A NUMERICAL INVARIANT FOR TWO COMPONENT SPATIAL GRAPHS

2010 ◽  
Vol 19 (09) ◽  
pp. 1125-1134
Author(s):  
SUMIKO HORIUCHI ◽  
YOSHIYUKI OHYAMA
Keyword(s):  
Finite Type ◽  
Absolute Value ◽  
Numerical Invariant ◽  
Linking Number ◽  
Type Invariant ◽  
Spatial Graphs ◽  
Two Component ◽  
The Absolute ◽  
Definition Of

We define an invariant for two component spatial graphs. Although the definition of the invariant is alike a linking number, it is different from the absolute value of a linking number. We show that the invariant is not a finite type invariant.

A LARGE COMPLETE GRAPH IN A SPACE CONTAINS A LINK WITH LARGE LINK INVARIANT

2003 ◽  
Vol 12 (07) ◽  
pp. 915-919 ◽  
Author(s):  
MINORI SHIRAI ◽  
KOUKI TANIYAMA
Keyword(s):  
Complete Graph ◽  
Negative Integer ◽  
Link Invariant ◽  
Absolute Value ◽  
Linking Number ◽  
Conway Polynomial ◽  
Two Component ◽  
The Absolute ◽  
Three Space

Let k be a non-negative integer. Then any embedding of the complete graph on 6·2k vertices into a three-space contains a two-component link with the absolute value of its linking number greater than or equal to 2k. Let j be a non-negative integer. Then any embedding of the complete graph on 48·2j vertices into a three-space contains a knot with the absolute value of the second coefficient of its Conway polynomial greater than or equal to 22j.

scholarly journals Un théorème de l'application ouverte sur les corps valués algébriquement clos

2012 ◽  
Vol 111 (2) ◽  
pp. 161 ◽  
Author(s):  
Laurent Moret-Bailly
Keyword(s):  
Finite Type ◽  
Rational Points ◽  
Closed Field ◽  
Algebraically Closed Field ◽  
Absolute Value ◽  
The Absolute

Let $K$ be an algebraically closed field with a nontrivial absolute value, and let $f:X\to Y$ be a morphism of $K$-schemes of finite type. We show that $f$ is universally open if and only if the induced map on $K$-rational points is open for the topologies deduced from the absolute value. Resumé Soit $K$ un corps algébriquement clos muni d'une valeur absolue non triviale, et soit $f:X\to Y$ un morphisme de $K$-schémas de type fini. On montre que $f$ est universellement ouvert si et seulement si l'application induite sur les points $K$-rationnels est ouverte pour les topologies déduites de la valeur absolue.

scholarly journals Investigation of the Effect of External Local Sealing Loads on the Well Support

2021 ◽  
Vol 8 ◽  
pp. 93-98
Author(s):  
O.N. Shemelina ◽  
V.P. Ovchinnikov ◽  
Y.N. Pavelyeva ◽  
S.S. Shemelin
Keyword(s):  
Strain State ◽  
Stress Strain ◽  
Absolute Value ◽  
Stress Strain State ◽  
The Absolute ◽  
Definition Of

The article presents the definition of problems in the well support from external local sealing loads. The conditions of local sealing loads are identified. The calculations were carried out according to the equations. A model of the stress-strain state in the well support has been created. The parameters of the effect of compression on the absolute value of strength are determined.

From Algebra to Calculus—a Tonka® Toy Does the Trick

1993 ◽  
Vol 86 (4) ◽  
pp. 282-287
Author(s):  
Victoria A. Borlaug
Keyword(s):  
Constant Velocity ◽  
Average Velocity ◽  
Graphical Representation ◽  
Instantaneous Velocity ◽  
One Dimensional ◽  
Absolute Value ◽  
Zero Values ◽  
The Absolute ◽  
Definition Of ◽  
Classroom Presentation

