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 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 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 applied to a tangent vector X to the surface, the shape operator is the tangential component of the rate of change of the normal vector when moved along a curve on the surface tangent to X.

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.

When this happens the carbon atoms will no longer be soluble with the iron, and will be forced to precipitate out of solution, nucleating into the spaces between the crystals.

* When strings contain spaces or other word dividers, the decision must be taken whether to ignore these dividers or to treat them as " letters " preceding all other letters of the alphabet.

When address spaces increased from 16 to 32 bits, kernel design was no longer cramped by the hardware architecture, and kernels began to grow.

When the exact chromaticities of the red, green, and blue primaries are defined, the color model then becomes an absolute color space, such as sRGB or Adobe RGB ; see RGB color spaces for more details.

When visiting Venice in 1978, Gould noted that the spandrels of the San Marco cathedral, while quite beautiful, were not spaces planned by the architect.

When they employed them in parallel connected electric distribution systems, closed-core transformers finally made it technically and economically feasible to provide electric power for lighting in homes, businesses and public spaces.

When employed in electric distribution systems, this revolutionary design concept would finally make it technically and economically feasible to provide electric power for lighting in homes, businesses and public spaces.

Note When applied to normed spaces, the definitions in this section coincide with the notion of reflexivity for normed spaces.

When corridors were shared by 20 families and staircases by hundreds, public spaces immediately fell into disrepair.

When finished, the town would be around 30 % larger and 3, 200 new homes would be built on ' Stanton Cross ' site, with new Schools, Bus stops, Community Centres, Shops, a Doctor's surgery, and new open spaces.

When X and Y are Hilbert spaces, the same conclusion holds for the Hermitian adjoint T < sup >∗</ sup >.

When modeling a car, for example, it is desirable to describe the center of each wheel with respect to the car's coordinate system, but then specify the shape of each wheel in separate local spaces centered about these points.

When MediaWiki was created, it was typical for wikis to require text like " WorldWideWeb " to create a link to a page about the World Wide Web: links in MediaWiki, on the other hand, are created by surrounding words with double square brackets, and any spaces between them are left intact, e. g. < code >< nowiki > World Wide Web </ nowiki ></ code >.

When the topological spaces considered are Riemann surfaces or more generally analytic varieties, germs of holomorphic functions on them can be viewed as power series, and thus the set of germs can be considered to be the analytic continuation of an analytic function.

* When restricting further to coherent sober spaces which are Hausdorff, one obtains the category Stone of so-called Stone spaces.

When using the functor Ω to pass from Top to Frm, all set-theoretic elements of a space are lost, but-using a fundamental idea of category theory-one can as well work on the function spaces.

When some of the strings being ordered consist of more than one word, i. e. they contain spaces or other separators such as hyphens, then two basic approaches may be taken.

When Italian organizers planned an American festival, they searched for a city that would offer the charm of Spoleto, Italy, and also its wealth of theaters, churches, and other performance spaces.

When used as private outdoor terrace spaces, setbacks can allow for significantly larger and more protected spaces than cantilevered balconies.