A Call to Duty

Home Front ◽  
2017 ◽  
Keyword(s):  
Family Business ◽  
Health And Safety ◽  
Selective Service ◽  
Large Numbers ◽  
Complicated Process ◽  
The Law ◽  
Health Illiteracy ◽  
American Army

The American Army was in woeful shape in 1940 and needed an instant infusion of troops. The Training and Selective Service Act of 1940 established the process where American men would be registered and inducted into the service. The complicated process, carried out by volunteers, had numerous exceptions for health, illiteracy, and family business responsibilities (work necessary to the health and safety of the country). With some exceptions, Americans obeyed the law and signed up in large numbers.

Education in Virtual Environments

2020 ◽  
Author(s):  
Aaron Saiger
Keyword(s):  
Progressive Era ◽  
Economies Of Scale ◽  
Health And Safety ◽  
Student Rights ◽  
Education Law ◽  
Virtual Schooling ◽  
Virtual Technology ◽  
The Law ◽  
Bureaucratic Institutions ◽  
Fixed Times

The bricks-and-mortar schools contemplated by American education law and regulation are discrete, bureaucratic institutions, where children interact in person with one another, and with adults who supervise them, inside fixed physical borders at fixed times. Their governance is likewise defined geographically. Virtual schooling, by contrast, is untethered from geography, is ubiquitously asynchronous, and involves the interaction of machine representations of people rather than of people themselves. Virtuality privileges the consumer over the bureaucrat, encourages the disaggregation and recombination of educational components on a bespoke basis, and brings different economies of scale and competitive features to the educational marketplace. The education law we have—the law of the traditional, embodied school—fits virtual technology poorly in critical respects. Virtuality demands fundamentally new legal approaches to areas as diverse as curriculum, attendance, student health and safety, privacy, parental responsibility, disability, student rights, discipline, governance, and equity. Responding to these demands provides occasion to see the law afresh, to reassess and redirect, to align principle and practice more closely, and ultimately to transform educational regulation in the service of equity and learning. This is an opportunity of a kind that has not presented itself since the beginning of the Progressive Era.

scholarly journals A new proof for the generalized law of large numbers under Choquet expectation

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Jing Chen ◽  
Zengjing Chen
Keyword(s):  
Probability Theory ◽  
Law Of Large Numbers ◽  
Moment Condition ◽  
Large Numbers ◽  
Choquet Expectation ◽  
The Law ◽  
Linear Probability ◽  
First Moment ◽  
Independent And Identically Distributed

Abstract In this article, we employ the elementary inequalities arising from the sub-linearity of Choquet expectation to give a new proof for the generalized law of large numbers under Choquet expectations induced by 2-alternating capacities with mild assumptions. This generalizes the Linderberg–Feller methodology for linear probability theory to Choquet expectation framework and extends the law of large numbers under Choquet expectation from the strong independent and identically distributed (iid) assumptions to the convolutional independence combined with the strengthened first moment condition.

Killing the Law of Large Numbers: Mortality Risk Premiums and the Sharpe Ratio

2006 ◽  
Vol 73 (4) ◽  
pp. 673-686 ◽  
Author(s):  
M. A. Milevsky ◽  
S. D. Promislow ◽  
V. R. Young
Keyword(s):  
Mortality Risk ◽  
Law Of Large Numbers ◽  
Sharpe Ratio ◽  
Risk Premiums ◽  
Large Numbers ◽  
The Law

SYNCHRONIZATION IN RANDOMLY DRIVEN SYSTEMS

1995 ◽  
Vol 09 (16) ◽  
pp. 985-988 ◽  
Author(s):  
A.M. JAYANNAVAR
Keyword(s):  
Simple Model ◽  
Law Of Large Numbers ◽  
Driven Systems ◽  
Large Numbers ◽  
Long Time ◽  
The Law

We have solved analytically a simple model of evolution of particles driven by identical noise. We show that the trajectories of all particles collapse into a single trajectory at long time. This synchronization also leads to violation of the law of large numbers.

Do globally coupled maps really violate the law of large numbers?

1994 ◽  
Vol 72 (11) ◽  
pp. 1644-1646 ◽  
Author(s):  
Arkady S. Pikovsky ◽  
Jürgen Kurths
Keyword(s):  
Law Of Large Numbers ◽  
Large Numbers ◽  
Coupled Maps ◽  
The Law
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