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 treating the star as an idealized energy radiator known as a black body, the luminosity L and radius R can be related to the effective temperature by the Stefan – Boltzmann law:

By the late 20th century, laudanum's use was almost exclusively confined to treating severe diarrhea.

By treating blue ultramarine with silver nitrate solution, " silver-ultramarine " is obtained as a yellow powder.

By treating wheat seeds with moisture as well as cold, Lysenko induced them to bear a crop when planted in spring.

By treating the fingerprint with gold nanoparticles with attached cotinine antibodies, and then subsequently with a fluorescent agent attached to cotinine antibodies, the fingerprint of a smoker becomes fluorescent ; non-smokers ' fingerprints stay dark.

By treating the sounds with echo and filtering they used the drum machine to record rhythm tracks for their second album.

By treating the Sun and planets as point masses and using Newton's law of universal gravitation, equations of motion were derived that could be solved by various means to compute predictions of planetary orbital velocities and positions.

By the mid-19th century in England, the Alleged Lunatics ' Friend Society was proclaiming the moral treatment approach was achieved " by mildness and coaxing, and by solitary confinement ", treating people like children without rights to make their own decisions.

" By treating shyness as an individual pathology, ... we forget that this is also a socially oriented state of mind that is socially produced and managed.

By treating the pulverized roots with alcohol, colorin was produced.

By treating the recording of multiple entries as an atomic transactional unit of work the system maintains the integrity of the data recorded.

By treating these conditions as axioms for a class of simplicial complexes, Tits arrived at his first definition of a building.

By 1965, the surgical anatomy was thoroughly and widely understood, antibiotics were widely available and useful for treating postoperative infections, and other major complications had also become more manageable.

By the start of the Twentieth century the hospital had developed into an Infectious Diseases Hospital, treating all infections, not just cholera.

By 1990, the organisation was treating 750 clients and then moved to a building in Grafton Road, Kentish Town.

By false analogy, treating the di-in diabolo as meaning " two ", polyaboloes with from 1 to 10 cells are called respectively monaboloes, diaboloes, triaboloes, tetraboloes, pentaboloes, hexaboloes, heptaboloes, octaboloes, enneaboloes, and decaboloes.

By far, the most commonly used commercial process for treating acid mine drainage is lime precipitation in a high-density sludge ( HDS ) process.

By treating the study of antiquity as completely irrelevant to civic life and by suggesting that in any case only a tiny elite could study the ancient world with adequate rigor, Poliziano departed from the tradition of classical studies in Florence.

UPI wire service story .</ ref > This account was supported by the treating physicians who had first blamed the skull fracture on a beating ; by the latter part of December, they concluded that Rodgers had in fact fallen and that had caused his injuries .< ref >" New Disclosure Hints Rodgers Hurt By Fall ," < i > The Modesto Bee </ i >, December 20, 1967, p. C-9.

By effectively treating depression, patients experience a greater recovery of basic ADLs such as dressing, eating and ambulating, as well as instrumental ADLs, such as the ability to take care of financial and household matters.

By treating these elements redundantly and formally, dance becomes an effective organizer of joint motor activity.

By treating Euler's problem as a Liouville dynamical system, the exact solution can be expressed in terms of elliptic integrals.

By treating emissions as a market commodity some proponents insist it becomes easier for businesses to understand and manage their activities, while economists and traders can attempt to predict future pricing using market theories.

By clarifying fundamental premises in the social sciences, and defining the logical problems emergent at the borderlands of each new scientific discipline, philosophy can offer the sort of distinction that can accelerate growth in human understanding.

By this same combination of the will and the imagination, each one of us can learn to portray permanently the kind of character we would like to be.

By using instruments of gradually increasing size, the vagina is gently, and with minimum pain at each stage, taught to yield to an object of the appropriate shape.

By having three stations, a total of three different cars can be operated on at the same time, each one at a different stage of its assembly.

By the 1920s, each state in the United States had passed public laws that stipulated a certain day to be Arbor Day or Arbor and Bird Day observance.

By patiently transcribing each word of the text, the writer was made to contemplate the meaning of it.

* By whether the same key is used for both encryption and decryption ( symmetric key algorithms ), or if a different key is used for each ( asymmetric key algorithms ).

By this method each bull can serve very many cows, so only a very few of the purebred dairy male calves are needed to provide bulls for breeding.

By giving each channel a different frequency " slot " on the cable the separate television signals do not interfere.

By exposing an azeotrope to a vacuum or positive pressure, it's possible to bias the boiling point of one component away from the other by exploiting the differing vapour pressure curves of each ; the curves may overlap at the azeotropic point, but are unlikely to be remain identical further along the pressure axis either side of the azeotropic point.

* By adding bits to each encoded unit, the redundancy allows both to detect errors in coded data and to correct them based on mathematical algorithms.

* By adding bits to each encoded unit, the redundancy allows both to detect errors in coded data and to correct them based on mathematical algorithms.

By externalizing such functionality to the DBMS, applications effectively share code with each other and are relieved of much internal complexity.

By contrast, a dynamic web page is a broader concept, covering any web page generated differently for each user, load occurrence, or specific variable values.

By construction, each point on the curve shows productive efficiency in maximizing output for given total inputs.

By the mid — 18th century the French chemist Charles François de Cisternay du Fay had discovered two types of static electricity, and that like charges repel each other whilst unlike charges attract.

By reversing the steps in the Euclidean algorithm, the GCD can be expressed as a sum of the two original numbers each multiplied by a positive or negative integer, e. g., 21 = × 105 + × 252.

By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.

By 1927 readers, often young adults, would write to each other, bypassing the magazine.

By inspection, each of the small natural numbers 1, 2, 3, 4, ... is the product of primes.

By the 1st century BCE, noxii were being condemned to the beasts ( damnati ad bestias ) in the arena, with almost no chance of survival, or were made to kill each other.

By 2006, such was the confusion from these multiple Acts, each amending the others ( and not all of which were ever actually commenced and thus were in the public record but not enforced as actual legislation ); and the amendments of Irish firearms legislation by other Acts ranging from the Wildlife Acts ( mostly relating to hunting law ) to the Road Traffic Acts ( relating to how and where firearms could be transported ) and others ; the large amount of secondary legislation ( Statutory Instruments, which set out regulations, the design of application forms for licences and so forth, as well as the details of when various parts of the Acts came into force ); as well as the introduction of EU firearms law into the canon of Irish legislation ; led the Irish Law Reform Commission to recommend that all the extant legislation be restated a legal process by which all the existing primary and secondary legislation would be read as one and a single document produced as the new Firearms Act ( and all prior Acts would be repealed ).

By sorting formulas according to the number of atoms of each element present in the formula according to these rules, with differences in earlier elements or numbers being treated as more significant than differences in any later element or number — like sorting text strings into lexicographical order — it is possible to collate chemical formulas into what is known as Hill system order.

By typing " HINT " twice the player would open up a screen of possible topics where they could then reveal one hint at a time for each puzzle, just like the books.