Numerical range

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Possible Answers:

SCALE.

Last seen on: USA Today Crossword – Apr 21 2020

Random information on the term “Numerical range”:

Given a Hilbert space with a tensor product structure a product numerical range is defined as a numerical range with respect to the subset of product vectors. In some situations, especially in the context of quantum mechanics product numerical range is known as local numerical range

Let X {\displaystyle X} be an operator acting on an N {\displaystyle N} -dimensional Hilbert space H N {\displaystyle {\mathcal {H}}_{N}} . Let Λ ( X ) {\displaystyle \mathrm {\Lambda } (X)} denote its numerical range, i.e. the set of all λ {\displaystyle \lambda } such that there exists a normalized state | ψ ⟩ ∈ H N {\displaystyle {|\psi \rangle }\in {\mathcal {H}}_{N}} , | | ψ | | = 1 {\displaystyle ||\psi ||=1} , which satisfies ⟨ ψ | X | ψ ⟩ = λ {\displaystyle {\langle \psi |}X{|\psi \rangle }=\lambda } .

Numerical range on Wikipedia

Random information on the term “SCALE”:

Linux began in 1991 as a personal project by Finnish student Linus Torvalds: to create a new free operating system kernel. The resulting Linux kernel has been marked by constant growth throughout its history. Since the initial release of its source code in 1991, it has grown from a small number of C files under a license prohibiting commercial distribution to the 4.15 version in 2018 with more than 23.3 million lines of source code, not counting comments, under the GNU General Public License v2.(p7)

After AT&T had dropped out of the Multics project, the Unix operating system was conceived and implemented by Ken Thompson and Dennis Ritchie (both of AT&T Bell Laboratories) in 1969 and first released in 1970. Later they rewrote it in a new programming language, C, to make it portable. The availability and portability of Unix caused it to be widely adopted, copied and modified by academic institutions and businesses.

In 1977, the Berkeley Software Distribution (BSD) was developed by the Computer Systems Research Group (CSRG) from UC Berkeley, based on the 6th edition of Unix from AT&T. Since BSD contained Unix code that AT&T owned, AT&T filed a lawsuit (USL v. BSDi) in the early 1990s against the University of California. This strongly limited the development and adoption of BSD.

SCALE on Wikipedia