scholarly journals Finitary codings for gradient models and a new graphical representation for the six‐vertex model

2021 ◽  
Author(s):  
Gourab Ray ◽  
Yinon Spinka
Keyword(s):  
Graphical Representation ◽  
Vertex Model ◽  
Gradient Models

Speeded Probed Recall Is Affected by Grouping

2015 ◽  
Vol 62 (6) ◽  
pp. 385-394
Author(s):  
Sergio Morra ◽  
Valentina Epidendio
Keyword(s):  
Serial Order ◽  
Word Lists ◽  
Order Representation ◽  
Interstimulus Intervals ◽  
Gradient Models

Abstract. Most of the evidence from previous studies on speeded probed recall supported primacy-gradient models of serial order representation. Two experiments investigated the effect of grouping on speeded probed recall. Six-word lists, followed by a number between 1 and 6, were presented for speeded recall of the word in the position indicated by the number. Grouping was manipulated through interstimulus intervals. In both experiments, a significant Position × Grouping interaction was found in RT. It is concluded that the results are not consistent with models of order representation only based on a primacy gradient. Possible alternative representations of serial order are also discussed; a case is made for a holistic order representation.

Missing Data - Better "Not to Have Them", but What If You Do? (Part 1)

Marketing ZFP ◽  
2019 ◽  
Vol 41 (4) ◽  
pp. 21-32
Author(s):  
Dirk Temme ◽  
Sarah Jensen
Keyword(s):  
Missing Data ◽  
Statistical Power ◽  
Missing Values ◽  
Graphical Representation ◽  
Marketing Research ◽  
Likelihood Estimation ◽  
Parameter Estimates ◽  
Full Information Maximum Likelihood ◽  
Definition Of ◽  
Traditional Approaches

Missing values are ubiquitous in empirical marketing research. If missing data are not dealt with properly, this can lead to a loss of statistical power and distorted parameter estimates. While traditional approaches for handling missing data (e.g., listwise deletion) are still widely used, researchers can nowadays choose among various advanced techniques such as multiple imputation analysis or full-information maximum likelihood estimation. Due to the available software, using these modern missing data methods does not pose a major obstacle. Still, their application requires a sound understanding of the prerequisites and limitations of these methods as well as a deeper understanding of the processes that have led to missing values in an empirical study. This article is Part 1 and first introduces Rubin’s classical definition of missing data mechanisms and an alternative, variable-based taxonomy, which provides a graphical representation. Secondly, a selection of visualization tools available in different R packages for the description and exploration of missing data structures is presented.

The properties of Bessel-type fractional derivatives and integrals

2016 ◽  
pp. 3973-3982
Author(s):  
V. R. Lakshmi Gorty
Keyword(s):  
Fractional Order ◽  
Real Line ◽  
Computer Algebra System ◽  
Fractional Derivatives ◽  
Graphical Representation ◽  
Fractional Integrals ◽  
The Real ◽  
Fractional Derivatives And Integrals ◽  
Half Axis ◽  
Derivatives Of

The fractional integrals of Bessel-type Fractional Integrals from left-sided and right-sided integrals of fractional order is established on finite and infinite interval of the real-line, half axis and real axis. The Bessel-type fractional derivatives are also established. The properties of Fractional derivatives and integrals are studied. The fractional derivatives of Bessel-type of fractional order on finite of the real-line are studied by graphical representation. Results are direct output of the computer algebra system coded from MATLAB R2011b.

ANALYSIS OF THE STRUCTURE AND PREDICTION OF HIV INFECTION INCIDENCE IN THE VORONEZH REGION

2020 ◽  
pp. 147-152
Author(s):  
Евгений Николаевич Коровин ◽  
Юлия Викторовна Сиромашенко ◽  
Владимир Николаевич Коровин
Keyword(s):  
Hiv Infection ◽  
Graphical Representation ◽  
Linear Trend ◽  
Risk Groups ◽  
Extrapolation Methods ◽  
The Past ◽  
Voronezh Region ◽  
The Future ◽  
Dynamic Series ◽  
Exponential Smoothing Method

