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Single-Cone vs. Carrier-Based Root Canal Obturation with a Calcium-Silicate-Based Sealer: An In Vitro µ-CT Analysis. [PDF]

open access: yesBiomimetics (Basel)
Tosco V   +5 more
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On the Distribution of Roots of Polynomials

The Annals of Mathematics, 1950
Soit \(f(z)=a_0+a_1z+ \cdots + a_nz^n\) un polynôme de degré \(n\) à coefficients complexes, et posons \(P={|a_o|+ \cdots +|a_n| \over \sqrt {|a_0 a_n|}}\). Soient \(z_\nu =r_\nu e^{i\varphi_\nu} (1 \leq \nu \leq n)\) les racines de ce polynôme; les AA., par un ingénieux raisonnement, montrent que lorsque \(n\) croît indéfiniment, si \(P\) n'est pas ...
Erdős, Pál, Turán, Pál
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On the distribution of r-full primitive roots

Proceedings - Mathematical Sciences, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laohakosol, Vichian   +2 more
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Distribution of roots of random polynomials

Physical Review Letters, 1992
Summary: We consider polynomials of high degree with random coefficients which appear in the context of ``quantum chaotic'' dynamics and investigate various conditions under which their roots tend to concentrate near the unit circle in the complex plane. Correlation functions of roots are computed analytically.
Bogomolny, E., Bohigas, O., Leboeuf, P.
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Root distribution for the ellipse

IEEE Transactions on Automatic Control, 1982
It is shown that the number of characteristic roots of a given matrix (or polynomial) inside, outside, and on the boundary, of a given ellipse, can be determined by a common half-plane test (e.g., Routh test). The test should be performed on a polynomial which is received from the original characteristic polynomial by a simple transformation.
Walach, E., Zeheb, E.
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Root distribution of fourVitis cultivars

Plant and Soil, 1983
Root distribution of four Vitis cultivars at one location in Texas was asessed using trench profile and soil core sampling methods. Greater differences were obtained among cultivars utilizing the latter method when comparing root dry weights. Surface area of roots extracted from soil samples was estimated using a calcium nitrate slurry dip.
R. L. Perry, S. D. Lyda, H. H. Bowen
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The Distribution of Primitive Roots

Canadian Journal of Mathematics, 1969
Notation,p and q are generic symbols for prime numbers. N(H, p) denotes the number of primes q, not exceeding Hy which are primitive roots (mod p).g(p) denotes the least positive primitive root (mod p).g*(p) is the least prime primitive root (mod p).v(m) denotes the number of distinct prime divisors of the integer m.τk(m) is the number of ways of ...
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The Fractional Unit Root Distribution

Econometrica, 1990
Asymptotic distributions are derived for the ordinary least squares estimate of a first order autoregression model when the series is fractionally integrated. The fractional unit root distribution is introduced to describe the limiting distribution.
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