Encyclopedia

complete integral

complete integral

[kəm′plēt ′in·tə·grəl]
(mathematics)
A solution of an n th order ordinary differential equation which depends on n arbitrary constants as well as the independent variable. Also known as complete primitive.
A solution of a first-order partial differential equation with n independent variables which depends upon n arbitrary parameters as well as the independent variables.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive
Our DEFCON 4SD is a proven system and is the same suppressor system we use on our 9SD Complete Integral 9mm AR Upper Assemblies, as well as our D3-9SD, The Ultimate Urban Carbine."
The reason for the latter condition resides in the fact that (1)-(6) have been obtained by analytically evaluating the complete integral representations for the fields after setting [k.sub.0] = 0 everywhere, thus implicitly assuming [k.sub.0] negligible even if compared to [absolute value of [k.sub.1]].
The complete integral expressions for the fields are expanded into power series of the ratio between the wavenumbers in free-space and in the material half-space.
It is not, then, a complete integral (this would be [beta] = 3) and so the sum (integral) for obtaining the gravity is more intricate than the mass distribution (continuous by definition), i.
A carriage assembly strips the bag off the wicket posts and carries the firmly held bag to the sealer where the Saxon 5 continuous 'hot air' Sealer melts the chosen plastic to its optimum temperature, at which point crimping ollers effect a complete integral seal.
(3) was later superseded by Bartky's transformation and its application by Bulirsch (4) to his complete integral cel ([k.sub.c], p, a, b).
Yet, to date the derivation of closed-form expressions from the complete integral representations for the field components has proven to be a prohibitive task, except for certain special cases which, fortunately, cover many practical applications (EM sounding to detect buried objects, radio propagation, therapeutic heating of tissues) [3-11].
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