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Band Loads Associated with Principle Components Calculator

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Basics of Image Processing Intensity Transformation

✖Eigen Band k Component p refers to the eigenvalues or eigenvectors associated with a specific crystal momentum in a given energy band, important for electronic band structure analysis.ⓘ Eigen Band k Component P [a_kp]			+10% -10%
✖The Pth Eigenvalue refers to the pth root of a characteristic equation of a matrix, representing the scale of variance captured by the corresponding eigenvector in linear algebra.ⓘ Pth Eigenvalue [λ_p]			+10% -10%
✖Band Variance Matrix is a square matrix that holds the variances of each band's pixel values in an image, providing insights into the variability across different spectral bands.ⓘ Band Variance Matrix [Var_k]			+10% -10%

✖K Band Loads with P Principle Components refers to the resistance applied to each original band to create the principal component.ⓘ Band Loads Associated with Principle Components [R_kp]

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Formula

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Band Loads Associated with Principle Components

Formula

R kp = a kp \cdot \frac{\sqrt{λ p}}{\sqrt{Var k}}

Example

0.968246 = 0.75 \cdot \frac{\sqrt{5}}{\sqrt{3}}

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Band Loads Associated with Principle Components Solution

STEP 0: Pre-Calculation Summary

Formula Used

K Band Loads with P Principle Components = Eigen Band k Component P*sqrt(Pth Eigenvalue)/sqrt(Band Variance Matrix)
R_kp = a_kp*sqrt(λ_p)/sqrt(Var_k)
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 - K Band Loads with P Principle Components refers to the resistance applied to each original band to create the principal component.
Eigen Band k Component P - Eigen Band k Component p refers to the eigenvalues or eigenvectors associated with a specific crystal momentum in a given energy band, important for electronic band structure analysis.
Pth Eigenvalue - The Pth Eigenvalue refers to the pth root of a characteristic equation of a matrix, representing the scale of variance captured by the corresponding eigenvector in linear algebra.
Band Variance Matrix - Band Variance Matrix is a square matrix that holds the variances of each band's pixel values in an image, providing insights into the variability across different spectral bands.

STEP 1: Convert Input(s) to Base Unit

Eigen Band k Component P: 0.75 --> No Conversion Required
Pth Eigenvalue: 5 --> No Conversion Required
Band Variance Matrix: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_kp = a_kp*sqrt(λ_p)/sqrt(Var_k) --> 0.75*sqrt(5)/sqrt(3)

Evaluating ... ...

R_kp = 0.968245836551854

STEP 3: Convert Result to Output's Unit

0.968245836551854 --> No Conversion Required

FINAL ANSWER

0.968245836551854 ≈ 0.968246 <-- K Band Loads with P Principle Components

(Calculation completed in 00.004 seconds)

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Band Loads Associated with Principle Components Formula

K Band Loads with P Principle Components = Eigen Band k Component P*sqrt(Pth Eigenvalue)/sqrt(Band Variance Matrix)
R_kp = a_kp*sqrt(λ_p)/sqrt(Var_k)

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 = Eigen Band k Component P*sqrt(Pth Eigenvalue)/sqrt(Band Variance 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 R_kp 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 Eigen Band k Component P (a_kp), Pth Eigenvalue (λ_p) & Band Variance Matrix (Var_k) and hit the calculate button. Here is how the Band Loads Associated with Principle Components calculation can be explained with given input values -> 0.968246 = 0.75*sqrt(5)/sqrt(3).

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 R_kp = a_kp*sqrt(λ_p)/sqrt(Var_k) or K Band Loads with P Principle Components = Eigen Band k Component P*sqrt(Pth Eigenvalue)/sqrt(Band Variance Matrix). Eigen Band k Component p refers to the eigenvalues or eigenvectors associated with a specific crystal momentum in a given energy band, important for electronic band structure analysis, The Pth Eigenvalue refers to the pth root of a characteristic equation of a matrix, representing the scale of variance captured by the corresponding eigenvector in linear algebra & Band Variance Matrix is a square matrix that holds the variances of each band's pixel values in an image, providing insights into the variability across different spectral bands.

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 = Eigen Band k Component P*sqrt(Pth Eigenvalue)/sqrt(Band Variance Matrix). To calculate Band Loads Associated with Principle Components, you need Eigen Band k Component P (a_kp), Pth Eigenvalue (λ_p) & Band Variance Matrix (Var_k). With our tool, you need to enter the respective value for Eigen Band k Component P, Pth Eigenvalue & Band Variance 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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