Let p be a prime. For any finite p-group G, the deep transfers T H,G ' : H / H ' → G ' / G " from the maximal subgroups H of index (G:H) = p in G to the derived subgroup G ' are introduced as an ...Let p be a prime. For any finite p-group G, the deep transfers T H,G ' : H / H ' → G ' / G " from the maximal subgroups H of index (G:H) = p in G to the derived subgroup G ' are introduced as an innovative tool for identifying G uniquely by means of the family of kernels ùd(G) =(ker(T H,G ')) (G: H) = p. For all finite 3-groups G of coclass cc(G) = 1, the family ùd(G) is determined explicitly. The results are applied to the Galois groups G =Gal(F3 (∞)/ F) of the Hilbert 3-class towers of all real quadratic fields F = Q(√d) with fundamental discriminants d > 1, 3-class group Cl3(F) □ C3 × C3, and total 3-principalization in each of their four unramified cyclic cubic extensions E/F. A systematic statistical evaluation is given for the complete range 1 d 7, and a few exceptional cases are pointed out for 1 d 8.展开更多
Based on a general theory of descendant trees of finite p-groups and the virtual periodicity isomorphisms between the branches of a coclass subtree, the behavior of algebraic invariants of the tree vertices and their ...Based on a general theory of descendant trees of finite p-groups and the virtual periodicity isomorphisms between the branches of a coclass subtree, the behavior of algebraic invariants of the tree vertices and their automorphism groups under these isomorphisms is described with simple transformation laws. For the tree of finite 3-groups with elementary bicyclic commutator qu-otient, the information content of each coclass subtree with metabelian main-line is shown to be finite. As a striking novelty in this paper, evidence is provided of co-periodicity isomorphisms between coclass forests which reduce the information content of the entire metabelian skeleton and a significant part of non-metabelian vertices to a finite amount of data.展开更多
Let 0<γ<π be a fixed pythagorean angle. We study the abelian group Hr of primitive integral triangles (a,b,c) for which the angle opposite side c is γ. Addition in Hr is defined by adding the angles β opposi...Let 0<γ<π be a fixed pythagorean angle. We study the abelian group Hr of primitive integral triangles (a,b,c) for which the angle opposite side c is γ. Addition in Hr is defined by adding the angles β opposite side b and modding out by π-γ. The only Hr for which the structure is known is Hπ/2, which is free abelian. We prove that for generalγ, Hr has an element of order two iff 2(1- cosγ) is a rational square, and it has elements of order three iff the cubic (2cosγ)x3-3x2+1=0 has a rational solution 0<x<1. This shows that the set of values ofγ for which Hr has two-torsion is dense in [0, π], and similarly for three-torsion. We also show that there is at most one copy of either Z2 or Z3 in Hr. Finally, we give some examples of higher order torsion elements in Hr.展开更多
Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant ...Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant trees of finite p-groups.展开更多
In 1986, G.X. Viennot introduced the theory of heaps of pieces as a visualization of Cartier and Foata’s “partially commutative monoids”. These are essentially labeled posets satisfying a few additional properties,...In 1986, G.X. Viennot introduced the theory of heaps of pieces as a visualization of Cartier and Foata’s “partially commutative monoids”. These are essentially labeled posets satisfying a few additional properties, and one natural setting where they arise is as models of reduced words in Coxeter groups. In this paper, we introduce a cyclic version of a heap, which loosely speaking, can be thought of as taking a heap and wrapping it into a cylinder. We call this object a toric heap, because we formalize it as a labeled toric poset, which is a cyclic version of an ordinary poset. Defining the category of toric heaps leads to the notion of certain morphisms such as toric extensions. We study toric heaps in Coxeter theory, because a cyclic shift of a reduced word is simply a conjugate by an initial or terminal generator. As such, we formalize and study a framework that we call cyclic reducibility in Coxeter theory, which is closely related to conjugacy. We introduce what it means for elements to be torically reduced, which is a stronger condition than simply being cyclically reduced. Along the way, we encounter a new class of elements that we call torically fully commutative (TFC), which are those that have a unique cyclic commutativity class, and comprise a strictly bigger class than the cyclically fully commutative (CFC) elements. We prove several cyclic analogues of results on fully commutative (FC) elements due to Stembridge. We conclude with how this framework fits into recent work in Coxeter groups, and we correct a minor flaw in a few recently published theorems.展开更多
