| Napier also found exponential expressions for trigonometric functions, and introduced the decimal notation for fractions. |
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| He gave an example of a trigonometric series which diverged at every point, yet its coefficients tended to zero. |
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| Brown's formulae involved some 1,650 trigonometric terms, many of them with variable coefficients. |
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| Many of the Arabic mathematicians produced tables of trigonometric functions as part of their studies of astronomy. |
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| It handles general math functions, exponential and logarithmic functions, and trigonometric functions. |
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| The spreadsheet is well-featured and supports scientific, trigonometric and financial functions, as well as logic operators. |
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| He considers problems of indeterminate equations of the first degree and trigonometric formulas. |
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| As Eisenstein shows, his method for constructing elliptic functions applies beautifully to the simpler case of trigonometric functions. |
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| The following year he published in Crelle's Journal a paper giving results about trigonometric formulas on surfaces of constant curvature. |
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| Vega wrote on artillery but he is best remembered for his tables of logarithms and trigonometric functions. |
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| The tables of logarithms which he published included logarithms of trigonometric functions for use by astronomers. |
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| He also gave an example of a trigonometric series which converged in one interval but diverged in a second interval. |
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| The radian measure makes many trigonometric equations simpler and so it is the preferred unit of measuring angles in mathematics. |
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| An approximate numerical solution was then found by interpolation in trigonometric tables. |
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| From this he was able to prove that if a function was representable by a trigonometric series then this series is necessarily its Fourier series. |
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| The sinh, cosh, and tanh subroutines compute the hyperbolic trigonometric functions of their parameters. |
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| He summed series, and discovered addition theorems for trigonometric and hyperbolic functions using the differential equations they satisfy. |
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| The inputs can be assigned and combined as desired with mathematical, trigonometric or statistical formulas. |
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| It supports trigonometric functions, logarithm and antilogarithm. |
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| The necessary background mathematical tools are then introduced such as the arithmetical operations on sexagesimal fractions and the trigonometric functions. |
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| This extremely general applicability of the idea of sine waves results in trigonometric functions turning up everywhere you look in physics. |
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| These two variables are factors in the main trigonometric formulas to come. |
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| Distances to stars were first determined by the technique of trigonometric parallax, a method still used for nearby stars. |
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| Additional technical benefit provides the integrated measing system for the precise recording of the trigonometric position. |
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| The whole of the Earth except Antarctica has now been mapped, i. e. charted with geodetic grid lines and trigonometric points. |
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| In this section we use one important application of trigonometric functions: calculating the dimensions of a triangle. |
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| For example, trigonometric ratios are used to describe the relationship of angles and sides in a right-angled triangle. |
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| His work on applying trigonometric methods to astronomical problems led him to note correctly that comets displayed a proper motion against the background stars. |
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| In his dissertation, Riemann studied the representability of functions by trigonometric series and gave the conditions for a function to have an integral. |
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| Cantor published a paper on trigonometric series in 1872 in which he defined irrational numbers in terms of convergent sequences of rational numbers. |
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| However after this the centre of activity moved to France where a national survey based on a mathematical approach to trigonometric surveying led the way. |
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| It was also in Berlin that he discovered the famous Euler's Identity giving the value of the exponential function in terms of the trigonometric functions sine and cosine. |
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| You can use mathematical and trigonometric formulas, as well as logical conditions, to combine individual measured values or measurement sequences with each other, and so create complex calculations. |
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| They may use trigonometric functions to calculate angles of intersection and to establish points on curved surfaces and the dimensions of structural design features such as offsets, spirals and ovals. |
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| This early transcendental version treats exponential, logarithmic, and inverse trigonometric functions in chapter three. |
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| The Greek's basic trigonometric function was the ratio of a circle's chord subtending twice a given angle to the circle's radius. |
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| If you have trouble remembering all the trigonometric identities, the book has a cheat sheet in back that lists them. |
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| However, this free version does some basic operations, trigonometric functions, a unit converter, constants, and finds perimeters, areas, and volumes of geometric objects. |
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| The most known periodic functions are trigonometric function, such as sine function. |
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| A schematic arrangement of city names and trigonometric data help the user to establish the orientation of the Ka'ba in Mecca and thus the direction of prayer. |
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| Besides conversions, the tool calculates percentages, square roots, Roman numerals, remainders after division, factorials, trigonometric functions, logarithm bases and more. |
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| Right and skew-right circulant matrices remains invariant on their type when evaluated on trigonometric and hyperbolic functions that are used in this paper. |
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