scholarly journals On the existence of acyclic curves satisfying certain conditions with respect to a given continuous curve

1931 ◽  
Vol 33 (4) ◽  
pp. 958-958
Author(s):  
C. M. Cleveland
Keyword(s):  
Continuous Curve

scholarly journals Continuous curve textures

2020 ◽  
Vol 39 (6) ◽  
pp. 1-16
Author(s):  
Peihan Tu ◽  
Li-Yi Wei ◽  
Koji Yatani ◽  
Takeo Igarashi ◽  
Matthias Zwicker
Keyword(s):  
Continuous Curve

scholarly journals Some Results and Problems Concerning Chordal Principal Cluster Sets

1967 ◽  
Vol 29 ◽  
pp. 7-18 ◽  
Author(s):  
F. Bagemihl
Keyword(s):  
Meromorphic Function ◽  
Unit Circle ◽  
Unit Disk ◽  
Riemann Sphere ◽  
Open Unit ◽  
Open Unit Disk ◽  
Continuous Curve ◽  
Cluster Set ◽  
Asymptotic Values ◽  
Principal Cluster

Let Γ be the unit circle and D be the open unit disk in the complex plane, and denote the Riemann sphere by Ω. By an arc at a point ζ∈Γ we mean a continuous curve such that |z(t)| < 1 for 0 ≦ t < 1 and . A terminal subarc of an arc Λ at ζ is a subarc of the form z = z (t) (t0 ≦ t < 1), where 0 ≦ t0<1. Suppose that f(z) is a meromorphic function in D. Then A(f) denotes the set of asymptotic values of f; and if ζ∈Γ, then C(f, ζ) means the cluster set of f at ζ and is the outer angular cluster set of f at ζ (see [13]).

Secondary Development of Automatic Drawing Software of Spindle of Numerical Control Lathe

2011 ◽  
Vol 109 ◽  
pp. 571-574
Author(s):  
Shu Lan Zhang ◽  
Nan Qiao Zhang
Keyword(s):  
Computer Technology ◽  
Structural Design ◽  
Search Algorithm ◽  
Numerical Control ◽  
Secondary Development ◽  
Automatic Design ◽  
Continuous Curve ◽  
Related Data ◽  
Automatic Drawing ◽  
Common Components

Looking up data mainly depends on the designer. Automation of looking up related data of charts, curve resource is a key to automatic design of common components, and is neccessory to be solved for strength and structural design automation of common components. A continuous curve on the logarithmic coordinates taken automatically search algorithm and discrete forms of data management and automated check to take the basic data structure to solve all the data graphs and charts automatically check the computer taken. With computer technology, in mechanical product design, various standards curves and tables can be processed.

scholarly journals On the Asymptotic Behavior of Functions Harmonic in a Disc

1966 ◽  
Vol 28 ◽  
pp. 187-191
Author(s):  
J. E. Mcmillan
Keyword(s):  
Asymptotic Behavior ◽  
Unit Circle ◽  
Complex Plane ◽  
Unit Disc ◽  
Open Unit ◽  
Continuous Curve ◽  
Open Unit Disc ◽  
Boundary Path

Let D be the open unit disc, and let C be the unit circle in the complex plane. Let f be a (real-valued) function that is harmonic in D. A simple continuous curve β: z(t) (0≦t<1) contained in D such that |z(t)|→1 as t→1 is a boundary path with end (the bar denotes closure).

scholarly journals Concerning the Subsets of a Plane Continuous Curve

1925 ◽  
Vol 27 (1) ◽  
pp. 29 ◽  
Author(s):  
Harry Merrill Gehman
Keyword(s):  
Continuous Curve

Electrical conductivity in sodium chlorate crystals

1971 ◽  
Vol 325 (1562) ◽  
pp. 347-361 ◽  
Keyword(s):  
Electrical Conductivity ◽  
Cation Vacancy ◽  
Sodium Chlorate ◽  
Optical Absorption Coefficient ◽  
Continuous Curve ◽  
Long Wavelength ◽  
Cationic Impurity ◽  
Anomalous Thermal Expansion ◽  
Straight Lines ◽  
Energy Of Formation

The electrical conductivity, σ of single crystals of sodium chlorate (m.p. 256 °C) grown from solution is studied in the temperature range 100 to 250 °C. A plot of lg ( σT ) against 1000/ T gives a fairly continuous curve. It is resolved into three straight lines by a special graphical procedure. The experimental data can then be represented by σT = 2 x 10 -4 e -6376/ T + 8 x 10 9 e -19012/ T +10 29 e -41386/ T . The addition of the divalent cationic impurity Ba 2+ increased the conductivity between 130 and 80 °C, indicating a cation vacancy jump mechanism. The activation energy for the migration of cations is estimated to be 0.55 ± 0.02 eV and the energy of formation of thermal defects to be 2.18 eV. The conductivity changes are discussed in relation to the enhanced optical absorption coefficient in the long wavelength fundamental region and also in relation to the anomalous thermal expansion and dielectric constant of the crystal at the higher temperatures. Above 200 °C the conductivity increases at a higher rate. Several causes were considered and the effect is most probably due to products of thermal decomposition.

Some Conditions Under Which a Continuum is a Continuous Curve

1926 ◽  
Vol 27 (4) ◽  
pp. 381 ◽  
Author(s):  
Harry Merrill German
Keyword(s):  
Continuous Curve
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