Results 61 to 70 of about 137,282 (201)
A lemma in transcendental number theory [PDF]
"LEMMA. Suppose p, q, p > qY, r, r, are positive rational integers, e> 0 and y are fixed, and all the numbers a1, aM2, ..., 9 'Mq, as well as the numbers P12, 2 . .P Pr are distinct and arranged in order of increasing absolute values, in other words, lakl _I lak+1I and |Pk| _ jIk+11. We set Ia,qI =,a, I PrI =P and suppose that there exist constants yo >
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ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley +1 more source
An explicit solution for calculating optimum spawning stock size from Ricker’s stock recruitment model [PDF]
Stock-recruitment models have been used for decades in fisheries management as a means of formalizing the expected number of offspring that recruit to a fishery based on the number of parents.
Mark D. Scheuerell
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On the Powers of Some Transcendental Numbers [PDF]
We construct a transcendental number α whose powers αn!,n= 1, 2, 3,…, modulo 1 are everywhere dense in the interval [0, 1]. Similarly, for any sequence of positive numbers δ = (δn)∞n=1, we find a transcendental number α = α(δ) such that the inequality {αn} < δnholds for infinitely manyn∈ N, no matter how fast the sequence δ converges to zero ...
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Curious Continued Fractions, Nonlinear Recurrences and Transcendental Numbers [PDF]
We consider a family of integer sequences generated by nonlinear recurrences of the second order, which have the curious property that the terms of the sequence, and integer multiples of the ratios of successive terms (which are also integers), appear ...
Hone, Andrew N.W.
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The soul of the soil: Unearthing a Nation's eco‐empathy through 1200 years of Persian poetry
Abstract Cultivating a profound sense of connection with the natural world, conceptualized as eco‐empathy, is increasingly recognized as a vital precursor to effective environmental stewardship. While scientific data frame ecological crises, literary traditions offer a unique archive for tracing the history of this empathetic bond. This study positions
Isa Esfandiarpour‐Boroujeni +7 more
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Large area crystalline silicon solar cells fabricated on ultra‐thin (80 μ$$ \upmu $$m) Si wafer featuring polysilicon‐based passivating contacts on both sides can further increase the energy output per unit weight. In this work, the large area, screen‐printed solar cells with high temperature fire‐through contacts, yielded an exceptional efficiency‐to ...
Yuchi Lan +5 more
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Multiplicative processes as a source of fat-tail distributions
Many works in the literature are in favour of the universality of power-laws. However, more recently, a significant amount of research has exposed more subtle details about this subject.
Fabio G. Guerrero, Angel Garcia-Baños
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Abstract Reflective teaching (RT) is influenced by a range of cognitive, pedagogical, and psycho‐affective factors in second/foreign language (L2) education. However, empirical evidence on the influence of psycho‐affective variables on teachers' reflectivity remains limited.
Lili Qin +2 more
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Hopf Algebras and Transcendental Numbers [PDF]
In dealing with multiple zeta values, the main diophantine challenge is to prove that known dependence relations among them suffice to deduce all algebraic relations. One tool which should be relevant is the structure of Hopf Algebras, which occurs in several disguises in this context.
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