scholarly journals I. A memoir on the theory of mathematical form

1886 ◽  
Vol 177 ◽  
pp. 1-70 ◽  
Keyword(s):  
Mathematical Form ◽  
Mathematical Thought ◽  
Infinite Variety

1. My object in this memoir is to separate the necessary matter of exact or mathematical thought from the accidental clothing—geometrical, algebraical, logical, &c.—in which it is usually presented for consideration; and to indicate wherein consists the infinite variety which that necessary m atter exhibits. 2. The memoir is confined to the exposition of fundamental principles, to their elementary developments, to their application to such a variety of cases as will vindicate their value, and to a description of some simple and uniform modes of putting the necessary matter in evidence. I have been unable to ascertain that the principles here set forth have been previously formulated.

Energy Policy: An Optimal Allocation Approach

1985 ◽  
Vol 24 (3-4) ◽  
pp. 551-563
Author(s):  
Tariq Riaz
Keyword(s):  
Economic Policy ◽  
Energy Policy ◽  
Specific Energy ◽  
Optimal Allocation ◽  
Mathematical Form ◽  
Policy Recommendations ◽  
Energy Problem ◽  
Study Section ◽  
Central Energy ◽  
Allocation Approach

Any system of ideas which underlies economic policy recommendations needs to be made explicit so that its doctrinal premise may be examined and debated. Section I of this paper, therefore, explicitly states the philosophical under -pinning of this study. Section 2 presents the central energy problem in a general mathematical form whereas the solution of the specific energy problem for the Pakistani economy is presented in Section 3, in which policy guidelines for obtaining the desired solution have also been discussed. Finally, Section 4 briefly presents our concluding remarks.

The Energy of the Electrostatic Field

2020 ◽  
Vol 67 (1) ◽  
pp. 35-41
Author(s):  
Igor’ P. Popov
Keyword(s):  
Electrostatic Field ◽  
Energy System ◽  
Electrostatic Energy ◽  
Research Purpose ◽  
Target System ◽  
Mathematical Form ◽  
Stored Energy ◽  
Energy Materials ◽  
Modeling And Analysis ◽  
Maximum Work

The work is actual due to the increased role of electrostatic energy in connection with the beginning of mass production of ionistors used in the power supply system of electric vehicles, and the need for the development of theoretical support. (Research purpose) The research purpose is in increasing the correctness of electrostatic calculations that exclude the possibility of obtaining unreliable results in the form of infinite electrostatic energy. (Materials and methods) Authors have used methods of mathematical modeling and analysis, studied the mathematical model as the equivalent of an object that reflects in mathematical form its most important properties, such as the laws that it obeys, and the relationships inherent in its constituent parts. (Results and discussion) Authors have studied the electrostatic field created by a system of two charges of the same name or different names. The article presents calculations for charges located in bodies that have the shape of balls. It was found that the results could be generalized to any form of charged objects. They gave three definitions: first, the total stored energy is the energy of the system or object, equal to the maximum work that the system or object can do if it is given such an opportunity. Second, the conditional realized stored energy is a part of the total stored energy of the system or object, equal to the work that the system or object can produce, limited by a condition that excludes the possibility of the system or object performing the maximum work that the system or object can hypothetically perform. The third is a conditional impossible reserved energy as a part of a complete stored energy system or an object that is equal to the work system or object can do and limited by the condition, which excludes the possibility of making a system or object maximum work that target system or object could hypothetically do. Five theorems were proved. (Conclusions) It was found that the main drawback of the actual potential energy formula is an infinitely large increase in energy at radius tending to 0. The obtained formulas for stored electrostatic energy are devoid of this drawback.

An automatic decision algorithm and simulation performance analysis for public safety

2021 ◽  
pp. 1-12
Author(s):  
Xiangwei Qi ◽  
Weimin Pan ◽  
Bingcai Chen ◽  
Gulila Altenbek
Keyword(s):  
Emergency Response ◽  
Terrorist Attack ◽  
Scheduling Algorithm ◽  
Terrorist Attacks ◽  
Mathematical Form ◽  
Decision Algorithm ◽  
Simulation Performance ◽  
Whole Process ◽  
Real Scene ◽  
Crowd Evacuation

As the current society is increasingly facing major challenges from extremism and terrorism, protecting key urban public facilities and important targets from destruction is an important challenge facing the security departments of all countries. Based on real scene, this paper conducts researches on anti-terrorism security game algorithms and emergency response models in response to the three key links of before, during and after terrorist attacks. First of all, this paper constructs a multi-round joint attack game and emergency response model based on cooperation, establishes the optimization problem of solving the defender’s optimal strategy in mathematical form, and then obtains the optimal defense strategy. Secondly, in response to the fact that terrorists are not completely rational, a new hybrid model is constructed to propose an efficient allocation and scheduling algorithm for safe resources in response to terrorist attacks. Thirdly, a model of crowd evacuation strategy after a terrorist attack is built based on the problem of crowd evacuation in multiple rounds of premeditated cooperative attacks. Finally, taking the area of the first ring of a certain city as a real scene, a complete game system of the whole process is constructed, and the game effectiveness evaluation of the existing security resource allocation scheme in the first ring area is carried out. Through the research of this thesis, the author puts forward some new technical ideas for the current society’s anti-terrorism governance, and hopes to provide some technical references for the decision-making of security agencies.

