scholarly journals Optimal Play for Multiple Lottery Wins

10.37236/9555 ◽  
2020 ◽  
Vol 27 (3) ◽  
Author(s):  
Richard Stong ◽  
Skip Garibaldi
Keyword(s):  
United States ◽  
Optimal Strategy ◽  
The United States ◽  
Lattice Paths ◽  
Binomial Coefficients ◽  
State Lottery ◽  
Probability Of Success ◽  
Jogo Do Bicho

We determine the optimal strategy for a family of lottery games involving repeated drawings with the same conditions, which includes Brazil's jogo do bicho and games typically offered by state lottery organizations in the United States under names such as Daily 4 or Cash 3.  The proof that the strategy is optimal and the resulting formula for the probability of success both rely on a solution to a recursion that generalizes the usual Pascal recursion for binomial coefficients, which itself relies on a count of lattice paths.  We illustrate how our result can be applied to focus on-the-ground investigations of suspicious patterns of lottery wins.

scholarly journals What pacing strategy 800m and 1500m swimmers use?

2019 ◽  
Vol 21 ◽  
Author(s):  
Géssyca Tolomeu de Oliveira ◽  
Francisco Zacaron Werneck ◽  
Emerson Filipino Coelho ◽  
Mário Antônio de Moura Simim ◽  
Eduardo Macedo Penna ◽  
...  
Keyword(s):  
United States ◽  
Decision Tree ◽  
Optimal Strategy ◽  
Olympic Games ◽  
The United States ◽  
Subsequent Increase ◽  
Pacing Strategy ◽  
Test Event

Abstract Pacing strategy (PS) has a decisive impact on performance, especially on long-term races.The objective of this study is to characterize the PS used in swimming races of 800m and 1500m freestyle by the finalists of the Olympic trials of the United States, Europe and Brazil,and the Olympic finalists of 2016.Time partials of 63 athletes were analyzed using a decision tree and the CHAID method. The results showed that parabolic was adopted by swimmers of 800m, they start in first lap (29.67 ± 0.88 s), followed by an increase in time (+1.77 s) and a subsequent increase in time (32.04 ± 0.89 s), at the end, the swimmers presented an acceleration,reducing the average of the to 31.44 s. And by the free 1500m swimmers, divided into blocks with a faster average start (29.25 ± 1.15 s), half of the slowest race (30.30 ± 0.76 s), and a new acceleration at the end of the event (29.92 ± 1.12 s), both in the selective Olympic Games and the 2016 and 2016 Olympic final.The worst partials times were observed in the Brazilian Selective (Test Event) (31.11 ± 0.78 s). Medalist, despite presetting the same OS, can sustain a better rhythm throughout he 800m (31.52 ± 1.03 s) and 1500-m (29.80 ± 0.78). We conclude that parabolic PS is the optimal strategy adopted by swimmers of 800-m and 1500m freestyle.

The Nuclear Necessity Principle: Making U.S. Targeting Policy Conform with Ethics & the Laws of War

Daedalus ◽  
2016 ◽  
Vol 145 (4) ◽  
pp. 62-74 ◽  
Author(s):  
Jeffrey G. Lewis ◽  
Scott D. Sagan
Keyword(s):  
United States ◽  
Armed Conflict ◽  
Just War ◽  
The United States ◽  
Collateral Damage ◽  
Nuclear War ◽  
Nuclear Policy ◽  
Law Of Armed Conflict ◽  
Probability Of Success ◽  
Just War Doctrine

In 2013, Obama administration spokesmen stated that all U.S. nuclear war plans “apply the principles of distinction and proportionality and seek to minimize collateral damage to civilian populations and civilian objects.” We analyze U.S. nuclear policy documents and argue that major changes must be made if U.S. nuclear war plans are to conform to these principles of just war doctrine and the law of armed conflict. We propose that the U.S. president announce a commitment to a “principle of necessity,” committing the United States not to use nuclear weapons against any military target that can be destroyed with reasonable probability of success by a conventional weapon. Such a doctrinal change would reduce collateral damage from any nuclear strike or retaliation by the United States and would, we argue, make our deterrent threats more credible and thus more effective.

scholarly journals The Rise of Sino-Russian Order? Mapping China's and Russia's Geo-Economic Capabilities

2018 ◽  
Vol 12 (1) ◽  
pp. 103
Author(s):  
Radityo Dharmaputra
Keyword(s):  
United States ◽  
World Order ◽  
The United States ◽  
Asia Pacific ◽  
Pacific Region ◽  
Asia Pacific Region ◽  
Conflict And Cooperation ◽  
The World ◽  
Probability Of Success ◽  
Emerging Powers

There is a growing debate about the emerging powers of China and Russia and the possibility of the two countries to balance the hegemony of United States in the world order. Based on the proposed geo-economical approach, I analyse the growing dynamics of China and Russia and compare the strengths and weaknesses of each countries’ style of economic development. After analysing the strengths and weaknesses of both countries, I elaborate the possibility of conflict and cooperation between them. I argue about the probability of success and failure in the both countries’ aspiration to balance the domination of United States. These dynamics, whether ending in challenging the U.S. hegemony or not, is likely to generate concerns, especially in the Asia-Pacific region. Therefore, I also elaborate the possible complications in the regions regarding the both countries’ quest for power. In the end, I try to argue about the position of China and Russia related to the relative position of the United States, especially in the Asia-Pacific region.

