Type: | Analytic Function |
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Description: | Cosine Analytic Function: Returns the cosine of the argument. | ||||||||||||||
| For real arguments, the current angle mode determines the number’s interpretation as an angle, | ||||||||||||||
| unless the angular units are specified. |
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| For complex arguments, cos(x + iy) = cosx coshy – i sinx sinhy. | ||||||||||||||
| If the argument for COS is a unit object, then the specified angular unit overrides the angle mode | ||||||||||||||
| to determine the result. Integration and differentiation, on the other hand, always observe the | ||||||||||||||
| angle mode. Therefore, to correctly integrate or differentiate expressions containing COS with a | ||||||||||||||
| unit object, the angle mode must be set to Radians (since this is a “neutral” mode). | ||||||||||||||
Access: | T |
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Flags: | Numerical Results |
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Input/Output: |
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| Level 1/Argument 1 |
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| Level 1/Item 1 | ||
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| z |
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| → |
| cos z | ||
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| 'symb' |
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| 'COS(symb)' | ||
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| x_unitangular |
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| cos (x_unitangular) | |||
| ACOS, SIN, |
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See also: | TAN |
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COSH | Analytic Function |
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Type: |
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Description: | Hyperbolic Cosine Analytic Function: Returns the hyperbolic cosine of the argument. | ||||||||||||||
| For complex arguments, cosh(x + iy) = coshx cosy + i sinhx siny. | ||||||||||||||
Access: | …ÑHYPERBOLIC COSH | (Ñis the | |||||||||||||
| !´HYPERBOLIC COSH | ( ´is the | |||||||||||||
Flags: | Numerical Results |
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Input/Output: |
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| Level 1/Argument 1 |
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| Level 1/Item 1 | ||
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| z |
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| → |
| cosh z | ||
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| 'symb' |
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| 'COSH(symb)' | ||
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See also: | ACOSH, SINH, TANH |
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COV | Command |
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Type: |
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Description: | Covariance Command: Returns the sample covariance of the independent and dependent data | ||||||||||||||
| columns in the current statistics matrix (reserved variable ΣDAT). | ||||||||||||||
| The columns are specified by the first two elements in reserved variable ΣPAR, set by XCOL and | ||||||||||||||
| YCOL respectively. If ΣPAR does not exist, COV creates it and sets the elements to their default | ||||||||||||||
| values (1 and 2). |
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| The covariance is calculated with the following formula: |
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| 1 | n |
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| ∑ (xin1 | – xn1 )(xin2 – xn2 ) | ||||||||
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| n – 1i = 1 |
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| where xin1 is the ith coordinate value in column n1, xin2 is the ith coordinate value in the column | ||||||||||||||
| n2, | is thexn1mean of the data in column n1, | is the |
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| of the data in column n2, and n is the | |||||||||
| nmean2 | ||||||||||||||
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| x |
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| number of data points. |
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Access: | …µCOV |
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