Specifically, the associativity and commutativity determine when repeated calculation can or cannot be avoided.

Specifically, the results of this study suggest that this phenomenon occurs in a manner similar to the way that light passes through fiber optic tubes ( which do not function as effectively when kinked or sharply curved or coiled ).

Specifically, the overall success rate is higher, fewer repeat interventions and postoperative visits are needed, and treatment costs are lower after ureteroscopic treatment when compared with ESWL.

Specifically, if one freezes a right-handed wave in time, when one curls the fingers of one ’ s right hand around the helix, the thumb will point in the direction which the helix progresses given that sense of rotation.

Specifically, it was developed by the Muslim jurist and historian Al-Maqrizi ( 1364 – 1442 ) who wrote about a particular period in the Mamluk dynasty when the rulers were simultaneously increasing the supply of a lower valued ( copper ) currency and hoarding the more valued ( gold and silver ) currencies.

Specifically, when Hume ’ s Blush Tea-Scented China was imported to England from China, the British and French Admiralties made arrangements in 1810 for specimens to cross naval blockades for Josephine ’ s garden.

Specifically, when parts of a whole picture are missing, our perception fills in the visual gap.

Specifically, given two quantities, p and q, and a rational number m / n we can say that the ratio of p to q is less than, equal to, or greater than m / n when np is less than, equal to, or greater than mq respectively.

Specifically, when Cab Calloway's character named Curtis offers to " buy you boys a drink ", he takes Jake and Elwood down to the orphanage's basement, where the boiler is easily seen in the background.

" Specifically, the degree of individualized suspicion required of a search was a determination of when there is a sufficiently high probability that criminal conduct is occurring to make the intrusion on the individual's privacy interest reasonable.

Specifically, he was one of the developers of a form called " madrigal comedy " — unstaged but dramatic collections of madrigals which, when sung consecutively, told a story.

Specifically when set up in a loop with a buffering liquid between the incoming and outgoing fluid running in a circuit, and with active transport pumps on the outgoing fluid's tubes, the system is called a Countercurrent multiplier, enabling a multiplied effect of many small pumps to gradually build up a large concentration in the buffer liquid.

Specifically, the researchers found an increase in item purchase and consumption when that item decreases in value, a result consistent with those found in human economics.

Specifically, PhRMA will focus on helping to successfully implement and improve the health reform legislation passed in 2010 under President Obama with a particular emphasis on rewarding innovation. Jeffrey Kindler, the chairman of Pfizer and former chairman of PhRMA, when commenting on Castellani's move from the Business Roundtable to PhRMA, said, “ John is the gold standard, and I ’ m extremely pleased that he will lead our team.

Specifically, he presented an explicit algebraic curve, and alleged that some of its local minima are missed when one applies the methods of infinitesimal calculus.

Specifically, a photon of this wavelength is emitted when the electron of a hydrogen atom changes its excitation state from n = 3 to n = 2.

Specifically, when doing global inline substitutions, a static compilation process may need run-time checks and ensure that a virtual call would occur if the actual class of the object overrides the inlined method, and boundary condition checks on array accesses may need to be processed within loops.

Specifically, in the study of signals and systems, the eigenfunction of a system is the signal which when input into the system, produces a response with the complex constant.

Specifically, hydrogen cyanamide stimulates cell division and growth in dormant plants, causing budbreak when the plant is on the edge of breaking dormancy.

Specifically popular was a project to irrigate in Lethbridge County, but when bonds were issued to finance the project, they did not sell.

Specifically, the failure of the map to be a local homeomorphism at certain points is referred to as gimbal lock, and is demonstrated in the animation at the right – at some points ( when the axes are coplanar ) the rank of the map is 2, rather than 3, meaning that only 2 dimensions of rotations can be realized from that point by changing the angles.

Specifically, a user-optimized equilibrium is reached when no user may lower his transportation cost through unilateral action.

Specifically, when a = 1:

Specifically, French kings maintained their privilege to decide major issues and hand down judgements when administrative acts were in dispute.

