Undirected replicas of directional binary algebras

2014 ◽  
Vol 13 (08) ◽  
pp. 1450051 ◽  
Author(s):  
K. Matczak ◽  
J. D. H. Smith
Keyword(s):  
Fundamental Operation ◽  
New Approach ◽  
Universal Algebras ◽  
Left And Right

Following the prototype of dimonoids, directional algebras are obtained from universal algebras by splitting each fundamental operation into a number of distinct fundamental operations corresponding to directions or selected arguments in the original fundamental operation. Thus dimonoids are directional semigroups, with left- and right-directed multiplications. Directional quasigroups appear in a number of versions, depending on the axiomatization chosen for quasigroups, but this paper concentrates on 4-diquasigroups, which incorporate a left and right quasigroup structure. While introducing several new instances of 4-diquasigroups, including dicores and group-representable diquasigroups, the paper is primarily devoted to the study of undirected replicas of directional binary algebras, dimonoids, digroups, and diquasigroups, where the two directed multiplications are identified. Undirected replicas of diquasigroups are two-sided quasigroups, and thus offer a new approach to the construction of quasigroups of various kinds.

Artin's problem for skew field extensions

1985 ◽  
Vol 97 (1) ◽  
pp. 1-6 ◽  
Author(s):  
A. H. Schofield
Keyword(s):  
Artinian Ring ◽  
Field Extension ◽  
Subsequent Paper ◽  
Commutative Field ◽  
Finite Representation ◽  
New Approach ◽  
Skew Field ◽  
Skew Fields ◽  
Left And Right ◽  
The Right

For a commutative field extension, L ⊃ K, it is clear that a left basis of L over K; is also a right basis of L over K; however, for an extension of skew fields, this may easily fail, though it is hard to determine whether the right and left dimension may be different. Cohn ([4], ch. 5), however, was able to find extensions of skew fields such that the left and right dimensions were an arbitrary pair of cardinals subject only to the restrictions that neither were 1 and at least one of them was infinite. In this paper, I shall present a new approach that allows us to construct extensions of skew fields such that the left and right dimensions are arbitrary integers not equal to 1. In a subsequent paper, [7], I shall present related results and consequences; in particular, there is a construction of a hereditary artinian ring of finite representation type corresponding to the Coxeter diagram I2(5) answering the question raised by Dowbor, Ringel and Simson[5].

Measurement Technique of Grinding Wheel Topography Based on Binocular Stereo Vision

2006 ◽  
Vol 532-533 ◽  
pp. 1132-1135 ◽  
Author(s):  
Xiao Feng Zhang ◽  
Hong Jun Xu ◽  
Yu Can Fu
Keyword(s):  
Machining Process ◽  
Grinding Wheel ◽  
Reflection Function ◽  
New Approach ◽  
Binocular Stereo Vision ◽  
Wheel Topography ◽  
Binocular Stereo ◽  
Grinding Wheel Topography ◽  
Left And Right ◽  
Binocular Stereovision

Measurement of the grinding wheel topography and its change in machining process is important for revealing the grinding principle of high-temperature brazed mono-layer super-abrasive grinding wheel. A new approach of measuring grinding wheel topography based on binocular stereovision is presented. Firstly, the binocular images are achieved while the optical axes of the two cameras are parallel, and a corner reflection function algorithm is applied to detect corners. Secondly, in order to get matching corners, optimal matching template is obtained by matching curves. The experimental results show that the sequential similarity matching operation with optimal template has advantages of high accuracy, and less error matching. Finally, the height of the corners is obtained by calculating their parallax on left and right image, and the height error is less than 5%.

scholarly journals Annihilators in Universal Algebras: A New Approach

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Gezahagne Mulat Addis
Keyword(s):  
General Context ◽  
New Approach ◽  
Universal Algebras

The purpose of this paper is to study annihilators and annihilator ideals in a more general context; in universal algebras.

scholarly journals Bounds of Generalized Proportional Fractional Integrals in General Form via Convex Functions and Their Applications

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 113 ◽  
Author(s):  
Gauhar Rahman ◽  
Thabet Abdeljawad ◽  
Fahd Jarad ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Convex Functions ◽  
General Type ◽  
Fractional Integrals ◽  
New Approach ◽  
Left And Right ◽  
New Inequalities

In this paper, our objective is to apply a new approach to establish bounds of sums of left and right proportional fractional integrals of a general type and obtain some related inequalities. From the obtained results, we deduce some new inequalities for classical generalized proportional fractional integrals as corollaries. These inequalities have a connection with some known and existing inequalities which are mentioned in the literature. In addition, some applications of the main results are presented.

