This scientific paper is a comparative analysis of two mathematical conjectures. The newly proposed -3(-n) - 1 Remer conjecture and how it is related to and a proof of the more well known 3n + 1 Collatz conjecture. An...This scientific paper is a comparative analysis of two mathematical conjectures. The newly proposed -3(-n) - 1 Remer conjecture and how it is related to and a proof of the more well known 3n + 1 Collatz conjecture. An overview of both conjectures and their respective iterative processes will be presented. Showcasing their unique properties and behavior to each other. Through a detailed comparison, we highlight the similarities and differences between these two conjectures and discuss their significance in the field of mathematics. And how they prove each other to be true.展开更多
Environmental health incidents have occurred frequently in recent years;in China,however,litigation has not been effective in protecting the rights and interests of victims due to their heavy burden of proof.In order ...Environmental health incidents have occurred frequently in recent years;in China,however,litigation has not been effective in protecting the rights and interests of victims due to their heavy burden of proof.In order to mitigate the burden of proof for victims,the environmental judicature in China introduced the rule of inversion of burden of proof;this means that the victim only assumes the preliminary burden of proof,but in practice it has not been sufficient.Victims in environmental health litigation still face many difficulties in proving causality.Based on the statistical analysis of judicial big data,this paper demonstrates three dilemmas faced by victims.First,the preliminary burden of proof of causality has a high standard.Second,the victim's ability to produce evidence is low.Third,the casual relationship between pollution behaviors and health damage is difficult to identify.When examining the possible legal instruments,there are three aspects to the causes of these dilemmas:theory,judicial practice,and society.The theoretical aspect manifests as the differences between the rule of inversion of burden of proof and the presumption of causality;the practical aspect manifests as the lack of an identification system for personal injury;and the social aspect manifests as the victim's lack of economic,scientific,technological,and information resources,as well as the absence of assistance from government sectors and social organizations.Combining Chinese law with judicial practice,this paper proposes a solution to the dilemma of victims needing to prove causality in environmental health litigation.On the basis of clarifying the theoretical differences between the inversion of burden of proof and the presumption of causality,China should adhere to the rule of inversion of burden of proof,establish an identification system for personal injuries caused by environmental pollution,and use methods such as epidemiological causality,indirect counterevidence,and prima facie bewies.Furthermore,the full functions of the government and social organizations must be brought into play.This will not only help victims demonstrate causality,it can also help victims achieve equitable relief.展开更多
Strasbourg’s application of proportionality test has some unique features.Due to the Court inherent subsidiary role,it hardly transplants the formulas and criteria adopted by the German Constitutional Court or Court ...Strasbourg’s application of proportionality test has some unique features.Due to the Court inherent subsidiary role,it hardly transplants the formulas and criteria adopted by the German Constitutional Court or Court of Justice European Union(CJEU) in the complete sense.Consequently,the Strasbourg application of the proportionality has been depicted as a "mysterious house" for the reason that it lacks of certainty.Therefore,some scholars often worry the application of the proportionality test will threaten the predictability and the Strasbourg rule of law.Generally,the proportionality test has two internal functions for the Strasbourg judges:(1) strike fair balance between/among the competing interests;(2) testing on the reasonableness and appropriateness between the measures employed and aim pursued.In the first category,the primary task of the Court is to protect the scope of "essence" of the Convention rights from the interference of collective goods relying on the interest-based rights theory.Beyond this scope,the Court would have to balance the interests explicitly incorporated into the Convention rights as well as the external collective goods claimed by the state authorities.In some sensitive judgments,the Strasbourg Court tends to impose the onerous responsibility of "burden of proof" to the State authorities,or strategically defers to the domestic decisions unless they will be found "manifestly unreasonable".Secondly,the Court must take a scrutiny towards the appropriateness between the means employed and ends pursued,and then it has to decide whether a less intrusive alternative existed or will possibly be found or not.Sometimes,the Court might impose state authorities an obligation looking for a new alternation.However,due to subsidiarity characteristic of the Strasbourg Court,the task of the assessments sometimes is complicated and time-consuming,so the Court are not capable of evaluations in all occasions.Finally,the Court could strike down the "chilling consequence" caused by some few of the legitimate measures which may highly potentially threaten the individual rights in the National legal order.展开更多
