【教程】function analysis

OLS

' h5 k2 d7 c: F% Q) d1 h7 |
% f# C2 P( U0 F1 ?8 h* pIn mathematics, a functional is traditionally a map from a vector space to the field underlying the vector space, which is usually the real numbers. In other words, it is a function that takes a vector as its argument or input and returns a scalar. Its use goes back to the calculus of variations where one searches for a function which minimizes a certain functional. A particularly important application in physics is to search for a state of a system which minimizes the energy functional.
& P# _8 K9 ~) W( ^$ y) Y7 Y8 aIn functional analysis, the functional is also used in a broader sense as a mapping from an arbitrary vector space into the underlying scalar field (usually, real or complex numbers). A special kind of such functionals, linear functionals, gives rise to the study of dual spaces.
6 R0 y& _7 M1 V" f; cTransformations of functions is a somewhat more general concept, see operator.

rzy1027

good boy,thanks a lot

koutyayh

居然是word版的，很少见啊，就是楼主没有说清楚是谁写的，不然就更好了

张会婷

谢谢!!!!!!!加油！！！！！！！！