The aim of this study was to evaluate the incidence and severity of erectile dysfunction (ED) and hypogonadism in 193 men presenting with lower urinary tract symptoms (LUTSs) in the younger (20 - 39 years old) and old...The aim of this study was to evaluate the incidence and severity of erectile dysfunction (ED) and hypogonadism in 193 men presenting with lower urinary tract symptoms (LUTSs) in the younger (20 - 39 years old) and older (40 - 60 years old) age groups depending on the presence of metabolic syndrome (MetS). Triglycerides, glucose and high-density lipoprotein cholesterol, serum total testosterone (TT), sex hormone-binding globulin, prostate-specific antigen, pituitary hormones levels were measured in serum. Standardized criteria (2009) were used to determine the prevalence of MetS. Patients were assessed based on the International Prostate Symptom Score (IPSS) and the IPSS-Quality of Life (IPSS-QoL) for LUTSs and the International Index of Erectile Function (IIEF) for ED. Hypogonadism was determined in accordance with the ISA, ISSAM, EAU, EAA and ASA recommendations. In men with MetS in the younger age group the incidence of ED was 2.4 times higher, and that of low TT level and hypogonadism was 8.4 times higher compared to men without the syndrome. In the older age group, an increased incidence of ED and low TT level in men with MetS compared to men without the syndrome was on the trend level, but the incidence of hypogonadism was for sure higher (by 1.6 times). In conclusion, the study showed that ED and hypogonadism are associated with MetS by a high degree of certainty in young men with LUTSs. In men of the older age group with LUTSs, the presence of MetS is not so clearly associated with ED and hypogonadism due to the fact that the incidence of these urogenital diseases is also high in men without MetS.展开更多
Recent examples of periodic bifurcations in descendant trees of finite p-groups with ?are used to show that the possible p-class tower groups G of certain multiquadratic fields K with p- class group of type (2,2,2) , ...Recent examples of periodic bifurcations in descendant trees of finite p-groups with ?are used to show that the possible p-class tower groups G of certain multiquadratic fields K with p- class group of type (2,2,2) , resp. (3,3), form periodic sequences in the descendant tree of the elementary Abelian root , resp. . The particular vertex of the periodic sequence which occurs as the p-class tower group G of an assigned field K is determined uniquely by the p-class number of a quadratic, resp. cubic, auxiliary field k, associated unambiguously to K. Consequently, the hard problem of identifying the p-class tower group G is reduced to an easy computation of low degree arithmetical invariants.展开更多
A method using group-induced second-order long waves(GSLW) to represent statistical properties of wave groups with double-peaked spectra is put forward in this paper on the basis of the GSLW theory. The GSLW is regard...A method using group-induced second-order long waves(GSLW) to represent statistical properties of wave groups with double-peaked spectra is put forward in this paper on the basis of the GSLW theory. The GSLW is regarded as a weighted linear superimposition of the second-order long Wave induced by the low peak frequency section and that induced by the high peak frequency section. There is a parabolic relationship between the GSLW and the wave envelope. Then the probability density function and the distribution function of the GSLW amplitude are derived. Thus the formulas for the average time duration and the mean length of runs can be derived. Good agreement between theoretical results and measured values was achieved. as verified with the measured double-peaked spectra in different regions.展开更多
A new method using group-induced second-order long waves (GSLW) to describe wave groups is presented in this paper on the basis of the GSLW theory by Longuet- Higgins and Steward (1964) . In the method , the parabolic...A new method using group-induced second-order long waves (GSLW) to describe wave groups is presented in this paper on the basis of the GSLW theory by Longuet- Higgins and Steward (1964) . In the method , the parabolic relationship between GSLW and the wave envelope is first deduced , and then the distribution function of GSLW amplitude is derived . Thus, the formulae in terms of the moments of GSLW and short wave spectra for the average time duration and the mean length of runs of wave heights exceeding a certain level can be derived . A new groupiness factor equivalent to half the mean wave number in wave groups is defined by taking into account the widths of spectra of GSLW and short waves . Compared with theoretical results of others , ours are closer to measured wave data .展开更多
