In the General Case, the Basic Problem of Interval Computations is Intractable

1998 ◽  
pp. 41-51
Author(s):  
Vladik Kreinovich ◽  
Anatoly Lakeyev ◽  
Jiří Rohn ◽  
Patrick Kahl
Keyword(s):  
Basic Problem ◽  
Interval Computations

Cluster Analysis of Antigenic Profiles of Tumors: Selection of Number of Clusters Using Akaike’s Information Criterion

1990 ◽  
Vol 29 (03) ◽  
pp. 200-204 ◽  
Author(s):  
J. A. Koziol
Keyword(s):  
Cluster Analysis ◽  
Basic Problem ◽  
Information Criterion ◽  
Akaike's Information Criterion ◽  
Cell Surface Antigens ◽  
Number Of Clusters ◽  
Akaike’S Information Criterion ◽  
Multinomial Data ◽  
Tumor Types ◽  
Selection Of

AbstractA basic problem of cluster analysis is the determination or selection of the number of clusters evinced in any set of data. We address this issue with multinomial data using Akaike’s information criterion and demonstrate its utility in identifying an appropriate number of clusters of tumor types with similar profiles of cell surface antigens.

scholarly journals On the Reconstruction of the Center of a Projection by Distances and Incidence Relations

2020 ◽  
Author(s):  
András Pongrácz ◽  
Csaba Vincze
Keyword(s):  
Algebraic Surface ◽  
Basic Problem ◽  
Rotational Symmetry ◽  
Image Plane ◽  
Equivalent Condition ◽  
Central Projection ◽  
Profile Curve ◽  
Reconstruction Process ◽  
Restricted Area ◽  
Photographic Images

AbstractUp to an orientation-preserving symmetry, photographic images are produced by a central projection of a restricted area in the space into the image plane. To obtain reliable information about physical objects and the environment through the process of recording is the basic problem of photogrammetry. We present a reconstruction process based on distances from the center of projection and incidence relations among the points to be projected. For any triplet of collinear points in the space, we construct a surface of revolution containing the center of the projection. It is a generalized conic that can be represented as an algebraic surface. The rotational symmetry allows us to restrict the investigations to the defining polynomial of the profile curve in the image plane. An equivalent condition for the boundedness is given in terms of the input parameters, and it is shown that the defining polynomial of the profile curve is irreducible.

PUSHOUTS OF PARTIAL HOMOMORPHISMS OF PARTIAL ALGEBRAS II: CLOSED QUOMORPHISMS

2003 ◽  
Vol 02 (04) ◽  
pp. 471-500
Author(s):  
R. ALBERICH ◽  
F. ROSSELLÓ
Keyword(s):  
Basic Problem ◽  
Arbitrary Signature ◽  
Partial Algebras

We characterize the pairs of closed homomorphisms and closed quomorphisms of partial Σ-algebras that have a pushout in the corresponding category, for an arbitrary signature Σ. The latter characterization solves the basic problem previous to the development of a single-pushout approach to the transformation of partial algebras based on closed quomorphisms.

Determining Site Size and Structure: A Fort Ancient Example

2011 ◽  
Vol 76 (1) ◽  
pp. 145-162 ◽  
Author(s):  
Robert A. Cook ◽  
Jarrod Burks
Keyword(s):  
Magnetic Susceptibility ◽  
Basic Problem ◽  
Basic Site ◽  
Agricultural Field ◽  
Site Structure ◽  
Survey Techniques ◽  
Fort Ancient ◽  
Magnetic Gradiometry ◽  
Size And Structure ◽  
Habitation Site

A basic problem in archaeological research is determining site size and structure. In this paper we develop an approach that sequentially employs several survey techniques, including aerial photography, magnetic gradiometry, magnetic susceptibility, and shovel testing in the context of the Wildcat site (33My499), a Fort Ancient habitation site located near Dayton, Ohio. Defining site size and structure was a challenge at Wildcat since it is located in an agricultural field that has not been plowed for many years. Magnetic susceptibility and close-interval shovel testing worked well to define the basic site structure, and magnetic gradiometry and targeted magnetic anomaly excavations efficiently revealed a series of features. Alone, each of the methods produced somewhat misleading data regarding site size and structure, but together they revealed a much smaller site than originally anticipated.

A Note on the Shear Stress Criterion for Fatigue Failure under Combined Stress

1969 ◽  
Vol 20 (1) ◽  
pp. 57-60 ◽  
Author(s):  
R. E. Little
Keyword(s):  
Shear Stress ◽  
Fatigue Limit ◽  
Fatigue Failure ◽  
Failure Criterion ◽  
Basic Problem ◽  
Failure Criteria ◽  
Test Methods ◽  
Combined Stress ◽  
Stress Criterion

SummaryNishihara’s combined bending and torsion out-of-phase fatigue limit data are analysed. The Tresca shear stress failure criterion predicts strengths up to 30 per cent higher than observed. It thus appears that renewed attention should be given to the basic problem of developing reliable combined stress failure criteria. It is suggested that new test methods will be required for this purpose.

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