According to Cauchy's functional equation theorem, the logarithm is the only continuous transformation that transforms real multiplication to addition.

According to Avogadro ’ s law this volume is same for all ideal gases and if we consider ‘ n ’ moles of an ideal gas at STP, then the equation becomes

According to the Heisenberg equation, this means that the value of P is a constant of motion.

According to the Tsiolkovsky equation this results in proportionally higher final velocity of propelled craft.

According to the following equation, derived from Ohm's Law, the value of the resistance ( R ) is given by:

According to the Richardson-Dushman equation

According to the guiding equation, this means that the electron is at rest when in this state.

According to Starling's equation, the movement of fluid depends on six variables:

According to the Tsiolkovsky rocket equation, a rocket with higher exhaust velocity needs less propellant mass to achieve a given change of speed.

According to the Copenhagen interpretation of quantum mechanics, quantum evolution is governed by the Schrödinger equation, which is time-symmetric, and by wave function collapse, which is time irreversible.

According to a form of Euler's fluid dynamics equation, known as " pump and turbine equation ," the energy input to the fluid is proportional to the flow's local spinning velocity multiplied by the local impeller tangential velocity.

According to Newton's law of gravitation, the gravitational force,, acting on a mass, due to a mass which is a distance away, obeys the equation

According to Bloch's theorem, the wavefunction solution of the Schrödinger equation when the potential is periodic, can be written as:

According to that equation, the motion of a particle of mass m with velocity v is governed by Newton's second law

According to Gibbs free energy equation, the relation between dissociation equilibrium constant, K < sub > d </ sub >, and the components of free energy was built.

According to Noh-Varr the Kree have a mathematical equation that disproves the existence of any deity, which is taught to all Kree around " the same time we learn not to soil ourselves with excrement ".

According to the Friedmann – Lemaître – Robertson – Walker metric which is used to model the expanding universe, if at the present time we receive light from a distant object with a redshift of z, then the scale factor at the time the object originally emitted that light is given by the equation.

According to the orbital energy conservation equation ( also referred to as vis-viva equation ), it does not vary with time:

According to a dew point calculator at this site ( as an alternative, one may use the Antoine equation to obtain an approximate value ), that partial pressure results in the local dew point of about 0. 86 ° C ; in other words, the new local dew point is about equal to the new local temperature.

According to D ' Alembert's principle, inclusion of inertial forces as additional body forces will give the virtual work equation applicable to dynamical systems.

According to this equation, the efficiency of separation is only limited by diffusion and is proportional to the strength of the electric field.

According to this equation, maximum resolution is reached when the electrophoretic and electroosmotic mobilities are similar in magnitude and opposite in sign.

According to the model shown in nearly all introductory textbooks on economics, increasing the minimum wage decreases the employment of minimum-wage workers.

According to the Neumark and Wascher, a large majority of the studies show negative effects for the minimum wage ; those showing positive effects are few, questionable, and disproportionately discussed.

According to a 1978 article in the American Economic Review, 90 percent of the economists surveyed agreed that the minimum wage increases unemployment among low-skilled workers.

According to a comparative study of over 300 prokaryotic and over 30 eukaryotic genomes, eukaryotes appear to require a minimum amount of non-coding DNA.

According to the Appellation d ' Origine Contrôlée a minimum of 1. 5 years is required to completely develop all the flavour.

According to National Weather Service records, average January temperatures in Vacaville are a maximum of and a minimum of.

According to the Japanese government, “‘ war potential ’ in paragraph two means force exceeding a minimum level necessary for self-defense.

According to the Venice Commission of the Council of Europe, Belarus's constitution is " illegal and does not respect minimum democratic standards and thus violates the principles of separation of powers and the rule of law ".

According to William Blackstone's Commentaries on the Laws of England, a court is constituted by a minimum of three parties: the actor or plaintiff, who complains of an injury done ; the reus or defendant, who is called upon to make satisfaction for it, and the judex or judicial power, which is to examine the truth of the fact, to determine the law arising upon that fact, and, if any injury appears to have been done, to ascertain and by its officers to apply a legal remedy.

According to the Köppen Climate Classification, the city has an altitude tropical climate with dry winter, with minimum average temperatures of 15, 3 ° C and maximum of 27, 0 ° C.

According to a list subsequently compiled by investigating officers, Whitman had seen at minimum of five doctors between the fall and winter of 1965, before he had visited a psychiatrist from whom he received no prescription.

According to Burke, Norris didn't seem to support a minimum age of consent.

According to neoclassical price-determination theory and game theory, the independence of suppliers forces prices to their minimum, increasing efficiency and decreasing the price determining ability of each individual firm.

According to the South Carolina Department of Corrections, Smith will be eligible for parole on November 4, 2024, after serving a minimum of thirty years.

According to David Stein, the man who coined " Safe, Sane, and Consensual S / M " for New York ’ s Gay Male S / M Activists ( GMSMA ) SSC was only intended to be put forward as a minimum standard for ethically defensible S / M play, to establish a distinction between play between loving S / M partners and the public perception of sadomasochism which would be more accurately described as abusive behavior.

According to the OH & S regulations, a woman should not lift more than 15 kilograms ( 33 lbs ), which is only the minimum gross weight of a standard 12-bottle carton, which can weigh up to 20 kg for some types of bottles.

According to the agency ( Spanish ) Data Protection for the collection and dissemination on Internet of images of a person without their consent may be a serious breach of the Data Protection Act which would be punishable by a minimum fine of 60, 000 euros.

According to FEMA standards, every person should have a minimum of one quart per day of water, and more for children, nursing mothers, and the ill.

According to a Baptist University study, daily average minimum temperatures have increased by 0. 02 degrees ( celsius ) annually between 1965 and 2003, due to the " concrete jungle " which traps heat during the daytime and releases it at night.

According to Minerva McGonagall, the Auror Office takes in new recruits with a minimum of 5 N. E. W. T. s ( with marks no lower than " Exceeds Expectations ").

According to the Association of American Railroads ( AAR ), Class I railroads had minimum carrier operating revenues of $ 346. 8 million ( USD ) in 2006, $ 359 million ( USD ) in 2007, $ 401. 4

According to Vizing's theorem, the chromatic index of any graph ( the minimum number of colors needed to color its edges so that no two adjacent edges have the same color ) is either the maximum degree of any vertex of the graph or one plus the maximum degree.

According to Broadcasting & Cable, the challenges raised " the specter of costly legal battles to defend station holdings .... At a minimum, defending against one would cost tens of thousands of dollars in lawyers ' fees and probably delay license renewal about three months.

According to an article published in Sinclair User magazine ( which is likely to have been, at least in part, speculative ), Loki was to have a 7 MHz Z80H CPU, a minimum of 128 KiB of RAM and two custom chips providing much enhanced video and audio capabilities compared to the ZX Spectrum, but with a compatibility mode.