On differential properties of measurable functions

1960 ◽  
pp. 31-54
Author(s):  
I. Ya. Plamennov
Keyword(s):  
Measurable Functions ◽  
Differential Properties

CLASSIFICATIONS OF BOREL MEASURABLE FUNCTIONS

1994 ◽  
Vol 20 (2) ◽  
pp. 407
Author(s):  
Morayne
Keyword(s):  
Measurable Functions ◽  
Borel Measurable

Quantum Anomalies via Differential Properties of Lebesgue–Feynman Generalized Measures

2020 ◽  
Vol 310 (1) ◽  
pp. 98-107
Author(s):  
John E. Gough ◽  
Tudor S. Ratiu ◽  
Oleg G. Smolyanov
Keyword(s):  
Quantum Anomalies ◽  
Differential Properties

Lacunary ideal convergence in measure for sequences of fuzzy valued functions

2021 ◽  
Vol 40 (3) ◽  
pp. 5517-5526
Author(s):  
Ömer Kişi
Keyword(s):  
Measure Space ◽  
Finite Measure ◽  
Ideal Convergence ◽  
Convergence In Measure ◽  
Ideal Form ◽  
Measurable Functions ◽  
Finite Measure Space ◽  
Convergence Of Sequences

We investigate the concepts of pointwise and uniform I θ -convergence and type of convergence lying between mentioned convergence methods, that is, equi-ideally lacunary convergence of sequences of fuzzy valued functions and acquire several results. We give the lacunary ideal form of Egorov’s theorem for sequences of fuzzy valued measurable functions defined on a finite measure space ( X , M , μ ) . We also introduce the concept of I θ -convergence in measure for sequences of fuzzy valued functions and proved some significant results.

scholarly journals Proposals on calculating the differential properties of concrete

2021 ◽  
Vol 1083 (1) ◽  
pp. 012009
Author(s):  
L R Mailyan ◽  
S A Stel‘makh ◽  
E M Shcherban‘ ◽  
A P Korobkin ◽  
E A Efimenko
Keyword(s):  
Differential Properties

On a Singular Two-Point Boundary Value Problem for the Nonlinear mth-Order Differential Equation with Deviating Arguments

1997 ◽  
Vol 4 (6) ◽  
pp. 557-566
Author(s):  
B. Půža
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Vector Function ◽  
Unique Solvability ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Point Boundary ◽  
Deviating Arguments ◽  
Measurable Functions

Abstract Sufficient conditions of solvability and unique solvability of the boundary value problem u (m)(t) = f(t, u(τ 11(t)), . . . , u(τ 1k (t)), . . . , u (m–1)(τ m1(t)), . . . . . . , u (m–1)(τ mk (t))), u(t) = 0, for t ∉ [a, b], u (i–1)(a) = 0 (i = 1, . . . , m – 1), u (m–1)(b) = 0, are established, where τ ij : [a, b] → R (i = 1, . . . , m; j = 1, . . . , k) are measurable functions and the vector function f : ]a, b[×Rkmn → Rn is measurable in the first and continuous in the last kmn arguments; moreover, this function may have nonintegrable singularities with respect to the first argument.

The Curvature Theory of Line Trajectories in Spatial Kinematics

1981 ◽  
Vol 103 (4) ◽  
pp. 718-724 ◽  
Author(s):  
J. M. McCarthy ◽  
B. Roth
Keyword(s):  
Planar Motion ◽  
Spatial Motion ◽  
Third Order ◽  
Local Shape ◽  
The Third ◽  
Moving Body ◽  
Physical Representation ◽  
Curvature Theory ◽  
Spatial Kinematics ◽  
Differential Properties

This paper develops the differential properties of ruled surfaces in a form which is applicable to spatial kinematics. Derivations are presented for the three curvature parameters which define the local shape of a ruled surface. Related parameters are also developed which allow a physical representation of this shape as generated by a cylindric-cylindric crank. These curvature parameters are then used to define all the lines in the moving body which instantaneously generate speciality shaped trajectories. Such lines may be used in the synthesis of spatial motions in the same way that the points on the inflection circle and cubic of stationary curvature are used to synthesize planar motion. As an example of this application several special sets of lines are defined: the locus of all lines which for a general spatial motion instantaneously generate helicoids to the second order and the locus of lines generating right hyperboloids to the third order.

Differential Properties of ${x\mapsto x^{2^{t}-1}}$

2011 ◽  
Vol 57 (12) ◽  
pp. 8127-8137 ◽  
Author(s):  
Céline Blondeau ◽  
Anne Canteaut ◽  
Pascale Charpin
Keyword(s):  
Differential Properties

Differential Properties of Aspergillus niger Tannase Produced Under Solid-State and Submerged Fermentations

2011 ◽  
Vol 165 (1) ◽  
pp. 382-395 ◽  
Author(s):  
Jaqueline Renovato ◽  
Gerardo Gutiérrez-Sánchez ◽  
Luis V. Rodríguez-Durán ◽  
Carl Bergman ◽  
Raúl Rodríguez ◽  
...  
Keyword(s):  
Solid State ◽  
Aspergillus Niger ◽  
Differential Properties
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