Kaiser Transform Calculator

✖The Constant for Kaiser Transform may be estimated from an equation given by Kaiser.ⓘ Constant for Kaiser Transform [A]			+10% -10%
✖The Transmittance for Kaiser Transform is a ratio of intensity.ⓘ Transmittance for Kaiser Transform [T_K]			+10% -10%

✖Kaiser Transform is the linearizing transform of the transmittance.ⓘ Kaiser Transform [K]

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Formula

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Kaiser Transform

Formula

`"K" = ("A"*log10(1/"T"_{"K"}))+((1-"A")*log10(1/("T"_{"K"}-1)))`

Example

`"-0.494613"=("0.14"*log10(1/"4"))+((1-"0.14")*log10(1/("4"-1)))`

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Kaiser Transform Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kaiser Transform = (Constant for Kaiser Transform*log10(1/Transmittance for Kaiser Transform))+((1-Constant for Kaiser Transform)*log10(1/(Transmittance for Kaiser Transform-1)))
K = (A*log10(1/T_K))+((1-A)*log10(1/(T_K-1)))
This formula uses 1 Functions, 3 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Kaiser Transform - Kaiser Transform is the linearizing transform of the transmittance.
Constant for Kaiser Transform - The Constant for Kaiser Transform may be estimated from an equation given by Kaiser.
Transmittance for Kaiser Transform - The Transmittance for Kaiser Transform is a ratio of intensity.

STEP 1: Convert Input(s) to Base Unit

Constant for Kaiser Transform: 0.14 --> No Conversion Required
Transmittance for Kaiser Transform: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (A*log10(1/T_K))+((1-A)*log10(1/(T_K-1))) --> (0.14*log10(1/4))+((1-0.14)*log10(1/(4-1)))

Evaluating ... ...

K = -0.494612677844824

STEP 3: Convert Result to Output's Unit

-0.494612677844824 --> No Conversion Required

FINAL ANSWER

-0.494612677844824 ≈ -0.494613 <-- Kaiser Transform

(Calculation completed in 00.004 seconds)

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Created by Sangita Kalita

National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur

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Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

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< 9 Spectrochemistry Calculators

Kaiser Transform

Go Kaiser Transform = (Constant for Kaiser Transform*log10(1/Transmittance for Kaiser Transform))+((1-Constant for Kaiser Transform)*log10(1/(Transmittance for Kaiser Transform-1)))

Absolute Intensity of Atom Line

Go Absolute Intensity of Atom Line = (Gaseous Layer Thickness/(4*pi))*Transition Probability*Neutral Atoms Density*[hP]*Spectral Line Frequency

Scheibe-Lomakin Equation

Go Intensity of Spectral Line = Proportionality Constant of Schiebe Lomakin*(Concentration of Element for Scheibe Lomakin^Proportionality Deviation of Schiebe Lomakin)

Relative Radiant Intensity of Atom Line

Go Radiant Intensity = (Gaseous Layer Thickness/(4*pi))*Transition Number*[hP]*Spectral Line Frequency

Solid Angle for Radiance

Go Solid Angle for Radiance = (Surface Area for Radiance*cos(Angle for Radiance))/(Distance for Radiance^2)

Relative Exposure

Go Relative Exposure = 10^((Slope for Relative Exposure*Kaiser Transform)+Intercept for Relative Exposure)

Partial Pressure in Column Arc

Go Partial Pressure in Arc Column = 1.3625*(10^22)*Temperature in Arc Column*Electron Density in Arc Column

Classical Damping Constant of Oscillator

Go Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3))

Radiant Flux

Go Radiant Flux = Radiant Intensity*Solid Angle for Radiance

Kaiser Transform Formula

What concept is Kaiser Transform based on?

The program is based on the concept that a function of the transmittance readings could be found for which a plot of the logarithm of the relative exposure vs the function of the transmittance would be linear.

How to Calculate Kaiser Transform?

Kaiser Transform calculator uses Kaiser Transform = (Constant for Kaiser Transform*log10(1/Transmittance for Kaiser Transform))+((1-Constant for Kaiser Transform)*log10(1/(Transmittance for Kaiser Transform-1))) to calculate the Kaiser Transform, The Kaiser Transform formula is defined as linearizing transform of the transmittance T. Linear transformations extend or shrink the variables in a constant, uniform degree. Kaiser Transform is denoted by K symbol.

How to calculate Kaiser Transform using this online calculator? To use this online calculator for Kaiser Transform, enter Constant for Kaiser Transform (A) & Transmittance for Kaiser Transform (T_K) and hit the calculate button. Here is how the Kaiser Transform calculation can be explained with given input values -> -0.494613 = (0.14*log10(1/4))+((1-0.14)*log10(1/(4-1))).

FAQ

What is Kaiser Transform?

The Kaiser Transform formula is defined as linearizing transform of the transmittance T. Linear transformations extend or shrink the variables in a constant, uniform degree and is represented as K = (A*log10(1/T_K))+((1-A)*log10(1/(T_K-1))) or Kaiser Transform = (Constant for Kaiser Transform*log10(1/Transmittance for Kaiser Transform))+((1-Constant for Kaiser Transform)*log10(1/(Transmittance for Kaiser Transform-1))). The Constant for Kaiser Transform may be estimated from an equation given by Kaiser & The Transmittance for Kaiser Transform is a ratio of intensity.

How to calculate Kaiser Transform?

The Kaiser Transform formula is defined as linearizing transform of the transmittance T. Linear transformations extend or shrink the variables in a constant, uniform degree is calculated using Kaiser Transform = (Constant for Kaiser Transform*log10(1/Transmittance for Kaiser Transform))+((1-Constant for Kaiser Transform)*log10(1/(Transmittance for Kaiser Transform-1))). To calculate Kaiser Transform, you need Constant for Kaiser Transform (A) & Transmittance for Kaiser Transform (T_K). With our tool, you need to enter the respective value for Constant for Kaiser Transform & Transmittance for Kaiser Transform and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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