scholarly journals On the mathematics and physics of high genus invariants of $[\mathbb{C}^3 / \mathbb{Z}_3]$

2009 ◽  
Vol 13 (3) ◽  
pp. 695-719 ◽  
Author(s):  
Vincent Bouchard ◽  
Renzo Cavalieri
Keyword(s):  
High Genus ◽  
Mathematics And Physics

Birds and frogs in mathematics and physics

2010 ◽  
Vol 180 (8) ◽  
pp. 859 ◽  
Author(s):  
F. Dyson
Keyword(s):  
Mathematics And Physics

Bottom-up Evolution from Disks to High-Genus Polymersomes

2018 ◽  
Author(s):  
Claudia Contini ◽  
Russell Pearson ◽  
Linge Wang ◽  
Lea Messager ◽  
Jens Gaitzsch ◽  
...  
Keyword(s):  
Self Assembly ◽  
The Self ◽  
Amphiphilic Copolymers ◽  
Chain Entanglement ◽  
Bottom Up ◽  
New Approach ◽  
High Genus ◽  
Transmission Electron ◽  
Minimal Radius ◽  
Stop Flow

<div><div><div><p>We report the design of polymersomes using a bottom-up approach where the self-assembly of amphiphilic copolymers poly(2-(methacryloyloxy) ethyl phosphorylcholine)–poly(2-(diisopropylamino) ethyl methacrylate) (PMPC-PDPA) into membranes is tuned using pH and temperature. We study this process in detail using transmission electron microscopy (TEM), nuclear magnetic resonance (NMR) spectroscopy, dynamic light scattering (DLS), and stop-flow ab- sorbance disclosing the molecular and supramolecular anatomy of each structure observed. We report a clear evolution from disk micelles to vesicle to high-genus vesicles where each passage is controlled by pH switch or temperature. We show that the process can be rationalised adapting membrane physics theories disclosing important scaling principles that allow the estimation of the vesiculation minimal radius as well as chain entanglement and coupling. This allows us to propose a new approach to generate nanoscale vesicles with genus from 0 to 70 which have been very elusive and difficult to control so far.</p></div></div></div>

Bottom-up Evolution from Disks to High-Genus Polymersomes

2018 ◽  
Author(s):  
Claudia Contini ◽  
Russell Pearson ◽  
Linge Wang ◽  
Lea Messager ◽  
Jens Gaitzsch ◽  
...  
Keyword(s):  
Self Assembly ◽  
The Self ◽  
Amphiphilic Copolymers ◽  
Chain Entanglement ◽  
Bottom Up ◽  
New Approach ◽  
High Genus ◽  
Transmission Electron ◽  
Minimal Radius ◽  
Stop Flow

<div><div><div><p>We report the design of polymersomes using a bottom-up approach where the self-assembly of amphiphilic copolymers poly(2-(methacryloyloxy) ethyl phosphorylcholine)–poly(2-(diisopropylamino) ethyl methacrylate) (PMPC-PDPA) into membranes is tuned using pH and temperature. We study this process in detail using transmission electron microscopy (TEM), nuclear magnetic resonance (NMR) spectroscopy, dynamic light scattering (DLS), and stop-flow ab- sorbance disclosing the molecular and supramolecular anatomy of each structure observed. We report a clear evolution from disk micelles to vesicle to high-genus vesicles where each passage is controlled by pH switch or temperature. We show that the process can be rationalised adapting membrane physics theories disclosing important scaling principles that allow the estimation of the vesiculation minimal radius as well as chain entanglement and coupling. This allows us to propose a new approach to generate nanoscale vesicles with genus from 0 to 70 which have been very elusive and difficult to control so far.</p></div></div></div>

Ingenious Mathematical Insights

2019 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
New Type ◽  
Mathematics And Physics

The purpose of this paper is to introduce a new type of microarticle, considered for publishing in the Open Journal of Mathematics and Physics (OJMP), dubbed "Mathematical Insight."

Conformal Parameterization for High Genus Surfaces

2017 ◽  
Vol 29 (12) ◽  
pp. 2225 ◽  
Author(s):  
Kun Qian ◽  
Jialing Zhang ◽  
Yinghua Li ◽  
Yibin Lyu ◽  
Kehua Su
Keyword(s):  
High Genus

Paul Valéry’s Vitalism: Life and Entropy

2020 ◽  
Author(s):  
Daniel Rosenberg
Keyword(s):  
Life Sciences ◽  
Distinct Type ◽  
Intellectual Tradition ◽  
Inanimate Matter ◽  
The Subject ◽  
Unique Status ◽  
Mathematics And Physics

Abstract Paul Valéry’s interest in the life sciences is an important yet little-studied aspect of his work. Although Valéry was known primarily as a reader of mathematics and physics, his fascination with the life sciences has often been ignored or regarded as mere curiosity. This article examines Valéry’s writing on the subject of biology by focusing on the unique status he accords to the notion of life. In both his theoretical and poetic writings, Valéry addresses the notion of life as a category endowed with distinct ontological attributes — as a phenomenon that encompasses a distinct type of order. Life, as an independent force, is capable of resisting and even reversing the principle of entropy, which Valéry regards as a universal tendency towards degradation and dispersion that affects all inanimate matter. Valéry’s thought thus exhibits a complicated yet clear affinity with the intellectual tradition known as vitalism. The article discusses this affinity by analysing the presence of vitalist ideas and imagery in Valéry’s corpus, giving special attention to his most expressly ‘biological’ work, the essay ‘L’Homme et la coquille’ (‘The Man and the Seashell’).

scholarly journals The power of quantum complexity

2021 ◽  
Vol 64 (3) ◽  
pp. 15-17
Author(s):  
Don Monroe
Keyword(s):  
Quantum Mechanics ◽  
Quantum Complexity ◽  
Mathematics And Physics

A theorem about computations that exploit quantum mechanics challenges longstanding ideas in mathematics and physics.

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