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In heat transfer, some formulae are expressed in error function. what is it ?
How do we get the equation for error function ?[?]
How do we get the equation for error function ?[?]
I've heard it's called imaginary error function in full.Originally posted by On Radioactive Waves
Isn't the error function e -x 2 ? Thats all I know...
The error function, also known as the Gauss error function, is a mathematical function used to measure the accuracy of a model or approximation in statistics and applied mathematics. It is defined as the integral of a normal distribution with mean 0 and standard deviation of 1.
The error function is commonly used in statistics to evaluate the difference between a predicted value and the actual value of a variable. It is often used in regression analysis to measure the accuracy of a model and to determine the amount of error in the data.
The error function is calculated using an integral, which is a mathematical operation that represents the area under a curve. It is a complex mathematical function that cannot be expressed in terms of elementary functions, but it can be approximated using numerical methods.
The error function has several important properties, including being an odd function, meaning that f(-x) = -f(x). It also approaches 1 as x approaches infinity and approaches -1 as x approaches negative infinity. Additionally, it is a continuous and differentiable function.
The error function has various applications in fields such as statistics, physics, engineering, and finance. It is used to calculate probabilities and confidence levels, as well as to evaluate the accuracy of models and approximations. It is also used in the solution of differential equations and in the analysis of signal processing and noise.