Hoerls Special Function Distribution Calculator

✖The Hoerls Best-fit Coefficient a is the solution to a modified regression equation that includes a regularization term, aiming to create a more stable model by preventing extreme coefficient values.ⓘ Hoerls Best-fit Coefficient a [a]			+10% -10%
✖Filling Index values correspond to various channel depths, which allow them to be used in the “daily shoal volume” equation.ⓘ Filling Index [FI]			+10% -10%
✖The Hoerls best-fit Coefficient b is the solution to a modified regression equation that includes a regularization term, aiming to create a more stable model by preventing extreme coefficient values.ⓘ Hoerls Best-fit Coefficient b [b]			+10% -10%
✖Hoerls Best-fit Coefficient c is the solution to a modified regression equation that includes a regularization term, aiming to create a more stable model by preventing extreme coefficient values.ⓘ Hoerls Best-fit Coefficient c [c]			+10% -10%

✖Hoerls Special Function Distribution is a specific type of distribution used for certain calculations and involves a modified regression equation that includes a regularization term.ⓘ Hoerls Special Function Distribution [V_R]

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Hoerls Special Function Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hoerls Special Function Distribution = Hoerls Best-fit Coefficient a*(Filling Index^Hoerls Best-fit Coefficient b)*e^(Hoerls Best-fit Coefficient c*Filling Index)
V_R = a*(FI^b)*e^(c*FI)
This formula uses 1 Constants, 5 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Hoerls Special Function Distribution - Hoerls Special Function Distribution is a specific type of distribution used for certain calculations and involves a modified regression equation that includes a regularization term.
Hoerls Best-fit Coefficient a - The Hoerls Best-fit Coefficient a is the solution to a modified regression equation that includes a regularization term, aiming to create a more stable model by preventing extreme coefficient values.
Filling Index - Filling Index values correspond to various channel depths, which allow them to be used in the “daily shoal volume” equation.
Hoerls Best-fit Coefficient b - The Hoerls best-fit Coefficient b is the solution to a modified regression equation that includes a regularization term, aiming to create a more stable model by preventing extreme coefficient values.
Hoerls Best-fit Coefficient c - Hoerls Best-fit Coefficient c is the solution to a modified regression equation that includes a regularization term, aiming to create a more stable model by preventing extreme coefficient values.

STEP 1: Convert Input(s) to Base Unit

Hoerls Best-fit Coefficient a: 0.2 --> No Conversion Required
Filling Index: 1.2 --> No Conversion Required
Hoerls Best-fit Coefficient b: 0.3 --> No Conversion Required
Hoerls Best-fit Coefficient c: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_R = a*(FI^b)*e^(c*FI) --> 0.2*(1.2^0.3)*e^(0.4*1.2)

Evaluating ... ...

V_R = 0.341386010815934

STEP 3: Convert Result to Output's Unit

0.341386010815934 --> No Conversion Required

FINAL ANSWER

0.341386010815934 ≈ 0.341386 <-- Hoerls Special Function Distribution

(Calculation completed in 00.004 seconds)

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< Methods to Predict Channel Shoaling Calculators

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Hoerls Special Function Distribution Formula

LaTeX Go

Hoerls Special Function Distribution = Hoerls Best-fit Coefficient a*(Filling Index^Hoerls Best-fit Coefficient b)*e^(Hoerls Best-fit Coefficient c*Filling Index)
V_R = a*(FI^b)*e^(c*FI)

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How to Calculate Hoerls Special Function Distribution?

Hoerls Special Function Distribution calculator uses Hoerls Special Function Distribution = Hoerls Best-fit Coefficient a*(Filling Index^Hoerls Best-fit Coefficient b)*e^(Hoerls Best-fit Coefficient c*Filling Index) to calculate the Hoerls Special Function Distribution, The Hoerls Special Function Distribution formula is defined as the tests of several regression equations and related curves revealed that the best fit of the data from the four inlets was attained by a “Hoerls” special function distribution, given in general form. Hoerls Special Function Distribution is denoted by V_R symbol.

How to calculate Hoerls Special Function Distribution using this online calculator? To use this online calculator for Hoerls Special Function Distribution, enter Hoerls Best-fit Coefficient a (a), Filling Index (FI), Hoerls Best-fit Coefficient b (b) & Hoerls Best-fit Coefficient c (c) and hit the calculate button. Here is how the Hoerls Special Function Distribution calculation can be explained with given input values -> 0.341386 = 0.2*(1.2^0.3)*e^(0.4*1.2).

FAQ

What is Hoerls Special Function Distribution?

The Hoerls Special Function Distribution formula is defined as the tests of several regression equations and related curves revealed that the best fit of the data from the four inlets was attained by a “Hoerls” special function distribution, given in general form and is represented as V_R = a*(FI^b)*e^(c*FI) or Hoerls Special Function Distribution = Hoerls Best-fit Coefficient a*(Filling Index^Hoerls Best-fit Coefficient b)*e^(Hoerls Best-fit Coefficient c*Filling Index). The Hoerls Best-fit Coefficient a is the solution to a modified regression equation that includes a regularization term, aiming to create a more stable model by preventing extreme coefficient values, Filling Index values correspond to various channel depths, which allow them to be used in the “daily shoal volume” equation, The Hoerls best-fit Coefficient b is the solution to a modified regression equation that includes a regularization term, aiming to create a more stable model by preventing extreme coefficient values & Hoerls Best-fit Coefficient c is the solution to a modified regression equation that includes a regularization term, aiming to create a more stable model by preventing extreme coefficient values.

How to calculate Hoerls Special Function Distribution?

The Hoerls Special Function Distribution formula is defined as the tests of several regression equations and related curves revealed that the best fit of the data from the four inlets was attained by a “Hoerls” special function distribution, given in general form is calculated using Hoerls Special Function Distribution = Hoerls Best-fit Coefficient a*(Filling Index^Hoerls Best-fit Coefficient b)*e^(Hoerls Best-fit Coefficient c*Filling Index). To calculate Hoerls Special Function Distribution, you need Hoerls Best-fit Coefficient a (a), Filling Index (FI), Hoerls Best-fit Coefficient b (b) & Hoerls Best-fit Coefficient c (c). With our tool, you need to enter the respective value for Hoerls Best-fit Coefficient a, Filling Index, Hoerls Best-fit Coefficient b & Hoerls Best-fit Coefficient c 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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