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What is another word for Hilbert Space?

Pronunciation: [hˈɪlbət spˈe͡ɪs] (IPA)

Hilbert space is a term used in mathematics and physics to describe a particular type of vector space. However, there are several other words that can be used as synonyms for "Hilbert Space," including complete inner product space, infinite-dimensional Euclidean space, and L2-space. While these terms all have slightly different technical meanings, they are all related to the concept of a Hilbert space and are often used interchangeably. Other related terms include Banach spaces, which are similar to Hilbert spaces but have slightly different mathematical properties, and Sobolev spaces, which are used in the study of partial differential equations. Regardless of the specific term used, Hilbert spaces are an important mathematical tool in many areas of science and engineering.
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Synonyms for Hilbert space:

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What are the hypernyms for Hilbert space?

A hypernym is a word with a broad meaning that encompasses more specific words called hyponyms.

Famous quotes with Hilbert space

  • My real speciality is the mathematical analysis of Hilbert Space operators. But this was no time to come on like an ivory-tower idealist.
    Rudy Rucker
  • Was I to be Earth's first casualty in the Attack of the Giant Ass From Hilbert Space?
    Rudy Rucker
  • At the most elemental level, reality evanesces into something called Schröedinger's Wave Function: a mathematical abstraction which is best represented as a pattern in an infinite-dimensional space, Hilbert Space. Each point of the Hilbert Space represents a possible state of affairs. The wave function for some one physical or mental system takes the form of, let us say, a of Hilbert Space. The brightly colored parts represent likely states for the system, the dim parts represent less probable states of affairs.
    Rudy Rucker
  • The matter of color is more confusing. Not every property of a system can be stated as a definite spatio-temporal state of affairs. A system's tendency, for instance, to move from State A to State B, but not from State B to State A . . . a tendency like this is not any specific event which you can point to in space and time. These nonspecific properties correspond to overall in the Hilbert Space coloring. Alternating bands of red and green light might, for example, represent a particle which is moving from left to right but which has no specific location. A good mood could be a golden haze not tied to any particular cause.
    Rudy Rucker
  • For whatever reason, we find it easier to "read" Hilbert Space patterns in terms of time. Yet the patterns exist outside of time. Thinking timelessly is not some unusual skill; when you remember last night's supper you sense a whole and not a chew-by-chew replay. To know a novel's action is to grasp the four-dimensional spacetime whole described.
    Rudy Rucker

Related words: Hilbert space, Hilbert manifold, Hilbert's third problem, Hilbert space notation, Hilbert transform

Related questions:

  • Is hilbert space linear?
  • What is a hilbert space?
  • What is the difference between riemannian and hilbert space?
  • Does degeneracy of a hilbert space depend on the metric?

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