## Error propagation nonlinear variance terms

Added May 19, 2015 by mshelikoff in EngineeringTerms greater than first derivative for nonlinear error propagation with no covariance. These calculations seem to be beyond Wolfram Alpha's complexity limits for now.

## Expected value after error propagation

Added Dec 17, 2017 by mshelikoff in EngineeringReturns the expected value of a derived function given the uncertainties of its inputs with no covariance. Bernoulli equation total head H(z,P,d,v)=z+P/(dg)+v^2/(2g) is used as an example.

## Propagation of maximum error (numerical)

Added Dec 14, 2017 by mshelikoff in EngineeringError propagation from multivariable calculus finds maximum error in a function given the maximum error of its inputs. Bernoulli equation total head H(z,P,d,v)=z+P/(dg)+v^2/(2g) is used as an example.

## Propagation of maximum error (algebra)

Added Dec 14, 2017 by mshelikoff in EngineeringError propagation from multivariable calculus finds maximum error in a function given the maximum error of its inputs. Bernoulli equation total head H(z,P,d,v)=z+P/(dg)+v^2/(2g) is used as an example.

## Gaussian & maximum error propagation: algebra

Added Dec 14, 2017 by mshelikoff in EngineeringUses multivariable calculus to propagate Gaussian and maximum error in a function given the same errors for its inputs. Bernoulli equation total head H(z,P,d,v)=z+P/(dg)+v^2/(2g) is used as an example.

## Find aliquot sequence and prime factorization

Added Aug 30, 2016 by mshelikoff in MathematicsTerminating sequences end at 1. Try 138. Sequences with a cycle or perfect number end at the first repeat. Try 143, 562, 2856, 14316. Lengthy (or perhaps infinite) aliquot sequences give no result.

## Propagation of error (uncertainty)

Added Aug 20, 2016 by mshelikoff in EngineeringError propagation from multivariable calculus finds uncertainty in a function given the uncertainties of its inputs. Bernoulli equation total head H(z,P,d,v)=z+P/(dg)+v^2/(2g) is used as an example.

## Determine nonunitary aliquot sequence

Added May 17, 2015 by mshelikoff in MathematicsTerminating nonunitary aliquot sequences end at 0. Nonunitary sequences with a cycle or nonunitary perfect numbers end at the first repeat. Lengthy (or perhaps infinite) sequences give no result.

## Evaluate a range of aliquot sequences

Added May 17, 2015 by mshelikoff in MathematicsTerminating sequences end at 1. Sequences end with 0 if they grow larger than the maximum number of digits. Sequences with a cycle end at the first repeat. Too much computation time yields no results.

## Determine aliquot sequence

Added Dec 10, 2014 by mshelikoff in MathematicsTerminating sequences end at 1. Try 138. Sequences with a cycle or perfect number end at the first repeat. Try 143, 562, 2856, 14316. Lengthy (or perhaps infinite) aliquot sequences give no result.

## Prime curios involving (prime(n))^n

Added Dec 9, 2014 by mshelikoff in MathematicsFinds prime outputs to functions of the form (p(n))^n____ where n is the input, p(n) is the n-th prime number, and ____ is part of the function supplied by the user.

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