Definition, Betydelse & Anagram | Engelska ordet SINES

Definition av SINES

1. böjningsform av sine

Exempel på hur man kan använda SINES i en mening

• Sines and cosines form an (orthonormal) Schauder basis for square-integrable functions on a bounded domain.
• The solution to the differential equation for this type of motion can be written in terms of sines and cosines, functions which are thus referred to as harmonics.
• By expressing a function as a sum of sines and cosines, many problems involving the function become easier to analyze because trigonometric functions are well understood.
• In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
• The theorem also has a well-known generalization to spherical and hyperbolic geometry, replacing the lengths in the ratios with their sines and hyperbolic sines, respectively.
• Rounding is almost unavoidable when reporting many computations – especially when dividing two numbers in integer or fixed-point arithmetic; when computing mathematical functions such as square roots, logarithms, and sines; or when using a floating-point representation with a fixed number of significant digits.
• Like the sines and cosines in Fourier series, the spherical harmonics may be organized by (spatial) angular frequency, as seen in the rows of functions in the illustration on the right.
• In fact, Osborn's rule states that one can convert any trigonometric identity into a hyperbolic identity by expanding it completely in terms of integer powers of sines and cosines, changing sine to sinh and cosine to cosh, and switching the sign of every term which contains a product of an even number of hyperbolic sines.
• The law of tangents, although not as commonly known as the law of sines or the law of cosines, is equivalent to the law of sines, and can be used in any case where two sides and the included angle, or two angles and a side, are known.
• Using the Fourier series, just about any practical function of time (the voltage across the terminals of an electronic device for example) can be represented as a sum of sines and cosines, each suitably scaled (multiplied by a constant factor), shifted (advanced or retarded in time) and "squeezed" or "stretched" (increasing or decreasing the frequency).
• He provided tables of logarithms, sines, tangents, and secants, a two-page list of books, and an index of the articles in both volumes under 26 heads, filling 50 pages.
• In the third chapter of the Siddhanta-tattva-viveka Kamalakara used the addition and subtraction theorems for the sine and the cosine to give trigonometric formulae for the sines and cosines of double, triple, quadruple and quintuple angles.
• The hyperbolic cosine of the hypotenuse is also the product of the cosines of the angles divided by the product of their sines.
• Complex eigenvalues and eigenvectors generate solutions in the form of sines and cosines as well as exponentials.
• For example, Surya Siddhanta provides table of sines function which parallel the Hipparchian table of chords, though the Indian calculations are more accurate and detailed.
• The passage from sines and cosines to complex exponentials makes it necessary for the Fourier coefficients to be complex-valued.
• The number of sinusoids must be less than or equal to the number of data samples (counting sines and cosines of the same frequency as separate sinusoids).
• Sines and cosines for angles from 0 to π/2 radians were stored in alternate addresses to take advantage of the interleaving described above.

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