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/TK))+((1-A)*log10(1/(TK-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/TK))+((1-A)*log10(1/(TK-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)

Credits

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Created by Sangita Kalita
National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur
Sangita Kalita has created this Calculator and 50+ more calculators!
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Verified by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
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Spectrochemistry Calculators

Kaiser Transform
​ LaTeX ​ 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)))
Scheibe-Lomakin Equation
​ LaTeX ​ Go Intensity of Spectral Line = Proportionality Constant of Schiebe Lomakin*(Concentration of Element for Scheibe Lomakin^Proportionality Deviation of Schiebe Lomakin)
Relative Exposure
​ LaTeX ​ Go Relative Exposure = 10^((Slope for Relative Exposure*Kaiser Transform)+Intercept for Relative Exposure)
Partial Pressure in Column Arc
​ LaTeX ​ Go Partial Pressure in Arc Column = 1.3625*(10^22)*Temperature in Arc Column*Electron Density in Arc Column

Kaiser Transform Formula

​LaTeX ​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)))
K = (A*log10(1/TK))+((1-A)*log10(1/(TK-1)))

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 (TK) 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/TK))+((1-A)*log10(1/(TK-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 (TK). 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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