- Number Crunch
Changes integers to floating-point numbers in a selected expression and then evaluates the expression.
Selected expression
After number crunch
Use the Show All Digits command to show up to 15 decimal places in a floating-point number.
Number Crunch displays NaN (Not a Number) for operations that result in undefined values. It displays Infinity for operations that result in a value too large to calculate. Small numbers can sometimes be evaluated to zero.
Selected expression
After number crunch
- Show All Digits
Shows the full internal accuracy of a floating-point number.
Selected number
After showing all digits
- Evaluate
Evaluates the selected expression. The operations performed depend on the type of expression selected, as shown in the following examples:
Rewrites an expression raised to a power less than 20 as a product.
Selected expression
After evaluating
Computes the factorial of an integer. If the result is too large to calculate, the result appears as Infinity.
Selected expression
After evaluating
Computes the determinant of a 1-by-1 or 2-by-2 matrix.
Selected expression
After evaluating
Extracts a term from a sum or product.
Selected expression
After evaluating
Evaluates a substitution just as the Evaluate Substitution command does.
Rewrites an Evaluate Between operator as a difference.
Selected expression
After evaluating
Rewrites the logarithm of a product as a sum of logarithms and rewrites a logarithm of a power as a product.
Selected expression
After evaluating
Rewrites a logarithm to a base in terms of natural logarithms.
Selected expression
After evaluating
Rewrites a choice function in terms of factorials.
Selected expression
After evaluating
- Evaluate Substitution
Performs a specified substitution and then simplifies the expression. When an Evaluate Between operator is selected, this command rewrites the expression as a difference.
Selected expression
After evaluating
- Evaluate Integrals
Rewrites a selected integral with a polynomial integrand. This command converts a definite integral into an indefinite integral evaluated between the upper and lower bounds. Use Evaluate Integrals several times to integrate a polynomial fully.
Selected expression
Evaluated once
Evaluated twice
- Evaluate Derivatives
Evaluates a selected derivative, applying the chain rule to complex expressions when necessary. This command evaluates a partial derivative only when all dependencies are explicitly written.
This command treats elements in a total derivative as if they depended on the variable of differentiation. Use the Evaluate command to expand an nth derivative before using Evaluate Derivatives to evaluate it.
Before
After
- Evaluate Derivatives 1 Level
Evaluates only the first level of a selected derivative.
Before
After
