Module monotonicity
Source - DOCUMENTATION_ACOS ๐
- DOCUMENTATION_ACOSH ๐
- DOCUMENTATION_ASIN ๐
- DOCUMENTATION_ASINH ๐
- DOCUMENTATION_ATAN ๐
- DOCUMENTATION_ATANH ๐
- DOCUMENTATION_ATANH2 ๐
- DOCUMENTATION_CBRT ๐
- DOCUMENTATION_CEIL ๐
- DOCUMENTATION_COS ๐
- DOCUMENTATION_COSH ๐
- DOCUMENTATION_DEGREES ๐
- DOCUMENTATION_EXP ๐
- DOCUMENTATION_FLOOR ๐
- DOCUMENTATION_LN ๐
- DOCUMENTATION_LOG2 ๐
- DOCUMENTATION_LOG10 ๐
- DOCUMENTATION_RADIANS ๐
- DOCUMENTATION_SIN ๐
- DOCUMENTATION_SINH ๐
- DOCUMENTATION_SQRT ๐
- DOCUMENTATION_TAN ๐
- DOCUMENTATION_TANH ๐
- acos_order
- Non-increasing on the interval [โ1, 1], undefined otherwise.
- acosh_order
- Non-decreasing for x โฅ 1, undefined otherwise.
- asin_order
- Non-decreasing on the interval [โ1, 1], undefined otherwise.
- asinh_order
- Non-decreasing for all real numbers.
- atan2_order
- Order depends on the quadrant.
- atan_order
- Non-decreasing for all real numbers.
- atanh_order
- Non-decreasing on the interval [โ1, 1], undefined otherwise.
- cbrt_order
- Non-decreasing for all real numbers.
- ceil_order
- Non-decreasing for all real numbers.
- cos_order
- Non-increasing on [0, ฯ] and then non-decreasing on [ฯ, 2ฯ].
This pattern repeats periodically with a period of 2ฯ.
- cosh_order
- Non-decreasing for x โฅ 0 and symmetrically non-increasing for x โค 0.
- degrees_order
- Non-decreasing function that converts radians to degrees.
- exp_order
- Non-decreasing for all real numbers.
- floor_order
- Non-decreasing for all real numbers.
- get_acos_doc
- get_acosh_doc
- get_asin_doc
- get_asinh_doc
- get_atan2_doc
- get_atan_doc
- get_atanh_doc
- get_cbrt_doc
- get_ceil_doc
- get_cos_doc
- get_cosh_doc
- get_degrees_doc
- get_exp_doc
- get_floor_doc
- get_ln_doc
- get_log2_doc
- get_log10_doc
- get_radians_doc
- get_sin_doc
- get_sinh_doc
- get_sqrt_doc
- get_tan_doc
- get_tanh_doc
- ln_order
- Non-decreasing for x โฅ 0, undefined otherwise.
- log2_order
- Non-decreasing for x โฅ 0, undefined otherwise.
- log10_order
- Non-decreasing for x โฅ 0, undefined otherwise.
- radians_order
- Non-decreasing for all real numbers x.
- sin_order
- Non-decreasing on [0, ฯ] and then non-increasing on [ฯ, 2ฯ].
This pattern repeats periodically with a period of 2ฯ.
- sinh_order
- Non-decreasing for all real numbers.
- sqrt_order
- Non-decreasing for x โฅ 0, undefined otherwise.
- tan_order
- Non-decreasing between vertical asymptotes at x = k * ฯ ยฑ ฯ / 2 for any
integer k.
- tanh_order
- Non-decreasing for all real numbers.