Flags: | Numerical Results |
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| Level 1/Argument 1 | Level 1/Item 1 | |
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| x | → | ln (x + 1) |
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| 'symb' | → | 'LNP1(symb)' |
See also: | EXPM, LN |
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LOCAL |
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Type: | Command |
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Description: | Creates one or more local variables. This command is intended mainly for use in Algebraic mode; | |||
| it can not be single stepped when a program containing it is being debugged in Algebraic mode. | |||
Access: | Catalog, …µ |
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Input: | Level 1/Argument 1: A list of one or more local variable names (names beginning with the local | |||
| variable identifier ←), each one followed by an equals sign and the value to be stored in it. Any | |||
| variable not followed by an equal sign and a value is set equal to zero. |
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Output: | Level 1/Item 1: The input list. |
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Flags: | Exact mode must be set (flag |
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| Numeric mode must not be set (flag |
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Example: | Create local variables ←A and ←B and store the values 0 in the first and 2 in the second. | |||
Command: | LOCAL({←A,←B=2}) |
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Result: | {←A,←B=2} |
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See also: | DEF, STORE, UNBIND |
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LOG | Analytic function |
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Type: |
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Description: | Common Logarithm Analytic Function: Returns the common logarithm (base 10) of the | |||
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| For x=0 or (0, 0), an Infinite Result exception occurs, or, if flag | |||
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| The inverse of ALOG is a relation, not a function, since ALOG sends more than one argument to | |||
| the same result. The inverse relation for ALOG is the general solution: |
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| LOG(Z)+2*π*i*n1/2.30258509299 |
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| The function LOG is the inverse of a part of ALOG, a part defined by restricting the domain of | |||
| ALOG such that 1) each argument is sent to a distinct result, and 2) each possible result is | |||
| achieved. The points in this restricted domain of ALOG are called the principal values of the | |||
| inverse relation. LOG in its entirety is called the principal branch of the inverse relation, and the | |||
| points sent by LOG to the boundary of the restricted domain of ALOG form the branch cuts of | |||
| LOG. |
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| The principal branch used by the calculator for LOG(z) was chosen because it is analytic in the | |||
| regions where the arguments of the | |||
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| The principal branch also preserves most of the important symmetries. |
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| You can determine the graph for LOG(z) from the graph for LN (see LN) and the relationship | |||
| log z = ln z / ln 10. |
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Access: | …Ã | ( Ãis the | ||
Flags: | Principal Solution |
Full Command and Function Reference