Sexual Difference, Animal Difference: Derrida and Difference “Worthy of Its Name”

Hypatia ◽  
2009 ◽  
Vol 24 (2) ◽  
pp. 54-76 ◽  
Author(s):  
Kelly Oliver
Keyword(s):  
Sexual Difference ◽  
Sexual Differences ◽  
Binary Opposition ◽  
Infinite Variety

I challenge the age-old binary opposition between human and animal, not as philosophers sometimes do by claiming that humans are also animals, or that animals are capable of suffering or intelligence, but rather by questioning the very category of “the animal” itself. This category groups a nearly infinite variety of living beings into one concept measured in terms of humans—animals are those creatures that are not human. In addition, I argue that the binary opposition between human and animal is intimately linked to the binary opposition between man and woman. Furthermore, I suggest that thinking through animal differences or differences among various living creatures opens up the possibility of thinking beyond the dualist notion of sexual difference and enables thinking toward a multiplicity of sexual differences.

Monteverdi's infinite variety

Early Music ◽  
2010 ◽  
Vol 38 (3) ◽  
pp. 460-463
Author(s):  
G. Camp
Keyword(s):  
Infinite Variety

An Introduction to Mathematical Thought.

1953 ◽  
Vol 60 (8) ◽  
pp. 559
Author(s):  
F. Bagemihl ◽  
E. R. Stabler
Keyword(s):  
Mathematical Thought

Water movements in lakes during summer stratification; evidence from the distribution of temperature in Windermere

1952 ◽  
Vol 236 (635) ◽  
pp. 355-398 ◽  
Keyword(s):  
Internal Waves ◽  
Mathematical Form ◽  
Historical Survey ◽  
Thermo Electric ◽  
Stratified Lakes ◽  
Natural Lakes ◽  
Complicating Factors ◽  
Internal Seiches ◽  
Theoretical Analyses ◽  
Scottish Lochs

The first part of this paper is taken up with an historical survey of the relatively few observations, some detailed and some less so, of internal seiches (internal standing waves) in lakes. After a description of the thermo-electric thermometer employed, there follow details and illustrations of the evidence, from temperature observations, for such internal waves in the northern basin of Windermere. Two main phases could be distinguished: (i) motion under wind stress leading to quasi-steady states with some or all of the isotherms tilted; (ii) internal seiche motion which developed after the wind had dropped. These observations confirm the findings of Wedderburn and his collaborators on the Scottish Lochs (1907-15). The results from Windermere are presented, not because any such confirmation is necessary, but in order to secure belated recognition of the fact that Wedderburn’s ‘ temperature seiche ’ is not an isolated phenomenon, but is an everyday feature of movement in stratified lakes subject to wind action. As this movement is an important and largely unrecognized factor in lake environment, this paper is addressed mainly to limnologists. In its latter part, results of theoretical analyses of a detailed series of observations are presented in non-mathematical form. The applicability of a theory of oscillations in a basin with three layers of differing density (set out in an appendix by M. S. Longuet-Higgins) is tested by comparing theoretical and observed deflexions of selected isotherms from their equilibrium levels, resulting from internal waves after a gale. This theory also enables horizontal components of velocity and displacement to be calculated for each layer. Complicating factors in natural lakes are enumerated, and the influence of internal waves on lake biology and sedimentation is discussed.

Particle Transport Coefficient (PTC) and Phase-Efficiency Diagram: A New Perspective to Evaluate Three-Phase Particle-Laden Flow

2020 ◽  
Author(s):  
Zhifeng Zhang ◽  
Antoine Jean-Claude Jacques Pruvot ◽  
Pablo Cisternas ◽  
James McAndrew
Keyword(s):  
Particle Transport ◽  
Transport Coefficient ◽  
Vertical Direction ◽  
Environmental Cost ◽  
Mathematical Form ◽  
Horizontal Pipe ◽  
Carrier Fluid ◽  
Transport Efficiency ◽  
Three Phase ◽  
New Perspective

Abstract Many technologies have been developed to improve the ability of fluids to transport particles. However, the evaluation of particle transport efficiency remains challenging, especially in complex flow such as three-phase flow. In the present research, theoretical and experimental work is conducted to develop a new perspective of evaluating particle transport technologies, particle transport coefficient (PTC) as the particle transport distance per unit volume of water consumption considering the transport efficiency and environmental cost. The mathematical form of the PTC for the steady-state transport case is derived, followed by three special transport cases: (a) PTC = 0 when particle settled or stuck, (b) PTC = infinity in the vertical direction, considering gravity or buoyant with carrier fluid stationary, while PTC = 0 in a horizontal pipe due to particle settlement; and (c) PTC = 2 for an infinitely small particle at the center of a fully-developed laminar flow in a pipe. Furthermore, the fluid property and surface property influence on PTC are experimentally demonstrated. We believe the proposed approach can promote the development of particle transport technologies.

Sign in / Sign up

Export Citation Format

Share Document