A characterization of superposition operators with local properties

1981 ◽  
Vol 102 (1) ◽  
pp. 137-140
Author(s):  
Gottfried Bruckner
Keyword(s):  
Superposition Operators ◽  
Local Properties

scholarly journals Microstructural Characterization of Friction Welded TiAl-Ti6Al4V Hybrid Joints

2010 ◽  
Vol 160 ◽  
pp. 319-326 ◽  
Author(s):  
Volker Ventzke ◽  
Heinz Günter Brokmeier ◽  
Peter Merhof ◽  
Mustafa Koçak
Keyword(s):  
Friction Welding ◽  
Microstructural Characterization ◽  
Welding Parameters ◽  
Process Duration ◽  
Microstructure Transformation ◽  
Local Improvement ◽  
Hybrid Joints ◽  
Local Properties ◽  
Microstructure And Microtexture

This paper describes microstructure and microtexture development in dissimilar friction welded -TAB-Ti64 joints. The effect of friction welding parameters on microstructure and local properties are examined and discussed. It was found that the intermetallic -TiAl based alloy Ti-47Al-3.5(Mn+Cr+Nb)-0.8(B+Si) (denoted as -TAB) is more sensitive to the applied friction welding parameters used in this study. Furthermore, the bonding between these two alloys was controlled by a diffusion process during a very short process duration. Grain refinement as well microstructure transformation led to local improvement of the friction-welded joints.

COMPLETE LOCAL CHARACTERIZATION OF STRONG 26-SURFACES: CONTINUOUS ANALOGS FOR STRONG 26-SURFACES

1999 ◽  
Vol 13 (04) ◽  
pp. 465-484 ◽  
Author(s):  
RÉMY MALGOUYRES ◽  
GILLES BERTRAND
Keyword(s):  
Necessary Conditions ◽  
Local Conditions ◽  
Global Properties ◽  
Discrete Surfaces ◽  
Local Properties ◽  
Local Characterization

In Ref. 6, two similar characterizations of discrete surfaces of ℤ3 are proposed which are called strong 18-surfaces and strong 26-surfaces. The proposed characterizations consist in some natural global properties of surfaces. In this paper, we first give local necessary conditions for an object to be a strong 26-surface. An object satisfying these local properties is called a near strong 26-surface. Then we construct continuous analogs for near strong 26-surfaces and, using the continuous Jordan Theorem, we prove that the necessary local conditions previously introduced in fact give a complete local characterization of strong 26-surfaces: the class of near strong 26-surfaces coincides with the class of strong 26-surfaces.

Characterization of a pilot plant airlift tower loop reactor: III. Evaluation of local properties of the dispersed gas phase during yeast cultivation and in model media

1991 ◽  
Vol 38 (1) ◽  
pp. 56-64 ◽  
Author(s):  
S. Fröhlich ◽  
M. Lotz ◽  
B. Larson ◽  
A. Lübbert ◽  
K. Schügerl ◽  
...  
Keyword(s):  
Gas Phase ◽  
Pilot Plant ◽  
Loop Reactor ◽  
Local Properties

Effect of Strain History of Steel Sheets on the Mechanical Characteristics of Individual Microstructural Components by Depth Sensing Indentation

2016 ◽  
Vol 368 ◽  
pp. 45-48
Author(s):  
Peter Burik ◽  
Ladislav Pešek ◽  
Zuzana Andršová ◽  
Pavel Kejzlar ◽  
Pavol Zubko
Keyword(s):  
Mechanical Properties ◽  
Strain History ◽  
Depth Sensing ◽  
Multiphase Materials ◽  
Steel Sheets ◽  
History Of ◽  
Local Properties ◽  
Straightforward Solution ◽  
Characterization Of Materials

The macroscopic mechanical properties of steel are highly dependent upon microstructure, crystallographic orientation of grains and distribution of each phase present, etc. Nanomechanical testing using depth sensing indentation (DSI) provides a straightforward solution for quantitatively characterizing each of phases in microstructure because it is very powerful technique for characterization of materials in small volumes. Measuring the local properties of each microstructure component separately in multiphase materials gives information that is valuable for the development of new materials and for modelling. The work experimentally analyses the effect of strain history on the mechanical properties of individual components in steel sheets by depth sensing indentation. The measurements were carried out on broken tensile specimens.

scholarly journals On characterization of non-Newtonian superposition operators in some sequence spaces

Filomat ◽  
2019 ◽  
Vol 33 (9) ◽  
pp. 2601-2612
Author(s):  
Birsen Sağır ◽  
Fatmanur Erdoğan
Keyword(s):  
Sequence Spaces ◽  
Real Sequence ◽  
Superposition Operator ◽  
Superposition Operators