The interests of vulnerable groups can’t be guaranteed due to their weaker capacity and the limited interests demand channels during the water pollution conflicts. The interest protection for the vulnerable people in...The interests of vulnerable groups can’t be guaranteed due to their weaker capacity and the limited interests demand channels during the water pollution conflicts. The interest protection for the vulnerable people in the water pollution conflicts has attracted attentions of the international scholars. The paper tries to construct the market mechanism which can make the vulnerable people to involve in the emission trading. The vulnerable people can buy American put option in the emission trading market. When the price of the emission runs below the contract price, the vulnerable people can get the benefit through executing the option. When the price of the emission runs above the contract price, the vulnerable people can give up the right. The binomial tree option pricing model can help the vulnerable people to make a decision through the analysis of the worth of the American put option.展开更多
Let G be a finite group and H a subgroup of G.The normal index of H in G is defined as the order of K/H_(G),where K is a normal supplement of H in G such that|K|is minimal and H_(G)≤K■G.Let p be a prime which divide...Let G be a finite group and H a subgroup of G.The normal index of H in G is defined as the order of K/H_(G),where K is a normal supplement of H in G such that|K|is minimal and H_(G)≤K■G.Let p be a prime which divides the order of a group G.In this paper,some characterizations of G being p-solvable or p-supersolvable were obtained by analyzing the normal index of certain subgroups of G.These results can be viewed as local version of recent results in the literature.展开更多
AIM:To study frequency of blood groups,prevalence of sickle-cell anemia trait and glucose-6-phosphate dehydrogenase deficiency(G6PD),among consanguineous Yansi tribe.METHODS:A total of 525 blood samples were collected...AIM:To study frequency of blood groups,prevalence of sickle-cell anemia trait and glucose-6-phosphate dehydrogenase deficiency(G6PD),among consanguineous Yansi tribe.METHODS:A total of 525 blood samples were collected,of which 256 among the Yansi population,and269 for the unrelated control group in the Bandunduprovince of Democratic Republic of Congo.Blood group antigens were determined in the following systems:ABO,Rh,Kell,Duffy,Kidd and MNS.Blood grouping and extended phenotype tests were performed according to standard immunohematological procedures.Spot tests and tandem mass spectrometry were used respectively for the assessment of G6PD and sickle-cell anemia trait.RESULTS:The frequency of ABO phenotypes conformed to the following order O>A>B>AB with notably 62.5%,23.8%,12.1%and 1.6%for the Yansi,and 54.6%,27.5%,14.1%and 3.7%for the unrelated control group,respectively(P=0.19).As for the Rh phenotypes,the most frequent were cc D.ee,cc D.Ee,Cc D.ee,corresponding to 71.5%,12.1%and 12.1%for the Yansi,and 70.6%,15.6%and 8.2%,for the unrelated control group(P=0.27).The frequency of MN and Ss phenotypes were statistically different between groups(P=0.0021 and P=0.0006).G6PD was observed in 11.3%of subjects in the Yansi group,and in 12.4%of controls(P=0.74).The sickle-cell anemia trait was present in 22.4%of Yansi subjects and 17.8%in the control group(P=0.24).Miscarriages and deaths in young age were more common among Yansi people.CONCLUSION:This study shows a significant difference in MNS blood group distribution between the Yansi tribe and a control population.The distribution of other blood groups and the prevalence of hemoglobinopathies did not differ in the Yansi tribe.展开更多
Current minimization programs do not permit full control over different aspects of minimization algorithm such as distance or probability measures and may not allow for unequal allocation ratios. This article describe...Current minimization programs do not permit full control over different aspects of minimization algorithm such as distance or probability measures and may not allow for unequal allocation ratios. This article describes the implementation of “MinimPy” an open-source minimization program in Python programming language, which provides full customizetion of minimization features. MinimPy supports naive and biased coin minimization together with various new and classic distance measures. Data syncing is provided to facilitate minimization of multicenter trial over the network. MinimPy can easily be modified to fit special needs of clinical trials and in particular change it to a pure web application, though it currently supports network syncing of data in multi-center trials using network repositories.展开更多
