MathConstants

Library "MathConstants"
Mathematical Constants

E() The number e

Log2E() The number log[2](e)

Log10E() The number log[10](e)

Ln2() The number log[e](2)

Ln10() The number log[e](10)

LnPi() The number log[e](pi)

Ln2PiOver2() The number log[e](2*pi)/2

InvE() The number 1/e

SqrtE() The number sqrt(e)

Sqrt2() The number sqrt(2)

Sqrt3() The number sqrt(3)

Sqrt1Over2() The number sqrt(1/2) = 1/sqrt(2) = sqrt(2)/2

HalfSqrt3() The number sqrt(3)/2

Pi() The number pi

Pi2() The number pi*2

PiOver2() The number pi/2

Pi3Over2() The number pi*3/2

PiOver4() The number pi/4

SqrtPi() The number sqrt(pi)

Sqrt2Pi() The number sqrt(2pi)

SqrtPiOver2() The number sqrt(pi/2)

Sqrt2PiE() The number sqrt(2*pi*e)

LogSqrt2Pi() The number log(sqrt(2*pi))

LogSqrt2PiE() The number log(sqrt(2*pi*e))

LogTwoSqrtEOverPi() The number log(2 * sqrt(e / pi))

InvPi() The number 1/pi

TwoInvPi() The number 2/pi

InvSqrtPi() The number 1/sqrt(pi)

InvSqrt2Pi() The number 1/sqrt(2pi)

TwoInvSqrtPi() The number 2/sqrt(pi)

TwoSqrtEOverPi() The number 2 * sqrt(e / pi)

Degree() The number (pi)/180 - factor to convert from Degree (deg) to Radians (rad).

Grad() The number (pi)/200 - factor to convert from NewGrad (grad) to Radians (rad).

PowerDecibel() The number ln(10)/20 - factor to convert from Power Decibel (dB) to Neper (Np). Use this version when the Decibel represent a power gain but the compared values are not powers (e.g. amplitude, current, voltage).

NeutralDecibel() The number ln(10)/10 - factor to convert from Neutral Decibel (dB) to Neper (Np). Use this version when either both or neither of the Decibel and the compared values represent powers.

Catalan() The Catalan constant
Sum(k=0 -> inf){ (-1)^k/(2*k + 1)2 }

EulerMascheroni() The Euler-Mascheroni constant
lim(n -> inf){ Sum(k=1 -> n) { 1/k - log(n) } }

GoldenRatio() The number (1+sqrt(5))/2, also known as the golden ratio

Glaisher() The Glaisher constant
e^(1/12 - Zeta(-1))

Khinchin() The Khinchin constant
prod(k=1 -> inf){1+1/(k*(k+2))^log(k,2)}

Release Notes

v2 Update to V6, improved documentation a bit.

5 days ago

Release Notes

v3 - Now variables are exported as constants (not functions), updated descriptions and added a table to display the variable list.

2 days ago

Release Notes

v4 added SilverRatio, SuperGoldenRatio and KeplerBouwkamp constants, updated the description of some variables.

Pine library

In true TradingView spirit, the author has published this Pine code as an open-source library so that other Pine programmers from our community can reuse it. Cheers to the author! You may use this library privately or in other open-source publications, but reuse of this code in publications is governed by House Rules.

RicardoSantos

Disclaimer

The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.

Pine library

RicardoSantos