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Physical oceanography at far field seafloor observatory DELOS B, off the coast of Angola, in the South East Atlantic Ocean, 2011-08-25 to 2012-05-20, deployment 5 (2014)

Smith, Ken ; Rowe, Gilbert T ; Priede, Imants G ; [et al.]

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Publication Date: 2024-02-16

Keywords: Conductivity; Conductivity sensor, Aanderaa, type 3919, SN 443; DATE/TIME; Deep-ocean Environmental Long-term Observatory System; DELOS; DELOS_B; Density, mass density; DEPTH, water; Fluorometer, WET Labs ECO FLNTURTD, SN 571; Monitoring station; MONS; Oxygen; Oxygen optode, Aanderaa, type 3830, SN 611; Oxygen saturation; Pressure, water; Pressure sensor, Aanderaa, type 4017E, SN 205; Salinity; Sound velocity in water; South Atlantic Ocean; Temperature, water; Turbidity (Nephelometric turbidity unit)

Type: Dataset

Format: text/tab-separated-values, 35030 data points

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Physical oceanography at far field seafloor observatory DELOS B, off the coast of Angola, in the South East Atlantic Ocean, 2013-09-20 to 2014-06-15, deployment 7 (2015)

Smith, Ken ; Rowe, Gilbert T ; Priede, Imants G ; [et al.]

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Publication Date: 2024-02-16

Keywords: Conductivity; Conductivity sensor, Aanderaa, type 3919, SN 443; DATE/TIME; Deep-ocean Environmental Long-term Observatory System; DELOS; DELOS_B; Density, mass density; DEPTH, water; Fluorometer, WET Labs ECO FLNTURTD, SN 571; Monitoring station; MONS; Oxygen; Oxygen optode, Aanderaa, type 3830, SN 611; Oxygen saturation; Pressure, water; Pressure sensor, Aanderaa, type 4017E, SN 205; Salinity; Sound velocity in water; South Atlantic Ocean; Temperature, water; Turbidity (Nephelometric turbidity unit)

Type: Dataset

Format: text/tab-separated-values, 35197 data points

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Numerical results on the transcendence of constants involving pi, e, and Euler's constant (1988)

Bailey, David H.

In: Other Sources

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Publication Date: 2011-08-19

Description: The existence of simple polynomial equations (integer relations) for the constants e/pi, e + pi, log pi, gamma (Euler's constant), e exp gamma, gamma/e, gamma/pi, and log gamma is investigated by means of numerical computations. The recursive form of the Ferguson-Fourcade algorithm (Ferguson and Fourcade, 1979; Ferguson, 1986 and 1987) is implemented on the Cray-2 supercomputer at NASA Ames, applying multiprecision techniques similar to those described by Bailey (1988) except that FFTs are used instead of dual-prime-modulus transforms for multiplication. It is shown that none of the constants has an integer relation of degree eight or less with coefficients of Euclidean norm 10 to the 9th or less.

Keywords: NUMERICAL ANALYSIS

Type: Mathematics of Computation (ISSN 0025-5718); 50; 275-281

Format: text

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4

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Numerical results on relations between fundamental constants using a new algorithm (1989)

Bailey, David H. ; Ferguson, Helaman R. P.

In: Other Sources

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Publication Date: 2011-08-19

Description: An efficient algorithm is described for finding whether or not certain fundamental mathematical constants satisfy simple algebraic polynomials. The algorithm, which finds whether an integer relation exists for a vector of real numbers, or else establishes bounds within which no relation can exist. The algorithm is implemented on high-speed computers, using multiprecision arithmetic. Numerical results are summarized, and other possible applications for the algorithm are discussed.

Keywords: NUMERICAL ANALYSIS

Type: Mathematics of Computation (ISSN 0025-5718); 53; 649-656

Format: text

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5

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The computation of pi to 29,360,000 decimal digits using Borweins' quartically convergent algorithm (1988)

Bailey, David H.

In: Other Sources

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Publication Date: 2011-08-19

Description: The quartically convergent numerical algorithm developed by Borwein and Borwein (1987) for 1/pi is implemented via a prime-modulus-transform multiprecision technique on the NASA Ames Cray-2 supercomputer to compute the first 2.936 x 10 to the 7th digits of the decimal expansion of pi. The history of pi computations is briefly recalled; the most recent algorithms are characterized; the implementation procedures are described; and samples of the output listing are presented. Statistical analyses show that the present decimal expansion is completely random, with only acceptable numbers of long repeating strings and single-digit runs.

Keywords: NUMERICAL ANALYSIS

Type: Mathematics of Computation (ISSN 0025-5718); 50; 283-296

Format: text

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6

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The fractional Fourier transform and applications (1991)

Bailey, David H. ; Swarztrauber, Paul N.

In: Other Sources

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Publication Date: 2019-07-12

Description: This paper describes the 'fractional Fourier transform', which admits computation by an algorithm that has complexity proportional to the fast Fourier transform algorithm. Whereas the discrete Fourier transform (DFT) is based on integral roots of unity e exp -2(pi)i/n, the fractional Fourier transform is based on fractional roots of unity e exp -2(pi)i(alpha), where alpha is arbitrary. The fractional Fourier transform and the corresponding fast algorithm are useful for such applications as computing DFTs of sequences with prime lengths, computing DFTs of sparse sequences, analyzing sequences with noninteger periodicities, performing high-resolution trigonometric interpolation, detecting lines in noisy images, and detecting signals with linearly drifting frequencies. In many cases, the resulting algorithms are faster by arbitrarily large factors than conventional techniques.

Keywords: NUMERICAL ANALYSIS

Type: SIAM Review (ISSN 0036-1445); 33; 389-404

Format: text

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