Specifically, the SAG basic contract specifies: the number of hours performers may work, the frequency of meal breaks required, the minimum wages or " scale " at which performers must be compensated for their work, overtime pay, travel accommodations, wardrobe allowances, stunt pay, private dressing rooms, and adequate rest periods between performances.

Specifically, it is claimed that above the ecosystem level a landscape level exists which is generated and identifiable by high interaction intensity between ecosystems, a specific interaction frequency and, typically, a corresponding spatial scale.

Specifically their numbers are declining in some areas due to habitat fragmentation, but on a global scale tanagers are a plentiful species.

Specifically the report highlighted the flood warning system and said the scale of the damage could have been avoided if the agency had issued more advice to those living in the worst affected areas and noted " People who do not understand what they can do to protect themselves when they are warned are not protected.

Specifically, assume that follows an exponential distribution with scale or rate:

Specifically, Game Informer remarked that " the characters look like sculpted figurines wandering around a world built to scale ".

Specifically, if the vacuum energy is negative and its absolute value is substantially larger than it appears to be in the observed universe ( say, a factor of 10 larger ), holding all other variables ( e. g. matter density ) constant, that would mean that the universe is closed ; furthermore, its lifetime would be shorter than the age of our universe, possibly too short for the intelligent life to form.

Specifically, it is thought that quintessence became repulsive about 10 billion years ago ( the universe is approximately 13. 7 billion years old ).

Specifically, digital physics works through the consequences of assuming that the universe is a gigantic Turing-complete cellular automaton.

Specifically, it attempts to argue against an infinitely old, static model of the universe using reductio ad absurdum.

Specifically, the spectral energy density ( that is, the energy density per unit wavelength ) is

Specifically, individuals with PWS have short stature, are obese with abnormal body composition, have reduced fat free mass ( FFM ), have reduced lean body mass ( LBM ) and total energy expenditure, and have decreased bone density.

Specifically, after World War II urban planning largely centered around the use of municipal zoning ordinances to segregate residential from commercial and industrial development, and focused on the construction of low density single family detached houses as the preferred housing option for the growing middle class.

Specifically, if u is the density at equilibrium of some quantity such as a chemical concentration, then the net flux of u through the boundary of any smooth region V is zero, provided there is no source or sink within V:

Specifically, it is the density altitude at which flying in a clean configuration, at the best rate of climb airspeed for that altitude and with all engines operating and producing maximum continuous power, will produce a given rate of climb ( usually 100 feet per minute climb or 30 meters per minute, and 500 feet per minute climb for jet airplanes ).

Specifically, suppose that one has a current density that produces an electric field and a magnetic field, where all three are periodic functions of time with angular frequency ω, and in particular they have time-dependence.

Specifically, it can be used to test the equivalence principle, to probe dark matter, and test neutrino physics.

Specifically, the court must have both subject-matter jurisdiction over the matter of the claim and personal jurisdiction over the parties.

Specifically, it is capable of simulating the refraction of light through a transparent substance such as glass or water, diffuse interreflection between illuminated objects, the subsurface scattering of light in translucent materials, and some of the effects caused by particulate matter such as smoke or water vapor.

Specifically, mind over matter refers to controlling pain that one may or may not be experiencing, such as holding one's hand under extremely hot water and feeling no pain.

Specifically the beetles are found within the pellet of any variety of animal, surrounding carrion or other decaying dry matter, and around birds ’ and mammals ’ nests and feathers as well as aging bones.

Specifically, these functions are also used in the analysis of excitons and condensed Rydberg matter.

Specifically, any unsolicited actions of others that physically affect an individual ’ s property or person ( which may also be considered that person's property ), no matter if the result of those actions is damaging, beneficial, or neutral to the owner, are considered violent or aggressive when they are against the owner ’ s free will and interfere with his right to self-determination or the principle of self-ownership.

Specifically, it cannot be proved, whether logically or empirically, that the total output value is equivalent to total output production prices, or, for that matter, that total profit equals total surplus-value.