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基于ODDSE五步教学法的视觉传达设计专业建设路径研究
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作者 左文 《中文科技期刊数据库(全文版)教育科学》 2023年第6期67-70,共4页
随着社会对视觉传达设计人才的需求日益增长,各大院校都在不断地调整学科建设、优化人才培养方案,不断地提高人才培养质量,以适应社会对视觉传达设计专业的需求。如何将ODDSE五步教学法在视觉传达设计专业建设中进行运用,以促进教学模... 随着社会对视觉传达设计人才的需求日益增长,各大院校都在不断地调整学科建设、优化人才培养方案,不断地提高人才培养质量,以适应社会对视觉传达设计专业的需求。如何将ODDSE五步教学法在视觉传达设计专业建设中进行运用,以促进教学模式和方法的革新,使教学效果最大化,从而培养出更多优秀的视觉传达设计人才,成为了各大院校亟待解决的问题。随着数字化时代的到来,如何将传统教学模式与新技术手段结合起来,从而更好地实现理论与实践相结合,是各大院校亟待解决的问题。本文从五步教学法出发,以ODDSE五步教学法为指导思想,探讨了视觉传达设计专业建设的路径。 展开更多
关键词 oddsE五步教学法 视觉传达设计 专业 路径
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Advantage of log odds of positive lymph nodes in prognostic evaluation of patients with early-onset colon cancer 被引量:1
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作者 Heng-Bo Xia Chen Chen +2 位作者 Zhi-Xing Jia Liang Li A-Man Xu 《World Journal of Gastrointestinal Surgery》 SCIE 2023年第11期2430-2444,共15页
BACKGROUND Colon cancer(CC)is one of the most common cancers of the digestive tract,the third most common cancer worldwide,and the second most common cause of cancer-related deaths.Previous studies have demonstrated a... BACKGROUND Colon cancer(CC)is one of the most common cancers of the digestive tract,the third most common cancer worldwide,and the second most common cause of cancer-related deaths.Previous studies have demonstrated a higher risk of lymph node metastasis(LNM)in young patients with CC.It might be reasonable to treat patients with early-onset locally advanced CC with extended lymph node dissection.However,few studies have focused on early-onset CC(ECC)patients with LNM.At present,the methods of predicting and evaluating the prognosis of ECC patients with LNM are controversial.From the data of patients with CC obtained from the Surveillance,Epidemiology,and End Results(SEER)database,data of young patients with ECC(≤50 years old)was screened.Patients with unknown data were excluded from the study,while the remaining patients were included.The patients were randomly divided into a training group(train)and a testing group(test)in the ratio of 7:3,while building the model.The model was constructed by the training group and verified by the testing group.Using multiple Cox regression models to compare the prediction efficiency of LNM indicators,nomograms were built based on the best model selected for overall survival(OS)and cause-specific survival(CSS).In the two groups,the performance of the nomogram was evaluated by constructing a calibration plot,time-dependent area under the curve(AUC),and decision curve analysis.Finally,the patients were grouped based on the risk score predicted by the prognosis model,and the survival curve was constructed after comparing the survival status of the high and low-risk groups.RESULTS Records of 26922 ECC patients were screened from the SEER database.N classification,positive lymph nodes(PLN),lymph node ratio(LNR)and log odds of PLN(LODDS)were considered to be independent predictors of OS and CSS.In addition,independent risk factors for OS included gender,race,marital status,primary site,histology,grade,T,and M classification,while the independent prognostic factors for CSS included race,marital status,primary site,grade,T,and M classification.The prediction model including LODDS is composed of minimal Akaike information criterion,maximal concordance indexes,and AUCs.Factors including gender,race,marital status,primary site,histology,grade,T,M classification,and LODDS were integrated into the OS nomogram,while race,marital status,primary site,grade,T,M classification,and LODDS were included into the CSS nomogram.The nomogram representing both cohorts had been successfully verified in terms of prediction accuracy and clinical practicability.CONCLUSION LODDS is superior to N-stage,PLN,and LNR of ECC.The nomogram containing LODDS might be helpful in tumor evaluation and clinical decision-making,since it provides an appropriate prediction of ECC. 展开更多
