# numerical range

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## numerical range

[nü′mer·i·kəl ′rānj]
(mathematics)
For a linear operator T of a Hilbert space into itself, the set of values assumed by the inner product of Tx with x as x ranges over the set of vectors with norm equal to 1.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The score places households into four categories, linked to a numerical range, on the retirement preparedness spectrum, based on their ability to cover all estimated retirement expenses in a down market: needs attention, 0--65; fair, 66--80; good, 81--95; and on target, 96--150+.
Recall that for a bounded operator T on a complex Hilbert space H, the numerical range W(T) of T is defined as
On the Numerical Range of the Product of a Composition Operator with Its Adjoint.
The content of GCSEs is now changing in both countries and when England introduces its new grading system, which will replace the current A* to G with a numerical range from 1 to 9, any comparison will prove virtually impossible."
The field of values (also known as the numerical range) of a linear operator T : H [right arrow] H is the set of complex numbers
Symbolic measurement theory certainly involves in four kinds of transformations between two universes and value and symbol, and through the following four transformations: numerical range Q and symbolic range S; number-number transformation (Q-Q), number-symbol transformation (Q-S), symbol-symbol transformation (S-S) and symbol-number transformation (S-Q), of which Q-S transformer's function is to realize the transformation of number and symbol involving two universes Q and S.
In the final consensus, the group agreed that the scale should include separate evaluation of inflammatory and noninflammatory primary lesions; determination of the quantity of lesions by counting and numerical range; grading of extrafacial sites including the chest, back, neck, and shoulders; and determination of extent of involvement using proportion descriptors such as "one-third or less."
All materials in the titre spectrum from 235 to 60,000 dtex can be processed with production speeds of up to 450 m/min; the expanded numerical range opens up new markets for customers with creative products too.
For a in A, define the numerical range W(a) of a to be that of operator U(a), that is,
The account is completed by bars indicating body length and hindwing length accompanied by the numerical range of measurements.
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