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 this equation, minimum feature sizes can be decreased by decreasing the wavelength, and increasing the numerical aperture ( to achieve a tighter focused beam and a smaller spot size ).

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

According to Blair ( 1997 ) British Steel faced serious problems at the time of its formation, including obsolescent plants ; plants operating under capacity and thus at low efficiency ; outdated technology ; price controls that reduced marketing flexibility ; soaring coal and oil costs ; lack of capital investment funds ; and increasing competition on the world market.

According to Schumpeter ( 1934 ), the capabilities of innovating, introducing new technologies, increasing efficiency and productivity, or generating new products or services, are characteristics of entrepreneurs.

According to a 2003 report in Solar Today magazine, poor upkeep and lax regulation has reduced the energy efficiency of some of the solar heated businesses, but " most of the buildings are still excellent examples of solar energy at work.

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 Lovins, energy efficiency represents a profitable global market and American companies have at their disposal the technical innovations to lead the way.

According to Angel's business practise, Angel had two flights on each route, one in the morning and one in the evening, for maximum efficiency.

According to historian Charles Maier, Fordism proper was preceded in Europe by Taylorism, a technique of labor discipline and workplace organization, based upon supposedly scientific studies of human efficiency and incentive systems.

According to the formula the point of allocative efficiency is a point where marginal benefit is equal to marginal cost ( MB = MC ).

According to the Hebbian Rule synapses increase their efficiency if the synapse persistently causes the postsynaptic target neuron to generate action potentials.

According to the formula above, at 85 % efficiency air may be cooled only down to which makes it quite impractical.

According to MST's ideologues, the allgedly efficiency gained by this arrangement was by no means general, as since 1850 Brazilian landed property management was tied to the particular interests of a single class-the rural bourgeoisie.

According to Ward's Auto, Erich Sonntag of BMW described the Tritec engine as old fashioned and not very effective on function, performance and fuel efficiency.

According to the neoliberal approach, anti-price gouging laws prevent allocative efficiency.

According to Steven Usselman, this ability to achieve efficiency through coordination, and not some anti-competitive monopolistic greed by robber barons, explained the high levels of concentration in modern American industry.

According to Saunders, increased energy efficiency tends to increase energy consumption by two means.

According to the then-CEO Chew Choon Seng of Singapore Airlines, “ We are not convinced about the additional expenditure that would be needed to renew the freighter fleet with 747-8 freighters, when the tradeoffs in terms of operating efficiency is rather marginal, in our view.

According to the World Bank and International Finance Corporation's Municipal Scorecard 2008, which complements the annual Doing Business report, the municipality of Estelí ranks 1st and 2nd, out of 143 municipalities in ten Latin American countries, in quality and efficiency to obtain a construction permit and municipal operating license respectively.

According to a study on lexical access, monolinguals often maintain a wider vocabulary in a target language as compared to a comparable bilingual, and this increases the efficiency of word retrieval in monolinguals.

According to a study published in Nature, " a single dose of testosterone in women causes a substantial increase in fair bargaining behaviour, thereby reducing bargaining conflicts and increasing the efficiency of social interactions.

According to a Business Week profile, Mastran was unable to find a private company that understood welfare programs well enough to help the government instill efficiency, and so he decided to quit his position and start a business to fill that need.

According to Thomas J. McCormick, scholars and other experts on the systemic school define hegemony " as a single power's possession of ' simultaneous superior economic efficiency in production, trade and finance.

According to Barnard, organizations are not long-lived because they do not meet the two criteria necessary for survival: effectiveness and efficiency.

According to one weapons designer, boosting is mainly responsible for the remarkable 100-fold increase in the efficiency of fission weapons since 1945.

According to the company's announcement, " Designed as an elegant, highly capable coastal cruiser, the new 52 will offer semi-displacement cruising speed and efficiency along with the safety and capability sought after by the serious cruiser.