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Sum of Parts:USU Scientist Uses Math to Aid Environmental Restoration
Sum of Parts Scientist Math Environmental Restoration
2017/2/23
The oft-quoted proverb, “Too many cooks spoil the broth,” is apt wisdom for describing challenges facing policy makers, public resource managers, ag producers, industry, residents and other ...
When Does Non-Negative Matrix Factorization Give a Correct Decomposition into Parts?
Non-Negative Matrix Factorization Parts
2015/8/21
We interpret non-negative matrix factorization geometrically, as the
problem of finding a simplicial cone which contains a cloud of data
points and which is contained in the positive orthant.
Derivative Formula, Integration by Parts Formula and Applications for SDEs Driven by Fractional Brownian Motion
Derivative formula integration by parts formula Harnack inequality stochastic differential equation fractional Brownian motion
2012/6/5
In the paper, the Bismut derivative formula is established for multidimensional SDEs driven by additive fractional noise ($1/2arnack inequality is given. Through a Lamperti t...
Congruences for Bipartitions with Odd Parts Distinct
partition bipartition congruence birank
2011/6/3
Hirschhorn and Sellers studied arithmetic properties of the number of partitions with odd parts distinct. In another direction, Hammond and Lewis investigated arithmetic properties of the number of bi...
Generalized compositions with a fixed number of parts
binomial coefficients Catalan numbers compositions
2010/12/31
e investigate compositions of a positive integer with a fixed num-ber of parts, when there are several types of each natural number. These compositions produce new relationships among binomial coeffic...
Inaccessibility and Subinaccessibility. In two parts. Part II
Inaccessibility Subinaccessibility
2010/11/1
The work presents the second part of the second edition of its previous one published in 2000 under the same title, containing the proof (in $ZF$) of the inaccessible cardinals nonexistence, which is...
On fractional parts of powers of real numbers close to 1
fractional parts of powers real numbers close to 1
2010/9/1
We prove that there exist arbitrarily small positive real num-bers " such that every integral power (1 + ")n is at a distance greater than 2−17"| log "|−1 to the set of rational integers. ...
On an Integration-by-parts Formula for Measures
Integration-by-parts formula Harmonic sequences Inequalities
2008/6/30
An integration-by-parts formula, involving finite Borel measures supported by intervals on real line, is proved. Some applications to Ostrowski-type and Grüss-type inequalities are presented.