TANH Meaning and
Definition
-
Tanh is a mathematical function that is derived from the hyperbolic tangent function. It is primarily used in mathematics and computer science to transform values within a range of -1 to 1. The term "tanh" is an abbreviation of "tangent hyperbolic," indicating its connection to the hyperbolic tangent function.
Mathematically, tanh(x) can be defined as the ratio of the hyperbolic sine function (sinh(x)) to the hyperbolic cosine function (cosh(x)). It is represented as:
tanh(x) = sinh(x) / cosh(x),
where sinh(x) is equal to (e^x - e^(-x))/2 and cosh(x) is equal to (e^x + e^(-x))/2. Here, e denotes Euler's number, which is approximately 2.71828.
The tanh function has several important properties. Firstly, it is an odd function, which means tanh(-x) = -tanh(x). Secondly, its range is bounded between -1 and 1, with the function approaching these limits asymptotically. Additionally, tanh displays a sigmoidal curve, being negative for negative inputs and positive for positive inputs.
In computer science, the tanh function is frequently utilized as an activation function in artificial neural networks. The activation function determines the output of a neural network node based on its inputs. The tanh activation function helps introduce non-linearity into the system and is commonly used in hidden layers of neural networks to model complex relationships between inputs and outputs.
Common Misspellings for TANH
- 6anh
- 5anh
- tznh
- twnh
- tqnh
- rtanh
- tranh
- ftanh
- tfanh
- gtanh
- tganh
- ytanh
- tyanh
- 6tanh
- t6anh
- 5tanh
- t5anh
- tzanh
- taznh
- tsanh
- tqanh
- taqnh
- tabnh
- tanbh
- tamnh
- tanmh
- tajnh
- tanjh
- tanhh
- tanhg
- tanhb
- tannh
- tanhn
- tanuh
- tanhu
- tanyh
- atnh
- ttanh
- taanh
- Tcnh
- Ta.h
- Taoh
- Tanx
- t anh
- ta nh
- tan h
Etymology of TANH
The word "tanh" has its etymology in the Pali language, which is an ancient Indian language derived from Sanskrit and used as a liturgical language in Theravada Buddhism. In Pali, "tanhā" (pronounced "tahn-hah") means "thirst" or "desire". In the context of Buddhism, it refers to an intense craving or attachment to worldly desires, which is seen as the root cause of suffering. The word "tanh" is used in English to refer to this concept as well.
