What is the difference between inverse and reciprocal functions?
Mar 12, 2006 · "Inverse", alone, does not ever mean "1 over" a function! That would be the "multiplicative inverse" or reciprocal, just as "negative 1 times" a function would be the …
Difference Between Inverse & Reciprocal - Physics Forums
Apr 22, 2008 · The discussion clarifies the distinction between "reciprocal" and "inverse" in mathematics. The reciprocal specifically refers to the multiplicative inverse, such as 1/x, while …
What is the difference between reciprocal and inverse in …
Sep 4, 2004 · The term "inverse" always refers to inverting some sort of operation. The reciprocal is an example of something called a "multiplicative inverse": the inverse of the operation of …
Understanding the Relationship Between a Function and Its Inverse
Feb 7, 2024 · The discussion focuses on the relationship between a function and its inverse, emphasizing that they are mirror images across the line y=x. Participants explore the …
Interchanging x and y for inverse function • Physics Forums
Apr 3, 2023 · Interchanging x and y in equations is permissible because the relationship between a function and its inverse is symmetrical about the line y=x. However, swapping variables can …
Pros and Cons of Using $\\arcsin$ vs $\\sin^{-1} x$
Aug 3, 2014 · "arcsin (x)" and "sin^ (-1) (x)" both represent the inverse sine function, which is also denoted as "sin^ (-1) (x)." This function is used to find the angle whose sine equals a given …
What is the inverse function of erf? • Physics Forums
Jun 14, 2012 · This is the 'inverse error function'. It even has a Taylor series. Google 'inverse erf' and you will find info about it.
Why do people refer ln (x) as log (x) - Physics Forums
Jul 28, 2011 · The discussion centers on why "ln (x)" is often referred to simply as "log (x)" in mathematical contexts, particularly among professors and textbooks. Participants note that in …
Why don't sin and arcsin cancel? - Physics Forums
Mar 10, 2009 · The notation for inverse functions, f -1 (x) is just that: notation, a shorthand way of writing the inverse of a function f. Even though the -1 looks like an exponent, it is meant to be …
Symbol ∝ Origin: Uncovering the Mystery • Physics Forums
Aug 26, 2018 · If A is directly proportional to B, A ∝ B .If A is inversely proportional to B, A ∝ 1/B But where did the symbol ∝ came from?