Results 61 to 70 of about 84,803 (254)

Role of Numerical Symbolism in Interpreting Relations and Properties of Reality

Научный диалог, 2017
The role of numerical symbolism in the interpretation of the results of understanding the surrounding reality, interpreting its relations and properties, forming the image of the world is considered.
E. V. Fedyaeva
doaj   +1 more source

Schanuel’s Conjecture and the Transcendence of Power Towers

Mathematics, 2021
We give three consequences of Schanuel’s Conjecture. The first is that P(e)Q(e) and P(π)Q(π) are transcendental, for any non-constant polynomials P(x),Q(x)∈Q¯[x]. The second is that π≠αβ, for any algebraic numbers α and β.
Eva Trojovská, Pavel Trojovský
doaj   +1 more source

Synthesis of Telechelic‐Type Polypeptides Functionalized with Aromatic Units and the Characterization of Their Structures and Thermal Properties

Macromolecular Rapid Communications, EarlyView.
Polypeptide chains were extended from both ends of aromatic diamines by chemoenzymatic polymerization, resulting in the synthesis of telechelic polyglycines (TPG) and polyalanines (TPA). These telechelic polymers assembled into branched nanofibrils through π‐π stacking of aromatic rings, with the polymer backbones bent at the aromatic unit.
Yusuke Ueno, Kousuke Tsuchiya, Hiroyasu Masunaga, Keiji Numata   +3 more
wiley   +1 more source

A lemma in transcendental number theory [PDF]

Transactions of the American Mathematical Society, 1969
"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 >
openaire   +1 more source

Analysis of a Novel Time‐Continuous Dimer Growth Model Describing One Possible Cause of Alzheimer's Disease and a Time‐Discretization for Its Numerical Simulation

Mathematical Methods in the Applied Sciences, EarlyView.
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

On the Powers of Some Transcendental Numbers [PDF]

Bulletin of the Australian Mathematical Society, 2007
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 ...
openaire   +1 more source

The soul of the soil: Unearthing a Nation's eco‐empathy through 1200 years of Persian poetry

People and Nature, EarlyView.
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, Ali Shahriari, Leila Kordbacheh, Zohreh Mosleh, Reyhaneh Nejadasadi, Hosnieh Shahriari, Fatemeh Aliabbasi, Reza Mohajer   +7 more
wiley   +1 more source

Expansion around half-integer values, binomial sums and inverse binomial sums

, 2004
I consider the expansion of transcendental functions in a small parameter around rational numbers. This includes in particular the expansion around half-integer values.
Bauer C., Blümlein J., Borwein J. M., Borwein J. M., Catani S., Davydychev A. I., Davydychev A. I., Euler L., Fleischer J., Fleischer J., Gehrmann T., Gonzalez-Arroyo A., Gonzalez-Arroyo A., Jegerlehner F., Kalmykov M. Y., Kosower D. A., Kosower D. A., Moch S., Moch S., Nielsen N., Ogreid O. M., Phaf L., Remiddi E., Stefan Weinzierl, Vermaseren J. A. M., Weinzierl S., Weinzierl S., Weinzierl S.   +27 more
core   +2 more sources

Discrete Geometrical Invariants in 3D Space: How Three Random Sequences Can Be Compared in Terms of “Universal” Statistical Parameters

Frontiers in Physics, 2020
Previous work has determined the discrete geometrical invariant (DGI) in 2D space, which allows the analysis of a pair of random sequences ([r1k, r2k], k = 1,2,…N) containing an equal number of data points to be reduced to eight “universal” parameters ...
Raoul R. Nigmatullin
doaj   +1 more source

Ultra‐Thin Bipoly Solar Cells With Front Selective n$$ n $$‐Type TOPCon and Rear Blanket p$$ p $$‐Type TOPCon Layers

Progress in Photovoltaics: Research and Applications, EarlyView.
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, John Derek Arcebal, Gabby De Luna, Pradeep Padhamnath, Armin Gerhard Aberle, Aaron Danner   +5 more
wiley   +1 more source