关键词 Early-onset colon cancer Log odds of positive lymph nodes Lymph node metastasis NOMOGRAM Prognosis Surveillance Epidemiology and End Results
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odds ratio在医学动物实验中的应用
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作者 迟琼 邹泽红 +1 位作者 傅意玲 陶爱林 《中国药理学通报》 CAS CSCD 北大核心 2010年第3期408-410,共3页
目的分析odds ratio在医学动物实验中的应用现状。方法以医学动物实验中常用动物模型及优势比或odds ra-tio为检索式进行搜索,分别对比分析中外数据库中7种动物模型实验中应用odds ratio的状况。同时,给出范例,说明OR值的计算方法及不... 目的分析odds ratio在医学动物实验中的应用现状。方法以医学动物实验中常用动物模型及优势比或odds ra-tio为检索式进行搜索,分别对比分析中外数据库中7种动物模型实验中应用odds ratio的状况。同时,给出范例,说明OR值的计算方法及不同结果的实际意义。结果动物模型实验中使用OR值作为统计指标的寥寥无几。结论OR值的重要性在国内没有得到足够的关注。 展开更多
关键词 数据库 动物模型 优势比 odds RATIO 关联强度 检索式
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ODDSE五步教学法在视觉传达设计课程中的理论与实践研究 被引量:1
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作者 左文 《美术教育研究》 2022年第5期160-161,共2页
随着计算机技术应用的日益普遍,视觉传达设计专业也发生了巨大的改变。视觉传达设计课程最初的教学模式主要基于传统的工艺美术内容,与市场不断变化的需求衔接不够密切,但随着视觉传达设计的演变,该课程教学逐渐融合了国际和国内市场对... 随着计算机技术应用的日益普遍,视觉传达设计专业也发生了巨大的改变。视觉传达设计课程最初的教学模式主要基于传统的工艺美术内容,与市场不断变化的需求衔接不够密切,但随着视觉传达设计的演变,该课程教学逐渐融合了国际和国内市场对专业的应用需求。所以,视觉传达设计课程教学改革是未来的必然趋势。该文作者剖析视觉传达设计课程教学存在的问题,在教学过程中结合ODDSE五步教学法,以形成更为高效的设计应用型人才培育理论与实践模式。 展开更多
关键词 视觉传达设计 oddsE五步教学法 理论实践
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基于指数分布的比例odds模型次序统计量的随机性质
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作者 张艺馨 王丙参 《德州学院学报》 2017年第4期7-9,21,共4页
给出几种常见序关系的定义,在比例odds模型的框架下,当分布函数替换为指数分布时,对其次序统计量作了随机比较.
关键词 随机序 比例odds模型 次序统计量
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基于比例odds模型最小次序统计量的随机比较
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作者 张艺馨 《天水师范学院学报》 2016年第2期16-18,共3页
在比例odds模型的框架下,对它的最小次序统计量作了随机比较,包括似然比序,失效率序和随机序.
关键词 随机序 反失效率序 似然比序 比例odds模型
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Optimum design of equivalent accelerated life testing plans based on proportional hazards-proportional odds model 被引量:3
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作者 Tingting Huang Tongmin Jiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第5期871-878,共8页
The optimum design of equivalent accelerated life testing plan based on proportional hazards-proportional odds model using D-optimality is presented. The defined equivalent test plan is the test plan that has the same... The optimum design of equivalent accelerated life testing plan based on proportional hazards-proportional odds model using D-optimality is presented. The defined equivalent test plan is the test plan that has the same value of the determinant of Fisher information matrix. The equivalent test plan of step stress accelerated life testing (SSALT) to a baseline optimum constant stress accelerated life testing (CSALT) plan is obtained by adjusting the censoring time of SSALT and solving the optimization problem for each case to achieve the same value of the determinant of Fisher information matrix as in the baseline optimum CSALT plan. Numer- ical examples are given finally which demonstrate the equivalent SSALT plan to the baseline optimum CSALT plan reduces almost half of the test time while achieving approximately the same estimation errors of model parameters. 展开更多
关键词 equivalent test plan proportional hazards-proportional odds (PH-PO) model D-OPTIMALITY constant stress step stress accelerated life testing (ALT).
