Isospin and the Bohr Independence Hypothesis

1972 ◽  
Vol 5 (2) ◽  
pp. 463-476 ◽  
Author(s):  
Louis C. Vaz ◽  
C. C. Lu ◽  
J. R. Huizenga
Keyword(s):  
Independence Hypothesis

scholarly journals Limiting Properties of the Distribution of Primes in an Arbitrarily Large Number of Residue Classes

2020 ◽  
Vol 63 (4) ◽  
pp. 837-849 ◽  
Author(s):  
Lucile Devin
Keyword(s):  
Riemann Hypothesis ◽  
Linear Independence ◽  
Classical Case ◽  
Weak Version ◽  
Distribution Of Primes ◽  
Logarithmic Density ◽  
Fixed Integer ◽  
Residue Classes ◽  
Independence Hypothesis ◽  
And Function

AbstractWe generalize current known distribution results on Shanks–Rényi prime number races to the case where arbitrarily many residue classes are involved. Our method handles both the classical case that goes back to Chebyshev and function field analogues developed in the recent years. More precisely, let $\unicode[STIX]{x1D70B}(x;q,a)$ be the number of primes up to $x$ that are congruent to $a$ modulo $q$. For a fixed integer $q$ and distinct invertible congruence classes $a_{0},a_{1},\ldots ,a_{D}$, assuming the generalized Riemann Hypothesis and a weak version of the linear independence hypothesis, we show that the set of real $x$ for which the inequalities $\unicode[STIX]{x1D70B}(x;q,a_{0})>\unicode[STIX]{x1D70B}(x;q,a_{1})>\cdots >\unicode[STIX]{x1D70B}(x;q,a_{D})$ are simultaneously satisfied admits a logarithmic density.

scholarly journals Scale-Independent Aggression: A Fractal Analysis of Four Levels of Human Aggression

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Julia J. C. Blau ◽  
Alexandra Paxton
Keyword(s):  
Fractal Structure ◽  
Body Movement ◽  
The United States ◽  
Armed Conflicts ◽  
Face To Face ◽  
Mixed Support ◽  
Fractal Analyses ◽  
Independence Hypothesis ◽  
Behavioral Domain ◽  
Four Levels

Using fractal analyses to study events allows us to capture the scale-independence of those events, that is, no matter at which level we study a phenomenon, we should get roughly the same results because events exhibit similar structure across scales. This is demonstrably true in mathematical fractals but is less assured in behavioral fractals. The current research directly tests the scale-independence hypothesis in the behavioral domain by exploring the fractal structure of aggression, a social phenomenon comprising events that span temporal scales from minutes of face-to-face arguments to centuries of international armed conflicts. Using publicly available data, we examined the temporal fractal structure of four scales of aggression: wars (very macrolevel, worldwide data), riots (macrolevel, worldwide data), violent crimes (microlevel, data gathered from cities and towns in the United States of America), and body movement during arguments (very microlevel, data gathered on American participants). Our results lend mixed support to the scale-independence hypothesis and provide insight into the self-organization of human interactions.

Assessment of reproductive wastage in sheep. 1. Fertilization failure and early embryonic survival

1976 ◽  
Vol 16 (80) ◽  
pp. 329 ◽  
Author(s):  
BJ Restall ◽  
GH Brown ◽  
MdeB Blockey ◽  
L Cahill ◽  
R Kearins
Keyword(s):  
Binomial Distribution ◽  
Fertilization Rate ◽  
Parameter Estimates ◽  
Fertilization Failure ◽  
Embryonic Survival ◽  
Adequate Information ◽  
Independence Hypothesis

The measurement of fertilization rate and embryonic survival in ewe flocks has been examined from both a theoretical and practical viewpoint. An hypothesis of independence (of survival) for ova or zygotes in multiple ovulating ewes was tested in data obtained from four adult and four maiden ewe flocks mated during the autumn, both crossbred and Merino ewes being examined. Only the adult ewe flocks, with reasonable numbers of multiple ovulating ewes, provided adequate information to test the hypothesis. The data for fertilization rate showed significant deviation from the hypothesised binomial distribution (independence hypothesis). Fertilization appeared to be 'all or none'; that is, irrespective of the number of eggs present in the ewe, they were either all fertilized or all not fertilized. An 'all or none' model for fertilization is described and parameter estimates given. Data for embryonic survival in single and twin ovulating ewes were in agreement with the binomial distribution and the independence hypothesis was accepted. Methods are described for using the 'all or none' and the 'independence' models to obtain estimates of fertilization rate and embryonic survival in investigations of ewe infertility.

Test of the independence hypothesis and isospin conservation in compound-statistical reactions

1973 ◽  
Vol 212 (1) ◽  
pp. 1-17 ◽  
Author(s):  
J. Wiley ◽  
J.C. Pacer ◽  
C.R. Lux ◽  
N.T. Porile
Keyword(s):  
Independence Hypothesis

scholarly journals Test of the Independence Hypothesis by Angular Distribution Measurements

1970 ◽  
Vol 2 (2) ◽  
pp. 595-607 ◽  
Author(s):  
D. M. Montgomery ◽  
N. T. Porile
Keyword(s):  
Angular Distribution ◽  
Independence Hypothesis

Investigation of the Bohr-Independence Hypothesis for Nuclear Reactions in the Continuum:α+Co59,p+Ni62andα+Fe56,p+Cl59

1970 ◽  
Vol 2 (4) ◽  
pp. 1581-1581
Author(s):  
M. J. Fluss ◽  
F. M. Miller ◽  
J. M. D'Auria ◽  
N. Dudey ◽  
B. M. Foreman ◽  
...  
Keyword(s):  
Nuclear Reactions ◽  
Independence Hypothesis
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