Rigorous debates have followed the formulation of a new law that changes the way Chinese courts handle medical disputes.The draft Tort Liability Law,which is being deliberated by the National People’s Congress(NPC),C...Rigorous debates have followed the formulation of a new law that changes the way Chinese courts handle medical disputes.The draft Tort Liability Law,which is being deliberated by the National People’s Congress(NPC),China’s top legislature,deals with when a person/organization can be sued展开更多
BACKGROUND Type 2 diabetes(T2D)is a metabolic disease of impaired glucose utilization and a major cause of cardiovascular disease(CVD).The pathogenesis of both diseases shares common risk factors and mechanisms,and bo...BACKGROUND Type 2 diabetes(T2D)is a metabolic disease of impaired glucose utilization and a major cause of cardiovascular disease(CVD).The pathogenesis of both diseases shares common risk factors and mechanisms,and both are significant contributors to global morbidity and mortality.Supplements of natural products for T2D mellitus(T2DM)and CVD can be seen as a potential preventive and effective therapeutic strategy.AIM To critically evaluate the therapeutic potential of natural products in T2D and coronary artery disease(CAD).METHODS By using specific keywords,we strategically searched the PubMed database.Randomized controlled trials(RCTs)were searched as the primary focus that examined the effect of natural products on glycemic control,oxidative stress,and antioxidant levels.We focused on outcomes such as low blood glucose levels,adjustment on markers of oxidative stress and antioxidants.After screening fulllength papers,we included 9 RCTs in our review that met our inclusion criteria.RESULTS In the literature search on the database,we found that various natural products like plant secondary metabolites play a diverse role in the management of CAD.American ginseng,sesame oil and cocoa flavanols proved effective in lowering blood glucose levels and controlling blood pressure,which are key factors in managing T2DM and CVD.In diabetic patients Melissa officinalis effectively reduce inflammation and shows diabetes prevention.Both fish oil and flaxseed oil reduced insulin levels and inflammatory markers,suggesting benefits for both conditions.The lipid profile and endothelial function were enhanced by Nigella sativa oil and Terminalia chebula,which is significant for the management of cardiovascular risk factors in T2DM.Additionally Bilberry extract also showed promise for improving glycemic control in patients with T2DM.CONCLUSION The high level of antioxidant,anti-inflammatory,and anti-angiogenic properties found in natural products makes them promising therapeutic options for the management of CAD,with the potential benefit of lowering the risk of CAD.展开更多
文摘This scientific paper is a comparative analysis of two mathematical conjectures. The newly proposed -3(-n) - 1 Remer conjecture and how it is related to and a proof of the more well known 3n + 1 Collatz conjecture. An overview of both conjectures and their respective iterative processes will be presented. Showcasing their unique properties and behavior to each other. Through a detailed comparison, we highlight the similarities and differences between these two conjectures and discuss their significance in the field of mathematics. And how they prove each other to be true.
文摘Environmental health incidents have occurred frequently in recent years;in China,however,litigation has not been effective in protecting the rights and interests of victims due to their heavy burden of proof.In order to mitigate the burden of proof for victims,the environmental judicature in China introduced the rule of inversion of burden of proof;this means that the victim only assumes the preliminary burden of proof,but in practice it has not been sufficient.Victims in environmental health litigation still face many difficulties in proving causality.Based on the statistical analysis of judicial big data,this paper demonstrates three dilemmas faced by victims.First,the preliminary burden of proof of causality has a high standard.Second,the victim's ability to produce evidence is low.Third,the casual relationship between pollution behaviors and health damage is difficult to identify.When examining the possible legal instruments,there are three aspects to the causes of these dilemmas:theory,judicial practice,and society.The theoretical aspect manifests as the differences between the rule of inversion of burden of proof and the presumption of causality;the practical aspect manifests as the lack of an identification system for personal injury;and the social aspect manifests as the victim's lack of economic,scientific,technological,and information resources,as well as the absence of assistance from government sectors and social organizations.Combining Chinese law with judicial practice,this paper proposes a solution to the dilemma of victims needing to prove causality in environmental health litigation.On the basis of clarifying the theoretical differences between the inversion of burden of proof and the presumption of causality,China should adhere to the rule of inversion of burden of proof,establish an identification system for personal injuries caused by environmental pollution,and use methods such as epidemiological causality,indirect counterevidence,and prima facie bewies.Furthermore,the full functions of the government and social organizations must be brought into play.This will not only help victims demonstrate causality,it can also help victims achieve equitable relief.
