Contributing

How do you do erf in Matlab?

author 0

How do you do erf in Matlab?

The error function erf(X) is twice the integral of the Gaussian distribution with 0 mean and variance of . Y = erf(X) returns the value of the error function for each element of real array X . Y = erfc(X) computes the value of the complementary error function.

Where is ERFC in Matlab?

Description. erfc( X ) represents the complementary error function of X , that is, erfc(X) = 1 – erf(X) .

What does ERFC mean in Matlab?

Complementary Error Function
erfc( x ) returns the Complementary Error Function evaluated for each element of x . Use the erfc function to replace 1 – erf(x) for greater accuracy when erf(x) is close to 1 .

How do you do erf on a calculator?

How to calculate erf using this error function calculator?

  1. In the mode field, choose which of the four functions from the erf family you want to calculate.
  2. Enter the value of the argument at which you want the function evaluated.
  3. Our error function calculator returns the answer immediately. Enjoy!

How do you calculate ERF?

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 ) .

How do you do ERF on a calculator?

How do you integrate erf?

Integration by Parts:

  1. Let u=erf(x) and dv=dt.
  2. du=2√πe−x2 and v=x.
  3. By the integration by parts formula ∫udv=uv−∫vdu.
  4. ∫erf(x)dx=xerf(x)−∫2√πxe−x2dx.
  5. To evaluate the remaining integral, let u=−x2.
  6. Then du=−2xdx and so.
  7. −∫2√πxe−x2dx=1√π∫eudu.
  8. ∫erf(x)dx=xerf(x)+e−x2√π+C.

What is value of ERF?

erf(z)=2√π∫z0e−t2dt. ∫∞−∞e−x2dx=√π. ∫0−∞e−x2dx=∫∞0e−x2dx=√π2.

How do you call an erf function in MATLAB?

Calling erf for a number that is not a symbolic object invokes the MATLAB ® erf function. This function accepts real arguments only. If you want to compute the error function for a complex number, use sym to convert that number to a symbolic object, and then call erf for that symbolic object.

Can ERF return a floating point value?

Depending on its arguments, erf can return floating-point or exact symbolic results. Compute the error function for these numbers. Because these numbers are not symbolic objects, you get the floating-point results: Compute the error function for the same numbers converted to symbolic objects.

What does erf(x) mean?

erf(X) represents the error function of X. If X is a vector or a matrix, erf(X) computes the error function of each element of X.

Which functions can handle expressions containing ERF?

Many functions, such as diff and int , can handle expressions containing erf. Plot the error function on the interval from -5 to 5. Input, specified as a symbolic number, variable, expression, or function, or as a vector or matrix of symbolic numbers, variables, expressions, or functions.

author

Back to Top