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Dimitris Apostolos Sardelis

Dimitris Apostolos Sardelis

Ph.D Theoretical Physics Imperial College
Former Math / Stat Professor at the American College of Greece

About

53
Publications
43,805
Reads
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124
Citations
Citations since 2017
24 Research Items
22 Citations
201720182019202020212022202302468
201720182019202020212022202302468
201720182019202020212022202302468
201720182019202020212022202302468
Introduction
Since the COVID-19 pandemia first broke out, my main research enterprise has been to trace by means of descriptive and inferential statistics, the pandemia’s space-time spread and inquire into a number of derivative interrelated aspects. My exclusive COVID-19 data source is the World Health Organization and my principal tool for editing and computing is Mathematica.
Additional affiliations
September 1991 - December 2010
American College of Greece
Position
  • Professor
September 1991 - December 2010
The American College of Greece
Position
  • Professor (Associate)
Description
  • Courses Taught:Finite Mathematics, Applied Calculus for Business and Economics, Calculus with Analytic Geometry I and II, Business Statistics I and II, Applied Statistics for the Behavioral Sciences I and II, Introductory Physics I and II.
September 1988 - June 1991
Southeastern College
Position
  • Professor
Description
  • Courses Taught: Calculus with Analytic Geometry I, II and III, Differential Equations, Probability and Statistics for Scientists and Engineers, Introduction to Modern Physics.