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Development and validation of prognostic nomogram based on log odds of positive lymph nodes for patients with gastric signet ring cell carcinoma 被引量:3
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作者 Zijie Xu Jing Jing Guiliang Ma 《Chinese Journal of Cancer Research》 SCIE CAS CSCD 2020年第6期778-793,共16页
Objective: Our aims were to establish novel nomogram models, which directly targeted patients with signet ring cell carcinoma(SRC), for individualized prediction of overall survival(OS) rate and cancer-specific surviv... Objective: Our aims were to establish novel nomogram models, which directly targeted patients with signet ring cell carcinoma(SRC), for individualized prediction of overall survival(OS) rate and cancer-specific survival(CSS).Methods: We selected 1,365 SRC patients diagnosed from 2010 to 2015 from Surveillance, Epidemiology and End Results(SEER) database, and then randomly partitioned them into a training cohort and a validation cohort.Independent predicted indicators, which were identified by using univariate testing and multivariate analyses, were used to construct our prognostic nomogram models. Three methods, Harrell concordance index(C-index), receiver operating characteristics(ROC) curve and calibration curve, were used to assess the ability of discrimination and predictive accuracy. Integrated discrimination improvement(IDI), net reclassification improvement(NRI) and decision curve analysis(DCA) were used to assess clinical utility of our nomogram models.Results: Six independent predicted indicators, age, race, log odds of positive lymph nodes(LODDS), T stage, M stage and tumor size, were associated with OS rate. Nevertheless, only five independent predicted indicators were associated with CSS except race. The developed nomograms based on those independent predicted factors showed reliable discrimination. C-index of our nomogram for OS and CSS was 0.760 and 0.763, which were higher than American Joint Committee on Cancer(AJCC) 8 th edition tumor-node-metastasis(TNM) staging system(0.734 and 0.741, respectively). C-index of validation cohort for OS was 0.757 and for CSS was 0.773. The calibration curves also performed good consistency. IDI, NRI and DCA showed the nomograms for both OS and CSS had a comparable clinical utility than the TNM staging system.Conclusions: The novel nomogram models based on LODDS provided satisfying predictive ability of SRC both in OS and CSS than AJCC 8 th edition TNM staging system alone. 展开更多
关键词 Log odds of positive lymph nodes NOMOGRAMS PROGNOSIS signet ring cell
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Accelerated proportional degradation hazards-odds model in accelerated degradation test 被引量:1
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作者 Tingting Huang Zhizhong Li 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第2期397-406,共10页
An accelerated proportional degradation hazards-odds model is proposed. It is a non-parametric model and thus has path- free and distribution-free properties, avoiding the errors caused by faulty assumptions of degrad... An accelerated proportional degradation hazards-odds model is proposed. It is a non-parametric model and thus has path- free and distribution-free properties, avoiding the errors caused by faulty assumptions of degradation paths or distribution of degra- dation measurements. It is established based on a link function which combines the degradation cumulative hazard rate function and the degradation odds function through a transformation pa- rameter, and this makes the accelerated proportional degradation hazards model and the accelerated proportional degradation odds model special cases of it. Hypothesis tests are discussed, and the proposed model is applicable when some model assumptions are satisfied. This model is utilized to estimate the reliability of minia- ture bulbs under low stress levels based on the degradation data obtained under high stress levels to validate the effectiveness of this model. 展开更多
关键词 accelerated proportional degradation hazards(APDH) accelerated proportional degradation odds(APDO) link function NON-PARAMETRIC
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Log odds of positive lymph nodes is a better prognostic factor for oesophageal signet ring cell carcinoma than N stage 被引量:1
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作者 Feng Wang Shu-Geng Gao +10 位作者 Qi Xue Feng-Wei Tan Yu-Shun Gao You-Sheng Mao Da-Li Wang Jun Zhao Yin Li Xiang-Yang Yu Hong Cheng Chen-Guang Zhao Ju-Wei Mu 《World Journal of Clinical Cases》 SCIE 2021年第1期24-35,共12页
