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 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 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 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 researchers, the results suggest that altruistic behavior may originate from how people view the world rather than how they act in it.

According to utilitarianism, a good action is one that results in an increase in pleasure, and the best action is one that results in the most pleasure for the greatest number.

According to results released in January 2006, the constitution was approved by 84 % of voters.

According to hedonistic utilitarianism, a good action is one that results in an increase in pleasure, and the best action is one that results in the most pleasure for the greatest number.

According to academic Carlotta Anderson, American individualist anarchists accept that free competition results in unequal wealth distribution, but they " do not see that as an injustice.

According to some, results of keno games in great cities were sent to outlying villages and hamlets by carrier pigeons, resulting in its Chinese name 白鸽票 báigē piào, literally “ white dove ticket ”, pronounced baak-gap-piu in Cantonese ( which the Western spelling ' pak-ah-pu ' / ' pakapoo ' was based on ).

According to the provisional results of the Population and Housing Census 2011, the total population of Latvia on March 1, 2011 was 2, 067, 887.

According to several linguists, neurocognitive research has confirmed many standards of language learning, such as: " learning engages the entire person ( cognitive, affective, and psychomotor domains ), the human brain seeks patterns in its searching for meaning, emotions affect all aspects of learning, retention and recall, past experience always affects new learning, the brain's working memory has a limited capacity, lecture usually results in the lowest degree of retention, rehearsal is essential for retention, practice does not make perfect, and each brain is unique " ( Sousa, 2006, p. 274 ).

According to the Central Statistical Office of Poland, In 2010 the Polish economic growth rate was 3. 9 %, which was one of the best results in Europe.

According to Program for International Student Assessment ( PISA ) results, Shanghai students, including migrant children, scored highest in every aspect ( Math, Reading and Science ) in the world.

According to Max Boot's book War Made New ( 2006, pg 122 ), sometime between 1803 and 1809, the Prussian General Staff developed war games, with staff officers moving metal pieces around on a game table ( with blue pieces representing their forces and red pieces those of the enemy ), using dice rolls to indicate random chance and with a referee scoring the results.

* According to the Annals of Inisfallen, a royal meeting between Feidlimid mac Cremthanin, King of Cashel and Niall, King of the Southern Uí Neill and Tara at Cluain-Conaire-Tommain, results in Feidlimid becoming High-King of Ireland.

* According to Star Trek, the Earth-Romulan War will be fought between 2156 and 2160, which results in the establishment of the United Federation of Planets and Starfleet on October 11, 2161.

* According to Russian chronicles, Novgorod attacks Finland with devastating results.

André-Marie Ampère achieved the same results three years later by another method ( in his -- On the Determination of Proportions in which Bodies Combine According to the Number and the Respective Disposition of the Molecules by Which Their Integral Particles Are Made ), but the same indifference was shown to his theory as well.

According to Taleyarkhan et al., when properly considering those differences, the results are consistent with fusion.

According to the results it is decided how many potential positions in public service are allocated for each linguistic group.

According to the Good Schools Guide the school is " Highly successful, producing excellent results.

According to official results, he won the election with 54. 79 % of the vote in the first round ; his best results were in Antananarivo Province, where he received the support of 75. 39 % of voters.

According to the preliminary results of the 2010 Census, 404, 357 people lived in Ulan-Ude ; up from 359, 391 recorded in the 2002 Census, making the city the third largest in eastern Siberia by population.

According to the preliminary results of the 2010 Census, 404, 357 people lived in Ulan-Ude ; up from 359, 391 recorded in the 2002 Census.