文摘Strasbourg’s application of proportionality test has some unique features.Due to the Court inherent subsidiary role,it hardly transplants the formulas and criteria adopted by the German Constitutional Court or Court of Justice European Union(CJEU) in the complete sense.Consequently,the Strasbourg application of the proportionality has been depicted as a "mysterious house" for the reason that it lacks of certainty.Therefore,some scholars often worry the application of the proportionality test will threaten the predictability and the Strasbourg rule of law.Generally,the proportionality test has two internal functions for the Strasbourg judges:(1) strike fair balance between/among the competing interests;(2) testing on the reasonableness and appropriateness between the measures employed and aim pursued.In the first category,the primary task of the Court is to protect the scope of "essence" of the Convention rights from the interference of collective goods relying on the interest-based rights theory.Beyond this scope,the Court would have to balance the interests explicitly incorporated into the Convention rights as well as the external collective goods claimed by the state authorities.In some sensitive judgments,the Strasbourg Court tends to impose the onerous responsibility of "burden of proof" to the State authorities,or strategically defers to the domestic decisions unless they will be found "manifestly unreasonable".Secondly,the Court must take a scrutiny towards the appropriateness between the means employed and ends pursued,and then it has to decide whether a less intrusive alternative existed or will possibly be found or not.Sometimes,the Court might impose state authorities an obligation looking for a new alternation.However,due to subsidiarity characteristic of the Strasbourg Court,the task of the assessments sometimes is complicated and time-consuming,so the Court are not capable of evaluations in all occasions.Finally,the Court could strike down the "chilling consequence" caused by some few of the legitimate measures which may highly potentially threaten the individual rights in the National legal order.
文摘Rigorous debates have followed the formulation of a new law that changes the way Chinese courts handle medical disputes.The draft Tort Liability Law,which is being deliberated by the National People’s Congress(NPC),China’s top legislature,deals with when a person/organization can be sued
文摘BACKGROUND Type 2 diabetes(T2D)is a metabolic disease of impaired glucose utilization and a major cause of cardiovascular disease(CVD).The pathogenesis of both diseases shares common risk factors and mechanisms,and both are significant contributors to global morbidity and mortality.Supplements of natural products for T2D mellitus(T2DM)and CVD can be seen as a potential preventive and effective therapeutic strategy.AIM To critically evaluate the therapeutic potential of natural products in T2D and coronary artery disease(CAD).METHODS By using specific keywords,we strategically searched the PubMed database.Randomized controlled trials(RCTs)were searched as the primary focus that examined the effect of natural products on glycemic control,oxidative stress,and antioxidant levels.We focused on outcomes such as low blood glucose levels,adjustment on markers of oxidative stress and antioxidants.After screening fulllength papers,we included 9 RCTs in our review that met our inclusion criteria.RESULTS In the literature search on the database,we found that various natural products like plant secondary metabolites play a diverse role in the management of CAD.American ginseng,sesame oil and cocoa flavanols proved effective in lowering blood glucose levels and controlling blood pressure,which are key factors in managing T2DM and CVD.In diabetic patients Melissa officinalis effectively reduce inflammation and shows diabetes prevention.Both fish oil and flaxseed oil reduced insulin levels and inflammatory markers,suggesting benefits for both conditions.The lipid profile and endothelial function were enhanced by Nigella sativa oil and Terminalia chebula,which is significant for the management of cardiovascular risk factors in T2DM.Additionally Bilberry extract also showed promise for improving glycemic control in patients with T2DM.CONCLUSION The high level of antioxidant,anti-inflammatory,and anti-angiogenic properties found in natural products makes them promising therapeutic options for the management of CAD,with the potential benefit of lowering the risk of CAD.
