For an engine speed of 5000 rpm, a gear ratio of 4.00 to 1, and a tire radius of 13 inches, the equation would look like this: Af

With de Broglie's suggestion of the existence of electron matter waves in 1924, and for a short time before the full 1926 Schrödinger equation treatment of hydrogen like atom, a Bohr electron " wavelength " could be seen to be a function of its momentum, and thus a Bohr orbiting electron was seen to orbit in a circle at a multiple of its half-wavelength ( this historically incorrect Bohr model is still occasionally taught to students ).

The above equation for the bit rate can be rewritten by combining the compression factor and the color depth like this:

However, if the equation were based on the natural numbers for example, some of these operations ( like division and subtraction ) may not be valid as negative numbers and non-whole numbers are not allowed.

The Schrödinger equation, applied to the aforementioned example of the free particle, predicts that the center of a wave packet will move through space at a constant velocity ( like a classical particle with no forces acting on it ).

The left-hand side is like the original Dirac equation and the right-hand side is the interaction with the electromagnetic field.

In this equation, a substrate-dependent parameter like s in the Swain – Scott equation is absent.

Consequently, a conversion equation like " 1 C = N statC " can be misleading: the units on the two sides are not consistent.

Also like Newton's Second law, the Schrödinger equation describes time in a way that is inconvenient for relativistic theories, a problem that is not as severe in matrix mechanics and completely absent in the path integral formulation.

To summarize, the Schrödinger equation is a differential equation of wave – particle duality, and particles can behave like waves because their corresponding wavefunction satisfies the equation.

If is large compared to the other resistances ( like the input to an operational amplifier ), the output voltage can be approximated by the simpler equation:

The " conditions " are a formula ( or several ) that represent reality, often something arising from a physical law like Newton's second law, the force-acceleration equation:

The wave function behaves qualitatively like other waves, like water waves or waves on a string, because the Schrödinger equation is mathematically a type of wave equation.

For sharp-cornered bluff bodies, like square cylinders and plates held transverse to the flow direction, this equation is applicable with the drag coefficient as a constant value when the Reynolds number is greater than 1000 .< ref >

Howkins, like his precursors, is constrained by an increasingly anachronistic equation of the countryside with agriculture.

As it is only simplistic and unclassified scaling laws that are commonly encountered, that do not take important things like varying land topography into account to ease calculation time and equation length.

This equation can be rearranged slightly, though this is a special case that will only rearrange like this for two components.

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.

Then, combined with the wage Phillips curve 1 and the assumption made above about the trend behavior of money wages 2, this price-inflation equation gives us a simple expectations-augmented price Phillips curve:

The Phillips curve equation can be derived from the ( short-run ) Lucas aggregate supply function.

This equation, plotting inflation rate π against unemployment U gives the downward-sloping curve in the diagram that characterises the Phillips curve.

A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation.

Fermat always started with an algebraic equation and then described the geometric curve which satisfied it, while Descartes starts with geometric curves and produces their equations as one of several properties of the curves.

Usually, a single equation corresponds to a curve on the plane.

In three dimensions, a single equation usually gives a surface, and a curve must be specified as the intersection of two surfaces ( see below ), or as a system of parametric equations.

The mathematical properties of the catenary curve were first studied by Robert Hooke in the 1670s, and its equation was derived by Leibniz, Huygens and Johann Bernoulli in 1691.

It is close to a more general curve called a flattened catenary, with equation, which is a catenary if.

A differential equation for the curve may be derived as follows.

is an equation defining the curve.

The differential equation given above can be solved to produce equations for the curve.

Translate the axes so that the vertex of the catenary lies on the y-axis and its height a is adjusted so the catenary satisfies the standard equation of the curve

For current cryptographic purposes, an elliptic curve is a plane curve which consists of the points satisfying the equation

( The coordinates here are to be chosen from a fixed finite field of characteristic not equal to 2 or 3, or the curve equation will be somewhat more complicated.

More generally, a parabola is a curve in the Cartesian plane defined by an irreducible equation — one that does not factor as a product of two not necessarily distinct linear equations — of the general conic form

These solutions yield good rational approximations of the form x / y to the square root of n. In Cartesian coordinates, the equation has the form of a hyperbola ; it can be seen that solutions occur where the curve has integral ( x, y ) coordinates.

The movement of the demand curve in response to a change in a non-price determinant of demand is caused by a change in the x-intercept, the constant term of the demand equation.

The movement of the supply curve in response to a change in a non-price determinant of supply is caused by a change in the y-intercept, the constant term of the supply equation.

Such a vector field serves to define a generalized ordinary differential equation on a manifold: a solution to such a differential equation is a differentiable curve on the manifold whose derivative at any point is equal to the tangent vector attached to that point by the vector field.

If a membrane is stretched over a curve C that forms the boundary of a domain D in the plane, its vibrations are governed by the wave equation

The IS curve is defined by the equation

Mathematically, the LM curve is defined by the equation, where the supply of money is represented as the real amount M / P ( as opposed to the nominal amount M ), with P representing the price level, and L being the real demand for money, which is some function of the interest rate i and the level Y of real income.

* Tendency equation and curve of stable nuclides

This enabled a curve to be described using an equation rather than an elaborate geometrical construction.

The shortest path between two points in a curved space can be found by writing the equation for the length of a curve ( a function f from an open interval of R to the manifold ), and then minimizing this length using the calculus of variations.