The Geometric Calculus of Variations and Modelling Natural Phenomena

1993 ◽  
pp. 1-5 ◽  
Author(s):  
Fred Almgren
Keyword(s):  
Calculus Of Variations ◽  
Natural Phenomena ◽  
Geometric Calculus

On Asymmetric Distances

2013 ◽  
Vol 1 ◽  
pp. 200-231 ◽  
Author(s):  
Andrea C.G. Mennucci
Keyword(s):  
Total Variation ◽  
Calculus Of Variations ◽  
Distance Function ◽  
Metric Space ◽  
Metric Spaces ◽  
Geodesic Segment ◽  
Intrinsic Metric ◽  
Typical Application ◽  
Variation Formula

Abstract In this paper we discuss asymmetric length structures and asymmetric metric spaces. A length structure induces a (semi)distance function; by using the total variation formula, a (semi)distance function induces a length. In the first part we identify a topology in the set of paths that best describes when the above operations are idempotent. As a typical application, we consider the length of paths defined by a Finslerian functional in Calculus of Variations. In the second part we generalize the setting of General metric spaces of Busemann, and discuss the newly found aspects of the theory: we identify three interesting classes of paths, and compare them; we note that a geodesic segment (as defined by Busemann) is not necessarily continuous in our setting; hence we present three different notions of intrinsic metric space.

Simulating Self-Regeneration and Self-Replication Processes Using Movable Cellular Automata with a Mutual Equilibrium Neighborhood

2020 ◽  
Vol 29 (4) ◽  
pp. 741-757
Author(s):  
Kateryna Hazdiuk ◽  
◽  
Volodymyr Zhikharevich ◽  
Serhiy Ostapov ◽  
◽  
...  
Keyword(s):  
Cellular Automata ◽  
Cellular Automaton ◽  
Three Dimensional ◽  
Computer Models ◽  
The Self ◽  
Model Construction ◽  
Natural Phenomena ◽  
Different Types ◽  
Movable Cellular Automata ◽  
Self Replication

This paper deals with the issue of model construction of the self-regeneration and self-replication processes using movable cellular automata (MCAs). The rules of cellular automaton (CA) interactions are found according to the concept of equilibrium neighborhood. The method is implemented by establishing these rules between different types of cellular automata (CAs). Several models for two- and three-dimensional cases are described, which depict both stable and unstable structures. As a result, computer models imitating such natural phenomena as self-replication and self-regeneration are obtained and graphically presented.

MUNDANE MIRACLES IN AWADH. ENCOUNTERS WITH THE REVEALED AND THE HIDDEN

2020 ◽  
pp. 130-140
Author(s):  
Maxim B. Demchenko ◽  
Keyword(s):  
The Other ◽  
Local People ◽  
Natural Phenomena ◽  
Mughal Empire ◽  
The Public ◽  
British Raj ◽  
The Subject ◽  
Other World ◽  
Better Than

The sphere of the unknown, supernatural and miraculous is one of the most popular subjects for everyday discussions in Ayodhya – the last of the provinces of the Mughal Empire, which entered the British Raj in 1859, and in the distant past – the space of many legendary and mythological events. Mostly they concern encounters with inhabitants of the “other world” – spirits, ghosts, jinns as well as miraculous healings following magic rituals or meetings with the so-called saints of different religions (Hindu sadhus, Sufi dervishes),with incomprehensible and frightening natural phenomena. According to the author’s observations ideas of the unknown in Avadh are codified and structured in Avadh better than in other parts of India. Local people can clearly define if they witness a bhut or a jinn and whether the disease is caused by some witchcraft or other reasons. Perhaps that is due to the presence in the holy town of a persistent tradition of katha, the public presentation of plots from the Ramayana epic in both the narrative and poetic as well as performative forms. But are the events and phenomena in question a miracle for the Avadhvasis, residents of Ayodhya and its environs, or are they so commonplace that they do not surprise or fascinate? That exactly is the subject of the essay, written on the basis of materials collected by the author in Ayodhya during the period of 2010 – 2019. The author would like to express his appreciation to Mr. Alok Sharma (Faizabad) for his advice and cooperation.

