This article attempts to successfully fill Kempe proof loophole, namely 4-staining of “staining dilemma configuration”. Our method is as follows: 1) Discovered and proved the existence theorem of the quadrilateral w...This article attempts to successfully fill Kempe proof loophole, namely 4-staining of “staining dilemma configuration”. Our method is as follows: 1) Discovered and proved the existence theorem of the quadrilateral with four-color vertices and its properties theorems, namely theorems 1 and 2. From this, the non-10-fold symmetry transformation rule of the geometric structure of Errera configuration is generated, and using this rule, according to whether the “staining dilemma configuration” is 10-fold symmetry, they are divided into two categories;2) Using this rule, combining the different research results of several mathematicians on Errera graphs, and using four different classifications of propositional truth and falsehood, a new Theorem 3 is established;3) Using Theorem 3, the theoretical proof that the non-10-fold symmetric “ staining dilemma configuration” can be 4-staining;4) Through 4-staining of the four configurations of Errera, Obtained the Z-staining program (also called Theorem 4), and using this program and mathematical induction, gave the 10-fold symmetric “staining dilemma configuration” 4-staining proof. Completed the complete and concise manual proof of the four-color conjecture.展开更多
Through discussing the color matching technology and its application in printing industry the conventional approaches commonly used in color matching, and the difficulties in color matching, a nonlinear color matching...Through discussing the color matching technology and its application in printing industry the conventional approaches commonly used in color matching, and the difficulties in color matching, a nonlinear color matching model based on two step learning is established by finding a linear model by learning pure color data first and then a nonlinear modification model by learning mixed color data. Nonlinear multiple regression is used to fit the parameters of the modification model. Nonlinear modification function is discovered by BACON system by learning mixture data. Experiment results indicate that nonlinear color conversion by two step learning can further improve the accuracy when it is used for straightforward conversion from RGB to CMYK. An improved separation model based on GCR concept is proposed to solve the problem of gray balance and it can be used for three to four color conversion as well. The method proposed has better learning ability and faster printing speed than other historical approaches when it is applied to four color ink jet printing.展开更多
Four-color theorem has only been proved by computer since it was proposed, many people have proposed their mathematical proof of four-color theorem, but their proof is disputed then, what lead to a situation that the ...Four-color theorem has only been proved by computer since it was proposed, many people have proposed their mathematical proof of four-color theorem, but their proof is disputed then, what lead to a situation that the mathematical proof of four-color theorem has been lacking to this day. In this article, we have summarized some laws based on previous researches, and proposed a mathematical proof of four-color theorem by using these laws trough a recursive method.展开更多
