Syllabus of Mathematics a Symposium

Cover Syllabus of Mathematics a Symposium
Syllabus of Mathematics a Symposium
American Society for Engineering Education Commit
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If several values of y correspond to each value of x, we have what is called a *' multiple valued function of x, " which is really a collection of several distinct functions. For example, if y^=zx, then 2/ = y/x, which is a double valued function of x.
Any mathematical expression involving a variable re is a function of x ; but there are many important functional rela- tions which cannot be expressed in any simple mathematical form.
2. A function is said to be tabulated when values of the argum
...ent (as many as we please, preferably at regular inter- vals) are set down in one column, and the corresponding values of the function are set down in another column, op- posite the first. For example, in a table of sines, the angle is the argument, and the sine of the angle is the function.
3. A function may also be exhibited graphically, as follows : Lay off the values of the argument as abscissas along a (hori- zontal) axis. Ox, and at each point of the axis erect an ordi- 6 77 78 CALCULUS.
nate, y, whose length shall indicate the value of the function at that point; a curve drawn through the tops of these ordi- nates is called the curve, or the graph, of the function.


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