Nonparametric Smoothers for a Single Curve

2013 ◽  
pp. 43-70
Keyword(s):  
Single Curve

scholarly journals Speed of the bacterial flagellar motor near zero load depends on the number of stator units

2017 ◽  
Vol 114 (44) ◽  
pp. 11603-11608 ◽  
Author(s):  
Ashley L. Nord ◽  
Yoshiyuki Sowa ◽  
Bradley C. Steel ◽  
Chien-Jung Lo ◽  
Richard M. Berry
Keyword(s):  
Escherichia Coli ◽  
Motive Force ◽  
Flagellar Motor ◽  
Single Curve ◽  
Ion Gradient ◽  
Membrane Bound ◽  
Bacterial Flagellar Motor ◽  
Ion Conducting ◽  
Relationship Of

The bacterial flagellar motor (BFM) rotates hundreds of times per second to propel bacteria driven by an electrochemical ion gradient. The motor consists of a rotor 50 nm in diameter surrounded by up to 11 ion-conducting stator units, which exchange between motors and a membrane-bound pool. Measurements of the torque–speed relationship guide the development of models of the motor mechanism. In contrast to previous reports that speed near zero torque is independent of the number of stator units, we observe multiple speeds that we attribute to different numbers of units near zero torque in both Na+- and H+-driven motors. We measure the full torque–speed relationship of one and two H+units inEscherichia coliby selecting the number of H+units and controlling the number of Na+units in hybrid motors. These experiments confirm that speed near zero torque in H+-driven motors increases with the stator number. We also measured 75 torque–speed curves for Na+-driven chimeric motors at different ion-motive force and stator number. Torque and speed were proportional to ion-motive force and number of stator units at all loads, allowing all 77 measured torque–speed curves to be collapsed onto a single curve by simple rescaling.

De Jonquières’ formula for a family of nodal curves

2016 ◽  
Vol 26 (08) ◽  
pp. 1503-1528
Author(s):  
Kwangwoo Lee
Keyword(s):  
Linear System ◽  
Parameter Family ◽  
Nodal Curves ◽  
Number Of Divisors ◽  
Single Curve

For a given linear system on a curve, the number of divisors of a certain type contained in this system is known as the formula of de Jonquières. In this paper, we give an algorithm for getting a general de Jonquières formula for a family of nodal curves. Using this algorithm we obtain one of such formulas for a particular case; on a single partition [Formula: see text] of [Formula: see text] for a one parameter family of nodal curves. Moreover we retrieve the classical de Jonquières’ formula for a single curve using the method developed in this paper.

Degenerate surfaces in higher space

1933 ◽  
Vol 29 (1) ◽  
pp. 88-94 ◽  
Author(s):  
L. Roth
Keyword(s):  
General Type ◽  
General Character ◽  
Space Curves ◽  
Single Curve ◽  
General Surface ◽  
Previous Note ◽  
Surface Of General Type ◽  
Degenerate Curve

1. In a previous note the author has examined the systems of tangent planes to a degenerate surface in S3 consisting of n planes, regarded as the limit of a general surface of the same order. It is well known that a pair of space curves which are the limiting form of a non-degenerate curve must have a certain number of intersections; hence, if a surface in higher space degenerates into a number of surfaces, these must intersect in curves of various orders. In the present paper we consider the nature of the envelope to a surface consisting of two general surfaces of S4 having in common a single curve of general character, the degenerate surface being regarded as the limit of some surface of general type. The same conclusions hold for a similar degenerate surface in Sr (r>4).

The Constitutive Relation of Total Strain Theory Based on the Simple Experimental Data by the Application of Titanium Alloy

2012 ◽  
Vol 268-270 ◽  
pp. 308-311
Author(s):  
Xiao Jiu Feng ◽  
Hong Du ◽  
Ping Zhou
Keyword(s):  
Titanium Alloy ◽  
Constitutive Relation ◽  
Strain Theory ◽  
Total Strain ◽  
Simple Loading ◽  
Single Curve ◽  
Torsion Experiment ◽  
Curve Theory ◽  
The Stability ◽  
Tensile Experiment

The elastic-plasticity of the titanium alloy material has certain effect on the stability of the milling system. When the material is incompressible, the curve and the simple tensile curve are the same, and the material’s curve and the one-way shear’s curve are also the same. This may be called single curve theory. This paper is, under simple loading conditions, gets the data in the titanium alloy’s tensile experiment and torsion experiment. It studies the constitutive relation in the state of the multidimensional stress and the strain, by the material data obtained in the simple tensile experiment and torsion experiment according to the single curve theory. In the simple loading condition, it obtains the data of the titanium alloy’s tensile experiment and torsion experiment, and then gets the titanium alloy’s incremental constitutive relation, and by integration, it gets the constitutive relation of the titanium alloy’s total strain theory.

scholarly journals Flexibility of Polymers Defined and Related to Dynamic Friction

2019 ◽  
Vol 8 (3) ◽  
pp. 31 ◽  
Author(s):  
Witold Brostow ◽  
Haley E. Hagg Lobland ◽  
Hee Jae Hong ◽  
Sven Lohse ◽  
Allison T. Osmanson
Keyword(s):  
Specific Volume ◽  
Dynamic Friction ◽  
Chemical Bonds ◽  
Linus Pauling ◽  
Single Curve

We have quantitatively defined flexibility of polymers. Flexibility Y is not an inverse of the brittleness B, rather, the two equations are compared. The expression for flexibility includes the specific volume and the summation of the strengths of chemical bonds-a concept introduced by Linus Pauling. The flexibility is plotted as a function of dynamic friction, resulting in a representative single curve for polymers.

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