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" What were before values of x and y are thus converted into values of y and x. With the direct and inverse graphs before us the following points at once become clear : (a) Each of the direct functions is a singlevalued function of x ; that is, to every... "
The Teaching of Algebra (including Trigonometry) - 277. lappuse
autors: Sir Thomas Percy Nunn, Thomas Percy Nunn - 1914 - 616 lapas
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A College Algebra

George Albert Wentworth - 1902 - 530 lapas
...connected with x by the relation y =/(x). If /(x) is a rational integral function of a1, it is evident that to every value of x there corresponds one, and only one, value of y. COLLEGE ALGEBRA If different values of x are laid off as abscissas, and the corresponding values...
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Introduction to Infinitesimal Analysis: Functions of One Real Variable

Oswald Veblen - 1907 - 227 lapas
...number. Definition. — A variable y is said to be a single-valued junction of another variable x if to every value of x there corresponds one and only one value of y. The letter x is called the independent variable and y the dependent variable.! Definition. — A...
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A Course of Plane Geometry for Advanced Students, 1. daļa

Clement Vavasor Durell - 1910
...of the utmost importance that the reader should have " clear idea of the meaning of this property. To every value of x, there corresponds one and only one value of x', given by the homographic relation. Suppose x receives any set of values whatever, o, ft, y, S,...
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The Teaching of Algebra (including Trigonometry)

Sir Thomas Percy Nunn - 1914 - 616 lapas
...formulae the independent variable is S. We have therefore : — Direct Functions. Inverse F?mctions. y = a + bx y = (x - a)/b y = k/(x + a) + by = k/(x...linear and the inverse hyperbolic functions are also single-valued, but the inverse parabolic function is two-valued : to each value of x there correspond...
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The Teaching of Algebra (including Trigonometry)

Sir Thomas Percy Nunn - 1919 - 616 lapas
...,e-axis and then turning it in its own plane, anticlockwise, through 90°. What were before values of * and y are thus converted into values of y and x. With...linear and the inverse hyperbolic functions are also single-valued, but the inverse parabolic function is two-valued : to each value of x there correspond...
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The Encyclopedia Americana: A Library of Universal Knowledge, 23. sējums

1919
...on" its values. One variable, y, is said to be a single-valued function of another variable, x, if to every value of x there corresponds one and only one value of y. This is the case, for example, if x stands for any number and y=g*. It is customary to express such...
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The Encyclopedia Americana: A Library of Universal Knowledge, 23. sējums

1919
...on" its values. One variable, y, is said to be a single-valued function of another variable, x, if to every value of x there corresponds one and only one value of y. This is the case, for example, if x stands for any number and y =jr*. It is customary to express...
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The Americana: A Universal Reference Library, Comprising the ..., 16. sējums

Frederick Converse Beach, George Edwin Rines - 1911
...on * its values. One variable, y, is said to be a single-valued function of another variable, x, if to every value of x there corresponds one and only one value of y. This is the case, for example, if x stands for any number and y—x*. It is customary to express...
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A Course of Analysis

...y) describes the curve AB. If the functions <j> (t) and -fy (t) are both monotonic in (a, /8), then to every value of x there corresponds one and only one value of t: similarly y is a single-valued function of t, and so, on AB, y is a single- valued function of a>,...
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A course of analysis

...(x, y) describes the curve AB. If the functions $ (t) and ijr (t) are both monotonic in (a, $), then to every value of x there corresponds one and only one value of t : similarly y is a single-valued function of t, and so, on AB, y is a single-valued function of x,...
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