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Note that the mathematical symbol V stands for the second derivative of a function (in this case with respect to the Cartesian coordinates d fdx + d jdy + d jdz y, therefore the relationship stated in Eq. (41) is a second-order differential equation. Only for a constant dielectric Eq.(41) can be reduced to Coulomb s law. In the more interesting case where the dielectric is not constant within the volume considered, the Poisson equation is modified according to Eq. (42). [Pg.365]

Conversion Factors and Mathematical Symbols James O. Maloney Physical and Chemical Data Peter E. Liley, George H. Thomson, D. G. Friend, Thomas E. Daubert, Evan Buck... [Pg.7]

James O. Maloney, Ph.D., P.E., Emeritus Professor of Chemical Engineering, University of Kansas Fellow, American Institute of Chemical Engineering Fellow, American Association for the Advancement of Science Member, American Chemical Society, American Society for Engineering Education (Section 1, Conversion Factors and Mathematical Symbols)... [Pg.13]

APPENDIX A GLOSSARY OF MATHEMATICAL SYMBOLS APPENDIX B SPACES OF OPERATORS APPENDIX C INVARIANCE GROUPS... [Pg.217]

The general design problem can be represented in mathematical symbolism as a series of equations ... [Pg.20]

The mathematical symbol is used for the convolution function which means in detail... [Pg.58]

There are many uses for operations on sets in abstract descriptions. Because the traditional mathematical symbols are not available on most keyboards, OCL defines ASCII equivalents. It is easier to use + for union, for intersection, and - for set difference (see Section 2.4.5, Collections), and in Catalysis these features can be extended by the modeler. [Pg.594]

The Object Constraint Language (OCL), a standard part of UML 1.1, is a specification language used in conjunction with UML models. It is an expression-based, side-effect-free language that eschews mathematical symbols (V, 3, and so on) for textual equivalents (forAII, exists). It uses a syntax more usual in object-oriented languages V x T, p(x) becomes T->forAII (x x.p). [Pg.706]

Dimensional and mathematical symbols used in this Code are listed in Mandatory Appendix IV, with definitions. Uppercase and lowercase English letters are listed alphabetically, followed by Greek letters. [Pg.24]

Berzelius s accomplishment was a great step forward. However, in the mid-nineteenth century, confusion continued to reign. It appeared that the more that chemists knew, the more puzzles that confronted them. First, there was the question of why there were so many different chemical elements. When Dalton died in 1844, about 50 were known. Was the universe really made of 50 different building blocks The physicists had discovered that fundamental physical laws could be based on simple assumptions. Newton s law of gravitation, for example, could be written using just a few mathematical symbols. Why then should the world of chemistry be so complicated ... [Pg.148]

An inclusion complex could be designated by the mathematical symbol of inclusion e, e.g. [Sc L], i.e. L includes S, It may also be noted that in addition complexes A and B may be of similar size however, in inclusion complexes L is always much larger than S. A more extended systematic formulation of the different types of complexation processes and complexes may become useful in the future. [Pg.3]

As I note in my hoo i A Passion for Mathematics, Ramanujan was a prophet who plucked mathematical ideas from another world. They came to him in a flash. He could read the codes in the mathematical matrix in the same way thatNeo, the lead character in the movie The Matrix, could access mathematical symbols cascading about him that formed the infrastructure of his perceived reality. I don t know if God is a cryptographer, but codes are all around us waiting to be deciphered. Some may take a thousand years to understand. Some may always be shrouded in mystery. [Pg.348]

The exclamation point is the mathematical symbol for facrorial. (Factorial is the product of all the positive integers from one to a given number. For example, 5 = X2X3X4X5 = 120.) The volume of a 6-D sphere of radius 1 is... [Pg.109]


See other pages where Symbols mathematical is mentioned: [Pg.75]    [Pg.97]    [Pg.98]    [Pg.21]    [Pg.21]    [Pg.44]    [Pg.142]    [Pg.1296]    [Pg.1297]    [Pg.1298]    [Pg.1299]    [Pg.1300]    [Pg.1301]    [Pg.662]    [Pg.287]    [Pg.244]    [Pg.12]    [Pg.74]    [Pg.984]    [Pg.769]    [Pg.26]    [Pg.357]    [Pg.344]    [Pg.366]    [Pg.367]    [Pg.23]    [Pg.159]    [Pg.93]    [Pg.10]    [Pg.804]    [Pg.81]    [Pg.150]   
See also in sourсe #XX -- [ Pg.2 , Pg.246 ]

See also in sourсe #XX -- [ Pg.2 , Pg.246 ]

See also in sourсe #XX -- [ Pg.190 ]




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