## Answer in 60

### Input interpretation

**Key moments in video**

From 01:28 — Introduction of the Error Function

From 03:21 — The definition of the integral

From 05:03 — Graph of the Error Function

From 05:55 — Finding Horizontal Asymptotes

From 08:32 — The Fundamental Theorem of Calculus, Part 1

From 09:35 — Second derivative of the error function

From 10:15 — Second Derivative Test

## Related querie

### Why is it called error function?

In addition, the paper hinted the origin of so called the "Error" function. It's indeed **the (accumulated) error from the measurement against the "mean" (CDF)**.

### What is the error function in physics?

The error function erf is a special function. It is widely used in statistical computations for instance, where it is also known as the **standard normal cumulative probability**. The complementary error function is defined as erfc ( x ) = 1 − erf ( x ) .

### What is error function of a number?

In statistics, for non-negative values of x, the error function has the following interpretation: for a random variable Y that is normally distributed with mean 0 and standard deviation 1√2, **erf x is the probability that Y falls in the range [−x, x]**.

### What is meant by error function?

Error-function definition

(mathematics, statistics) **A sigmoid function giving the probability that a measurement, under the influence of normally distributed errors with standard deviation, is within a certain distance from the mean value**.

### What is error function in Laplace transform?

L{f} denotes the Laplace transform of the function f. **erf denotes the error function**. erfc denotes the complementary error function. exp denotes the exponential function.

### What does the error function do?

The error function erf is a special function. It is widely used in statistical computations for instance, where it is also known as the **standard normal cumulative probability**. The complementary error function is defined as erfc ( x ) = 1 − erf ( x ) .

### What is type error in Python?

TypeError is one among the several standard Python exceptions. **TypeError is raised whenever an operation is performed on an incorrect/unsupported object type**. For example, using the + (addition) operator on a string and an integer value will raise TypeError.

### What is value error in Python?

ValueError in Python is **raised when a user gives an invalid value to a function but is of a valid argument**. It usually occurs in mathematical operations that will require a certain kind of value, even when the value is the correct argument. Imagine telling Python to take the square root of a negative integer.

### What is integration error?

An integration error **appears when a third-party platform sends back a response code to Unbounce's servers, indicating that there might've been an issue with accepting the lead (from a form submission)**. Such errors can appear if there's an issue with the integration or how Unbounce is sending the information.

### What is the inverse of the error function?

The inverse error function inverf x **occurs in the solution of nonlinear heat and diffusion problems** [ 1 ]. It provides exact solutions when the diffu- sion coefficient is concentration dependent, and may be used to solve certain moving interface problems.