Simplify command

The complete solntion is obtained by nsing Maple s simplify command as follows ... 

The equation for cbmax can be simplified further by using Maple s simplify command. 

We can find an equation in terms of the rate constants that will provide a means of finding the time at which the maximum in Cb occurs. We do this by using Maple s simplify command and by finding dcbldi by using Maple s diff command. 

Commands in Mathematica are given in natural language form such as "Solve" or "Simplify" etc. The format of a command is the word starting with a capital letter and enclosing the argument in square brackets ... 

The diagrams in Pigure 2 illustrate the syntax of one of each type of the basic commands. Alternative branches in each diagram show variations in syntax that give flexibility to the commands. Figure 3 lists all ten basic commands in somewhat simplified form. 

Some of the rigidly systematic names selected by the Association for Science Education for their nomenclature list in 1985 from the IUPAC possibilities, and some of the systematic indexing names used by Chemical Abstracts since 1972, are given as synonyms in the Index of Chemical Names (Appendix 4). This should assist those coming into industry and research with a command of those nomenclature systems but who may be unfamiliar with the current variety of names used for chemicals. The inclusion where possible of the CAS Registry Number for each title compound should now simplify the clarification of any chemical name or synonym problems, by reference to the Registry Handbook or other CAS source. 

Now when MACSYMA is asked to differentiate (Dl) with respect to X, it does so in a straightforward manner and simplifies the result using the rational canonical simplifier RATSIMP. This command puts the expression in a numerator-over-denominator form canceling any common divisors. In (D2) the symbols %E and %P1 are MACSYMA s representations for the base of the natural logarithms and pi, respectively. 

A rigorous attack of many solid-state problems requires a command of physics that cannot be expected of the reader of the present text. The picture presented in this chapter is thus fragmentary and, in some cases, greatly simplified. 

Cases like the one just described are the rule, not the exception. They serve to illustrate that the formal order encoded in social-engineering designs inevitably leaves out elements that are essential to their actual functioning. If the factory were forced to operate only within the confines of the roles and functions specified in the simplified design, it would quickly grind to a halt. Collectivized command economies virtually everywhere have limped along thanks to the often desperate improvisation of an informal economy wholly outside its schemata. 

Besides simplifying most file management commands as shown above, the Explorer also allows you to easily complete a number of disk management tasks. Floppy disks can be formatted and labeled and the Windows system files can be copied to a floppy so that a disk may be used to boot a machine. 

In the previous sections we solved linear ODEs using exponential matrix (section 2.1.2 - 2.1.4) and the Laplace transform technique (section 2.1.5). Alternatively, Maple s dsolve command can be used to solve linear ODEs. However, the analytical solution obtained from the dsolve command may not be in a simplified form. 

In section 3.1.6, linear Boundary value problems were solved using Maple s dsolve command. The solution obtained may not be in the simplified form. Maple gives the Bessel function and other special function solutions for linear... 

In this chapter, analytical solutions were obtained for parabolic and elliptic partial differential equations in semi-infinite domains. In section 4.2, the given linear parabolic partial differential equations were converted to an ordinary differential equation boundary value problem in the Laplace domain. The dependent variable was then solved in the Laplace domain using Maple s dsolve command. The solution obtained in the Laplace domain was then converted to the time domain using Maple s inverse Laplace transform technique. Maple is not capable of inverting complicated functions. Two such examples were illustrated in section 4.3. As shown in section 4.3, even when Maple fails, one can arrive at the transient solution by simplifying the integrals using standard Laplace transform formulae. 

For cryptologic transaction schemes in general, one can distinguish the behaviour within and between transactions. Here, the assumptions from Section 5.1.2, Time and Transactions , and the definition of valid inputs have simplified this considerably it only remains to be required that every valid input at some access point is followed by an output at this access point within reasonable time. The interest group consists of this access point alone. This means that the access point returns to a state where the user can input commands for new transactions even if all the partners in the current transaction behave incorrectly. 

The components of the data acquisition system are communicating with each other via Internet protocol (TCP/IP). For instance, detectors are listening at Internet ports for commands to change their mode of operation and broadcast acknowledgments which are intercepted by the experiment control program. This is, in general, accomplished by a network of computers working under various Unix variants. It is thus very helpful, if the user has some experience in Unix. This starts from the question of how to check the raw data files for completeness and ends with complex scripts to simplify the control of the experiment. ... 

K2 is implemented as a multithreaded server that can handle multiple client connections. Clients communicate with the server using either Remote Method Invocation, Internet Inter-Orb Protocol, or an ad hoc socket protocol. In addition to a set of client libraries that simplify accessing K2 from any Web application that uses Java servlets, a chent that provides interactive command line access to the system has been implemented. 

But that is not all. Often, the corrected macro will refuse to run, and even the macro icon will look funny. In that case, you may first need to reset the macro. You do this, in the VBA editor, with the command sequence Run => Reset or its shortcut, Alt + r, Alt + r. In order to simplify matters and save time, it is often useful during testing and debugging to reset the macro routinely with the sequence Alt + r, Alt + r, F5. 

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