BACKGROUND Signet ring cell carcinoma is a rare type of oesophageal cancer,and we hypothesized that log odds of positive lymph nodes(LODDS)is a better prognostic factor for oesophageal signet ring cell carcinoma.AIM T... BACKGROUND Signet ring cell carcinoma is a rare type of oesophageal cancer,and we hypothesized that log odds of positive lymph nodes(LODDS)is a better prognostic factor for oesophageal signet ring cell carcinoma.AIM To explore a novel prognostic factor for oesophageal signet ring cell carcinoma by comparing two lymph node-related prognostic factors,log odds of positive LODDS and N stage.METHODS A total of 259 cases of oesophageal signet ring cell carcinoma after oesophagectomy were obtained from the Surveillance,Epidemiology,and End Results database between 2006 and 2016.The prognostic value of LODDS and N stage for oesophageal signet ring cell carcinoma was evaluated by univariate and multivariate analyses.The Akaike information criterion and Harrell’s C-index were used to assess the value of two prediction models based on lymph nodes.External validation was performed to further confirm the conclusion.RESULTS The 5-year cancer-specific survival(CSS)and 5-year overall survival(OS)rates of all the cases were 41.3%and 27.0%,respectively.The Kaplan-Meier method showed that LODDS had a higher score of log rank chi-squared(OS:46.162,CSS:41.178)than N stage(OS:36.215,CSS:31.583).Univariate analyses showed that insurance,race,T stage,M stage,TNM stage,radiation therapy,N stage,and LODDS were potential prognostic factors for OS(P<0.1).The multivariate Cox regression model showed that LODDS was an significant independent prognostic factor for oesophageal signet ring carcinoma patients after surgical resection(P<0.05),while N stage was not considered to be a significant prognostic factor(P=0.122).Model 2(LODDS)had a higher degree of discrimination and fit than Model 1(N stage)(LODDS vs N stage,Harell’s C-index 0.673 vs 0.656,P<0.001;Akaike information criterion 1688.824 vs 1697.519,P<0.001).The results of external validation were consistent with those in the study cohort.CONCLUSION LODDS is a superior prognostic factor to N stage for patients with oesophageal signet ring cell carcinoma after oesophagectomy. 展开更多
关键词 Oesophageal neoplasms Signet ring cell Lymph nodes PROGNOSIS Log odds of positive lymph nodes TNM stage
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odds比模型的简单介绍
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作者 刘海燕 《数理统计与管理》 CSSCI 北大核心 1995年第6期40-46,共7页
odds比模型因其简单明了而在实践中很有用,本文利用医学上的例子着重说明了其应用。
关键词 odds比模型 参数估计 解释因子
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Collapsibility of odds ratios for a continuous outcome variable
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作者 孟晓 王学丽 《Journal of Chongqing University》 CAS 2013年第2期81-84,共4页
The sign of an association measure between two varibles may be strongly affected and even be reversed after marginalization over a backgruoud variable, which is the well-known Yule-Simpson paradox.Odds ratios are stro... The sign of an association measure between two varibles may be strongly affected and even be reversed after marginalization over a backgruoud variable, which is the well-known Yule-Simpson paradox.Odds ratios are strongly collapsible over a background variable if they remain unchanged no matter how the background variable is partially pooled.In this paper, we firstly give some definitions and notations about odds ratios between a dichotomous explanatory variable and a continuous response variable.Then, we present conditions for simple collapsibility of odds ratios.Further, necessary and sufficient conditions are given for strong collapsibility of odds ratios for continuous outcome variable. 展开更多
关键词 COLLAPSIBILITY logistic distribution odds ratios Yule-Simpson paradox
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Odds Ratio &Relative Risk Ratio of Buoy Conditions for Storms in the Atlantic Basin
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作者 Joy Marie D’Andrea Rebecca Dyanne Wooten Wendy Amanda Pogoda 《Open Journal of Statistics》 2018年第5期747-759,共13页
The purpose of this paper is to bring awareness to the general public that certain conditions that occur at a buoy in the Atlantic Basin, such as wind located at the buoy, pressure located at a buoy, water temperature... The purpose of this paper is to bring awareness to the general public that certain conditions that occur at a buoy in the Atlantic Basin, such as wind located at the buoy, pressure located at a buoy, water temperature located at a buoy, atmospheric pressure located at a buoy, may be useful in helping predict when a hurricane could possibly hit the state of Florida in the future. One of the goals of this paper is to bring new statistical methods to investigate and analyze data, which will create better predicable measures in determining when a hurricane will possibly hit the state of Florida. In this paper, the topics of binary logistic regression and multinomial regression modeling are discussed in reference to their outcomes of both the odds ratio and relative risk ratio respectively. The coefficients from these models will show which prospective buoy conditions are possibly more responsible for indication of a storm being present in the Atlantic Basin. In this paper, the data that was used and compiled into a larger data set came from two different sources. First, the hurricane data for the years 1992-2013 came from Unisys Weather site (Atlantic Basin Hurricanes data) and the buoy data has been available from the National Buoy Center. In this paper, the variables of interest are: storm present, buoy wind speed, buoy pressure, buoy atmospheric temperature, buoy water temperature and buoy wind direction. The buoy conditions are the buoy wind, the buoy wind direction, the buoy pressure, buoy atmospheric temperature and the buoy water temperature. 展开更多
