Band Loads Associated with Principle Components Solution

STEP 0: Pre-Calculation Summary
Formula Used
K Band Loads with P Principle Components = Eigenvalue for Band k component P*sqrt(Pth Eigenvalue)/sqrt(Variance of Band k in Matrix)
Rkp = akp*sqrt(λp)/sqrt(Vark)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
K Band Loads with P Principle Components - (Measured in Ohm) - K Band Loads with P Principle Components refers to the resistance applied to each original band to create the principal component.
Eigenvalue for Band k component P - Eigenvalue for Band k component P is the kth value of the eigenvector matrix associated with principle component P.
Pth Eigenvalue - Pth Eigenvalue refer to the Pth eigenvalue in the ordered list of eigenvalues. Eigenvalues are often ordered in descending or ascending order based on their magnitude.
Variance of Band k in Matrix - Variance of Band k in Matrix the k-th eigenvalue represents the variance of the k-th band in the original data matrix.
STEP 1: Convert Input(s) to Base Unit
Eigenvalue for Band k component P: 0.056 --> No Conversion Required
Pth Eigenvalue: 17 --> No Conversion Required
Variance of Band k in Matrix: 23 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rkp = akp*sqrt(λp)/sqrt(Vark) --> 0.056*sqrt(17)/sqrt(23)
Evaluating ... ...
Rkp = 0.0481447094027813
STEP 3: Convert Result to Output's Unit
0.0481447094027813 Ohm --> No Conversion Required
FINAL ANSWER
0.0481447094027813 0.048145 Ohm <-- K Band Loads with P Principle Components
(Calculation completed in 00.004 seconds)

Credits

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Created by banuprakash
Dayananda Sagar College of Engineering (DSCE), Bangalore
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Heritage Insitute of technology (HITK), Kolkata
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Band Loads Associated with Principle Components Formula

K Band Loads with P Principle Components = Eigenvalue for Band k component P*sqrt(Pth Eigenvalue)/sqrt(Variance of Band k in Matrix)
Rkp = akp*sqrt(λp)/sqrt(Vark)

What is the Relationship Between PCs and Band Loads?

Band loads refer to the weights assigned to each original band in the linear combination that forms a principal component. These weights indicate the contribution of each band to the principal component.

How to Calculate Band Loads Associated with Principle Components?

Band Loads Associated with Principle Components calculator uses K Band Loads with P Principle Components = Eigenvalue for Band k component P*sqrt(Pth Eigenvalue)/sqrt(Variance of Band k in Matrix) to calculate the K Band Loads with P Principle Components, The Band Loads Associated with Principle Components formula is defined as the resistance applied to each original band k to create the principal component p. K Band Loads with P Principle Components is denoted by Rkp symbol.

How to calculate Band Loads Associated with Principle Components using this online calculator? To use this online calculator for Band Loads Associated with Principle Components, enter Eigenvalue for Band k component P (akp), Pth Eigenvalue p) & Variance of Band k in Matrix (Vark) and hit the calculate button. Here is how the Band Loads Associated with Principle Components calculation can be explained with given input values -> 0.094262 = 0.056*sqrt(17)/sqrt(23).

FAQ

What is Band Loads Associated with Principle Components?
The Band Loads Associated with Principle Components formula is defined as the resistance applied to each original band k to create the principal component p and is represented as Rkp = akp*sqrt(λp)/sqrt(Vark) or K Band Loads with P Principle Components = Eigenvalue for Band k component P*sqrt(Pth Eigenvalue)/sqrt(Variance of Band k in Matrix). Eigenvalue for Band k component P is the kth value of the eigenvector matrix associated with principle component P, Pth Eigenvalue refer to the Pth eigenvalue in the ordered list of eigenvalues. Eigenvalues are often ordered in descending or ascending order based on their magnitude & Variance of Band k in Matrix the k-th eigenvalue represents the variance of the k-th band in the original data matrix.
How to calculate Band Loads Associated with Principle Components?
The Band Loads Associated with Principle Components formula is defined as the resistance applied to each original band k to create the principal component p is calculated using K Band Loads with P Principle Components = Eigenvalue for Band k component P*sqrt(Pth Eigenvalue)/sqrt(Variance of Band k in Matrix). To calculate Band Loads Associated with Principle Components, you need Eigenvalue for Band k component P (akp), Pth Eigenvalue p) & Variance of Band k in Matrix (Vark). With our tool, you need to enter the respective value for Eigenvalue for Band k component P, Pth Eigenvalue & Variance of Band k in Matrix 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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