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]

⎘ Copy

👎

Formula

✖

Hoerls Special Function Distribution

Formula

`"V"_{"R"} = "a"*("FI"^"b")*e^("c"*"FI")`

Example

`"0.341386"="0.2"*(("1.2")^"0.3")*e^("0.4"*"1.2")`

Calculator

LaTeX

Reset

👍

Download Methods to Predict Channel Shoaling Formulas PDF PDF Image

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)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Methods to Predict Channel Shoaling » Hoerls Special Function Distribution

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 14 Methods to Predict Channel Shoaling Calculators

Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions

Go Change in Mean Ebb Tide Flow Energy Flux = ((4*Tidal Period)/(3*pi))*Maximum Instantaneous Ebb Tide Discharge^3*((Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2)/(Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2))

Maximum Instantaneous Ebb Tide Discharge per Unit Width

Go Maximum Instantaneous Ebb Tide Discharge = (Change in Mean Ebb Tide Flow Energy Flux*(3*pi*Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)/(4*Tidal Period*(Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2)))^(1/3)

Tidal Period given Change of Ebb Tidal Energy Flux across Ocean Bar

Go Tidal Period = Change in Mean Ebb Tide Flow Energy Flux*(3*pi*Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)/(4*Maximum Instantaneous Ebb Tide Discharge^3*(Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2))

Hoerls Special Function Distribution

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)

Density of Water given Water Surface Slope

Go Density of Water = (Coefficient Eckman*Shear Stress at the Water Surface)/(Water Surface Slope*[g]*Eckman Constant Depth)

Water Surface Slope

Go Water Surface Slope = (Coefficient Eckman*Shear Stress at the Water Surface)/(Density of Water*[g]*Eckman Constant Depth)

Shear Stress at Water Surface given Water Surface Slope

Go Shear Stress at the Water Surface = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Coefficient Eckman

Coefficient given Water Surface Slope by Eckman

Go Coefficient Eckman = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Shear Stress at the Water Surface

Ratio of Depth of Channel to Depth at which Seaward Slope of Ocean Bar Meets Sea Bottom

Go Depth Ratio = (Depth of Navigation Channel-Natural Depth of Ocean Bar)/(Water Depth between Sea Tip and Offshore Bottom-Natural Depth of Ocean Bar)

Water Depth where Seaward Tip of Ocean Bar meets Offshore Sea Bottom

Go Water Depth between Sea Tip and Offshore Bottom = ((Depth of Navigation Channel-Natural Depth of Ocean Bar)/Depth Ratio)+Natural Depth of Ocean Bar

Depth of Navigation Channel given Depth of Channel to depth at which Ocean Bar meets Sea Bottom

Go Depth of Navigation Channel = Depth Ratio*(Water Depth between Sea Tip and Offshore Bottom-Natural Depth of Ocean Bar)+Natural Depth of Ocean Bar

Transport Ratio

Go Transport Ratio = (Depth before Dredging/Depth after Dredging)^(5/2)

Depth before Dredging given Transport Ratio

Go Depth before Dredging = Depth after Dredging*Transport Ratio^(2/5)

Depth after Dredging given Transport Ratio

Go Depth after Dredging = Depth before Dredging/Transport Ratio^(2/5)

Hoerls Special Function Distribution 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)
V_R = a*(FI^b)*e^(c*FI)

What is Ocean Dynamics?

The Ocean Dynamics define and describe the motion of water within the oceans. Ocean temperature and motion fields can be separated into three distinct layers: mixed (surface) layer, upper ocean (above the thermocline), and deep ocean. Ocean dynamics has traditionally been investigated by sampling from instruments in situ.

What is Dredging?

Dredging is the act of removing silt and other material from the bottom of bodies of water. It is a routine necessity in waterways around the world because sedimentation—the natural process of sand and silt washing downstream—gradually fills channels and harbors.

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.

Home

FREE PDFs

🔍 Search