目的探讨孕中晚期四维彩色多普勒超声对胎儿单纯室间隔缺损的诊断及新生儿预后的影响。方法选取2018年1月至2021年12月上饶市人民医院接受产检的孕中晚期孕妇2500例为研究对象,采用四维彩色多普勒超声进行诊断,分析其对胎儿单纯室间隔...目的探讨孕中晚期四维彩色多普勒超声对胎儿单纯室间隔缺损的诊断及新生儿预后的影响。方法选取2018年1月至2021年12月上饶市人民医院接受产检的孕中晚期孕妇2500例为研究对象,采用四维彩色多普勒超声进行诊断,分析其对胎儿单纯室间隔缺损诊断及预后评估的效能。结果2500例产妇,产前经四维彩色多普勒超声确诊胎儿室间隔缺损50例,检出率为2.00%,产后确诊新生儿室间隔缺损53例,检出率为2.12%,产前漏诊3例,漏诊率为0.12%。经四维彩色多普勒超声确诊室间隔缺损的50例胎儿中,膜周型32例,肌部型18例;缺损内径<3 mm 35例,3~5 mm 10例,>5 mm 5例。2500例产妇中,孕22~26周,确诊胎儿室间隔缺损36例;孕28~32周,确诊胎儿室间隔缺损50例;产后1周,确诊新生儿室间隔缺损53例。32例膜周型胎儿,闭合率为65.63%,18例肌部型,闭合率为94.44%;两种分型总闭合率比较差异无统计学意义;35例室间隔缺损内径<3 mm胎儿,闭合率为100.00%,10例室间隔缺损内径3~5 mm胎儿,闭合率为20.00%,5例室间隔缺损内径>5 mm胎儿,闭合率为0.00%;不同缺损内径胎儿总闭合率比较差异有统计学意义(P<0.05),缺损内径<3 mm、3~5 mm胎儿闭合率均高于>5 mm胎儿,差异有统计学意义(P<0.05)(P<0.05)。结论孕中晚期四维彩色多普勒超声对胎儿单纯室间隔缺损具有诊断价值,能及时监测闭合情况,可用于孕中晚期胎儿单纯室间隔缺损的鉴别诊断及预后评估。展开更多
文摘This article attempts to successfully fill Kempe proof loophole, namely 4-staining of “staining dilemma configuration”. Our method is as follows: 1) Discovered and proved the existence theorem of the quadrilateral with four-color vertices and its properties theorems, namely theorems 1 and 2. From this, the non-10-fold symmetry transformation rule of the geometric structure of Errera configuration is generated, and using this rule, according to whether the “staining dilemma configuration” is 10-fold symmetry, they are divided into two categories;2) Using this rule, combining the different research results of several mathematicians on Errera graphs, and using four different classifications of propositional truth and falsehood, a new Theorem 3 is established;3) Using Theorem 3, the theoretical proof that the non-10-fold symmetric “ staining dilemma configuration” can be 4-staining;4) Through 4-staining of the four configurations of Errera, Obtained the Z-staining program (also called Theorem 4), and using this program and mathematical induction, gave the 10-fold symmetric “staining dilemma configuration” 4-staining proof. Completed the complete and concise manual proof of the four-color conjecture.
文摘Through discussing the color matching technology and its application in printing industry the conventional approaches commonly used in color matching, and the difficulties in color matching, a nonlinear color matching model based on two step learning is established by finding a linear model by learning pure color data first and then a nonlinear modification model by learning mixed color data. Nonlinear multiple regression is used to fit the parameters of the modification model. Nonlinear modification function is discovered by BACON system by learning mixture data. Experiment results indicate that nonlinear color conversion by two step learning can further improve the accuracy when it is used for straightforward conversion from RGB to CMYK. An improved separation model based on GCR concept is proposed to solve the problem of gray balance and it can be used for three to four color conversion as well. The method proposed has better learning ability and faster printing speed than other historical approaches when it is applied to four color ink jet printing.
文摘Four-color theorem has only been proved by computer since it was proposed, many people have proposed their mathematical proof of four-color theorem, but their proof is disputed then, what lead to a situation that the mathematical proof of four-color theorem has been lacking to this day. In this article, we have summarized some laws based on previous researches, and proposed a mathematical proof of four-color theorem by using these laws trough a recursive method.
文摘目的探讨孕中晚期四维彩色多普勒超声对胎儿单纯室间隔缺损的诊断及新生儿预后的影响。方法选取2018年1月至2021年12月上饶市人民医院接受产检的孕中晚期孕妇2500例为研究对象,采用四维彩色多普勒超声进行诊断,分析其对胎儿单纯室间隔缺损诊断及预后评估的效能。结果2500例产妇,产前经四维彩色多普勒超声确诊胎儿室间隔缺损50例,检出率为2.00%,产后确诊新生儿室间隔缺损53例,检出率为2.12%,产前漏诊3例,漏诊率为0.12%。经四维彩色多普勒超声确诊室间隔缺损的50例胎儿中,膜周型32例,肌部型18例;缺损内径<3 mm 35例,3~5 mm 10例,>5 mm 5例。2500例产妇中,孕22~26周,确诊胎儿室间隔缺损36例;孕28~32周,确诊胎儿室间隔缺损50例;产后1周,确诊新生儿室间隔缺损53例。32例膜周型胎儿,闭合率为65.63%,18例肌部型,闭合率为94.44%;两种分型总闭合率比较差异无统计学意义;35例室间隔缺损内径<3 mm胎儿,闭合率为100.00%,10例室间隔缺损内径3~5 mm胎儿,闭合率为20.00%,5例室间隔缺损内径>5 mm胎儿,闭合率为0.00%;不同缺损内径胎儿总闭合率比较差异有统计学意义(P<0.05),缺损内径<3 mm、3~5 mm胎儿闭合率均高于>5 mm胎儿,差异有统计学意义(P<0.05)(P<0.05)。结论孕中晚期四维彩色多普勒超声对胎儿单纯室间隔缺损具有诊断价值,能及时监测闭合情况,可用于孕中晚期胎儿单纯室间隔缺损的鉴别诊断及预后评估。
