Assertion: function | /r/HasProperty | defined
Facets:
value: naturally
type: DEGREE
value: everywhere
type: LOCATION
value: somewhere else
type: LOCATION
value: nowhere
type: LOCATION
value: formally
type: MANNER
value: according to the properties
type: OTHER
value: often
type: DEGREE
Source sentences:
text: The domain and codomain are not always explicitly given when a function is defined, and, without some (possibly difficult) computation, one knows only that the domain is contained in a larger set.
text: There is a distinction between the function name and the variable the function is assigned to.
text: Functions can be identified according to the properties they have.
text: \mathbb {N} } , the function is well-defined.
text: Form, Fit, and Function (F3) is the identification and description of characteristics of a part or assembly.
text: Such functions created by the user are known as user-defined functions.
text: Thus, the arrow notation is useful for avoiding introducing a symbol for a function that is defined, as it is often the case, by a formula expressing the value of the function in terms of its argument.
text: When a function is defined this way, the determination of its domain is sometimes difficult.
text: f} is an operation on functions that is defined only if the codomain of the first function is the domain of the second one.
text: In the second half of the 19th century, the mathematically rigorous definition of a function was introduced, and functions with arbitrary domains and codomains were defined.
text: The function is defined as follows:
text: Formally, the Q-function is defined as
text: Then a function that can be used as a callback to calculate is defined, calcProduct.
text: Second, the languages that treat functions as first-class functions (Dylan, Haskell, JavaScript, Lisp, ML, Perl, Python, Ruby, Scheme) generally have anonymous function support so that functions can be defined and passed around as easily as other data types.
text: That's why we can use the code to call a function before the function has been defined.
text: Given an arithmetic function a(n), its summation function A(x) is defined by
text: In general, functions are often defined by specifying the name of a dependent variable, and a way of calculating what it should map to.
text: Naturally, the function shall be defined somewhere else, like later in the code.
text: Naturally, the function shall be defined somewhere else, like later in the code.
text: One says that these functions are defined, continuous and differentiable everywhere.
text: Some functions are defined everywhere, but not continuous at some points.
text: Some functions are defined and continuous everywhere, but not everywhere differentiable.
text: Some functions are defined for all real values of the variables (one says that they are everywhere defined), but some other functions are defined only if the value of the variable is taken in a subset X of ℝ, the domain of the function, which is always supposed to contain an interval of positive length.
text: Some functions are defined for all real values of the variables (one says that they are everywhere defined), but some other functions are defined only if the value of the variable is taken in a subset X of ℝ, the domain of the function, which is always supposed to contain an interval of positive length.
text: The same rules apply if a function is defined inside another function: look inside the current function, then where that function was defined, and so on, all the way up to the global environment, and then on to other loaded packages.
text: When you combine the two domains to see what they have in common, you find the intersection of everything and nothing is nothing (the empty set), so the function is defined nowhere and undefined everywhere.
text: A third function h can be defined to demonstrate why:
text: Once a function is defined, it can be used over and over and over again.
text: If a function is both even and odd, it is equal to 0 everywhere it is defined.
text: We say that a function f(x) that is defined at x = c is continuous at x = c if the limit of f(x) as x approaches c is equal to the value of f(x) at x = c.
text: If distance is measured in meters, and the function is defined at
text: Thus, the function f has been defined as follows:
text: The arguments in the function definition bind the arguments passed at function invocation (i.e. when the function is called), which are called actual parameters, to the names given when the function is defined, which are called formal parameters.
text: The moment we call this function can be remote in time from the moment the function has been defined (or created).
text: As the 4th example shows, the function name can be different from the variable the function is assigned to.
text: In computer science, a function type (or arrow type or exponential) is the type of a variable or parameter to which a function has or can be assigned, or an argument or result type of a higher-order function taking or returning a function.
text: They can be assigned, copied or declared in any place of the code.