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NumPy provides a comprehensive collection of mathematical functions that can be applied to arrays. These functions are designed to operate element-wise on arrays, enabling efficient and concise mathematical operations. Below is a summary of key NumPy mathematical functions:
### Arithmetic Operations
1. **Addition:**
```
```
Adds corresponding elements of `array1` and `array2`.
2. **Subtraction:**
```
```
Subtracts corresponding elements of `array2` from `array1`.
3. **Multiplication:**
```
```
Multiplies corresponding elements of `array1` and `array2`.
4. **Division:**
```
```
Divides corresponding elements of `array1` by `array2`.
### Exponential and Logarithmic Functions
1. **Exponential:**
```
```
Calculates the exponential (e^x) of each element in the array.
2. **Natural Logarithm:**
```
```
Computes the natural logarithm (base e) of each element in the array.
3. **Logarithm Base 10:**
```
```
Computes the logarithm base 10 of each element in the array.
4. **Logarithm Base 2:**
```
```
Computes the logarithm base 2 of each element in the array.
### Power and Root Functions
1. **Power:**
```
```
Raises each element of the array to the specified power.
2. **Square Root:**
```
```
Computes the square root of each element in the array.
### Trigonometric Functions
1. **Sine:**
```
```
Computes the sine of each element (in radians) in the array.
2. **Cosine:**
```
```
Computes the cosine of each element (in radians) in the array.
3. **Tangent:**
```
```
Computes the tangent of each element (in radians) in the array.
### Rounding Functions
1. **Round:**
```
```
Rounds each element to the specified number of decimals.
2. **Floor:**
```
```
Computes the floor of each element (rounds down to the nearest integer).
3. **Ceil:**
```
```
Computes the ceiling of each element (rounds up to the nearest integer).
### Statistical Functions
1. **Sum:**
```
```
Computes the sum of all elements along the specified axis.
2. **Mean:**
```
```
Computes the mean of all elements along the specified axis.
3. **Median:**
```
Computes the median of all elements along the specified axis.
4. **Standard Deviation:**
```
Computes the standard deviation of all elements along the specified axis.
5. **Variance:**
```
Computes the variance of all elements along the specified axis.
### Aggregation Functions
1. **Min:**
```
Computes the minimum value of all elements along the specified axis.
2. **Max:**
Computes the maximum value of all elements along the specified axis.
====================================================
======================================================
NumPy provides a comprehensive collection of mathematical functions that can be applied to arrays. These functions are designed to operate element-wise on arrays, enabling efficient and concise mathematical operations. Below is a summary of key NumPy mathematical functions:
### Arithmetic Operations
1. **Addition:**
```
```
Adds corresponding elements of `array1` and `array2`.
2. **Subtraction:**
```
```
Subtracts corresponding elements of `array2` from `array1`.
3. **Multiplication:**
```
```
Multiplies corresponding elements of `array1` and `array2`.
4. **Division:**
```
```
Divides corresponding elements of `array1` by `array2`.
### Exponential and Logarithmic Functions
1. **Exponential:**
```
```
Calculates the exponential (e^x) of each element in the array.
2. **Natural Logarithm:**
```
```
Computes the natural logarithm (base e) of each element in the array.
3. **Logarithm Base 10:**
```
```
Computes the logarithm base 10 of each element in the array.
4. **Logarithm Base 2:**
```
```
Computes the logarithm base 2 of each element in the array.
### Power and Root Functions
1. **Power:**
```
```
Raises each element of the array to the specified power.
2. **Square Root:**
```
```
Computes the square root of each element in the array.
### Trigonometric Functions
1. **Sine:**
```
```
Computes the sine of each element (in radians) in the array.
2. **Cosine:**
```
```
Computes the cosine of each element (in radians) in the array.
3. **Tangent:**
```
```
Computes the tangent of each element (in radians) in the array.
### Rounding Functions
1. **Round:**
```
```
Rounds each element to the specified number of decimals.
2. **Floor:**
```
```
Computes the floor of each element (rounds down to the nearest integer).
3. **Ceil:**
```
```
Computes the ceiling of each element (rounds up to the nearest integer).
### Statistical Functions
1. **Sum:**
```
```
Computes the sum of all elements along the specified axis.
2. **Mean:**
```
```
Computes the mean of all elements along the specified axis.
3. **Median:**
```
Computes the median of all elements along the specified axis.
4. **Standard Deviation:**
```
Computes the standard deviation of all elements along the specified axis.
5. **Variance:**
```
Computes the variance of all elements along the specified axis.
### Aggregation Functions
1. **Min:**
```
Computes the minimum value of all elements along the specified axis.
2. **Max:**
Computes the maximum value of all elements along the specified axis.