Party Strength in the United States: Some Corrections

1975 ◽  
Vol 37 (2) ◽  
pp. 641-642 ◽  
Author(s):  
Paul T. David
Keyword(s):  
United States ◽  
The United States ◽  
Party Strength

Correlative microscopy in distrubuted (client/server) computing environments: tools for catalyzing the rapid dissemination of information about the cell biology of the human prostate

1995 ◽  
Vol 53 ◽  
pp. 682-683
Author(s):  
A. Hakam ◽  
J.T. Gau ◽  
M.L. Grove ◽  
B.A. Evans ◽  
M. Shuman ◽  
...  
Keyword(s):  
United States ◽  
Cell Biology ◽  
Tissue Bank ◽  
The United States ◽  
Prostate Adenocarcinoma ◽  
Correlative Microscopy ◽  
Client Server ◽  
Critical Elements ◽  
Transplant Organ

Prostate adenocarcinoma is the most common malignant tumor of men in the United States and is the third leading cause of death in men. Despite attempts at early detection, there will be 244,000 new cases and 44,000 deaths from the disease in the United States in 1995. Therapeutic progress against this disease is hindered by an incomplete understanding of prostate epithelial cell biology, the availability of human tissues for in vitro experimentation, slow dissemination of information between prostate cancer research teams and the increasing pressure to “ stretch” research dollars at the same time staff reductions are occurring.To meet these challenges, we have used the correlative microscopy (CM) and client/server (C/S) computing to increase productivity while decreasing costs. Critical elements of our program are as follows:1) Establishing the Western Pennsylvania Genitourinary (GU) Tissue Bank which includes >100 prostates from patients with prostate adenocarcinoma as well as >20 normal prostates from transplant organ donors.

Digital image acquisition, processing, and analysis in a polymer microscopy laboratory

1994 ◽  
Vol 52 ◽  
pp. 454-455
Author(s):  
Vinod K. Berry ◽  
Xiao Zhang
Keyword(s):  
United States ◽  
Image Analysis ◽  
Digital Image ◽  
Image Acquisition ◽  
Image Transmission ◽  
The United States ◽  
Quantitative Image Analysis ◽  
Quantitative Image

In recent years it became apparent that we needed to improve productivity and efficiency in the Microscopy Laboratories in GE Plastics. It was realized that digital image acquisition, archiving, processing, analysis, and transmission over a network would be the best way to achieve this goal. Also, the capabilities of quantitative image analysis, image transmission etc. available with this approach would help us to increase our efficiency. Although the advantages of digital image acquisition, processing, archiving, etc. have been described and are being practiced in many SEM, laboratories, they have not been generally applied in microscopy laboratories (TEM, Optical, SEM and others) and impact on increased productivity has not been yet exploited as well.In order to attain our objective we have acquired a SEMICAPS imaging workstation for each of the GE Plastic sites in the United States. We have integrated the workstation with the microscopes and their peripherals as shown in Figure 1.

Silence of the Land: On the Historical Irrelevance of Territory to Congressional Districting and Political Representation in the United States

2001 ◽  
Vol 15 (01) ◽  
pp. 53-87 ◽  
Author(s):  
Andrew Rehfeld
Keyword(s):  
United States ◽  
House Of Representatives ◽  
Political Representation ◽  
The United States ◽  
Representative Government ◽  
Congressional District ◽  
Congressional Districts ◽  
Communities Of Interest

Every ten years, the United States “constructs” itself politically. On a decennial basis, U.S. Congressional districts are quite literally drawn, physically constructing political representation in the House of Representatives on the basis of where one lives. Why does the United States do it this way? What justifies domicile as the sole criteria of constituency construction? These are the questions raised in this article. Contrary to many contemporary understandings of representation at the founding, I argue that there were no principled reasons for using domicile as the method of organizing for political representation. Even in 1787, the Congressional district was expected to be far too large to map onto existing communities of interest. Instead, territory should be understood as forming a habit of mind for the founders, even while it was necessary to achieve other democratic aims of representative government.

A quarter century of changes in oral health in the United States

1995 ◽  
Vol 59 (1) ◽  
pp. 19-57 ◽  
Author(s):  
BA White ◽  
DJ Caplan ◽  
JA Weintraub
Keyword(s):  
United States ◽  
Oral Health ◽  
The United States ◽  
Quarter Century

Dental education in the United States. Part III. The recommendations

1978 ◽  
Vol 42 (5) ◽  
pp. 243-245
Author(s):  
H Loe
Keyword(s):  
United States ◽  
Dental Education ◽  
The United States
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