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WordNet-Online
Definitions from WordNet | ||||
Definitions from the WebHilbert SpacesA Hilbert space is a complete inner product space that allows for the mathematical representation of infinite-dimensional systems and functions. It was named after the German mathematician David Hilbert. Senses:Sense 1 (Mathematics):NounA Hilbert space is a complete inner product space, typically represented by vectors and equipped with an inner product that allows for the measurement of lengths and angles. Example Sentence:Consider a Hilbert space H, where H is a separable infinite-dimensional Hilbert space. Sense 2 (Physics):NounHilbert spaces find extensive applications in quantum mechanics and other areas of physics. They provide a mathematical framework for the description of physical states and observables. Example Sentence:The wavefunction of a quantum particle can be represented as a vector in a Hilbert space. Related Products: | ||||
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