Functional features of energy storage containers
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Good book for self study of functional analysis
It is a nice read for someone with only an undergrad analysis course. My favorite, although you might have trouble with your background, is Applications of Functional Analysis
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Give some example of linear functional?
A much more interesting example of a linear functional is this: take as your vector space any space of nice functions on the interval $ [0,1]$, for example the space of continuous
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What are the applications of functional analysis?
If anything unrelated is called functional analysis, then it must be a very useful branch of mathematics, quite trivially. But if we stick to some Wikipedia definitions, then
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Video lectures on Functional Analysis
I am looking for excellent VIDEO lectures on functional analysis. They should be (1) in English (2) the video quality and voice is good (3) the lecture should not be presented in
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What is the difference between an function and functional?
In the context of functional analysis, a functional is a function from a vector space to its base field (usually $mathbb {R}$ or $mathbb {C}$). In many important cases they are
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calculus of variations
I do not understand, if the functional derivative is a function a generalized function (distribution) a functional itself something different (see Euler-Lagrange) To clarify my
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calculus
The modern technical definition of a functional is a function from a vector space into the scalar field. For example, finding the length of a vector is a (non-linear) functional, or
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How to find the energy functional of a given PDE?
Existence does not even follow for ODE, there are some ODEs that do and can not have an associated Lagrangian (and therefore energy functional). This means they are not the
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What is the difference between Real Analysis, Mathematical
What is the difference between Real Analysis, Mathematical Analysis, Functional Analysis, and Calculus? And is Analysis is the general field to all of them?
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general topology
This leads to a variety of questions: The main being; What does the Minkowski Functional do? In the case of X not being a metric (non-metrizable) space,does the Minkowski
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