Mathematical Analysis Of The Baroreflex Regulation And Its Interaction With Blood Flow Regulation

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Abstract The generation and interpretation of normal and abnormal electrocardiograms (ECGs) through mathematical methods have been major areas of research for several decades. This paper presents a new mathematical function (the Tehran-Cairo formula), which, is capable of generating both normal 12-lead ECGs and abnormal ECG patterns. In addition, the 7th wave of the ECG (or the V-wave) is introduced. It has been defined mathematically, and there is also some electrophysiological evidence in favour of its existence. In this dynamic 2D model of ...

Abstract The generation and interpretation of normal and abnormal electrocardiograms (ECGs) through mathematical methods have been major areas of research for several decades. This paper presents a new mathematical function (the Tehran-Cairo formula), which, is capable of generating both normal 12-lead ECGs and abnormal ECG patterns. In addition, the 7th wave of the ECG (or the V-wave) is introduced. It has been defined mathematically, and there is also some electrophysiological evidence in favour of its existence. In this dynamic 2D model of ...

Abstract We propose an original model for automatic reading of mathematical texts, founded on a recursive approach and a hierarchical view of the latter. This hierarchy in the text has been introduced by means of the notion of mathematical object, that we characterise by a set of definitions. A prior segmentation phase of mathematical objects in text is performed, using character matching techniques and propagating the labelling process of mathematical objects around "special characters" initially recognised. Complex and dynamical tree represe...

Abstract We propose an original model for automatic reading of mathematical texts, founded on a recursive approach and a hierarchical view of the latter. This hierarchy in the text has been introduced by means of the notion of mathematical object, that we characterise by a set of definitions. A prior segmentation phase of mathematical objects in text is performed, using character matching techniques and propagating the labelling process of mathematical objects around "special characters" initially recognised. Complex and dynamical tree represe...

Mathematical analysis of the optimal habitat configurations for species persistence

Abstract Symbol segmentation is very important in handwritten mathematical formula recognition, since it is the very first portion of the recognition process. This paper proposes a new symbol segmentation method using mathematical structure information. The base technique of symbol segmentation employed in the existing methods is dynamic programming which optimizes the overall results of individual symbol recognition. The new method we propose here improves symbol recognition performance by using correction values together with evaluation valu...

We consider the concept of a local set of inference rules. A local rule set can be automatically transformed into a rule set for which bottom-up evaluation terminates in polynomial time. The local-rule-set transformation gives polynomial-time evaluation strategies for a large variety of rule sets that cannot be given terminating evaluation strategies by any other known automatic technique. This paper discusses three new results. First, it is shown that every polynomialtime predicate can be defined by an (unstratified) local rule set. Second, a ...

Abstract The structure, the objectives, and the methodology of a new engineering course are described. The course is intended as a facilitating step connecting the basic portions of an engineering program to the engineering sciences. The main objective of the course is the coaching of students for the art of problem formulation or modeling, approached with a strong appeal to the use of laws of conservation; emphasis is given to the splitting of the process into two steps, the use of a fundamental law, followed by the use of a subsidiary law or...

ion, everyday examples, construction of objects, and naming There is a curious statement on page 163. In advocating a "tool-based" approach Confrey and Costa acknowledge that it would share a central feature with the ideas they are criticizing, to wit, "asserting the importance of structure". But then they say, "However, (in a tool-based approach) rather than demanding departure from activity, the act of seeing similarities in structure across different contexts would be the basis for abstraction." Again, I have said enough about inaccuracies s...

ion, everyday examples, construction of objects, and naming There is a curious statement on page 163. In advocating a "tool-based" approach Confrey and Costa acknowledge that it would share a central feature with the ideas they are criticizing, to wit, "asserting the importance of structure". But then they say, "However, (in a tool-based approach) rather than demanding departure from activity, the act of seeing similarities in structure across different contexts would be the basis for abstraction." Again, I have said enough about inaccuracies s...