
SuperCollider Tutorial
... This is because of something called scope. Variables only exist in the code block in which they are declared. Code blocks are zero or more lines of code surrounded by parenthesis, or by curly braces. This means that variables and arguments declared inside a function only exist inside that function. ...
... This is because of something called scope. Variables only exist in the code block in which they are declared. Code blocks are zero or more lines of code surrounded by parenthesis, or by curly braces. This means that variables and arguments declared inside a function only exist inside that function. ...
CIRCULAR (TRIGONOMETRIC) FUNCTIONS RECIPROCAL
... The inverse function of the restricted cosine function: f : [0, π ] → [ −1, 1] , f ( x) = cos( x) is called the inverse cosine function or the arccosine function. It is denoted by: cos −1 ( x) , arcos( x ) or acos( x ) . It has a domain of − 1 ≤ x ≤ 1 and range of 0 ≤ y ≤ π . The inverse tangent fun ...
... The inverse function of the restricted cosine function: f : [0, π ] → [ −1, 1] , f ( x) = cos( x) is called the inverse cosine function or the arccosine function. It is denoted by: cos −1 ( x) , arcos( x ) or acos( x ) . It has a domain of − 1 ≤ x ≤ 1 and range of 0 ≤ y ≤ π . The inverse tangent fun ...
The Limit of a Sequence of Numbers
... {xn } may not itself be a subsequence of {an }, each xn may or may not be one of the numbers ak , so that there really is something to prove. In fact, this is the hard part of this lemma. To nish the proof of part (4), we must dene an increasing sequence {nk } of natural numbers for which the corr ...
... {xn } may not itself be a subsequence of {an }, each xn may or may not be one of the numbers ak , so that there really is something to prove. In fact, this is the hard part of this lemma. To nish the proof of part (4), we must dene an increasing sequence {nk } of natural numbers for which the corr ...
2.6 Rational Functions (slides, 4 to 1)
... As x gets large in absolute value, the quadratic terms x2 begin to dominate. For example, if x = 1, 000, 000 then the denominator x2 + x − 12 is equal to 1, 000, 000, 000, 000 + 1, 000, 000 − 12 = 1, 000, 000, 099, 988, which for all practical purposes can be approximated by 1, 000, 000, 000, 000. S ...
... As x gets large in absolute value, the quadratic terms x2 begin to dominate. For example, if x = 1, 000, 000 then the denominator x2 + x − 12 is equal to 1, 000, 000, 000, 000 + 1, 000, 000 − 12 = 1, 000, 000, 099, 988, which for all practical purposes can be approximated by 1, 000, 000, 000, 000. S ...
EXHAUSTIBLE SETS IN HIGHER
... We say that the set K is exhaustible if the above problem can be algorithmically solved for any continuous p defined on K, uniformly in p. The uniform dependency on p is formulated by giving the algorithm the type (D → B) → B, where D is a domain, K ⊆ D, and B is the domain of booleans. The main que ...
... We say that the set K is exhaustible if the above problem can be algorithmically solved for any continuous p defined on K, uniformly in p. The uniform dependency on p is formulated by giving the algorithm the type (D → B) → B, where D is a domain, K ⊆ D, and B is the domain of booleans. The main que ...