Mathematics category

Calculus calculators

Rates of change, accumulation, limits and numerical approximation.

377 calculators in this category. Page 3 of 8.

derivativesintegralsnumerical methods
Calculus

Implicit-Function Sensitivity Magnitude: solve partial derivative magnitude in input direction

Rearrange the implicit-function sensitivity magnitude relationship and solve for partial derivative magnitude in input direction.

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Calculus

Implicit-Function Sensitivity Magnitude: solve nonzero partial derivative magnitude in output direction

Rearrange the implicit-function sensitivity magnitude relationship and solve for nonzero partial derivative magnitude in output direction.

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Calculus

Trapezoidal Mean Ordinate

Calculate mean ordinate from left endpoint value and right endpoint value.

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Calculus

Trapezoidal Mean Ordinate: solve left endpoint value

Rearrange the trapezoidal mean ordinate relationship and solve for left endpoint value.

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Calculus

Trapezoidal Mean Ordinate: solve right endpoint value

Rearrange the trapezoidal mean ordinate relationship and solve for right endpoint value.

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Calculus

Polar Sector Area from Radian Angle

Calculate sector area from angle in radians and radius.

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Calculus

Polar Sector Area from Radian Angle: solve angle in radians

Rearrange the polar sector area from radian angle relationship and solve for angle in radians.

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Calculus

Polar Sector Area from Radian Angle: solve radius

Rearrange the polar sector area from radian angle relationship and solve for radius.

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Calculus

Finite-Volume Face Flux Contribution

Calculate integrated face flux from normal flux density and face measure.

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Calculus

Finite-Volume Face Flux Contribution: solve normal flux density

Rearrange the finite-volume face flux contribution relationship and solve for normal flux density.

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Calculus

Finite-Volume Face Flux Contribution: solve face measure

Rearrange the finite-volume face flux contribution relationship and solve for face measure.

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Calculus

Forward Euler State Update

Calculate next state value from current state value and computed euler increment.

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Calculus

Forward Euler State Update: solve current state value

Rearrange the forward euler state update relationship and solve for current state value.

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Calculus

Forward Euler State Update: solve computed Euler increment

Rearrange the forward euler state update relationship and solve for computed euler increment.

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Calculus

Gradient Descent Parameter Update

Calculate updated parameter from current parameter and learning-rate gradient step.

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Calculus

Gradient Descent Parameter Update: solve current parameter

Rearrange the gradient descent parameter update relationship and solve for current parameter.

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Calculus

Gradient Descent Parameter Update: solve learning-rate gradient step

Rearrange the gradient descent parameter update relationship and solve for learning-rate gradient step.

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Calculus

Total-Derivative Chain Contribution

Calculate chain contribution from partial derivative and input rate of change.

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Calculus

Total-Derivative Chain Contribution: solve partial derivative

Rearrange the total-derivative chain contribution relationship and solve for partial derivative.

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Calculus

Total-Derivative Chain Contribution: solve input rate of change

Rearrange the total-derivative chain contribution relationship and solve for input rate of change.

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Calculus

Two-Direction Divergence

Calculate two-dimensional divergence from first directional partial derivative and second directional partial derivative.

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Calculus

Two-Direction Divergence: solve first directional partial derivative

Rearrange the two-direction divergence relationship and solve for first directional partial derivative.

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Calculus

Two-Direction Divergence: solve second directional partial derivative

Rearrange the two-direction divergence relationship and solve for second directional partial derivative.

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Calculus

Two-Direction Laplacian

Calculate two-dimensional laplacian from second derivative in first direction and second derivative in second direction.

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Calculus

Two-Direction Laplacian: solve second derivative in first direction

Rearrange the two-direction laplacian relationship and solve for second derivative in first direction.

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Calculus

Two-Direction Laplacian: solve second derivative in second direction

Rearrange the two-direction laplacian relationship and solve for second derivative in second direction.

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Calculus

Centered Second-Difference Curvature

Calculate curvature approximation from second-difference numerator and uniform mesh spacing.

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Calculus

Centered Second-Difference Curvature: solve second-difference numerator

Rearrange the centered second-difference curvature relationship and solve for second-difference numerator.

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Calculus

Centered Second-Difference Curvature: solve uniform mesh spacing

Rearrange the centered second-difference curvature relationship and solve for uniform mesh spacing.

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Calculus

Trapezoid Panel Integral

Calculate panel integral from mean endpoint ordinate and panel width.

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Calculus

Trapezoid Panel Integral: solve mean endpoint ordinate

Rearrange the trapezoid panel integral relationship and solve for mean endpoint ordinate.

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Calculus

Trapezoid Panel Integral: solve panel width

Rearrange the trapezoid panel integral relationship and solve for panel width.

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Calculus

Simpson Weighted Panel Average

Calculate weighted panel average from weighted ordinate sum and simpson divisor.

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Calculus

Simpson Weighted Panel Average: solve weighted ordinate sum

Rearrange the simpson weighted panel average relationship and solve for weighted ordinate sum.

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Calculus

Simpson Weighted Panel Average: solve Simpson divisor

Rearrange the simpson weighted panel average relationship and solve for simpson divisor.

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Calculus

Courant Travel-to-Cell Ratio

Calculate courant number from distance travelled in one time step and cell width.

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Calculus

Courant Travel-to-Cell Ratio: solve distance travelled in one time step

Rearrange the courant travel-to-cell ratio relationship and solve for distance travelled in one time step.

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Calculus

Courant Travel-to-Cell Ratio: solve cell width

Rearrange the courant travel-to-cell ratio relationship and solve for cell width.

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Calculus

Diffusion Mesh Number

Calculate diffusion number from diffusivity-times-step product and mesh spacing.

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Calculus

Diffusion Mesh Number: solve diffusivity-times-step product

Rearrange the diffusion mesh number relationship and solve for diffusivity-times-step product.

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Calculus

Diffusion Mesh Number: solve mesh spacing

Rearrange the diffusion mesh number relationship and solve for mesh spacing.

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Calculus

Observed Numerical Convergence Order

Calculate observed order from positive error ratio and positive mesh-size ratio.

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Calculus

Observed Numerical Convergence Order: solve positive error ratio

Rearrange the observed numerical convergence order relationship and solve for positive error ratio.

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Calculus

Observed Numerical Convergence Order: solve positive mesh-size ratio

Rearrange the observed numerical convergence order relationship and solve for positive mesh-size ratio.

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Calculus

Reference-Scaled Numerical Error Percentage

Calculate scaled error percentage from absolute numerical error and reference solution magnitude.

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Calculus

Reference-Scaled Numerical Error Percentage: solve absolute numerical error

Rearrange the reference-scaled numerical error percentage relationship and solve for absolute numerical error.

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Calculus

Reference-Scaled Numerical Error Percentage: solve reference solution magnitude

Rearrange the reference-scaled numerical error percentage relationship and solve for reference solution magnitude.

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Calculus

Iterative Residual Reduction Factor

Calculate residual reduction factor from new residual norm and previous residual norm.

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