关键词 Hurricanes PARAMETRIC Analysis STATISTICS Probability DISTRIBUTIONS odds Ratio
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Test for Homogeneity of Odds Ratios Using <i>U</i>-Statistics
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作者 Qi Wei Dejian Lai 《Open Journal of Statistics》 2019年第3期347-360,共14页
There are a few statistics testing the homogeneity of odds ratios across strata. Asymptotic statistics lose their power in the “sparse-data” setting. Both asymptotic statistics and exact tests have low power when th... There are a few statistics testing the homogeneity of odds ratios across strata. Asymptotic statistics lose their power in the “sparse-data” setting. Both asymptotic statistics and exact tests have low power when the sample sizes are small. We created a set of U statistics and compared them with some existing statistics in testing homogeneity of OR at different data settings. We evaluated their performance in terms of the empirical size and power via Monto Carlo simulations. Our results showed that two of the U-statistics under our study had higher power for testing homogeneity of odds ratios for 2 by 2 contingency tables. The application of the tests was illustrated in two real examples. 展开更多
关键词 HOMOGENEITY TEST odds Ratio U-STATISTICS
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A Cumulative Proportional Odds Model to Analyze the Influence of Mass Media on Teenagers in Messina
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作者 Zirilli A Alibrandi A +1 位作者 Giacalone M. Ucchino R. B. 《Journal of Mathematics and System Science》 2013年第11期550-555,共6页
The media are constantly evolving at a breakneck pace and mainly young people, with their flexibility of mind and their continuous curiosity, can better understand the characteristics and potential of such advances. T... The media are constantly evolving at a breakneck pace and mainly young people, with their flexibility of mind and their continuous curiosity, can better understand the characteristics and potential of such advances. The aim of this paper is to analyze the relationship between teenagers and media, in order to try to better understand the habits and to conduct analysis on social interactions with young people. In order to evaluate the influence of mass media in the life of the young people, the Statisticians of Messina University decided to perform a statistical survey to evaluate the influence of the media in the life of Messina's teenagers. A questionnaire entitled "Perceptions of the influence exerted by mass media" was administered in some schools. From the methodological point of view, three statistical models were estimated in order to formalize the dependence of the mass media influence by the kind of TV programs, the time spent on TV viewing and computer use and the kind of most used social networks. Since the mass media influence is an ordinal variable expressed by four ordered categories (1 = nothing; 2 = low; 3 = average; 4 = high) we used the Cumulative Proportional Odds Model to formalize the dependence by the potential predictors. 展开更多
关键词 Influence of mass media use of social networks teenagers' choices cumulative proportional odds model.
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Why Were the Dalai Lama and The Panchen Erdeni at odds in History?
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作者 PENGRAB RENQEN NAMGYAI 《China's Tibet》 2000年第1期43-44,共2页
关键词 Why Were the Dalai Lama and The Panchen Erdeni at odds in History In
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Partial proportional odds model for analyzing pedestrian crashes,threshold heterogeneity by scale and proportional odds factor 被引量:1
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作者 Mahdi Rezapour Khaled Ksaibati 《Journal of Traffic and Transportation Engineering(English Edition)》 EI CSCD 2022年第6期969-977,共9页
Despite low traffic in Wyoming,pedestrian crash severity accounts for a high number of fatalities in the state.Thus this study was conducted to highlights factors contributing to those crashes.The results highlighted ... Despite low traffic in Wyoming,pedestrian crash severity accounts for a high number of fatalities in the state.Thus this study was conducted to highlights factors contributing to those crashes.The results highlighted that drivers under influence,type of vehicle,location of crashes,estimated speed of vehicles,driving over the recommended speed are some of factors contributing to the severity of crashes.In this study,we used proportional odds model which assumes that the impact of each attribute is consistent or proportional across various threshold values.However,it has been argued that this assumption might be unrealistic,especially at the presence of extreme values.Thus,the assumption was relaxed in this study by shifting the thresholds based on some explanatory attributes,or proportional odds effects.In addition,we accounted for the spread rate,or scale,of the model’s latent distribution of pedestrian crashes.The results highlighted that the partial proportional odds model through proportional odds factor and scale effects result in a significant improvement in model fit compared with the standard proportional odds model.Comparisons were also made across standard normal,simple partial ordinal model,and partial ordinal accounting for scale heterogeneity.In addition,various potential threshold structures such as symmetric and flexible were considered,but similar goodness of fits were observed across all those models.Extensive discussion has been made regarding the formulation of the implemented methodology,and its implications. 展开更多
