scholarly journals Ozsváth-Szabó d-invariants of almost simple linear graphs

2020 ◽  
Vol 29 (05) ◽  
pp. 2050029
Author(s):  
Çağrı Karakurt ◽  
Oğuz Şavk
Keyword(s):  
Linear Graphs

We describe an effective method for simultaneously computing [Formula: see text]-invariants of infinite families of Brieskorn spheres [Formula: see text] with [Formula: see text].

Exactly (k,1) Transformations on Connected Linear Graphs

1940 ◽  
Vol 62 (1/4) ◽  
pp. 823 ◽  
Author(s):  
O. G. Harrold
Keyword(s):  
Linear Graphs

scholarly journals Logarithmic Axis Graphs Distort Lay Judgment

2020 ◽  
Author(s):  
William Ryan ◽  
Ellen Riemke Katrien Evers
Keyword(s):  
Logarithmic Scale ◽  
Linear Scale ◽  
Policy Interventions ◽  
Linear Graphs

COVID-19 data is often presented using graphs with either a linear or logarithmic scale. Given the importance of this information, understanding how choice of scale changes interpretations is critical. To test this, we presented laypeople with the same data plotted using differing scales. We found that graphs with a logarithmic, as opposed to linear, scale resulted in laypeople making less accurate predictions of growth, viewing COVID-19 as less dangerous, and expressing both less support for policy interventions and less intention to take personal actions to combat COVID-19. Education reduces, but does not eliminate these effects. These results suggest that public communications should use logarithmic graphs only when necessary, and such graphs should be presented alongside education and linear graphs of the same data whenever possible.

Isotopy invariants of topological spaces

1960 ◽  
Vol 255 (1282) ◽  
pp. 331-366 ◽  
Keyword(s):  
Homotopy Type ◽  
Algebraic Topology ◽  
Complete System ◽  
Topological Spaces ◽  
Recent Developments ◽  
The Difference ◽  
Linear Graphs ◽  
Homotopy Invariants ◽  
General Method

A few decades ago, topologists had already emphasized the difference between homotopy and isotopy. However, recent developments in algebraic topology are almost exclusively on the side of homotopy. Since a complete system of homotopy invariants has been obtained by Postnikov, it seems that hereafter we should pay more attention to isotopy invariants and new efforts should be made to attack the classical problems. The purpose of this paper is to introduce and study new algebraic isotopy invariants of spaces. A general method of constructing these invariants is given by means of a class of functors called isotopy functors. Special isotopy functors are constructed in this paper, namely, the m th residual functor R m and the m th. enveloping functor E m . Applications of these isotopy invariants to linear graphs are given in the last two sections. It turns out that these invariants can distinguish various spaces belonging to the same homotopy type.

Circuits and Trees in Oriented Linear Graphs

2009 ◽  
pp. 149-163 ◽  
Author(s):  
T. van Aardenne-Ehrenfest ◽  
N.G. de Bruijn
Keyword(s):  
Linear Graphs

scholarly journals Simple models for the continuous aerobic biodegradation of phenol in a packed bed reactor

2006 ◽  
Vol 49 (4) ◽  
pp. 669-676 ◽  
Author(s):  
Andrew Mark Gerrard ◽  
Jan Páca Júnior ◽  
Alena Kostecková ◽  
Jan Páca ◽  
Marie Stiborová ◽  
...  
Keyword(s):  
Plug Flow ◽  
Packed Bed ◽  
Packed Bed Reactor ◽  
Aerobic Biodegradation ◽  
Rate Equations ◽  
Phenol Removal ◽  
First Order ◽  
Peak Loads ◽  
Linear Graphs ◽  
Best Fit

This paper proposes the use of a preliminary, phenol removal step to reduce peak loads arriving at a conventional effluent plant. A packed bed reactor (PBR) using polyurethane foam, porous glass and also cocoa fibres as the inert support material was used. Experiments have been carried out where the flow-rates, plus inlet and outlet phenol concentrations were measured. A simple, plug-flow model is proposed to represent the results. Zero, first order, Monod and inhibited kinetics rate equations were evaluated. It was found that the Monod model gave the best fit to the experimental data and allowed linear graphs to be plotted. The Monod saturation constant, K, is approximately 50 g m-3, and ka is around 900 s-1.

scholarly journals Incidence Matrices and Linear Graphs

1959 ◽  
Vol 8 (5) ◽  
pp. 827-835 ◽  
Author(s):  
L. Auslander ◽  
H. Trent
Keyword(s):  
Incidence Matrices ◽  
Linear Graphs
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