For what concerns all scientific disciplines is precisely that which can be captured for the rational, i.e., for the scientific determination of what in past ages was considered ultimate and irrational.

For in a world as yet unacquainted with the horrors of the mushroom cloud, poison gas was still regarded as the ultimate in hideous weapons.

For most of human history, pearls were the ultimate precious beads of natural origin because of their rarity, although the pearl-culturing process has now made them far more common.

For example, in a unitary state, the constitution will vest ultimate authority in one central administration and legislature, and judiciary, though there is often a delegation of power or authority to local or municipal authorities.

For some, Chiang was a national hero who led the victorious Northern Expedition against the Beiyang Warlords in 1927, achieving Chinese unification, and who subsequently led China to ultimate victory against Japan in 1945.

For others still, they see the Dharma as referring to the " truth ," or the ultimate reality of " the way that things really are " ( Tib.

For the first time since 1897 there was no ultimate match — either “ challenge final ” or “ grand final ” — to determine the premiers.

For a given energy in a given volume, there is an upper limit to the density of information ( the Bekenstein bound ) about the whereabouts of all the particles which compose matter in that volume, suggesting that matter itself cannot be subdivided infinitely many times and there must be an ultimate level of fundamental particles.

Newton sought to remove the use of infinitesimals from his fluxional calculus, preferring to talk of velocities as in " For by the ultimate velocity is meant ... the ultimate ratio of evanescent quantities ".

For example, in Europe, the European Court of Justice has been given jurisdiction as the ultimate appellate court to the member states on issues of European law.

For Nichiren, the Gohonzon embodies the eternal and intrinsic Law of Nam-Myoho-Renge-Kyo, which he identified as the ultimate Law permeating life and the universe.

For these reasons, some readers find Marianne's ultimate marriage to Colonel Brandon an unsatisfactory ending.

For many native populations, the elimination of French power in North America meant the disappearance of a strong ally and counterweight to British expansion, leading to their ultimate dispossession.

For example, a population growing in a limited environment can approach the ultimate carrying capacity of that environment in several possible ways.

For inshore work the transom was widened, freeboard was lowered and more rocker introduced into the bottom making an exceptionally easy-to-row boat that was more stable ( initial stability not ultimate stability ) than their offshore cousins.

For example, earrings discovered in Silla and Kaya tombs are very similar to Japanese earrings dated to the Kofun period, " The ultimate source of such elaborate techniques as granulation is probably the Greek and Etruscan goldsmiths of western Asia and Europe, whose skills were transmitted to northern China and later to Korea.

For ultimate freedom from suffering, the Noble Eightfold Path leads its practitioner to Nirvana, a state of everlasting peace.

For some writers of the time this state of affairs had been ordained to serve the higher purpose of effecting a " preliminary cleansing " that would purge and purify humanity in preparation for an ultimate, messianic renewal.

For bare conductors, the ultimate limit is the point at which power lost to resistance causes the conductor to melt.

For the soldiers of I Corps's 3rd Infantry Division who stormed ashore on Sword beach on 6 June 1944, the city of Caen some inland was the ultimate goal.

For ductile materials ( e. g. most metals ), it is often required that the factor of safety be checked against both yield and ultimate strengths.

For example, the ultimate tensile strength ( UTS ) of AISI 1018 Steel is 440 MN / m².

For example, Henry van de Velde built a house for his own family at Uccle near Brussels in 1895 in which he demonstrated the ultimate synthesis of all the arts, for apart from integrating the house with all its furnishings, including the cutlery, he even attempted to consummate the whole Gesamtkunstwerk through the flowing forms of the dresses that he designed for his wife.

For example, the IBM System / 370 used a CPU that was primarily 32 bit, but it used 128-bit precision inside its floating point units to facilitate greater accuracy and range in floating point numbers.

For example, the accuracy of laser rangefinding measurements is based on the scientific understanding of lasers, while satellite pictures and meter sticks rely on different phenomena.

For the quantitative analysis, ten articles were selected at random – circumcision, Charles Drew, Galileo, Philip Glass, heart disease, IQ, panda bear, sexual harassment, Shroud of Turin and Uzbekistan – and letter grades of A – D or F were awarded in four categories: coverage, accuracy, clarity, and recency.

In summary, " For a writer whose early novels set in Scotland were prized for their historical accuracy, Scott was remarkably loose with the facts when he wrote Ivanhoe ...

For ideal positional accuracy, it is desirable to operate on a navigational grid where the grid lines are closer to right angles ( orthogonal ) to each other.

Professor of classics at Auckland University, E. M. Blaiklock, wrote: " For accuracy of detail, and for evocation of atmosphere, Luke stands, in fact, with Thucydides.

For thousands of years, mathematicians have attempted to extend their understanding of, sometimes by computing its value to a high degree of accuracy.

For example, the student accuracy standards help ensure that student evaluations will provide sound, accurate, and credible information about student learning and performance.

With finite samples, approximation results measure how close a limiting distribution approaches the statistic's sample distribution: For example, with 10, 000 independent samples the normal distribution approximates ( to two digits of accuracy ) the distribution of the sample mean for many population distributions, by the Berry – Esseen theorem.

For example, one cannot express confidence in Michael's accuracy by asserting the endless sentence:

For accuracy, it is important to simulate the mean wind speed profile and turbulence effects within the atmospheric boundary layer.

For this reason, atomic oscillators are used for applications requiring better long-term stability and accuracy.

For example, if an experiment contains a systematic error, then increasing the sample size generally increases precision but does not improve accuracy.

For example, in the IEEE 754-2008 standard it means the number of bits in the significand, so it is used as a measure for the relative accuracy with which an arbitrary number can be represented.

For micrometers this is their typical accuracy range. Micrometers typically have a specified temperature at which the measurement is correct ( often 20 ° C, which is generally considered " room temperature " in a room with HVAC ).

For example, in 1952 Hans Hartelius conducted and published an animal study on cats entitled Cerebral Changes Following Electrically Induced Convulsions in which a double-blind microscopic pathology examination showed that it was possible to distinguish the 8 shocked animals from the 8 non-shocked animals with remarkable accuracy based on statistically significant structural changes to the brain, including vessel wall changes, gliosis, and nerve cell changes.

For example, a gage with 3 % manufacturer-stated accuracy can be changed to 4 % so that a 1 % accuracy standard can be used at 4: 1.

For example, if word context ( basically a lexicon of words ) is not used to correct software finding non-existent words, a character error rate of 1 % ( 99 % accuracy ) may result in an error rate of 5 % ( 95 % accuracy ) or worse if the measurement is based on whether each whole word was recognized with no incorrect letters.

For the Masoretic Text, such statistical information more importantly also ensured accuracy in the transmission of the text with the production of subsequent copies that were done by hand.

For optimal accuracy, the color difference between the two species should be as clear as possible, and the narrower the pH range of the color change the better.

For instance, the Fizeau – Foucault apparatus could measure the speed of light to perhaps 5 % accuracy, which was totally inadequate for measuring the direct, first order 0. 01 % change in the speed of light.