By comparing reaction cells sealed from the same manifold temperature dependency corresponding to activation energies ranging from 11 to 18 Af was observed while dependence on the first power of the light intensity seemed to be indicated in most cases.

By comparing the form of several yupanas, researchers found that calculations were based using the Fibonacci sequence 1, 1, 2, 3, 5 and powers of 10, 20 and 40 as place values for the different fields in the instrument.

By comparing Arithmetic and Geometric mean of numbers

By comparing the length and intensity of various methods of therapies, it was proven that intensity is a better predictor of recovery than the method of therapy used.

By comparing different embryonic stages of different vertebrate species, he formulated the Recapitulation theory.

By comparing the parts of the genome that are not under natural selection and which therefore accumulate mutations at a fairly steady rate, it is possible to reconstruct a genetic tree incorporating the entire human species since the last shared ancestor.

By comparing mitochondrial DNA which is inherited only from the mother, geneticists have concluded that the last female common ancestor whose genetic marker is found in all modern humans, the so-called mitochondrial Eve, must have lived around 200, 000 years ago.

By comparing the genome compositions between genomes, scientists can better understand the evolutionary history of a given genome.

By comparing the relative positions of the moon and Mars with their anticipated positions, Vespucci was able to crudely deduce his longitude.

Soon however, Marl's records became more sample heavy, as can be seen by comparing the MC Shan LPs Down By Law ( 1987 ) and Born to be Wild ( 1988 ); the rhythms less electronic, with drum samples and patterns becoming more prominent.

By comparing the different natural languages, scholars hope to learn something about the nature of human intelligence and the innate biases and constraints that shape natural language, which are sometimes called universal grammar.

By comparing the times of the eclipses, the difference in longitude of Paris to Uranienborg was calculated.

By comparing the photographic plates of the Pleiades cluster taken in 1918 with images taken in 1943, van Maanen was able to identify those stars that had a proper motion similar to the mean motion of the cluster, and were therefore more likely to be members.

By comparing skulls of different ethnic groups it supposedly allowed for ranking of races from least to most evolved.

By measuring the frequency of the returned signal and comparing that with the original, the difference can be easily measured.

By comparing the spectra of stars such as Sirius to the Sun, they found differences in the strength and number of their absorption lines — the dark lines in a stellar spectra due to the absorption of specific frequencies by the atmosphere.

By comparing the spectrum to computed models of stellar evolution, the age, mass, radius and luminosity of Tau Ceti can be estimated.

By monitoring vegetation changes over time, droughts can be monitored by comparing the current vegetation state to its long term average.

By instead comparing the radiated power in a given direction to the actual power that the antenna receives from the transmitter, the power gain takes into account that poorer efficiency, making it a more useful figure of merit for the ability of a transmitter in sending a radio wave toward a receiver.

By expanding the left hand side and then comparing the real and imaginary parts under the assumption that x is real, it is possible to derive useful expressions for cos ( nx ) and sin ( nx ) in terms of cos x and sin x.

By comparing the arrival times of gamma showers with the separations of the spacecraft, a location can be determined, for follow-up with other telescopes.

By comparing this with the account of stupteria given by Dioscorides in the 123rd chapter of his 5th book, it is obvious that the two are identical.

* 1862 – By analysing the spectroscopic signature of the Sun and comparing it to those of other stars, Father Angelo Secchi determines that the Sun is itself a star.

By counting numbers of live and dead mites that developed every 15 days and comparing this with his initial count on the infant, he was able to estimate how long that infant was dead.

By writing as a Laurent series and explicitly comparing terms, one may verify that it satisfies the relation

By preserving the value, only one division operation is needed and the higher-order statistics can thus be calculated for little incremental cost.

By 1912, 16 % of peasants ( up from 11 % in 1903 ) had relatively large endowments of over per male family member ( a threshold used in statistics to distinguish between middle-class and prosperous farmers, i. e., kulaks ).

By the end of August 2006, statistics from the Ministry of Information Industry showed that there were more than 437 million mobile phone users in the Chinese mainland, or 327 mobile phones per 1, 000 population.

By 2010, the residential population had increased to 24, 400 residents with crime statistics showing no murders in 2010.

By comparison, prediction in frequentist statistics often involves finding an optimum point estimate of the parameter ( s ) — e. g. by maximum likelihood or maximum a posteriori estimation ( MAP ) — and then plugging this estimate into the formula for the distribution of a data point.

By the 1960s, the South West Region ( including Dorset, which for some previous purposes had been included in a Southern region ), was widely recognised for government administration and statistics.

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 1954, that had declined to, and by 1964, the last year production statistics were gathered, only were grown.

By measuring and analyzing network data using triangulation, pattern matching or cell-sector statistics ( in an anonymous format ), the data was converted into traffic flow information.

By 2000, 65 % of the county labor force was employed as white-collar workers with an increase of 20 points in comparison with 1990 statistics.

By October 2005 these figures had risen to 750 arrested with 22 convictions ; the then current Home Secretary, Charles Clarke, said " the statistics illustrate the difficulty of getting evidence to bring prosecution ".

By a process similar to that outlined in the Maxwell-Boltzmann statistics article, it can be seen that:

By 1866, eight years after the death of John Snow, William Farr publicly acknowledged that the miasma theory on the transmission of cholera was wrong, by his statistics ' justification on the death rate.

By this time he had become fascinated by medical statistics, a subject which he called " hygology " ( derived from " hygiene ").

By plugging these expected runs scored and allowed into the pythagorean formula, one can generate second-order wins, the number of wins a team deserves based on the number of runs they should have scored and allowed given their component offensive and defensive statistics.

By the classical genetics approach, a researcher would then locate ( map ) the gene on its chromosome by crossbreeding with individuals that carry other unusual traits and collecting statistics on how frequently the two traits are inherited together.

By carefully examining suicide statistics in different police districts, he attempted to demonstrate that Catholic communities have a lower suicide rate than that of Protestants, something he attributed to social ( as opposed to individual or psychological ) causes.

By the end of 1980, the number of TSS cases reported to the CDC began to decline, however there is some argument as to whether statistics provided by CDC are reliable due to problems with recognition of TSS symptoms by medical staff and the way in which CDC records TSS cases, many estimate that only around a third of all TSS cases reported to the CDC were included in statistics.

By a close break-down of statistics, based his analysis on average of 14 pitches per inning after six innings, Matus showed that the contrary was the case, and concluded :-

By analysing the statistics of visitors it is possible to see shortcomings of the site and look to improve those areas.

By contrast, the main characters of Breath of Fire II occasionally swap their palette colors to indicate an increase in their respective statistics.

By entering the URL of a news feed, users and non-users can check statistics about rating in that news feed.

By using the formalism of second quantization they showed that the magnons behave as weakly interacting quasiparticles obeying the Bose-Einstein statistics ( the bosons ).