This classroom presentation is designed to introduce and interpret the graphical representation of a Tonka® toy truck's forward and backward motion. It can be used to illustrate an application of slope in an algebra class or to introduce the derivative in a calculus class. In the presentation, the teacher moves the Tonka® truck up and down on the chalkboard using chalk to record the motion, asks students questions about the motion, and encourages discussion. The class is asked to pretend that the toy truck has a speedometer. Unlike speedometers in real trucks, this toy speedometer has negative values to represent backward motion, in addmon to its usual positive and zero values. (Speed is the absolute value of velocity. In this situation, the speedometer might better be renamed “velocity-ometer,” but that term would introduce vocabulary unfamiliar to the student.) The presentation leads students to develop a graphical representation of the truck's one-dimensional motion, creates graphs representing constant velocity, leads students to a definition of average velocity, and introduces the concept of instantaneous velocity.

scholarly journals Incentive Function of Audit Opinion for the Increase of Regional Operational Expenditure and Own-Source Revenues Through Sensitivity Analysis in Indonesia

2020 ◽  
Vol 11 (1) ◽  
pp. 20
Author(s):  
Muhammad Ikbal Abdullah ◽  
Andi Chairil Furqan ◽  
Nina Yusnita Yamin ◽  
Fahri Eka Oktora
Keyword(s):  
Sensitivity Analysis ◽  
Significant Influence ◽  
Provincial Government ◽  
Sensitivity Testing ◽  
Audit Opinion ◽  
Absolute Value ◽  
Operating Expenditure ◽  
The Absolute ◽  
Operational Expenditure

This study aims to analyze the sensitivity testing using measurements of realization of regional own-source revenues and operating expenditure and to analyze the extent of the effect of sample differences between Java and non-Java provinces by using samples outside of Java. By using sensitivity analysis, the results found the influence of audit opinion on the performance of the provincial government mediated by the realization of regional operating expenditure. More specifically, when using the measurement of the absolute value of the realization of regional operating expenditure it was found that there was a direct positive and significant influence of audit opinion on the performance of the Provincial Government. However, no significant effect of audit opinion was found on the realization value of regional operating expenditure and the effect of the realization value of regional operating expenditure on the performance of the Provincial Government. This result implies that an increase in audit opinion will be more likely to be used as an incentive for the Provincial Government to increase the realization of regional operating expenditure.

Die Bedeutung der Homogenisationsart und -intensität für die Größe und Konstanz der Sauerstoffaufnahme von Meerschweinchen-Leberhomogenat / The Influence of Mode and Intensity of Homogenization on the Absolute Value and Stability of Oxygen Consumption of Guinea Pig Liver Homogenates

1977 ◽  
Vol 32 (11-12) ◽  
pp. 908-912 ◽  
Author(s):  
H. J. Schmidt ◽  
U. Schaum ◽  
J. P. Pichotka
Keyword(s):  
Oxygen Uptake ◽  
Guinea Pig ◽  
Measuring Time ◽  
Pig Liver ◽  
Absolute Value ◽  
Modified Method ◽  
Simultaneous Measurements ◽  
Liver Homogenates ◽  
The Absolute ◽  
Guinea Pig Liver

Abstract The influence of five different methods of homogenisation (1. The method according to Potter and Elvehjem, 2. A modification of this method called Potter S, 3. The method of Dounce, 4. Homogenisation by hypersonic waves and 5. Coarce-grained homogenisation with the “Mikro-fleischwolf”) on the absolute value and stability of oxygen uptake of guinea pig liver homogenates has been investigated in simultaneous measurements. All homogenates showed a characteristic fall of oxygen uptake during measuring time (3 hours). The modified method according to Potter and Elvehjem called Potter S showed reproducible results without any influence by homogenisation intensity.

Thue equations that simultaneously fail the Hasse principle

2021 ◽  
pp. 1-10
Author(s):  
PALOMA BENGOECHEA
Keyword(s):  
Positive Integer ◽  
Hasse Principle ◽  
Fixed Degree ◽  
Binary Forms ◽  
Absolute Value ◽  
Positive Proportion ◽  
The Absolute

Abstract We refine a previous construction by Akhtari and Bhargava so that, for every positive integer m, we obtain a positive proportion of Thue equations F(x, y) = h that fail the integral Hasse principle simultaneously for every positive integer h less than m. The binary forms F have fixed degree ≥ 3 and are ordered by the absolute value of the maximum of the coefficients.

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