and issue in scepticism so far as the great realities of ontology are concerned.

By pointing to differences in organization among other things, Ward Jones Jr. casts doubt on Baswell ’ s earlier hypothesis.

By the second half of the twentieth century, however, observations had failed to confirm this hypothesis, and an alternative hypothesis was proposed that something must instead suppress the diurnal tide.

By the inductive hypothesis R ( r − 1, s ) and R ( r, s − 1 ) exist.

By the inductive hypothesis, it contains either a K < sub > n </ sub >< sub >< sub > i </ sub ></ sub > monochromatically coloured with colour i for some 1 ≤ i ≤ ( c − 2 ) or a K < sub > R ( n </ sub >< sub >< sub > c − 1 </ sub >, n < sub > c </ sub >)</ sub >- coloured in the ' blurred colour '.

By the late 20th century the hypothesis that the Moriori were different from the Māori had fallen out of favour amongst archeologists, who believed that the Moriori were Maori who settled on the Chatham Islands in the 16th century.

Also, since λ is an eigenvalue of A, the dimension Ran ( A − λ I ), r, is strictly less than n. Let A ' denote the restriction of A to Ran ( A − λ I ), By inductive hypothesis, there exists a basis

By the end of the 19th century, there was a hypothesis that the Annals had been fabricated by 15th century Italian author Poggio Bracciolini ( 1380-1459 ).

By taking quantum physics into account, the gravastar hypothesis attempts to resolve contradictions caused by conventional black hole theories.

By that time Hodgkin and Lister had already published research on tissue samples, based on observations made with Lister's innovative microscope, in particular on the " globule hypothesis " of the time which was held in particular by Henri Milne Edwards.

By current standards, the indications seem odd but may be explained by the hypothesis that children may fail to thrive if they have chronically sore throats or severe obstructive sleep apnea ( OSA ).

By induction, the hypothesis implies that M < sup > k </ sup > T

By concluding that complex life is uncommon, the Rare Earth hypothesis is a possible solution to the Fermi paradox: " If extraterrestrial aliens are common, why aren't they obvious?

By the 1970s, Michael H. Hart's 1979 paper " Atmospheric Evolution, the Drake Equation and DNA: Sparse Life in an Infinite Universe " outlined the first evolutionary model for a habitable zone and hist pessimistic conclusions on the distribution of extraterrestrial life fuelled the Rare Earth hypothesis.

By going through hundreds or thousands of potential similarities between John and Mary, each having a low probability of being true, we may eventually find proof of virtually any hypothesis.

By hypothesis, a welfare recipient is destitute, without funds or assets.