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 taking a vector …

Jan 11, 2022 · Functional neurologic disorder is related to how the brain functions, rather than damage to the brain's structure (such as from a stroke, multiple sclerosis, infection or injury). …

Jan 4, 2025 · Functional dyspepsia is a term used to describe a lingering upset stomach that has no obvious cause. Functional dyspepsia (dis-PEP-see-uh) also is called nonulcer dyspepsia. …

May 24, 2015 · Functional analysis is, for a large part, linear algebra on a infinite dimensional vector space over the real or complex numbers. Having a good intuition from linear algebra is …

Apr 4, 2020 · notice that the RHS is equivalent to the functional derivative defined above. However, it is $$\frac{\delta F}{\delta \rho} (x)$$ that is defined to be the functional derivative, …

Also a few other equations related to this equation are often studied. (Equations which can be easily transformed to Cauchy functional equation or can be solved by using similar methods.) …

Jan 4, 2025 · Functional dyspepsia that can't be managed with lifestyle changes may need treatment. Treatment depends on symptoms. It may combine medicines and behavior therapy. …

Jan 11, 2022 · Treatment for functional neurologic disorder will depend on your particular signs and symptoms. For some people, a multispecialty team approach that includes a neurologist; …

May 12, 2022 · Functional use of the hands, arms or legs; Blood circulation and heart health; Aerobic conditioning and overall fitness; Ability to prevent loss of bone density; Functional …

A Taylor-series expansion of the density functional F[n] is constructed from the given expansion for the energy E[v]. The formalism is used to investigate the noninteracting kinetic-energy …