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.

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 studying these images, they can detect solar system objects by their movements relative to the background stars, which remain fixed.

By the age of 64 after forty years imprisonment ` Abdu ’ l-Bahá was freed by the Young Turks and he and his family began to live in relative safety.

By the end of the 1780s, changes in performance practice, the relative standing of instrumental and vocal music, technical demands on musicians, and stylistic unity had become established in the composers who imitated Mozart and Haydn.

By 1982, the perceived passivity of the FARC, together with the relative success of the government's efforts against the M-19 and ELN, enabled the administration of the Liberal Party's Julio César Turbay ( 1978 – 1982 ) to lift a state-of-siege decree that had been in effect, on and off, for most of the previous 30 years.

By treating the extra acceleration terms due to the rotation of the frame as if they were forces, subtracting them from the physical forces, it's possible to treat the second time derivative of position ( relative to the rotating frame ) as absolute acceleration.

By taking both in-role and extra-role performance into account, industrial – organizational psychologists are able to assess employees ' effectiveness ( how well they do what they were hired to do ), efficiency ( their relative outputs to relative inputs ), and their productivity ( how much they help the organization reach its goals ).

By ordering the solids correctly — octahedron, icosahedron, dodecahedron, tetrahedron, cube — Kepler found that the spheres could be placed at intervals corresponding ( within the accuracy limits of available astronomical observations ) to the relative sizes of each planet ’ s path, assuming the planets circle the Sun.

By the mid-1980s, Zambia had one of the highest debts of any nation on the globe, relative to its gross domestic product ( GDP ).

By generating the most conservative instruction ( usually the largest relative or absolute variant, depending on platform ) and adding relaxation hints, it is possible to substitute shorter or more efficient instructions during the final link.

By the 1980s, financiers grew increasingly confident in the musical genre, partly buoyed by the relative health of the musical on Broadway and London's West End.

By the one-seed theory, the germ of every embryo is contained entirely in the male seed, and the role of the mother is simply as an incubator and provider of food: on this view only a patrilineal relative is genetically related.

By measuring the decay products of extinct radionuclides with a mass spectrometer and using isochronplots, it is possible to determine relative ages of different events in the early history of the solar system.

By contrast, when lower-class people attempt to pass themselves off as upper-class, they are able to do so with relative ease ( The Lady Eve, My Man Godfrey ).

By changing the rigging, rudder, and sometimes the keel or centre board, a sailor manages the force of the wind on the sails in order to move the vessel relative to its surrounding medium ( typically water, but also land and ice ) and change its direction and speed.

By comparison, in a general topological space, given sets A, B it is meaningful to say that a point x is arbitrarily close to A ( i. e., in the closure of A ), or perhaps that A is a smaller neighborhood of x than B, but notions of closeness of points and relative closeness are not described well by topological structure alone.

By the mid-1980s Zambia was one of the most indebted nations in the world, relative to its gross domestic product ( GDP ).

By the end of the 18th century, many of the nobility had declined in their economic power relative to the newly prosperous middle class.

By varying the gun ’ s angle of elevation with respect to the target vacuum chamber, impact angles from 0 ° to 90 ° relative to the gravitational vector are possible.

By 1803, he had observed changes in the relative positions in a number of double stars over the course of 25 years, and concluded that they must be binary systems ; the first orbit of a binary star, however, was not computed until 1827, when Félix Savary computed the orbit of Xi Ursae Majoris.

By the time independence was achieved, the country was enjoying economic growth and relative domestic peace.

By tilting the axis of the Orbital relative to its orbit around a star a convenient day-night cycle can be experienced by the inhabitants.

By analysing the return speed of light in different directions at various different times, it was thought to be possible to measure the motion of the Earth relative to the aether.

By the 1980 census, Coachella's population had reached at least 10, 000 due to relative slow population growth.