关键词 Partial proportional odds model Pedestrian crashes Scale heterogeneity Proportional odds factor Vulnerable road users Drivers’lack of attention
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Different lymph node staging systems for predicting the prognosis of colorectal neuroendocrine neoplasms
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作者 Yuan-Yi Zhang Yue-Wei Cai Xia Zhang 《World Journal of Gastrointestinal Oncology》 SCIE 2024年第5期1745-1755,共11页
BACKGROUND Colorectal neuroendocrine neoplasms(NENs)are a rare malignancy that primarily arises from the diffuse distribution of neuroendocrine cells in the colon and rectum.Previous studies have pointed out that the ... BACKGROUND Colorectal neuroendocrine neoplasms(NENs)are a rare malignancy that primarily arises from the diffuse distribution of neuroendocrine cells in the colon and rectum.Previous studies have pointed out that the status of lymph node may be used to predict the prognosis.AIM To investigate the predictive values of lymph node ratio(LNR),positive lymph node(PLN),and log odds of PLNs(LODDS)staging systems on the prognosis of colorectal NENs treated surgically,and compare their predictive values.METHODS This cohort study included 895 patients with colorectal NENs treated surgically from the Surveillance,Epidemiology,and End Results database.The endpoint was mortality of patients with colorectal NENs treated surgically.X-tile software was utilized to identify most suitable thresholds for categorizing the LNR,PLN,and LODDS.Participants were selected in a random manner to form training and testing sets.The prognosis of surgically treating colorectal NENs was examined using multivariate cox analysis to assess the associations of LNR,PLN,and LODDS with the prognosis of colorectal NENs.C-index was used for assessing the predictive effectiveness.We conducted a subgroup analysis to explore the different lymph node staging systems’predictive values.RESULTS After adjusting all confounding factors,PLN,LNR and LODDS staging systems were linked with mortality in patients with colorectal NENs treated surgically(P<0.05).We found that LODDS staging had a higher prognostic value for patients with colorectal NENs treated surgically than PLN and LNR staging systems.Similar results were obtained in the different G staging subgroup analyses.Furthermore,the area under the receiver operating characteristic curve values for LODDS staging system remained consistently higher than those of PLN or LNR,even at the 1-,2-,3-,4-,5-and 6-year follow-up periods.CONCLUSION LNR,PLN,and LODDS were found to significantly predict the prognosis of patients with colorectal NENs treated surgically. 展开更多
关键词 Positive lymph node Lymph node ratio Log odds of positive lymph nodes PROGNOSIS Colorectal neuroendocrine neoplasms
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Convergence Phenomenon with Fourier Series of tg(x2)and Alike
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作者 Alfred Wünsche 《Advances in Pure Mathematics》 2024年第7期556-595,共40页
The Fourier series of the 2π-periodic functions tg(x2)and 1sin(x)and some of their relatives (first of their integrals) are investigated and illustrated with respect to their convergence. These functions are Generali... The Fourier series of the 2π-periodic functions tg(x2)and 1sin(x)and some of their relatives (first of their integrals) are investigated and illustrated with respect to their convergence. These functions are Generalized functions and the convergence is weak convergence in the sense of the convergence of continuous linear functionals defining them. The figures show that the approximations of the Fourier series possess oscillations around the function which they represent in a broad band embedding them. This is some analogue to the Gibbs phenomenon. A modification of Fourier series by expansion in powers cosn(x)for the symmetric part of functions and sin(x)cosn−1(x)for the antisymmetric part (analogous to Taylor series) is discussed and illustrated by examples. The Fourier series and their convergence behavior are illustrated also for some 2π-periodic delta-function-like sequences connected with the Poisson theorem showing non-vanishing oscillations around the singularities similar to the Gibbs phenomenon in the neighborhood of discontinuities of functions. . 展开更多
关键词 Gibbs Phenomenon Generalized Functions Weak Convergence Chebyshev Polynomials of First and Second Kind Even and Odd Generating Functions for Chebyshev Polynomials POLYLOGARITHMS Completeness Relations
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Against All Fiscal Odds
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作者 LAN XINZHEN 《Beijing Review》 2009年第14期26-27,共2页
The government continues its proactive investment policy despite the country’s declining fiscal
关键词 Against All Fiscal odds GDP
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