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  • 30D10  (1)
  • Breast volume  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Lehmer pairs of zeros, the de Bruijn-Newman constant Λ, and the Riemann Hypothesis (1994)
    Springer
    Constructive approximation 10 (1994), S. 107-129 
    Details
    ISSN: 1432-0940
    Keywords: 30D10 ; 30D15 ; Riemann Hypothesis ; de Bruijn-Newman constant ; Lehmer pairs of zeros
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We give here a rigorous formulation for a pair of consecutive simple positive zeros of the functionH 0 (which is closely related to the Riemann ξ-function) to be a “Lehmer pair” of zeros ofH 0. With this formulation, we establish that each such pair of zeros gives a lower bound for the de Bruijn-Newman constant Λ (where the Riemann Hypothesis is equivalent to the assertion that Λ≤0). We also numerically obtain the following new lower bound for Λ: $$ - 4.379 \cdot 10^{ - 6}〈 \Lambda $$
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01205170
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  • 2
    Electronic Resource
    Electronic Resource
    Validity and reliability of biostereometric measurement of the human female breast (1986)
    Springer
    Annals of biomedical engineering 14 (1986), S. 1-14 
    Details
    ISSN: 1573-9686
    Keywords: Stereophotogrammetry ; Validity ; Reliability ; Breast volume
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine , Technology
    Notes: Abstract A measurement technique has been developed for application in the area of noninvasive breast cancer detection. The measurement process involves the use of closerange stereophotogrammetry as a data acquisition device necessary for determination of breast volume and volume distribution. This report details the methodology used to acquire and analyze stereopair photographs necessary to document the validity and reliability of this application. The volume of a test object was determined by both water displacement and stereophotogrammetric analysis to estimate the precision of the proposed methodology. Additionally, the reliability component of the study was documented by analyzing variability of coordinates representing a series of locations marked on the surface of an irregularly shaped object. Both tests confirm that this stereometric analysis is a reliable and valid method of measurement and may be well suited for further development in the field of breast cancer detection.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02364645
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    Paper (German National Licenses)
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