Current location - Training Enrollment Network - Mathematics courses - Excuse me, how to look up the error function erf(β) table?
Excuse me, how to look up the error function erf(β) table?
It is generally known that erf asks you to find β. You must first determine which line the known number is in, and then determine the value according to the dichotomy.

For example, the erf is 0.78. As can be seen from the table, it is a number in the middle of 0.8 rows, 6 columns and 7 columns. Then, use dichotomy to specifically determine what the following number is. Divide the obtained number by 100 (because it represents a number with the second decimal point) to get 0.068, so the reading is 0.8 (row) +0.068 (column) =.

Extended data

Application of error function erf(β):

The indefinite integral of Gaussian function is an error function. Gaussian function exists in natural science, social science, mathematics and engineering. Examples in this respect include:

In statistics and probability theory, Gaussian function is a density function of normal distribution, and it is a finite probability distribution of complex sum according to the central limit theorem.

Gaussian function is the wave function of the ground state of quantum harmonic oscillator.

Molecular orbitals used in computational chemistry are linear combinations of Gaussian functions, called Gaussian orbitals (see basis sets in quantum chemistry).

In the field of mathematics, Gaussian function plays an important role in the definition of Hermite polynomial.

Gaussian function in quantum field theory is related to vacuum state.

Gaussian beams have applications in optical and microwave systems.

Gaussian function is used as the pre-smoothing kernel in image processing.

Baidu Encyclopedia-Error Function