В статье приведены анализ и прогнозирование основных статистических показателей, характеризующих развитие эпидемической ситуации по вирусу иммунодефицита человека (ВИЧ) в Воронежской области, а именно распределение по путям инфицирования. В качестве данных для прогнозирования были использованы показатели заболеваемости прошлых лет. Применяемый метод прогнозирования основан на методах экстраполяции. Все методы экстраполяции объединяет то, что они проецируют на будущее ход событий, сложившийся в прошлом. При этом не устанавливаются никакие причинные связи - принимается, что действующие в прошлом силы без существенных изменений будут действовать и в будущем. При формировании прогнозов с помощью экстраполяции исходят из статистически складывающихся тенденций изменения тех или иных количественных характеристик объекта за определённый период. Прогнозирование заболеваемости ВИЧ осуществляется с помощью метода экспоненциального сглаживания с использованием линейного тренда и выбором оптимальных параметров сглаживания. Трендом называют аналитическое или графическое представление изменения переменной во времени, полученное в результате выделения регулярной (систематической) составляющей динамического ряда. Основной целью анализа и прогнозирования является выявление основных тенденций по распространению ВИЧ-инфекции, определение основных путей инфицирование, а также выделение ключевых групп риска среди населения Воронежской области The article analyzes and predicts the main statistical indicators that characterize the development of the epidemic situation of human immunodeficiency virus (HIV) in the Voronezh region, namely, the distribution by infection pathways. Previous years ' morbidity rates were used as data for forecasting. The applied forecasting method is based on extrapolation methods. What all extrapolation methods have in common is that they project the course of events in the past into the future. At the same time, no causal relationships are established - it is assumed that the forces operating in the past will continue to operate in the future without significant changes. When forming forecasts using extrapolation, they are based on statistically developing trends in changes in certain quantitative characteristics of an object over a certain period. Predicting the incidence of HIV is carried out using the exponential smoothing method using a linear trend and choosing the optimal smoothing parameters. A trend is an analytical or graphical representation of changes in a variable over time, resulting from the allocation of a regular (systematic) component of a dynamic series. The main goal of the analysis and forecasting is to identify the main trends in the spread of HIV infection, identify the main routes of infection, and identify key risk groups among the population of the Voronezh region

A Note on Estimating the Case Fatality Ratio for Novel Corona Virus Disease (Covid-19)

Coronaviruses ◽  
2020 ◽  
Vol 01 ◽  
Author(s):  
Prafulla Kumar Swain
Keyword(s):  
Confidence Interval ◽  
Graphical Representation ◽  
Virus Disease ◽  
Case Fatality ◽  
Case Fatality Ratio ◽  
Healthcare Planning ◽  
Robust Estimates ◽  
University Of Oxford ◽  
Pros And Cons ◽  
Death Cases

Background: In this paper an attempt has been made to estimate the Case Fatality Ratio (CFR) for coronavirus disease of India and few selected countries. and Also, highlighted the pros and cons of obtaining crude and adjusted CFR of COVID-19 pandemic. Material and Methods: Data extracted from WHO situation report and University of Oxford website have been used for this analysis. The CFR and its 95% confidence interval were computed, trend and bar plot was used for graphical representation. Results: The worldwide crude CFR stands 6.73% (95% CI 6.69 to 6.76) based on 21, 83, 877 confirmed and 1,46,872 death cases(as on 17th April,2020). Belgium was highest CFR 13.95% as compared to others. However, India’s CFR was found to be around 3.26% (as on 17th April, 2020). Conclusion: In conclusion, the estimation and interpretation of CFR is critical in response to ongoing COVID-19. The initial CFR estimates are subject to change, still it is useful for healthcare planning over the coming months. Moreover, the precise and robust estimates of CFR will be available only at the end of the epidemic.

Proof Theory of the Cut Rule

2018 ◽  
Author(s):  
J. R. B. Cockett ◽  
R. A. G. Seely
Keyword(s):  
Proof Theory ◽  
Graphical Representation ◽  
Basic Component ◽  
Graphical Representations ◽  
Mathematical Language ◽  
Basic Logic ◽  
Cut Rule ◽  
Structural Rules ◽  
The One ◽  
Categorical Semantics

This chapter describes the categorical proof theory of the cut rule, a very basic component of any sequent-style presentation of a logic, assuming a minimum of structural rules and connectives, in fact, starting with none. It is shown how logical features can be added to this basic logic in a modular fashion, at each stage showing the appropriate corresponding categorical semantics of the proof theory, starting with multicategories, and moving to linearly distributive categories and *-autonomous categories. A key tool is the use of graphical representations of proofs (“proof circuits”) to represent formal derivations in these logics. This is a powerful symbolism, which on the one hand is a formal mathematical language, but crucially, at the same time, has an intuitive graphical representation.

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