In this paper, we define a non-Newtonian superposition operator NPf where f : N x R(N)? ? R(N)? by NPf (x) = (f(k,xk))? k=1 for every non-Newtonian real sequence x = (xk). Chew and Lee [4] have characterized Pf : ?p ? ?1 and Pf : c0 ? ?1 for 1 ? p < ?. The purpose of this paper is to generalize these works respect to the non-Newtonian calculus. We characterize NPf : ?? (N) ??1(N), NPf: c0(N)??1(N), NPf : c (N)? ?1 (N) and NPf : ?p (N) ? ?1 (N), respectively. Then we show that such NPf : ??(N) ? ?1 (N) is *-continuous if and only if f (k,.) is *-continuous for every k ? N.

scholarly journals Multiscale Modelling and Characterization of Mechanical Properties in Heat-Resistant Alloys

Crystals ◽  
2022 ◽  
Vol 12 (1) ◽  
pp. 105
Author(s):  
Ikumu Watanabe ◽  
Nobufumi Ueshima ◽  
Jovana Ruzic ◽  
Hongzhi Cui
Keyword(s):  
Mechanical Properties ◽  
Multiscale Modelling ◽  
Heat Resistant ◽  
Local Properties

Various heat-resistant alloys have been used in industry; however, the bridge between the bulk mechanical properties and the underlying micro- and nanoscopic local properties remains an issue [...]

scholarly journals Mathematical Characterization of the Tensile Deformation Curve of Cast Iron Materials

2018 ◽  
Vol 925 ◽  
pp. 444-450 ◽  
Author(s):  
Ingvar L. Svensson ◽  
Kent Salomonsson
Keyword(s):  
Cast Iron ◽  
Tensile Deformation ◽  
Test Machine ◽  
Iron Castings ◽  
Component Design ◽  
Strain Behaviour ◽  
Local Properties ◽  
Method Factors ◽  
Cast Products

The manufacturing process gives cast iron castings properties which are dependent on component design, metallurgy and casting method. Factors as local wall thickness influences the coarseness and type of microstructure and the material will have local properties depending on the local metallurgical and thermal history. The stress/strain behaviour of cast products at load are typically performed by using a tensile test machine.

scholarly journals On tangent cones at infinity of algebraic varieties

2018 ◽  
Vol 17 (08) ◽  
pp. 1850143 ◽  
Author(s):  
Công-Trình Lê ◽  
Tien-Son Phạm
Keyword(s):  
Algebraic Variety ◽  
Tangent Cone ◽  
Tangent Cones ◽  
Algebraic Varieties ◽  
Combinatorial Topology ◽  
Princeton University ◽  
Analytic Varieties ◽  
Complex Algebraic Variety ◽  
Local Properties

In this paper, we define the geometric and algebraic tangent cones at infinity of algebraic varieties and establish the following version at infinity of Whitney’s theorem [Local properties of analytic varieties, in Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse) (Princeton University Press, Princeton, N. J., 1965), pp. 205–244; Tangents to an analytic variety, Ann. of Math. 81 (1965) 496–549]: The geometric and algebraic tangent cones at infinity of complex algebraic varieties coincide. The proof of this fact is based on a geometric characterization of the geometric tangent cone at infinity using the global Łojasiewicz inequality with explicit exponents for complex algebraic varieties. Moreover, we show that the tangent cone at infinity of a complex algebraic variety is actually the part at infinity of this variety [G.-M. Greuel and G. Pfister, A Singular Introduction to Commutative Algebra, 2nd extended edn. (Springer, Berlin, 2008)]. We also show that the tangent cone at infinity of a complex algebraic variety can be computed using Gröbner bases.

scholarly journals FINGERPRINT IMAGE SEGMENTATION USING DATA MANIFOLD CHARACTERISTIC FEATURES

2012 ◽  
Vol 26 (04) ◽  
pp. 1256010 ◽  
Author(s):  
ANTÓNIO R. C. PAIVA ◽  
TOLGA TASDIZEN
Keyword(s):  
Dimensional Space ◽  
Classification Problem ◽  
Superior Performance ◽  
Image Patches ◽  
Local Properties ◽  
Fingerprint Segmentation ◽  
Characteristic Features ◽  
Underlying Manifold ◽  
Using Data

Automatic fingerprint identification systems (AFIS) have been studied extensively and are widely used for biometric identification. Given its importance, many well-engineered methods have been developed for the different stages that encompass those systems. The first stage of any such system is the segmentation of the actual fingerprint region from the background. This is typically achieved by classifying pixels, or blocks of pixels, based on a set of features. In this paper, we describe novel features for fingerprint segmentation that express the underlying manifold topology associated with image patches in a local neighborhood. It is shown that fingerprint patches seen in a high-dimensional space form a simple and highly regular circular manifold. The characterization of the manifold topology suggests a set of optimal features that characterize the local properties of the fingerprint. Thus, fingerprint segmentation can be formulated as a classification problem based on the deviation from the expected topology. This leads to features that are more robust to changes in contrast than mean, variance and coherence. The superior performance of the proposed features for fingerprint segmentation is shown in the eight datasets from the 2002 and 2004 Fingerprint Verification Competitions.

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