Input/Output:
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| Level 1/Argument 1 | Level 1/Item 1 | |
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| z | → | ln z |
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| 'symb' | → | 'LN(symb)' |
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See also: | ALOG, EXP, ISOL, LNP1, LOG |
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LNAME |
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Type: | Command |
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Description: | Returns the variable names contained in a symbolic expression. |
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Access: | Catalog, …µ |
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Input: | A symbolic expression. |
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Output: | Level 2/Argument 1: The original expression. |
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| Level 1/Argument 2: A vector containing the variable names. The variable names are sorted by | |||
| length, longest first, and ones of equal length are sorted alphabetically. |
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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: | List the variables in the expression COS(B)/2*A + MYFUNC(PQ) + 1/T. | |||
Command: | LNAME(COS(B)/2*A + MYFUNC(PQ) + INV(T)) |
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Result: | {COS(B)/2*A + MYFUNC(PQ) + 1/T, [MYFUNC,PQ,A,B,T]} |
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See also: | LVAR |
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LNCOLLECT |
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Type: | Command |
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Description: | Simplifies an expression by collecting logarithmic terms. For symbolic powers does not perform | |||
| the same simplification as EXP2POW; compare example 2 here with example 2 for EXP2POW. | |||
Access: | Algebra, …×, !Ð, or PLEXP & LN, or !Ú REWRITE L | |||
Input: | An expression. |
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Output: | The simplified expression. |
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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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| Radians mode must be set (flag |
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Example 1: | Simplify the following expression: |
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| 2(ln(x)+ln(y)) |
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Command: | LNCOLLECT(2(LN(X)+LN(Y)) |
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Result: | LN(X^2*Y) |
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Example 2: | Compare the effect of LNCOLLECT with the effect of EXP2POW on the expression e n·ln(x) | |||
Command: | LNCOLLECT(EXP(N*LN(X)) |
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Result: | EXP(N*LN(X)) |
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See also: | EXP2POW, TEXPAND |
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LNP1 | Analytic function |
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Type: |
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Description: | Natural Log of x Plus 1 Analytic Function: Returns ln(x + 1). |
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| For values of x close to zero, LNP1(x) returns a more accurate result than does LN(x+1). Using | |||
| LNP1 allows both the argument and the result to be near zero, and it avoids an intermediate | |||
| result near 1. The calculator can express numbers within | |||
| For values of x < | |||
| occurs, or, if flag |
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Access: | !´HYPERBOLIC LNP1 | ( ´is the |