The error in the Steinhart-Hart equation is generally less than 0. 02 ° C in the measurement of temperature over a 200 ° C range.

The equation is used for the mathematical process of solving the problem.

A constant is a number that remains the same regardless of the other numbers used in the formula and the resultant equation.

It is a number without which the equation cannot be solved correctly.

The radiation loss from the anode surface was computed according to Af where Af is the mean of the fourth powers of the temperatures Af and Af calculated analogously to equation ( 1 ).

The total volume of the system above the reference height is Af, and H can be eliminated to obtain an equation for the total potential energy of the system in terms of H.

The approximate equation is Af, where N is the number of Af with electron line-density greater than or equal to Af, and Q is proportional to the mass of the meteorite.

If Af denotes the space of N times continuously differentiable functions, then the space V of solutions of this differential equation is a subspace of Af.

In other words, if F satisfies the differential equation Af, then F is uniquely expressible in the form Af where Af satisfies the differential equation Af.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

This is the principle which we will invoke in every case to set up a functional equation.

The set of equations ( 5 ), ( 6 ), and the starting equation ( 7 ) is of a recursive type well suited to programming on the digital computer.

The restrained gyro-stabilized platform with reasonable response characteristics operates with an approximate equation of motion, neglecting transient effects, as follows: Af where U is a torque applied about the output axis of the controlling gyro.

The equation relating input acceleration to output platform angle is Af.

Once more the fallacious equation is advanced to argue that since business is restricted under the anti-monopoly laws, there must be a corresponding restriction against labor unions: the law must treat everybody equally.

The study of altruism was the initial impetus behind George R. Price's development of the Price equation, which is a mathematical equation used to study genetic evolution.

Then the arithmetic mean is defined via the equation

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

As an example, the field of real numbers is not algebraically closed, because the polynomial equation x < sup > 2 </ sup > + 1 = 0 has no solution in real numbers, even though all its coefficients ( 1 and 0 ) are real.

The apparent asymmetry in that last equation is due to the fact that, so both update terms are equal to.

Gases behave in a similar way over a wide variety of conditions because to a good approximation they all have molecules which are widely spaced, and nowadays the equation of state for an ideal gas is derived from kinetic theory.

The most general and widely used equation for calculating reference ET is the Penman equation.

( A widely used broader definition treats " difference equation " as synonymous with " recurrence relation ".

The lemma is widely employed in mathematical finance, and its best known application is in the derivation of the Black – Scholes equation for option values.

The name of the project is a pun on Black – Scholes, a widely used equation in financial derivatives pricing which earned two of its three inventors a Nobel Prize in Economics.

This disappearance has been widely documented in books and documentaries ( among them Black Noise and Scratch The Movie ), and was linked to the increased use of DAT tapes and other studio techniques that would ultimately push the DJ further away from the original hip-hop equation of the MC as the vocalist and the DJ as the music provider alongside the producer.

This work led to the first formulation of the Tait equation, which is widely used to fit liquid density to pressure.

So, for example, concepts like singularities ( the most widely known of which in general relativity is the black hole ) which can not be expressed completely in a real world geometry, can correspond to particular states of a mathematical equation.

) The equation of time values for each day of the year, compiled by astronomical observatories, were widely listed in almanacs and ephemerides.

Inverse relationships and their counterpart, direct relationships, are widely used in the physical sciences to describe the relationship between two variables in an equation.

The equation is also useful for estimating the pH of a buffer solution and finding the equilibrium pH in acid-base reactions ( it is widely used to calculate the isoelectric point of proteins ).

This function also describes solutions of Bessel's differential equation ; it therefore is widely used in mathematics and is named the Struve function.

One problem with any creatinine-based equation for GFR is that the methods used to assay creatinine in the blood differ widely in their susceptibility to non-specific chromogens, which cause the creatinine value to be overestimated.

This equation was independently derived by Konstantin Tsiolkovsky towards the end of the 19th century and is widely known under his name or as the ' ideal rocket equation '.

However, despite Waite's attempts to distinguish the two, the equation of the LHP with Black Magic was propagated more widely in the fiction of Dennis Wheatley, Wheatley also conflated the two with Satanism and also the political ideology of communism, which he viewed as a threat to traditional British society.

* Stiff equation, an ordinary differential equation that exhibits behaviour at two widely different scales

In 1926, together with O. Baldwin, he published a paper presenting the gravitational plane waves, which are widely regarded as one of the most important of all exact solutions of the Einstein field equation in general relativity.

In mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in physics and engineering.

This equation, describing the deflection of a uniform, static beam, is used widely in engineering practice.

Three of the four persons present, all foreign students in Tokyo, had been playing a game of judging popular Japanese foods by the In and Out system, an equation in which Zen philosophy was used as the modifier.

experimental methods used in the study of the personal equation were

Dropping the tildes and using, we get the commonly used form of the acoustic momentum equation

The equation for the conservation of mass for an acoustic medium can also be derived in a manner similar to that used for the conservation of momentum.

The ideal gas law or another equation of state is often used in conjunction with these equations to form a determined system to solve for the unknown variables.

where is the Boltzmann constant, T is temperature ( assumed to be a well-defined quantity ), is the degeneracy ( meaning, the number of levels having energy ; sometimes, the more general ' states ' are used instead of levels, to avoid using degeneracy in the equation ), N is the total number of particles and Z ( T ) is the partition function.

The Hankel functions are used to express outward-and inward-propagating cylindrical wave solutions of the cylindrical wave equation, respectively ( or vice versa, depending on the sign convention for the frequency ).

In chemical thermodynamics the term used for the chemical potential energy is chemical potential, and for chemical transformation an equation most often used is the Gibbs-Duhem equation.

The programs used in computational chemistry are based on many different quantum-chemical methods that solve the molecular Schrödinger equation associated with the molecular Hamiltonian.

For a fully relativistic treatment, the equation of state used will interpolate between the equations for small ρ and for large ρ.

Given a simple, binary component feed, analytical methods such as the McCabe-Thiele method or the Fenske equation can be used.

The Drake equation is a mathematical equation used to estimate the number of detectable extraterrestrial civilizations in the Milky Way galaxy.

If an equation in algebra is known to be true, the following operations may be used to produce another true equation:

As in acid and basic medium, electrons which were used to compensate oxidation changes are multiplied to opposite half reactions, thus solving the equation.

A related concept is the perfect fluid equation of state used in cosmology.

While superior to the van der Waals equation of state, it performs poorly with respect to the liquid phase and thus cannot be used for accurately calculating vapor-liquid equilibria.