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What Does Capital F Mean
What Does Capital F Mean -
In differential calculus there is no single uniform notation for differentiation Instead various notations for the derivative of a function or variable have been proposed by various
Lagrange s notation for the derivative If f is a function of a single variable read as f prime is the derivative of f with respect to this variable The second derivative is the derivative of and is denoted Newton s notation most commonly used for the derivative with respect to time If x is a variable depending on time then read as x dot is its derivative with respect to time In particular if x represents a moving point then is its velocity Newton s notation for the second derivative If
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If f is continuous on a b then max f x exists on that interval The field of calculus e g multivariate vector calculus differential equations is often said to revolve around two opposing but complementary concepts derivative and
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We mean the derivative of the function f x with respect to the variable x One type of notation for derivatives is sometimes called prime notation The function f x which
It s common to work with derivatives and antiderivates so we use F x F x and f x f x to know these are related functions This is also common in probability where f x f x
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Lagrange s notation for the derivative If f is a function of a single variable read as f prime is the derivative of f with respect to this variable The second derivative is the derivative of and is denoted Newton s notation most commonly used for the derivative with respect to time If x is a variable depending on time then read as x dot is its derivative with respect to time In particular if x represents a moving point then is its velocity Newton s notation for the second derivative If
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Why are some functions denoted by capital letters For example an ODE is represented by the equation F t y y yn 0 F t y y y n 0 Here what I understand is that F is actually
Lagrange s notation for the derivative If f is a function of a single variable read as f prime is the derivative of f with respect to this variable The second derivative is the derivative of and is denoted Newton s notation most commonly used for the derivative with respect to time If x is a variable depending on time then read as x dot is its derivative with respect to time In particular if x represents a moving point then is its velocity Newton s notation for the second derivative If
Why are some functions denoted by capital letters For example an ODE is represented by the equation F t y y yn 0 F t y y y n 0 Here what I understand is that F is actually
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D A e B X g f r 192665 A B C D E F G Q R S T U V W X Y Z
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