When he heard that Paul Whiteman was looking for singers to replace the Rhythm Boys, Mercer applied and got the job, `` not for my voice, I'm sure, but because I could write songs and material generally ''.

When the pressure applied on a parcel of air decreases, the air in the parcel is allowed to expand ; as the volume increases, the temperature falls and internal energy decreases.

When they lost control of Assyria itself, the name Syria survived and was applied only to the land of Aramea to the west, that had once been part of the Assyrian empire.

When a positive voltage is applied to anode of the diode from the circuit, more holes are able to be transferred to the depleted region, and this causes the diode to become conductive, allowing current to flow through the circuit.

When the current through the device is reversed, the electrodes switch functions, so anode becomes cathode, while cathode becomes anode, as long as the reversed current is applied, with the exception of diodes where electrode naming is always based on the forward current direction.

When heat is applied the components react and cross-link.

When heat and pressure are applied to the layers, a chemical reaction ( polymerization ) transforms the layers into a high-pressure thermosetting industrial laminated plastic.

When it started in 1970, the Universal Press Syndicate gave cartoonists a 50-percent share on the ownership of their works, while the Creators Syndicate ( founded in 1987 ) granted artists full rights to the strips, something that Universal Press did in 1990. followed by King Features in 1995, while before 1999 both the Tribune and United Feature services began granting rights to creators over their works ; however the latter three syndicates only applied this to new strips, or to ones popular enough.

When applied to the simplest two-electron molecule, H < sub > 2 </ sub >, valence bond theory, even at the simplest Heitler-London approach, gives a much closer approximation to the bond energy, and it provides a much more accurate representation of the behavior of the electrons as chemical bonds are formed and broken.

When a metal wire is subjected to electric force applied on its opposite ends, these free electrons rush in the direction of the force, thus forming what we call an electric current.

When the Babylonian Empire empire was absorbed into the Persian Achaemenid Empire, the name " Chaldean " lost its meaning as the name of a race of men, and came to be applied only to a social class.

When the ground became redeveloped, with the standing terraces replaced in 2003-4 ( during Fulham's exile to Loftus Road ) the club applied for a licence to have a designated neutral area, in the rows closest to the Cottage, ( affectionately nicknamed ' Little Switzerland ').

When a manipulation is performed, the applied force separates the articular surfaces of a fully encapsulated synovial joint, which in turn creates a reduction in pressure within the joint cavity.

When the Beagle made its first stop ashore at St Jago, Darwin found rock formations which seen " through Lyell's eyes " gave him a revolutionary insight into the geological history of the island, an insight he applied throughout his travels.

When the model is applied to an existing organization's software-development processes, it allows an effective approach toward improving them.

When applied to vector spaces of functions ( which typically are infinite-dimensional ), dual spaces are employed for defining and studying concepts like measures, distributions, and Hilbert spaces.

When applied in large enterprises the result is dozens of tables that are linked together by a web of joins.

When applied to Sanskrit, however, it added a great deal of complexity to the script, due to the large variety of clusters in this language ( up to five consonants, e. g. rtsny ).

When natural resource management is applied to whole ecosystems, rather than single species, it is termed ecosystem management.

When applied on an image to fill a particular bounded area with color, it is also known as boundary fill.

When applied to futures and forex, it focuses on the overall state of the economy, interest rates, production, earnings, and management.

When applied to whiteware ceramics, vitreous means the material has an extremely low permeability to liquids, often but not always water, when determined by a specified test regime.

When the electric current is applied, the larger molecules move more slowly through the gel while the smaller molecules move faster.

When the hammer strikes, the head gets stopped by an opposite force coming from the target ; which is equal and opposite to the force applied by the head to the target.

When heat is applied to the meat a chemical reaction happens that turns the hemoglobin white.

When the key is pressed, the tangent strikes the strings above, causing them to sound in a similar fashion to the hammering technique on a guitar.

When the key is released, the tangent loses contact with the string and the vibration of the string is silenced by strips of damping cloth.

When x and y are real variables, the derivative of f at x is the slope of the tangent line to the graph of f at x.

When the axis is tangent to the circle, the resulting surface is called a horn torus ; when the axis is a chord of the circle, it is called a spindle torus.

