See Equation 10 on p24.

The intersect of the projectile trajectory with a hill may most easily be derived using the trajectory in parabolic form in Cartesian coordinates ( Equation 10 ) intersecting the hill of slope in standard linear form at coordinates:

Substituting the value of into Equation 10:

* Modeling Pressure Oscillations Under Knocking Conditions: A Partial Differential Wave Equation Approach, SAE Technical Paper n. 2010-01-2185, http :// dx. doi. org / 10. 4271 / 2010-01-2185, ISSN 0148-7191, Oct., 2010.

This formula is Equation 10 of with the preferred weightings for the macronutrients entered.

This formula is based on Equation 10 of and taking into account that the carbohydrate line on nutrition labels in the UK do not count the fiber.

The stoichiometric coefficients ( the numbers in front of the chemical formulas ) result from the law of conservation of mass and the law of conservation of charge ( see " Balancing Chemical Equation " section below for more information ).

See at Equation 12 ( paragraph ) and Equation 14 ( paragraph ), respectively for specific formulas for those items.

In his Lectures on Physics ( Vol. 2, Ch32 ), Richard Feynman has a background discussion deriving the Clausius-Mosotti Equation, in reference to the Index of Refraction for dense materials.

* Amicable numbers are featured in the novel The Professor's Beloved Equation by Yoko Ogawa, and in the Japanese film based on it.

* A tutorial on the theory behind and solution of the Diffusion Equation.

* Tartaglia's work ( and poetry ) on the solution of the Cubic Equation at Convergence

* Laplace Differential Equation on PlanetMath

* The Dirac Equation appears on the floor of Westminster Abbey.

* " Day Twelve: Trauma ", a song by Ayreon on the album The Human Equation

He also worked on mathematical models of population dynamics and developed a general model now called the " von Foerster Equation "

He has appeared on many Trent Gardner releases ( including Leonardo: The Absolute Man and Explorer's Club ), as well as appearing on albums by such artists as Ayreon ( The Human Equation, released 2004 ), Shadow Gallery, Tim Donahue and Frameshift.

Equation 2 can be interpreted as a cost-plus pricing or markup pricing scheme. That is the price of the product is based on markup over average costs.

Equation ( 7 ) has a pair of folded perfect squares, one on each side of the equation.

Equation ( 2. 2 ) above is critical to making the connection between spatial bandwidth ( on the one hand ) and angular bandwidth ( on the other ), in the far field.

Young established the well-regarded Young's Equation which defines the balances of forces caused by a wet drop on a dry surface.

A second debate by him on mathematics (" quadratic equations ") was reprinted by the British Association for the History of Mathematics and by the American equivalent body, and from thence it is cited by Puzzi in a recent text " The Equation They Couldn't Solve ".

The Source's initial attempts to recreate the Fifth World had been hampered by the Crisis on Infinite Earths which unified the Multiverse and forged an impenetrable Source Wall around the Anti-Life Equation.

Darkseid acquires the powers of the Anti-Life Equation and capitalizes on the deaths of the New Gods by using the human Jimmy Olsen as a " soul-catcher " for the Gods, from which he can claim all their powers and recreate the universe in his own image, but he is killed when the Source is able to send Darkseid's resurrected son, Orion, to rip out his heart.

The other type results from the use of models of suspensions and includes an Einstein-model approach based on the volume fraction of the suspension occupied by particles ( e. g., hematocrit ), the Casson Equation, and an equation developed by Quemada.

Scott possesses greater power as the embodiment of the Anti-Life Equation, which allows him to warp reality on a cosmic level.

* A tutorial on the theory behind and solution of the Diffusion Equation.

Texas Instruments distributes software which emulates the TI-81 and its Equation Operating System on a desktop computer using MS-DOS or DOSBox.

The wave that emerges from a point source has amplitude at location r that is given by the solution of the frequency domain wave equation for a point source ( The Helmholtz Equation ),

* Nonlinear Wave Equations by Stephen Wolfram and Rob Knapp and Nonlinear Wave Equation Explorer by Stephen Wolfram, and Wolfram Demonstrations Project.

* Module for Laplace ’ s Equation by John H. Mathews

Apparent Sidereal Time ( Local or at Greenwich ) differs from Mean Sidereal Time ( for the same locality and moment ) by the Equation of the Equinoxes: This is a small difference in Right Ascension R. A. () ( parallel to the equator ), not exceeding about +/- 1. 2 seconds of time, due to nutation, the complex ' nodding ' motion of the Earth's polar axis of rotation.

The algorithm was named after Nicholas Metropolis, who was an author along with Arianna W. Rosenbluth, Marshall N. Rosenbluth, Augusta H. Teller, and Edward Teller of the 1953 paper Equation of State Calculations by Fast Computing Machines which first proposed the algorithm for the specific case of the Boltzmann distribution ; and W. Keith Hastings, who extended it to the more general case in 1970.

The evolution of the aerosol due to these process can be characterized by a differential equation called the Aerosol General Dynamic Equation ( GDE ).

The wavelength obtained is given by the Bragg Equation:

* The Equation of Time and the Analemma — by Kieron Taylor

Lambert first considered the related Lambert's Transcendental Equation in 1758, which led to a paper by Leonhard Euler in 1783 that discussed the special case of we < sup > w </ sup >.

This model was developed in a sample of 1000 working adults using the statistical techniques of Exploratory Factor Analysis followed by Confirmatory Factor Analysis by Structural Equation Modelling.

* V. Barbu and S. S. Sritharan, “ M-accretive Quantization of the Vorticity Equation ", in Semi-groups of Operators: Theory and Applications, edited by A. V. Balakrishnan, Birkhauser, Boston, 2000, pp. 296 – 303.

He also made lead vocals in the album The Human Equation by Arjen Anthony Lucassen musical project Ayreon, in which he played Me, the main character.

It employed a differential to add the Equation of Time to local mean time, as determined by the clock mechanism, to produce solar time, which would have been the same as the reading of a sundial.

The loss is approximated by Ruze's Equation.

In fact, choosing and dividing Equation ( 2 ) by we get

Under normal conditions, one can thus calculate the volume of phase space occupied by the gas, by dividing Equation 1 by N !.

Equation ( 40 ) implies that versions of Fowler-Nordheim-type equations can be written where either F or βV is everywhere replaced by.