Completeness of the hypergeometric solutions of the 𝑞𝐾𝑍 equation at level zero

2000 ◽  
pp. 309-321
Author(s):  
V. Tarasov
Keyword(s):  
Level Zero ◽  
Hypergeometric Solutions

A Stochastic Model for the Inheritance of the Cancer Proneness Phenotype

1987 ◽  
Vol 26 (03) ◽  
pp. 117-123
Author(s):  
P. Tautu ◽  
G. Wagner
Keyword(s):  
Stochastic Model ◽  
Gaussian Process ◽  
Covariance Function ◽  
Neoplastic Disease ◽  
Disease Phenotype ◽  
Probabilistic Representation ◽  
Temporal Behaviour ◽  
Continuous Trait ◽  
Continuous Parameter ◽  
Level Zero

SummaryA continuous parameter, stationary Gaussian process is introduced as a first approach to the probabilistic representation of the phenotype inheritance process. With some specific assumptions about the components of the covariance function, it may describe the temporal behaviour of the “cancer-proneness phenotype” (CPF) as a quantitative continuous trait. Upcrossing a fixed level (“threshold”) u and reaching level zero are the extremes of the Gaussian process considered; it is assumed that they might be interpreted as the transformation of CPF into a “neoplastic disease phenotype” or as the non-proneness to cancer, respectively.

ANALISIS TATANIAGA TANDAN BUAH SEGAR KELAPA SAWIT DI DESA TEMPAKAN KECAMATAN BATU ENGAU KABUPATEN PASER (Marketing Analysis of Fresh Fruit Bunches of Oil Palm in Tempakan Village, Batu Engau Subregency, Paser Regency)

2019 ◽  
Vol 2 (2) ◽  
pp. 113
Author(s):  
SIMON SUTRADO SIMANJUNTAK ◽  
ACHMAD ZAINI
Keyword(s):  
Oil Palm ◽  
Sampling Method ◽  
Marketing Channel ◽  
Marketing Channels ◽  
Fresh Fruit ◽  
Snowball Sampling ◽  
Level Zero ◽  
Average Share ◽  
Marketing Analysis ◽  
Fresh Fruit Bunches

The purposes of this study were to know marketing channel, marketing margin, share, and marketing profit of fresh fruit bunches of oil palm in Tempakan Village, Batu Engau Subregency, Paser Regency. The study was conducted from June to August 2016. The sampling method was done with two ways as random sampling in farmer level and in marketing channel as snowball sampling. Data analysis were done by calculating marketing margin, share, and marketing profit. The results of this study showed that there are two marketing channels in reserach location are channel of level zero and channel of level one. Marketing margin in farmer level was Rp40.39 kg-1 and margin in whole trader level was Rp314.44 kg-1. The average share of farmer level was 97.58% and in trader level was 81.48%. Margin and share that profitable for farmer is at channel of level zero. The average of profit in whole trader level of fresh fruit bunches was 112.75%, that meant marketing by whole trader is profitable.

scholarly journals Level Zero Trigger Processor for the NA62 experiment

2018 ◽  
Vol 13 (05) ◽  
pp. P05004-P05004 ◽  
Author(s):  
D. Soldi ◽  
S. Chiozzi
Keyword(s):  
Level Zero

scholarly journals D5(1)-Geometric crystal corresponding to the Dynkin spin node i = 5 and its ultra-discretization

2019 ◽  
Vol 18 (12) ◽  
pp. 1950227 ◽  
Author(s):  
Mana Igarashi ◽  
Kailash C. Misra ◽  
Suchada Pongprasert
Keyword(s):  
Explicit Formula ◽  
Lie Algebra ◽  
Perfect Crystal ◽  
Index Set ◽  
Limit Formula ◽  
Affine Lie Algebra ◽  
Level Zero

Let [Formula: see text] be an affine Lie algebra with index set [Formula: see text] and [Formula: see text] be its Langlands dual. It is conjectured that for each Dynkin node [Formula: see text] the affine Lie algebra [Formula: see text] has a positive geometric crystal whose ultra-discretization is isomorphic to the limit of certain coherent family of perfect crystals for [Formula: see text]. In this paper, we construct a positive geometric crystal [Formula: see text] in the level zero fundamental spin [Formula: see text]-module [Formula: see text]. Then we define explicit [Formula: see text]-action on the level [Formula: see text] known [Formula: see text]-perfect crystal [Formula: see text] and show that [Formula: see text] is a coherent family of perfect crystals with limit [Formula: see text]. Finally, we show that the ultra-discretization of [Formula: see text] is isomorphic to [Formula: see text] as crystals which proves the conjecture in this case.

scholarly journals Generalized-Hypergeometric Solutions of the General Fuchsian Linear ODE Having Five Regular Singularities

Axioms ◽  
2019 ◽  
Vol 8 (3) ◽  
pp. 102 ◽  
Author(s):  
Ishkhanyan ◽  
Cesarano
Keyword(s):  
Differential Equation ◽  
Hypergeometric Function ◽  
Singular Points ◽  
Polynomial Equations ◽  
Generalized Hypergeometric Function ◽  
Characteristic Exponents ◽  
Linear Ode ◽  
Hypergeometric Solutions

We show that a Fuchsian differential equation having five regular singular points admits solutions in terms of a single generalized hypergeometric function for infinitely many particular choices of equation parameters. Each solution assumes four restrictions imposed on the parameters: two of the singularities should have non-zero integer characteristic exponents and the accessory parameters should obey polynomial equations.

A Stochastic Model for the Inheritance of the Cancer Proneness Phenotype

1987 ◽  
Vol 26 (03) ◽  
pp. 117-123
Author(s):  
P. Tautu ◽  
G. Wagner
Keyword(s):  
Stochastic Model ◽  
Gaussian Process ◽  
Covariance Function ◽  
Neoplastic Disease ◽  
Disease Phenotype ◽  
Probabilistic Representation ◽  
Temporal Behaviour ◽  
Continuous Trait ◽  
Continuous Parameter ◽  
Level Zero

SummaryA continuous parameter, stationary Gaussian process is introduced as a first approach to the probabilistic representation of the phenotype inheritance process. With some specific assumptions about the components of the covariance function, it may describe the temporal behaviour of the “cancer-proneness phenotype” (CPF) as a quantitative continuous trait. Upcrossing a fixed level (“threshold”) u and reaching level zero are the extremes of the Gaussian process considered; it is assumed that they might be interpreted as the transformation of CPF into a “neoplastic disease phenotype” or as the non-proneness to cancer, respectively.

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