Publications

Publications (53)
Preprint
Full-text available
After processing with Mathematica the COVID-19 data reported daily to the World Health Organization by the national governments of the current 237 member states and dependencies, a complete joint data list is formed displaying the number of confirmed cases and of death casualties over time caused by the COVID-19 globally, worldwide. Applying essent...
Preprint
Full-text available
The principal theme of the current article is to reconstruct the chart of the COVID-19 pandemic space-time spread, i.e., to retrace its pathways and crossroads through countries around the globe. This retracing exploration is strictly based on the data collected by the World Health Organization
Preprint
Full-text available
Guided by a reasonable ranking hypothesis, the processing of the normalized COVID - 19 data for the member states of the World Health Organization yields a macro - statistical assessment which reflects the status of their overall handling of the ongoing pandemic crisis and also of the WHO regions to which they belong.
Presentation
Full-text available
The current presentation provides a summary account of the COVID-19 mortality status worldwide as perceived by its negative after-effects thus far: A most uneven distribution of the COVID-19 death casualties over time and among countries.
Preprint
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The aim of the present article is (a) to organize, process and display the COVID-19 WHO data for Greece, (b) to determine best fit functional models, and (c) to suggest prediction estimates by extrapolating the current data trends.
Presentation
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The aim of the current presentation is to review the kinematics of projectile motion derived from Newton's laws and unveil its underlying geometric properties which had already been explored by Archimedes long before Galileo came into the scene.
Preprint
Full-text available
OVERVIEW The aim of the current article is (a) to specify - pinpoint, enumerate and list - the essential COVID-19 spread figures for countries, (b) to determine their most commonly accepted infection and mortality measures and (c) to formulate and apply an assessment framework for the infection and mortality measures structured on the comparison of...
Research Proposal
Full-text available
In this work, the handling of the COVID-19 pandemia by the national states is crudely perceived just by the negative after-effects in different countries, i.e by their total COVID-19 death casualties. Five countries stand out so far as the main competitors in this deadly world race: USA, Brazil, India, Mexico and Russia. Based on the COVID-19 data...
Research Proposal
Full-text available
OVERVIEW The ultimate aim of the current research proposal is to explore the possibility of tentatively adopting the philosophical concept of anisotropy as a paradigm intended to reflect the epidemiological and socio-political components of the COVID-19 pandemia around the globe. As regards its direct objective, it should be and it actually is very...
Data
This 1-page file dedicated to the memory of all those lost by the COVID-19 pandemic, is a supplement to the article THE SPACE-TIME SPREAD TRACE OF THE COVID-19 PANDEMIC and comprises (1)a crying out photo of the pandemic disaster and (2) a citation from a speech of the UN director General António Guterres
Preprint
Full-text available
After almost eleven months of a highly uneven spread ranging from the remarkable long run of zero death casualties in Vietnam - a poor country with a population of 97.5 million - to the piles of hundreds of thousand deaths in the Americas and in Europe, the COVID-19 pandemic has turned out to be a most decisive stress/crash test for modern states (...
Research Proposal
Full-text available
Based on the data of The World Health Organization for the Coronavirus disease 2019 (COVID-19) spread, a statistical analysis is performed on the time series of the number of cases confirmed to have been infected by the virus and of the number of the death casualties provoked (i) globally (ii) within China and (iii) outside of China. Best fit funct...
Research Proposal
Full-text available
The aim of the current article is to explore the public debt issue of Greece from a strictly statistical point of view. A time-series table for the economy of Greece since 1980 is firstly displayed and complemented with the graphs of basic indicators (gross domestic product, current account balance, general government balance, public debt ). Using...
Presentation
Full-text available
The aim of the present article [1] is (i) to reproduce the results of the Wolfram MathWorld presentation of the Least Squares Fitting-Perpendicular Offsets [2] by using a more standardized notation which simplifies matters considerably, (ii) to extend the Wolfram MathWorld presentation by showing that only one of the two solutions derived there pro...
Presentation
Full-text available
Archimedes in his work Quadrature of the Parabola showed that the area of a parabolic segment equals 4/3 of the area of the triangle inscribed. His solution was constructed upon five theorems on parabolas three of which were stated without proof. The aim of the current article is to offer an exposition of these theorems on parabolas as close as pos...
Presentation
Full-text available
The aim of the current presentation is to explore the possibilities of representing positive integers as sums of other positive integers and highlight certain fundamental connections between their multiplicative and additive properties. In particular, we shall be concerned with the representation of positive integers as arithmetic series of the sim...
Research Proposal
Full-text available
The method of application of areas as presented in Euclid’s Elements, is employed to generate the three conics as loci of points satisfying certain construction requirements. The current conceptual reconstruction supports the view that the conics were most probably discovered as plane curves by fusing the method of the application of areas with th...
Research Proposal
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Research Proposal
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In a series of independent trials, the possible outcomes of some event actualize, one at a time.They are fixed in number and each has a fixed probability weight for different trials. Whenever all possible outcomes occur at least once, one may say that an event cycle has been completed. In the present article we shall derive the occurrence probabili...
Article
Full-text available
An overview is given of the main physical theories from Aristotle to supergravity in their conceptual conjunction and development. The unity of space-time and motion is found to be at the core of a unifying trend underlying physics in history.This summary presentation stresses out that what essentially determines the evolution of concepts is a deep...
Research Proposal
Full-text available
MANUSCRIPT NOTES on an applied statistics course designed for the Behavioral sciences which I had taught at the AMERICAN COLLEGE OF GREECE for a number of years. These notes include selected case studies on Hypothesis Testing and they were distributed to classes as a supplementary material.
Research Proposal
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Lecture Notes for a Statistics II course (Hypotheses testing) taught at the American College of Greece for a number of years for Business and Economics majors. At both lectures and computer labs, extensive use was made of the Mathematica technical computing software.
Article
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Graphical displays of the Current Account Balances time series of four country groupings comprising the Euro-zone whereby the germanocentric character of the Euro-zone becomes manifest.
Article
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The aim of the present article is to offer a strictly mathematical, statistical treatment of the current account balances in EU and in the Eurozone. Based on Eurostat data, an overview of the total and annual balances is first made for different collections among the EU countries. Then, using the Mathematica technical computing software, curve fitt...
Article
Full-text available
The aim of the present article is to treat the Greek public debt issue strictly as a curve fitting problem. Thus, based on Eurostat data and using the Mathematica technical computing software, an exponential function that best fits the data is determined modelling how the Greek public debt expands with time. Exploring the main features of this best...
Article
Full-text available
The abstract, mathematical model of randomly placing any number of balls (or particles) into any number of boxes (or cells) has had an impressively wide range of applicability in various disciplines. According as to whether or not the balls and/or cells are treated as distinguishable, three distinct statistics arise, namely the Maxwell-Boltzmann st...
Article
Full-text available