Electromyographic Evaluation of a New Approach to Descending Stairs While Carrying a Stretcher

2005 ◽  
Vol 49 (14) ◽  
pp. 1364-1364
Author(s):  
Steven A. Lavender ◽  
Karen M. Conrad ◽  
Paul Reichelt ◽  
Aniruddha Kohok ◽  
Jessica Gacki-Smith
Keyword(s):  
Control System ◽  
Sampling Period ◽  
Activity Level ◽  
Erector Spinae ◽  
Similar Amount ◽  
Activity Levels ◽  
New Approach ◽  
Left And Right ◽  
The Mean ◽  
Muscle Groups

One of the frequently encountered strenuous tasks performed by firefighter/paramedics (FFPs) is carrying a victim down the stairs on a stretcher. This study was designed to biomechanically evaluate new equipment that allows the stretcher to essentially be rolled down the stairs. The device called the Decent Control System looks like a pair of “tank treads” with a friction brake that span multiple steps was developed for this purpose (figure 1). We recruited 11 two-person teams of professional firefighters to test this approach. Electromyographic (EMG) data were obtained from each person as they carried and rolled the stretcher down a flight of stairs. Of the 8 muscles sampled from each firefighter, 4 muscles, including the left and right Erector Spinae showed significant reductions with the new approach. On average the 90th percentile normalized activity level for the Leader's (the FFP descending the stairs backwards) Erector Spinae decreased by 27% while the follower decreased 37%. The mean activity levels across the sampling period for these same muscle groups mounted on the stretcher shown also decreased by a similar amount. In summary the Decent Control System reduced the activity in two of the primary low back muscles used when lifting. Such reductions, if experienced in the field, lessen the biomechanical loads transmitted to the spine and the potential for muscle over-exertion injuries.

Modeling of Helical Gear Carbide Re-Hobbing Process

2014 ◽  
Author(s):  
Pravin Khurana ◽  
David King ◽  
Kevin Marseilles ◽  
Sankar Sengupta
Keyword(s):  
Calculation Methods ◽  
New Approach ◽  
Setup Errors ◽  
Part Quality ◽  
Profile Deviation ◽  
Gear Hobbing ◽  
Cad Cam ◽  
Left And Right ◽  
Profile Errors ◽  
The Relationship

Carbide re-hobbing is a variation of the gear hobbing process. It is typically used for finishing fully-hardened gear blanks that have been semi-finished, generally by a previous hobbing operation. This paper will discuss a new approach to modeling the carbide re-hobbing process with the goal of improving part quality for a typical pinion. Prior modeling approaches have been based on analytical chip calculation methods. Such approaches, however, limit the geometry of the tool and candidate workpiece to such profiles as would be implemented in the model initially. This new modeling approach involves the use of CAD/CAM/CAE tools to simulate the hobbing process in a virtual 3D environment. As such, the models may now take into account the specific tool geometries, workpiece geometries, setup errors and various cutting conditions with much greater ease. The results of the simulation in predicting cutting forces, part deflection and the resulting profile deviations will be presented. Further, the effect of tool setup error, in particular both synchronous and asynchronous runout, on part quality will be examined in simulation. The simulation results reveal that each type of runout provides a unique signature of profile deviation error for the left and right flanks. The relationship between these setup errors and resulting profile errors will be examined in detail and compared with data from controlled machining tests.

