| Stan's Library recent entries |
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| Eulogy |
Eulogy of the late Roy H. Bible
Recollection of an early NMR enthusiast.
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| Poster |
GSD in Metabolomics:
Absolute Quantification and GSD Binning
The first reported application of GSD to metabolomics.
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| Poster |
Progress in Bayesian DOSY and ROSY Transforms
Report on improvements made possible by combining GSD with the BDT algorithm.
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| Article |
Mathematical Means and Averages: Hermean, alias Generalized Logarithmic Mean
The limit of generalized Heronian means Her(k,a): existence and a closed formula.
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| DataSet |
Varian EM360/A/L 60 MHz Spectra Set
Historic collection of CW HR-NMR spectra acquired on the EM360 instrument.
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| Article |
Generalized Heronian means III
Proof that no generalized Heronian mean is ever smaller than geometric mean.
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| Article |
Generalized Heronian means II
Proofs of Heronian means inequalities for two special cases.
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| Edu |
A Primer on Scalar Relaxation in NMR
Reviews the concept, including order-of magnitude estimates for organic molecules.
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| Code |
Three-point interpolation of a real function
This C code includes coordinate estimates and reliability of local minima/maxima.
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| Article |
A convex functions inequality
An inequality on means of convex function values at points evenly distributed over an interval.
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| Article |
Mathematical Means and Averages: Generalized Heronian means
A sweeping generalization of the Heronian mean to a parametrized family of means.
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| Edu |
Mathematical Means and Averages: Basic Properties
Primer on means, averages, and their properties with innovative definitions.
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| Biography |
The Life of Professor Fuchun Yu
Biography of a great physicists and co-discoverer of NMR chemical shifts.
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| Poster |
The Bumpy Road towards Automatic Global Spectral Deconvolution (GSD)
With GSD finally operative, the lessons we have learned.
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| Article |
New asymptotic expansion for the Γ(x) function (an update)
Adds estimates of the remainder for an asumptotic series published earlier.
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