Realizing the physical reality of ‘tHooft’s self similar and dimensionaly regularized fractal-like spacetime as well as being inspired by a note worthy anecdote involving the great mathematician of Alexandria, Pytha...Realizing the physical reality of ‘tHooft’s self similar and dimensionaly regularized fractal-like spacetime as well as being inspired by a note worthy anecdote involving the great mathematician of Alexandria, Pythagoras and the larger than life man of theoretical physics Einstein, we utilize some deep mathematical connections between equivalence classes of equivalence relations and E-infinity theory quotient space. We started from the basic principles of self similarity which came to prominence in science with the advent of the modern theory of nonlinear dynamical systems, deterministic chaos and fractals. This fundamental logico-mathematical thread related to partially ordered sets is then applied to show how the classical Newton’s kinetic energy E = 1/2mv<sup>2</sup> leads to Einstein’s celebrated maximal energy equation E = mc<sup>2</sup> and how in turn this can be dissected into the ordinary energy density E(O) = mc<sup>2</sup>/22 and the dark energy density E(D) = mc<sup>2</sup>(21/22) of the cosmos where m is the mass;v is the velocity and c is the speed of light. The important role of the exceptional Lie symmetry groups and ‘tHooft-Veltman-Wilson dimensional regularization in fractal spacetime played in the above is also highlighted. The author hopes that the unusual character of the analysis and presentation of the present work may be taken in a positive vein as seriously attempting to propose a different and new way of doing theoretical physics by treating number theory, set theory, group theory, experimental physics as well as conventional theoretical physics on the same footing and letting all these diverse tools lead us to the answer of fundamental questions without fear of being labelled in one way or another.展开更多
This book includes classic legendary stories from six ethnic groups:Zang,Miao,Mongolian,Han,Korean,and Zhuang.It is illustrated by six highly skilled veteran artists:Ma Hansong,Yang Yongqing,Dong Xiaoming,Hu Yongkai,H...This book includes classic legendary stories from six ethnic groups:Zang,Miao,Mongolian,Han,Korean,and Zhuang.It is illustrated by six highly skilled veteran artists:Ma Hansong,Yang Yongqing,Dong Xiaoming,Hu Yongkai,Huang Chuanwei,and Chang Baosheng.The imagery in the stories is imbued with great Love and childlike innocence,conveying to children excellent ethnic virtues such as diligence,helpfulness,faith,bravery,honesty,and dedication.展开更多
Background Quantitative flow ratio(QFR)based lesion selection for percutaneous coronary intervention(PCI)treatment has shown clinical benefits in terms of reduced risk for myocardial infarction and repeat revasculariz...Background Quantitative flow ratio(QFR)based lesion selection for percutaneous coronary intervention(PCI)treatment has shown clinical benefits in terms of reduced risk for myocardial infarction and repeat revascularization.Whether this benefit is consistent across different age groups still needs further investigation.Methods In this prespecified subgroup study of FAVORⅢChina trial,we compared long-term clinical outcomes between QFR-guided and angiography-guided PCI among different age groups among 3825 enrolled subjects.The primary endpoint was major adverse cardiac events(MACEs),a composite of all-cause death,myocardial infarction,and ischemia-driven revascularization.Results Of the 3825 patients,1717(44.9%)were aged≥65 years.At baseline,patients≥65 had higher rates of hypertension,hyperlipidaemia,stroke history(P<0.0001),and peripheral vascular disease(P=0.024)and had higher SYNTAX scores(P=0.0095).Compared with standard angiography guidance,the QFR-guided strategy consistently reduced the 1-year(≥65 years,6.04%vs.9.19%,HR=0.65,95%CI:0.46–0.92;<65 years,5.53%vs.8.43%,HR=0.65,95%CI:0.47–0.91)and 3-year MACE rates in both age groups(≥65 years,11.8%vs.15.2%,HR:0.75,95%CI:0.58–0.98;<65 years,9.5%vs.14.6%,HR=0.63;95%CI:0.49–0.81),without a significant interaction(Pinteraction=0.99).Within the QFR-guided group,the 3-year MACE rate in patients with deferred vessels was numerically greater in patients aged≥65 years than in those aged<65 years(8.3%vs.3.0%,P=0.10).Conclusions Although with higher rate of comorbidities and more complex coronary anatomy,the long-term benefit of the QFR-guided PCI strategy remained consistent in patients≥65 years,compared with those<65 years.展开更多