Pembelajaran Inovatif Ipa Di Sd/Mi Berorientasi Konstruktivistik (Contextual Teaching And Learning)

AKADEMIKA ◽  
2015 ◽  
Vol 9 (2) ◽  
pp. 217-229
Author(s):  
Elya Umi Hanik
Keyword(s):  
Elementary Schools ◽  
Learning Process ◽  
Real World ◽  
Teaching And Learning ◽  
Dominant Strategy ◽  
Learning Science ◽  
Practical Implementation ◽  
Natural Phenomena ◽  
Full Knowledge ◽  
Contextual Teaching

This article discusses about the Contextual Teaching and Learning (CTL) as an innovation of learning science in elementary schools. In fact, the practical implementation of learning is still focused on the teacher as the main actor in which instruction is the dominant strategy in the learning process. Basically CTL is a concept of learning that helps educators link between what is taught with real-world situations of students and encourages them to make connections between the knowledge possessed and implemented in their lives. The concept of CTL applied in science teaching course could have implications, especially in learning to understand the natural phenomena that are not only conceptual. In consequence, students can receive full knowledge built through real experiences.

Introduction

2018 ◽  
Author(s):  
Marcel Escudier
Keyword(s):  
Fluid Flow ◽  
Engineering Design ◽  
Ocean Waves ◽  
Basic Design ◽  
Natural Phenomena ◽  
Turbofan Engine ◽  
Expansion Waves ◽  
Supersonic Aircraft ◽  
Bodily Fluids ◽  
Design Calculations

In this chapter the wide array of engineering devices, from the kitchen tap (a valve) to supersonic aircraft, the basic design of which depends upon considerations of the flow of gases and liquids, is shown. Much the same is true of most natural phenomena from the atmosphere and our weather to ocean waves, and the movement of sperm and other bodily fluids. In this textbook a number of the concepts, principles, and procedures which underlie the analysis of any problem involving fluid flow or a fluid at rest are introduced. In this Introduction, examples have been selected for which, by the end of the book, the student should be in a position to make practically useful engineering-design calculations. These include a dam, a rocket motor, a supersonic aerofoil with shock and expansion waves, a turbojet engine, a turbofan engine, and the blading of a gas turbine.

Natural Phenomena and the Primacy of Experiment

2018 ◽  
Author(s):  
Massimiliano Di Ventra
Keyword(s):  
Objective Data ◽  
Natural Phenomena ◽  
Material World

This chapter defines what phenomena and objective data are and how the latter ones are obtained, and explains the fundamental role of experiments in obtaining information on the material world.

scholarly journals How Do Five- to Six-Year-Old Children Interpret a Burning Candle?

2021 ◽  
Vol 11 (5) ◽  
pp. 213
Author(s):  
Vanessa Sesto ◽  
Isabel García-Rodeja
Keyword(s):  
Qualitative Study ◽  
Young Children ◽  
Mental Representations ◽  
Prior Experience ◽  
Preschool Age ◽  
Natural Phenomena ◽  
Video Recordings ◽  
Preschool Age Children ◽  
Previous Learning ◽  
Science Activities

Many studies have been conducted in recent years on the explanations given by preschool-age children about different natural phenomena. Nonetheless, very few studies have actually focused on the important domain of matter and its transformations. Specifically, the field of chemical reactions remains unexplored. This qualitative study aims to investigate the explanations of twenty-two 5- to 6-year-old children about combustion, while at the same time evaluating the effect of prior experience with science activities on their interpretations. For this study, the following experiment was proposed: burning a candle inside an inverted vessel. The following data collection tools were used: a Predict-Observe-Explain (POE) strategy and audio and video recordings. The children’s explanations were analysed using classification frameworks, which had been developed in previous studies. The results of this study suggest that young children tend to provide naturalistic explanations about combustion. This finding is an indicator that young children are able to construct mental representations within this conceptual domain. Likewise, the results indicate that children who are used to engaging in inquiry-based activities may be more likely to establish a relationship with previous learning experiences to interpret other natural phenomena.

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