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It is unknown whether these constants are transcendental in general, but Γ( 1 / 3 ) and Γ( 1 / 4 ) were shown to be transcendental by G. V. Chudnovsky. Γ( 1 / 4 ) / 4 √ π has also long been known to be transcendental, and Yuri Nesterenko proved in 1996 that Γ( 1 / 4 ), π, and e π are algebraically independent.
Softness imperception, a term coined by Mary Florentine around 2002, [8] proposes that some listeners with sensorineural hearing loss may exhibit a normal rate of loudness growth, but instead have an elevated loudness at their threshold. That is, the softest sound that is audible to these listeners is louder than the softest sound audible to ...
NIOSH also recommends a 3 dBA exchange rate so that every increase by 3 dBA doubles the amount of the noise and halves the recommended amount of exposure time. [31] The United States Department of Defense (DoD) instruction 605512 has some differences from OSHA 1910.95 standard, for example, OSHA 1910.95 uses a 5 dB exchange rate and DoD ...
Pink noise spectrum. Power density falls off at 10 dB/decade (−3.01 dB/octave). The frequency spectrum of pink noise is linear in logarithmic scale; it has equal power in bands that are proportionally wide. [4] This means that pink noise would have equal power in the frequency range from 40 to 60 Hz as in the band from 4000 to 6000 Hz.
The only one on the positive real axis is the unique minimum of the real-valued gamma function on R + at x 0 = 1.461 632 144 968 362 341 26.... All others occur single between the poles on the negative axis: x 1 = −0.504 083 008 264 455 409 25... x 2 = −1.573 498 473 162 390 458 77... x 3 = −2.610 720 868 444 144 650 00... x 4 = −3.635 ...
Such a process is said to be white noise in the strongest sense if the value () for any time is a random variable that is statistically independent of its entire history before . A weaker definition requires independence only between the values w ( t 1 ) {\displaystyle w(t_{1})} and w ( t 2 ) {\displaystyle w(t_{2})} at every pair of distinct ...
While the audio profile of Bloop does resemble that of a living creature, [4] the source was a mystery both because it was different from known sounds and because it was several times louder than the loudest recorded animal, the blue whale. [5] The NOAA Vents Program has attributed Bloop to a large icequake. Numerous icequakes share similar ...
[4] The gamma distribution is the maximum entropy probability distribution (both with respect to a uniform base measure and a / base measure) for a random variable X for which E[X] = αθ = α/λ is fixed and greater than zero, and E[ln X] = ψ(α) + ln θ = ψ(α) − ln λ is fixed (ψ is the digamma function). [5]