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In optical fiber technology, the substitution method is a method of measuring the transmission loss of a fiber. It consists of: using a stable optical source, at the wavelength of interest, to drive a mode scrambler, the output of which overfills (drives) a 1 to 2 meter long reference fiber having physical and optical characteristics matching those of the fiber under test,
A substitution table is used while teaching structures of English. [1] [2] Substitution tables were invented by Harold E. Palmer, [3] who defines substitution as "the process by which any authentic sentence may be multiplied indefinitely by substituting for any of its words or word-groups others of the same grammatical family and within certain semantic limits".
The Rijndael S-box was specifically designed to be resistant to linear and differential cryptanalysis. This was done by minimizing the correlation between linear transformations of input/output bits, and at the same time minimizing the difference propagation probability.
It is a type of substitution cipher in which each letter in the plaintext is replaced by a letter some fixed number of positions down the alphabet. For example, with a left shift of 3, D would be replaced by A, E would become B, and so on. [1] The method is named after Julius Caesar, who used it in his private correspondence.
Change of variables is an operation that is related to substitution. However these are different operations, as can be seen when considering differentiation or integration (integration by substitution). A very simple example of a useful variable change can be seen in the problem of finding the roots of the sixth-degree polynomial:
In calculus, integration by substitution, also known as u-substitution, reverse chain rule or change of variables, [1] is a method for evaluating integrals and antiderivatives. It is the counterpart to the chain rule for differentiation , and can loosely be thought of as using the chain rule "backwards."
The Sakurai reaction (also known as the Hosomi–Sakurai reaction) is the chemical reaction of carbon electrophiles (such as a ketone shown here) with allyltrimethylsilane catalyzed by strong Lewis acids.
An example of a strong, hazard-based interpretation of the substitution principle in application regarding chemicals considers the overall impact: "hazardous chemicals should be substituted by less hazardous alternatives or preferably alternatives that mitigates identifiable hazards impacts". [1]
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