Apr 7, 2009 · After you have stated that, h is a mathematical object, just like 1, pi, or the empty set. The function is NOT h(t), even though it is often written that way. The notation h(t) means that h is evaluated with the input t. You can see the difference clearly by looking at the types involved. h: R -> R (h is a function from real numbers to real ...

Jun 21, 2017 · In some sources QM is explained using bracket notation. I quite understand algebra of bracket notation, but I do not understand how is this notation related with physically meaningful things? How is bracket notation related to wavefunction notation? Could you tell me whether following is true...

Dec 28, 2011 · I'm wondering if it is proper for me to use this notation to denote functions, and if so, the proper way to write it. For example if I have f(t)=max(0, g(t)), I'm defining the function f(t) to be equal to g(t) as long as g(t) >=0, and zero otherwise. This is more compact of a notation than a case definition. I'm tempted to write the following.

Feb 2, 2017 · What the article says (with a slight change), is that y' = f(x, y). Your thread title makes no sense because the notation f(x, y) means that f is a function of two variables. The notation f'(x) means that f' is a function of a single variable, and from that we can infer that f itself is a function of one variable.

Jun 27, 2016 · I think ( though not 100% sure ) that the semicolon is used in these examples to separate variables from parameters; for example, in G(r1,r2;z), the z is a complex parameter which you choose to be of a specific value ( and which doesn't vary within the function ), whereas r1 and r2 are actual variables in the Green's function.

Sep 29, 2013 · Hi I am looking for the proper notation to represent angle wrapping in a mathematical function. For example if I have a function of the form: y=exp(θ) (and θ is an angle in degrees.) How do I write this function to explicitly assert that: -180 ≤ θ < 180 ? So that for example if one had an angle of numerical value 190, then θ = -170.

Jan 23, 2011 · If you want to prove a general theorem in mathematical logic about "all possible functions with 3 arguments, regardless of what the functions actually do or what types of arguments they have", then you need notations to represent ideas like "a general example of such a function", or "any possible values of the first argument of such a function".

Jan 5, 2015 · Thus we get notation like x = x(t), where the x on the left side is a variable, an element of the image of a function, while x on the right side is a function, a set or rule. Physicists tend to be rather flippant in notation, so you can expect more conflation in the future.

Nov 28, 2020 · You can write that sort of functional notation with just about everything: 2x4 lumber transformed by me into a shed, numbers 1 and 2 transformed by the "square" function into numbers 1 and 4. And in general, some set called "x" transformed by a function called "f" into a new set called "y" as ##f(x)=y## or say ##\sin(x)=y## with "f" being the ...

Sep 18, 2007 · When a book ask you to find the range they are asking for the range specific to that function; yours just trys to restate the definition. Typically they will look something like R-{0} or something like {x | x >= 0 and x is an element of R}