For some applications, a single alpha channel is not sufficient: a stained-glass window, for instance, requires a separate transparency channel for each RGB channel to model the red transparency, green transparency, and blue transparency.

For these reasons many CAD applications use the DWG format which can be licensed from AutoDesk or non-natively from the Open Design Alliance.

For many applications where one is only concerned about rotation around one axis, it is sufficient to discard the pseudovector nature of angular momentum, and treat it like a scalar where it is positive when it corresponds to a counter-clockwise rotation, and negative clockwise.

For different applications there are different precise definitions.

For instance, JavaBeans library is used for designing enterprise applications, Windows Forms library is used for designing graphical user interface ( GUI ) applications like Microsoft Word, and Windows Communication Foundation is used for designing web services.

For these non-traditional applications, hundreds of weaves or patterns have been invented.

* For many embedded applications, interrupt latency will be more critical than in some general-purpose processors.

For most applications, the effect is also negligible for Schottky diodes.

For faster applications FPGAs might be used.

Beginning in 2007, multicore implementations of DSPs have started to emerge from companies including Freescale and Stream Processors, Inc. For faster applications with vast usage, ASICs might be designed specifically.

For slow applications, a traditional slower processor such as a microcontroller may be adequate.

For many geologic applications, isotope ratios are measured in minerals that give the amount of time that has passed since a rock passed through its particular closure temperature, the point at which different radiometric isotopes stop diffusing into and out of the crystal lattice.

For many applications ( bottles, eyewear ) polymer glasses ( acrylic glass, polycarbonate,

For these applications, more expensive stainless steel is preferred.

For example, J2EE targeted enterprise applications and the greatly stripped-down version J2ME for mobile applications ( Mobile Java ).

For life-threatening applications, other factors come into play.

For example CP / M machines used many different floppy disk formats, which meant that one machine could not normally read disks from another CP / M machine, and Kermit was used as part of a process to enable the transfer of applications and data between CP / M machines and other machines with different operating systems.

For studies starting in autumn 2012, Lund received 11, 160 foreign master's applications from 152 countries, which was roughly one third of all international applications to Swedish universities.

For instance, laser microscopy focused on biological applications uses ultrashort pulse lasers, or femtosecond lasers, in a number of techniques labeled as nonlinear microscopy, saturation microscopy, and multiphoton fluorescence microscopy.

For some applications, the separation is preceded by wafer backgrinding in order to reduce the wafer thickness.

For example, z900, z990, System z9, and System z10 servers effectively execute result-oriented instructions twice, compare results, arbitrate between any differences ( through instruction retry and failure isolation ), then shift workloads " in flight " to functioning processors, including spares, without any impact to operating systems, applications, or users.

For technical applications such as laser mirrors, the reflective coating is typically applied by vacuum deposition on the front surface of the substrate.

For instance, so-called `` conservative '' organizations, some of them secret, are sprouting in the garden of joining where `` liberal '' organizations once took root.

For example, the officials of Poughkeepsie town ( township ) where the project is located think highly of it because it simplifies their snow clearing problem.

For outdoor signs and displays, where the problem of weathering resistance is no longer a factor, the choice of plastics is almost unlimited.

For example, the level of improvement noted in a recent experiment with a short course of immediate treatment for parent-child relationship problems compared favorably with the results reported by typical child guidance clinics where the hours spent in purely diagnostic study may equal or exceed the number of hours devoted to actual treatment interviews in the experimental project.

For circular fibers in a closely packed hexagonal array, the packing efficiency is given by: Af where Af, and 0.906 is the ratio of the area of a circle to that of the circumscribed hexagon.

For a single stage we may define Af where the maximization is by choice of Af.

For the case of a purely inertial autonavigator consisting of three restrained gyros, a coordinate system is used where the sensitive axis of the X accelerometer is parallel to the east-west direction at the base point, and the Y accelerometer sensitive axis is parallel to the north-south direction at the base point.

For two hours they drove her from one strong point to another along the side of the Reef, trying to maneuver her onto the plain where they could get a good throw.

For the convenience of guests bundle centers have been established throughout the city and suburbs where the donations may be deposited between now and the date of the big event.

The angriest young man in Newport last night was at the Playhouse, where `` Epitaph For George Dillon '' opened as the jazz festival closed.

For example, luan is represented as ㄌㄨㄢ ( l-u-an ), where the last symbol ㄢ represents the entire final-an.

For instance, we read of Whiting, the last abbot of Glastonbury, judicially murdered by Henry VIII, that his house was a kind of well-ordered court, where as many as 300 sons of noblemen and gentlemen, who had been sent to him for virtuous education, had been brought up, besides others of a lesser rank, whom he fitted for the universities.

For example, where a person has committed harmful actions of body, speech and mind based on greed, hatred and delusion, rebirth in a lower realm, i. e. an animal, a ghost or a hell realm, is to be expected.

For the next few years, Newton was raised by his emotionally distant stepmother while his father was at sea, and spent some time at a boarding school where he was mistreated.

For this purpose he visited the Diet of Nuremberg in 1522, where he made the acquaintance of the Reformer Andreas Osiander, by whose influence Albert was won over to Protestantism.

For this initiation, he went to the court of Thurisind, where the Gepid king gave him Turismod's arms.

For example, the allotropes of carbon include diamond ( where the carbon atoms are bonded together in a tetrahedral lattice arrangement ), graphite ( where the carbon atoms are bonded together in sheets of a hexagonal lattice ), graphene ( single sheets of graphite ), and fullerenes ( where the carbon atoms are bonded together in spherical, tubular, or ellipsoidal formations ).

For instance member nations of the Commonwealth where English is not spoken natively, such as India, often closely follow British English forms, while many American English usages are followed in other countries which have been historically influenced by the United States, such as the Philippines.

For a vector with linear addressing, the element with index i is located at the address B + c · i, where B is a fixed base address and c a fixed constant, sometimes called the address increment or stride.

For a two-dimensional array, the element with indices i, j would have address B + c · i + d · j, where the coefficients c and d are the row and column address increments, respectively.

For example, the field extension R / Q, that is the field of real numbers as an extension of the field of rational numbers, is transcendental, while the field extensions C / R and Q (√ 2 )/ Q are algebraic, where C is the field of complex numbers.

More technically, the law is concerned with the speedup achievable from an improvement to a computation that affects a proportion P of that computation where the improvement has a speedup of S. ( For example, if an improvement can speed up 30 % of the computation, P will be 0. 3 ; if the improvement makes the portion affected twice as fast, S will be 2.

For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.