When a clavichord key is pressed, a small metal tangent strikes a string and remains in contact with it for as long as the key is held down.

When, in 1595, Vieta published his response to the problem set by Adriaan van Roomen, he proposed finding the resolution of the old problem of Apollonius, namely to find a circle tangent to three given circles.

When consumers maximize utility with respect to a budget constraint, the indifference curve is tangent to the budget line, therefore, with m representing slope:

When two or more characteristics of, say those listed above, are desired ( and for which a solution exists ) projecting in the direction of either of the two elements of intersections ( one element, if cones are tangent ) between the two cones produces the desired solution view.

When trying to find the radius of a fourth circle tangent to three given kissing circles, the equation is best rewritten as:

When an indifference curve for Abby crosses one of the indifference curves for Octavio at more than one point ( so the two curves are not tangent to each other ), a space in the shape of a lens is created by the crossing of the two curves ; any point in the interior of this lens represents an allocation of the two goods between the two people such that both people would be better off, since the point is on an indifference curve farther from both of their respective origins.

When representing the electrical circuit parameters as vectors in a complex plane, known as phasors, a capacitor's dissipation factor is equal to the tangent of the angle between the capacitor's impedance vector and the negative reactive axis, as shown in the diagram to the right.

When tires of a vehicle provide a centripetal force to pull it around a turn, the momentum of the vehicle actuates load transfer in a direction going from the vehicle's current position to a point on a path tangent to the vehicle's path.

These points of intersection are the defined to be the foci of C. In other words, a point P is a focus if both PI and PJ are tangent to C. When C is a real curve, only the intersections of conjugate pairs are real, so there are m in a real foci and m < sup > 2 </ sup >− m imaginary foci.

When the key is released, the tangent loses contact with the string and the vibration of the string is silenced by strips of damping cloth.

When the curve crosses the origin, the origin is a point of inflection and therefore has contact of order 3 with a tangent.

When it was decided that Asteroids would be a vector game as well, Delman modified a Lunar Lander circuit board for Ed Logg.

* In linear algebra, an endomorphism of a vector space V is a linear operator V → V. An automorphism is an invertible linear operator on V. When the vector space is finite-dimensional, the automorphism group of V is the same as the general linear group, GL ( V ).

When the angular velocity of this co-rotating frame is not constant, that is, for non-circular orbits, other fictitious forces — the Coriolis force and the Euler force — will arise, but can be ignored since they will cancel each other, yielding a net zero acceleration transverse to the moving radial vector, as required by the starting assumption that the vector co-rotates with the planet.

When defined for a topological vector space there is a subspace of this dual space, corresponding to continuous linear functionals, which constitutes a continuous dual space.

When the evolution map Φ < sup > t </ sup > ( or the vector field it is derived from ) depends on a parameter μ, the structure of the phase space will also depend on this parameter.

When light crosses an optical element the resulting polarization of the emerging light is found by taking the product of the Jones matrix of the optical element and the Jones vector of the incident light.

When making a gun-like configuration, with the middle finger crossing under the index finger, the fingers represent the velocity vector, magnetic field vector, and force vector, respectively.

When only the magnitude and direction of the vector matter, then the particular initial point is of no importance, and the vector is called a free vector.

When the length of vectors is defined, it is possible to also define a dot product — a scalar-valued product of two vectors — which gives a convenient algebraic characterization of both length ( the square root of the dot product of a vector by itself ) and angle ( a function of the dot product between any two vectors ).

When the coordinates are transformed, for example by rotation or stretching, then the components of the vector also transform.

When considered a vector, weight is often denoted by a bold letter W.

When the system S is prepared in a pure state, it is associated with a vector in H. Measurable quantities are associated with Hermitian operators acting on H: these are referred to as observables.

When new SIMD architectures need to be distinguished from older ones, the newer architectures are then considered " short-vector " architectures, as earlier SIMD and vector supercomputers had vector lengths from 64 to 64, 000.

When a vector field represents force, the line integral of a vector field represents the work done by a force moving along a path, and under this interpretation conservation of energy is exhibited as a special case of the fundamental theorem of calculus.