The classical Pythagorean problem may be phrased as follows: Can positive integers squared be added to produce the square of another positive integer? In particular, can any two positive integers squared be added up to produce the square of a third positive integer? The latter simplest problem version can be solved by means of elementary number pro...
Article
Full-text available
The aim of the present article is to explore the possibilities of representing positive integers as sums of other positive integers and highlight certain fundamental connections between their multiplicative and additive properties. In particular, we shall be concerned with the representation of positive integers as arithmetic series of the simplest...
Article
Full-text available
To represent positive integers by regular patterns on a plane or in three-dimensional space may be traced back to the Pythagoreans. The aim of the present article is to explore the possibility of extending the representation framework for integers to spaces with more than three dimensions. Thus, taking up a definition of polygonal numbers given by...
Article
Full-text available
In this note we present some regularities of natural numbers revealed by the induction-deduction method. We start with the observation that by adding successive odd numbers starting from 1, square numbers are generated. We then pass over to the case of adding successive odd numbers for producing numbers raised to higher powers (3, 4 and 5), and pro...
Presentation
Full-text available
The aim of the present presentation is to explore the possibilities of representing positive integers as sums of other positive integers and high¬light certain fundamental connections between their multiplicative and additive properties. In particular, we shall be concerned with the representation of positive integers as arithmetic series of the si...
Article
Full-text available
This article deals with the first indeterminate problem encountered in the work Arithmetica, which was written by Diophantus in around 250 AD. We present Diophantus's particular solution to one of the problems from Arithmetica, where one of the two unknowns is set beforehand as an example. We then give the general solution. We find that the indeter...
Article
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The aim of this article is to approximate n-factorial by an elementary continuous function of n.This problem possesses an intrinsic theoretical as well as a practical interest within the fields of probability and statistics whenever numerical calculations involving factorials are performed for large values of n. The matter is discussed in some deta...
Article
Full-text available
It is well known that Calculus originated from geometrical ideas of which a considerable portion refers to tangent line problems. Nevertheless, most textbooks hardly deal with any such problems except for the trivial case of finding the slope of the line tangent to a curve at one of its points. In this note, we treat the following classic tangent l...
Article
Full-text available
The current article deals with what has been known as the dowry or secretary problem, an artificial-idealized simulation of sequential decision processes. Its aim is to explore this problem reconstructing its solution through an ongoing developing learning process.
Presentation
Full-text available
To represent positive integers by regular patterns on a plane or in three-dimensional space remains an active trend in number theory which may be traced back to the works of its great pioneers — Gauss, Euler, Fermat, etc. — and even further back, to the founders of this conception, the Pythagoreans. The aim of the present article is to explore the...
Presentation
Full-text available
Based on the classic treatise «Introductio Arithmetica» written by Nicomachus of Gerasa (A.D. 100 ), the current work provides a thorough presentation of the pythagorean concept of number. More specifically, we explore the problem of representing natural numbers in terms of triangulars and we give a proof of Fermat’s conjecture (also known as Eurek...
Presentation
Full-text available
The current presentation is intended to have an educationally oriented character its purpose being to explore the well known secretary problem and reconstruct its solution through an ongoing, developing learning process. At first, we elaborate on the alternative possible strategies by a direct listing and enumerating of the cases where particular s...
Presentation
Full-text available
Lecture notes on probability used for an introductory mathematics course offered at the American College of Greece for a number of years. Parts: on sets, exploring possibilities, on probabilities, probability illustrations, conditional probabilities and independence, fifty challenging probability exercises and their solutions.
Presentation
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A contribution to an inter-disciplinary seminar entitled ”PROGRESS IN SCIENCES” conducted at the American College of Greece, offering a short philosophical overview of the conceptual aspects of progress in physics. The presentation concludes with some remarks regarding science teaching.
Article
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In this letter we show that a) the Guerra-Ruggiero-Vigier stochastic deduction of the Klein-Gordon equation rests essentially on the non-local character of the assumed fluctuations tied to the particle-antiparticle mixture in the vacuum, and b) the quantum-statistical distributions result essentially from a corresponding Markov-type of H-theorem
Article
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A quantum analysis is presented of combined first-order/second-order optical-interference experiments with or without the wave packet collapse concept. It is shown that the Bohr-Heisenberg model yields testable predictions which differ from those of the Einstein-de Broglie theory of light.
Article
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Like in the Bose-Einstein case, Fermi-Dirac statistics are shown to correspond to subquantal, causal, space-time behaviour of distinguishable particles correlated by actions-at-a-distance. This justifies the introduction of the non-local hidden parameters introduced by Bohm and Vigier in the stochastic interpretation of quantum mechanics.
Article
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Developing Tersoff and Bayers ideas one shows that quantum statistics result from distinguishable particles correlated by causal non-local actions-at-a-distance. The difference between classical and quantum statistics thus results from the uncontrollable non-local character of stochastic interactions connecting particles imbedded in Dirac's random...
Article
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By using the principle of relativity together with the general assumptions of space-time homogeneity and space isotropy underlying the principle of inertia, a most general transformation is constructed connecting any two inertial frames. The Galileo and the Lorentz transformations are then deduced by constraining these general inertial transformati...
Article
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Abstract -An investigation is made of the way in which the Galilean revolution in general and the law of free fall in particular came about historically. The prevailing views on the matter are submitted to a critical analysis, and it is shown that their essential contribution was to obscure rather than clarify Galileo’s discovery. It is proved, in...
Article
Full-text available
Aristotle's theory of motion is reviewed in its essential aspects. Regarding the nature of causal relations in motion, they are conceived to have the form of a uni-directional dependence (action), and not that of mutual action and inter-determination (interaction). In particular, Aristotle deduces by abstraction, the principle of inertia and the va...
Article
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It is shown that the manifestly covariant quantization of gravity correctly reproduces the classical Reissner-Nordström solution in the h-0 limit. This is explicitly verified by evaluating the lowest order tree graph contribution to the vacuum expectation value of the gravitational field produced by a spherically symmetric c-number charged source....
Article
Full-text available
Spherical charged matter distributions are examined in a coordinate-free manner within the framework of general relativity. Irrespective of models chosen to describe the interior structure of a charged particle, it is found that the latter's total gravitational mass is positive definite, being finite only when there exists a lower bound for its inv...
Thesis
Full-text available
The current PhD thesis with the specifications: https://spiral.imperial.ac.uk/handle/10044/1/20871 belongs to the selection of the University of London - Imperial College awarded theses which have been digitised: https://spiral.imperial.ac.uk/handle/10044/1/7140?offset=7560
Thesis
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Projects

