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Hoerls Special Function Distribution Formula

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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. Check FAQs

V R = a \cdot ({FI}^{b}) \cdot e^{c \cdot FI}

V_R - Hoerls Special Function Distribution?a - Hoerls Best-fit Coefficient a?FI - Filling Index?b - Hoerls Best-fit Coefficient b?c - Hoerls Best-fit Coefficient c?

Hoerls Special Function Distribution Example

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Here is how the Hoerls Special Function Distribution equation looks like with Values.

Here is how the Hoerls Special Function Distribution equation looks like with Units.

Here is how the Hoerls Special Function Distribution equation looks like.

0.3414 = 0.2 \cdot ({1.2}^{0.3}) \cdot e^{0.4 \cdot 1.2}

0.3414 = 0.2 \cdot ({1.2}^{0.3}) \cdot e^{0.4 \cdot 1.2}

0.3414 = 0.2 \cdot ({1.2}^{0.3}) \cdot e^{0.4 \cdot 1.2}

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Hoerls Special Function Distribution Solution

Follow our step by step solution on how to calculate Hoerls Special Function Distribution?

FIRST Step Consider the formula

V R = a \cdot ({FI}^{b}) \cdot e^{c \cdot FI}

Next Step Substitute values of Variables

∴

V R = 0.2 \cdot ({1.2}^{0.3}) \cdot e^{0.4 \cdot 1.2}

Next Step Prepare to Evaluate

∴

V R = 0.2 \cdot ({1.2}^{0.3}) \cdot e^{0.4 \cdot 1.2}

Next Step Evaluate

∴

V R = 0.341386010815934

LAST Step Rounding Answer

∴

V R = 0.3414

Hoerls Special Function Distribution Formula Elements

Variables

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.

Symbol: V_R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Hoerls Special Function Distribution

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.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Hoerls Best-fit Coefficient a

Filling Index

Filling Index values correspond to various channel depths, which allow them to be used in the “daily shoal volume” equation.

Symbol: FI

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Filling Index

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.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Hoerls Best-fit Coefficient b

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.

Symbol: c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Hoerls Best-fit Coefficient c

Other formulas in Methods to Predict Channel Shoaling category

Go Transport Ratio

t r = {(\frac{d 1}{d 2})}^{\frac{5}{2}}

Go Depth before Dredging given Transport Ratio

d 1 = d 2 \cdot {t r}^{\frac{2}{5}}

Go Depth after Dredging given Transport Ratio

d 2 = \frac{d 1}{{t r}^{\frac{2}{5}}}

Go Density of Water given Water Surface Slope

ρ = \frac{Δ \cdot τ}{β \cdot [g] \cdot h}

How to Evaluate Hoerls Special Function Distribution?

Hoerls Special Function Distribution evaluator 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 evaluate 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 evaluate Hoerls Special Function Distribution using this online evaluator? To use this online evaluator 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.

FAQs on Hoerls Special Function Distribution

What is the formula to find Hoerls Special Function Distribution?

The formula of Hoerls Special Function Distribution is expressed as Hoerls Special Function Distribution = Hoerls Best-fit Coefficient a*(Filling Index^Hoerls Best-fit Coefficient b)*e^(Hoerls Best-fit Coefficient c*Filling Index). Here is an example- 0.341386 = 0.2*(1.2^0.3)*e^(0.4*1.2).

How to calculate Hoerls Special Function Distribution?

With Hoerls Best-fit Coefficient a (a), Filling Index (FI), Hoerls Best-fit Coefficient b (b) & Hoerls Best-fit Coefficient c (c) we can find Hoerls Special Function Distribution using the formula - Hoerls Special Function Distribution = Hoerls Best-fit Coefficient a*(Filling Index^Hoerls Best-fit Coefficient b)*e^(Hoerls Best-fit Coefficient c*Filling Index).

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Hoerls Special Function Distribution Formula

Hoerls Special Function Distribution Example

Hoerls Special Function Distribution Solution

Hoerls Special Function Distribution Formula Elements

Other formulas in Methods to Predict Channel Shoaling category

How to Evaluate Hoerls Special Function Distribution?

FAQs on Hoerls Special Function Distribution

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