The O–C diagrams of minor planets − a new approach to modelling the rotation

1999 ◽  
Vol 173 ◽  
pp. 185-188
Author(s):  
Gy. Szabó ◽  
K. Sárneczky ◽  
L.L. Kiss
Keyword(s):  
Error Analysis ◽  
Time Dependence ◽  
Theoretical Work ◽  
Minor Planet ◽  
Minor Planets ◽  
New Approach ◽  
Preliminary Results ◽  
Ccd Observations

AbstractA widely used tool in studying quasi-monoperiodic processes is the O–C diagram. This paper deals with the application of this diagram in minor planet studies. The main difference between our approach and the classical O–C diagram is that we transform the epoch (=time) dependence into the geocentric longitude domain. We outline a rotation modelling using this modified O–C and illustrate the abilities with detailed error analysis. The primary assumption, that the monotonity and the shape of this diagram is (almost) independent of the geometry of the asteroids is discussed and tested. The monotonity enables an unambiguous distinction between the prograde and retrograde rotation, thus the four-fold (or in some cases the two-fold) ambiguities can be avoided. This turned out to be the main advantage of the O–C examination. As an extension to the theoretical work, we present some preliminary results on 1727 Mette based on new CCD observations.

A New Approach to the Demonstration of Oxidase-Localization Using Tannic Acid Or Catechin

1973 ◽  
Vol 31 ◽  
pp. 698-699
Author(s):  
V. Mizuhira ◽  
Y. Futaesaku
Keyword(s):  
Cross Section ◽  
Tannic Acid ◽  
Elastic Fiber ◽  
The Other ◽  
New Approach ◽  
Tissue Block ◽  
Active Reaction ◽  
The Cross

Previously we reported that tannic acid is a very effective fixative for proteins including polypeptides. Especially, in the cross section of microtubules, thirteen submits in A-tubule and eleven in B-tubule could be observed very clearly. An elastic fiber could be demonstrated very clearly, as an electron opaque, homogeneous fiber. However, tannic acid did not penetrate into the deep portion of the tissue-block. So we tried Catechin. This shows almost the same chemical natures as that of proteins, as tannic acid. Moreover, we thought that catechin should have two active-reaction sites, one is phenol,and the other is catechole. Catechole site should react with osmium, to make Os- black. Phenol-site should react with peroxidase existing perhydroxide.

The three-dimensional structure of frozen-hydrated left- and right-handed forms of bacterial flagellar filaments from an identical serotype

1986 ◽  
Vol 44 ◽  
pp. 298-299
Author(s):  
S. Trachtenberg ◽  
D. J. DeRosier
Keyword(s):  
Ionic Strength ◽  
Basal Body ◽  
Three Dimensional ◽  
Dimensional Structure ◽  
Protein Species ◽  
Liquid Environment ◽  
Bacterial Flagellum ◽  
Left And Right ◽  
Rotary Motor ◽  
Helical Parameters

The bacterial cell is propelled through the liquid environment by means of one or more rotating flagella. The bacterial flagellum is composed of a basal body (rotary motor), hook (universal coupler), and filament (propellor). The filament is a rigid helical assembly of only one protein species — flagellin. The filament can adopt different morphologies and change, reversibly, its helical parameters (pitch and hand) as a function of mechanical stress and chemical changes (pH, ionic strength) in the environment.

Advantages of Complementary Stereo Images as Viewed with the Low-Temperature Field-Emission SEM

1992 ◽  
Vol 50 (2) ◽  
pp. 1314-1315
Author(s):  
William P. Wergin ◽  
Eric F. Erbe
Keyword(s):  
Fold Increase ◽  
Horizontal Displacement ◽  
Three Dimensions ◽  
Stereo Image ◽  
Stereo Pair ◽  
Sem Micrograph ◽  
Left And Right ◽  
The Common ◽  
The Brain ◽  
Pair Analysis

The eye-brain complex allows those of us with normal vision to perceive and evaluate our surroundings in three-dimensions (3-D). The principle factor that makes this possible is parallax - the horizontal displacement of objects that results from the independent views that the left and right eyes detect and simultaneously transmit to the brain for superimposition. The common SEM micrograph is a 2-D representation of a 3-D specimen. Depriving the brain of the 3-D view can lead to erroneous conclusions about the relative sizes, positions and convergence of structures within a specimen. In addition, Walter has suggested that the stereo image contains information equivalent to a two-fold increase in magnification over that found in a 2-D image. Because of these factors, stereo pair analysis should be routinely employed when studying specimens.Imaging complementary faces of a fractured specimen is a second method by which the topography of a specimen can be more accurately evaluated.

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