Projects (5)
Project
We would like to invite you to submit papers to the 9th, 2023 International Conference on Control, Decision and Information Technologies (CoDIT 2023) – Sponsored by IEEE. The event will be held in Rome, Italy, July 03-06, 2023. Website: https://codit2023.com CoDIT is ranked as C-conference in CORE. The Call for Papers is available here: https://codit2023.com/Call_for_Papers_CoDIT2023.pdf _____________________________________________________ Registered and Presented papers will be published by IEEE Xplore as well as other Abstracting and Indexing (A&I) databases. Proceedings of all past editions of CoDIT are published through IEEE and indexed in: DBLP, Conference Proceedings Citation Index | Thomson Reuters, SCOPUS, Ei Compendex and IEEE. _____________________________________________________ CALL FOR SPECIAL SESSIONS We will be grateful if you propose Special Session (or invited Session). !!! We are looking to organize focused special (or invited) sessions, You can download the Special Session template through: https://codit2023.com/Template_Special_Session_CODIT23.docx IMPORTANT DATES AND DEADLINES Special sessions proposal due: December 10, 2022 Papers submission deadline: January 27, 2023 Acceptance notification: April 15, 2023 Final version due: May 20, 2023 COMMITTEES General co-Chairs: Claudia Califano, University of Rome La Sapienza, Italy Achraf Jabeur Telmoudi, University of Tunis, Tunisia Enrique Herrera Viedma, University of Granada, Spain Program co-Chairs: Nizar Bouguila, Concordia University, Canada Maria Pia Fanti, Polytechnic University of Bari, Italy Bozenna Pasik-Duncan, University of Kansas, USA Farouk Yalaoui, University of Technology of Troyes, France Advisory committee co-Chairs: Mariagrazia Dotoli, Polytechnic University of Bari, Italy Alessandro Giua, University of Cagliari, Italy Zhiwu Li, Xidian University, China Publication co-Chairs: Giuseppe Franzè, University of Calabria, Italy Nicholas Karampetakis, Aristotle University of Thessaloniki, Greece "Work in Progress" program co-chairs: Marco C. Campi, University of Brescia, Italy Massimiliano D'Angelo, University of Rome La Sapienza, Italy Paula Rocha Malonek, University of Porto, Portugal Special Sessions co-Chairs: Graziana Cavone, University of Roma Tre, Rome, Italy Feiqi Deng, South China University of Technology, China Alain Quilliot, Université Clermont-Auvergne, France Local Arrangement Committee co-Chairs: Claudia Califano, University of Rome La Sapienza, Italy Massimiliano D'Angelo, University of Rome La Sapienza, Italy Achraf Jabeur Telmoudi, University of Tunis, Tunisia The organizing committee will make maximum efforts to cope with COVID-19 related restrictions that may be in place next year.
Project
To study the fundamental physics concepts and the conceptual and logical interconnection of physical theories in a historical perspective. Our essential aim should be that the past and the present of theoretical physics be rendered in their historico-logical, necessary development; that this historical becoming be let on its own to express the logic of its dynamics; and, finally, that the fundamental categories of physics be displayed in their necessary and developmental conjunction.