About the Project

Haar%20measure

AdvancedHelp

(0.003 seconds)

1—10 of 126 matching pages

1: 35.4 Partitions and Zonal Polynomials
See Muirhead (1982, pp. 68–72) for the definition and properties of the Haar measure d 𝐇 . …
2: 35.1 Special Notation
a , b complex variables.
d 𝐇 normalized Haar measure on 𝐎 ( m ) .
3: Foreword
22 2 D. R. Lide (ed.), A Century of Excellence in Measurement, Standards, and Technology, CRC Press, 2001. The success of the original handbook, widely referred to as “Abramowitz and Stegun” (“A&S”), derived not only from the fact that it provided critically useful scientific data in a highly accessible format, but also because it served to standardize definitions and notations for special functions. … November 20, 2009 …
4: 35.5 Bessel Functions of Matrix Argument
5: 20 Theta Functions
Chapter 20 Theta Functions
6: Publications
  • R. F. Boisvert and D. W. Lozier (2001) Handbook of Mathematical Functions, in A Century of Excellence in Measurements Standards and Technology (D. R. Lide, ed.), CRC Press, pp. 135–139. PDF
  • B. I. Schneider, B. R. Miller and B. V. Saunders (2018) NIST’s Digital Library of Mathematial Functions, Physics Today 71, 2, 48 (2018), pp. 48–53. PDF
  • 7: Funding
  • Physical Measurement Laboratory (formerly Physics Laboratory)

  • 8: Charles W. Clark
    … …
    9: 2.4 Contour Integrals
    Furthermore, as t 0 + , q ( t ) has the expansion (2.3.7). For large t , the asymptotic expansion of q ( t ) may be obtained from (2.4.3) by Haar’s method. This depends on the availability of a comparison function F ( z ) for Q ( z ) that has an inverse transform …
    10: 27.17 Other Applications
    Schroeder (2006) describes many of these applications, including the design of concert hall ceilings to scatter sound into broad lateral patterns for improved acoustic quality, precise measurements of delays of radar echoes from Venus and Mercury to confirm one of the relativistic effects predicted by Einstein’s theory of general relativity, and the use of primes in creating artistic graphical designs.