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- Trigonometric_tables abstract "In mathematics, tables of trigonometric functions are useful in a number of areas. Before the existence of pocket calculators, trigonometric tables were essential for navigation, science and engineering. The calculation of mathematical tables was an important area of study, which led to the development of the first mechanical computing devices.Modern computers and pocket calculators now generate trigonometric function values on demand, using special libraries of mathematical code. Often, these libraries use pre-calculated tables internally, and compute the required value by using an appropriate interpolation method. Interpolation of simple look-up tables of trigonometric functions is still used in computer graphics, where only modest accuracy may be required and speed is often paramount.Another important application of trigonometric tables and generation schemes is for fast Fourier transform (FFT) algorithms, where the same trigonometric function values (called twiddle factors) must be evaluated many times in a given transform, especially in the common case where many transforms of the same size are computed. In this case, calling generic library routines every time is unacceptably slow. One option is to call the library routines once, to build up a table of those trigonometric values that will be needed, but this requires significant memory to store the table. The other possibility, since a regular sequence of values is required, is to use a recurrence formula to compute the trigonometric values on the fly. Significant research has been devoted to finding accurate, stable recurrence schemes in order to preserve the accuracy of the FFT (which is very sensitive to trigonometric errors).".
- Trigonometric_tables thumbnail Bernegger_Manuale_137.jpg?width=300.
- Trigonometric_tables wikiPageExternalLink 321941.321944.
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- Trigonometric_tables wikiPageRevisionID "704873425".
- Trigonometric_tables wikiPageWikiLink Algebraic_number.
- Trigonometric_tables wikiPageWikiLink Almagest.
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- Trigonometric_tables wikiPageWikiLink Binary_multiplier.
- Trigonometric_tables wikiPageWikiLink CORDIC.
- Trigonometric_tables wikiPageWikiLink Calculator.
- Trigonometric_tables wikiPageWikiLink Category:Numerical_analysis.
- Trigonometric_tables wikiPageWikiLink Category:Trigonometry.
- Trigonometric_tables wikiPageWikiLink Complex_number.
- Trigonometric_tables wikiPageWikiLink Complex_plane.
- Trigonometric_tables wikiPageWikiLink Computer_graphics.
- Trigonometric_tables wikiPageWikiLink Computer_hardware.
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- Trigonometric_tables wikiPageWikiLink Degree_of_a_polynomial.
- Trigonometric_tables wikiPageWikiLink Differential_equation.
- Trigonometric_tables wikiPageWikiLink Elliptic_integral.
- Trigonometric_tables wikiPageWikiLink Engineering.
- Trigonometric_tables wikiPageWikiLink Eulers_formula.
- Trigonometric_tables wikiPageWikiLink Fast_Fourier_transform.
- Trigonometric_tables wikiPageWikiLink Floating_point.
- Trigonometric_tables wikiPageWikiLink Gals_accurate_tables.
- Trigonometric_tables wikiPageWikiLink History_of_computing.
- Trigonometric_tables wikiPageWikiLink Laurent_series.
- Trigonometric_tables wikiPageWikiLink List_of_trigonometric_identities.
- Trigonometric_tables wikiPageWikiLink Madhavas_sine_table.
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- Trigonometric_tables wikiPageWikiLink Mathematics.
- Trigonometric_tables wikiPageWikiLink Navigation.
- Trigonometric_tables wikiPageWikiLink Newtons_method.
- Trigonometric_tables wikiPageWikiLink Numerical_analysis.
- Trigonometric_tables wikiPageWikiLink Numerical_methods_for_ordinary_differential_equations.
- Trigonometric_tables wikiPageWikiLink Padé_approximant.
- Trigonometric_tables wikiPageWikiLink Pi.
- Trigonometric_tables wikiPageWikiLink Polynomial.
- Trigonometric_tables wikiPageWikiLink Ptolemy.
- Trigonometric_tables wikiPageWikiLink Ptolemys_table_of_chords.
- Trigonometric_tables wikiPageWikiLink Rational_function.
- Trigonometric_tables wikiPageWikiLink Rational_number.
- Trigonometric_tables wikiPageWikiLink Root_of_unity.
- Trigonometric_tables wikiPageWikiLink Science.
- Trigonometric_tables wikiPageWikiLink Shift_operator.
- Trigonometric_tables wikiPageWikiLink Sine.
- Trigonometric_tables wikiPageWikiLink Taylor_series.
- Trigonometric_tables wikiPageWikiLink Transcendental_number.
- Trigonometric_tables wikiPageWikiLink Trigonometric_constants_expressed_in_real_radicals.
- Trigonometric_tables wikiPageWikiLink Trigonometric_functions.
- Trigonometric_tables wikiPageWikiLink Versine.
- Trigonometric_tables wikiPageWikiLink xc4x80ryabhaxe1xb9xadas_sine_table.
- Trigonometric_tables wikiPageWikiLink File:Bernegger_Manuale_137.jpg.
- Trigonometric_tables wikiPageWikiLinkText "Trigonometric tables".
- Trigonometric_tables wikiPageWikiLinkText "sine table".
- Trigonometric_tables wikiPageWikiLinkText "sinus tables".
- Trigonometric_tables wikiPageWikiLinkText "tables of sine values".
- Trigonometric_tables wikiPageWikiLinkText "trigonometric tables".
- Trigonometric_tables wikiPageUsesTemplate Template:Reflist.
- Trigonometric_tables wikiPageUsesTemplate Template:Trigonometry.
- Trigonometric_tables subject Category:Numerical_analysis.
- Trigonometric_tables subject Category:Trigonometry.
- Trigonometric_tables type Algorithm.
- Trigonometric_tables comment "In mathematics, tables of trigonometric functions are useful in a number of areas. Before the existence of pocket calculators, trigonometric tables were essential for navigation, science and engineering. The calculation of mathematical tables was an important area of study, which led to the development of the first mechanical computing devices.Modern computers and pocket calculators now generate trigonometric function values on demand, using special libraries of mathematical code.".
- Trigonometric_tables label "Trigonometric tables".
- Trigonometric_tables sameAs Q787322.
- Trigonometric_tables sameAs جداول_مثلثية.
- Trigonometric_tables sameAs Construcció_de_les_taules_trigonomètriques.
- Trigonometric_tables sameAs جدولهای_مثلثات.
- Trigonometric_tables sameAs Construction_des_tables_trigonométriques.
- Trigonometric_tables sameAs Tavola_trigonometrica.
- Trigonometric_tables sameAs m.013b4z.
- Trigonometric_tables sameAs Trigonometrisk_tabell.
- Trigonometric_tables sameAs Q787322.
- Trigonometric_tables wasDerivedFrom Trigonometric_tables?oldid=704873425.
- Trigonometric_tables depiction Bernegger_Manuale_137.jpg.
- Trigonometric_tables isPrimaryTopicOf Trigonometric_tables.