Along the ancient Tea-Horse Road of thousands of miles between Sichuan and Xizang in Southwest China lies a centuries old courtyard.Commonly called the"Jiang Family Compound"or"Yu Xing Tea Store",t...Along the ancient Tea-Horse Road of thousands of miles between Sichuan and Xizang in Southwest China lies a centuries old courtyard.Commonly called the"Jiang Family Compound"or"Yu Xing Tea Store",this architecture situated in the old downtown area of Yingjing County in Ya'an City,Sichuan Province,was once the residence of the local tea merchants-the Jiang family.展开更多
This is a pedagogical introduction to the theory of buildings of Jacques Tits and to some applications of this theory.This paper has 4 parts.In the first part we discuss incidence geometry,Coxeter systems and give two...This is a pedagogical introduction to the theory of buildings of Jacques Tits and to some applications of this theory.This paper has 4 parts.In the first part we discuss incidence geometry,Coxeter systems and give two definitions of buildings.We study in the second part the spherical and affine buildings of Chevalley groups.In the third part we deal with Bruhat-Tits theory of reductive groups over local fields.Finally we discuss the construction of the p-adic flag manifolds.展开更多
The paper considers the lattice of fully invariant subgroups of the cotorsion hull ?when a separable primary group T?is an arbitrary direct sum of torsion-complete groups.The investigation of this problem in the case ...The paper considers the lattice of fully invariant subgroups of the cotorsion hull ?when a separable primary group T?is an arbitrary direct sum of torsion-complete groups.The investigation of this problem in the case of a cotorsion hull is important because endomorphisms in this class of groups are completely defined by their action on the torsion part and for mixed groups the ring of endomorphisms is isomorphic to the ring of endomorphisms of the torsion part if and only if the group is a fully invariant subgroup of the cotorsion hull of its torsion part. In the considered case, the cotorsion hull is not fully transitive and hence it is necessary to introduce a new function which differs from an indicator and assigns an infinite matrix to each element of the cotorsion hull. The relation ?difined on the set ?of these matrices is different from the relation proposed by the autor in the countable case and better discribes the lower semilattice. The use of the relation ?essentially simplifies the verification of the required properties. It is proved that the lattice of fully invariant subgroups of the group is isomorphic to the lattice of filters of the lower semilattice.展开更多
The internal Zappa-Szép products emerge when a semigroup has the property that every element has a unique decomposition as a product of elements from two given subsemigroups. The external version constructed from...The internal Zappa-Szép products emerge when a semigroup has the property that every element has a unique decomposition as a product of elements from two given subsemigroups. The external version constructed from actions of two semigroups on one another satisfying axiom derived by G. Zappa. We illustrate the correspondence between the two versions internal and the external of Zappa-Szép products of semigroups. We consider the structure of the internal Zappa-Szép product as an enlargement. We show how rectangular band can be described as the Zappa-Szép product of a left-zero semigroup and a right-zero semigroup. We find necessary and sufficient conditions for the Zappa-Szép product of regular semigroups to again be regular, and necessary conditions for the Zappa-Szép product of inverse semigroups to again be inverse. We generalize the Billhardt λ-semidirect product to the Zappa-Szép product of a semilattice E and a group G by constructing an inductive groupoid.展开更多
文摘Let p be a prime. For any finite p-group G, the deep transfers T H,G ' : H / H ' → G ' / G " from the maximal subgroups H of index (G:H) = p in G to the derived subgroup G ' are introduced as an innovative tool for identifying G uniquely by means of the family of kernels ùd(G) =(ker(T H,G ')) (G: H) = p. For all finite 3-groups G of coclass cc(G) = 1, the family ùd(G) is determined explicitly. The results are applied to the Galois groups G =Gal(F3 (∞)/ F) of the Hilbert 3-class towers of all real quadratic fields F = Q(√d) with fundamental discriminants d > 1, 3-class group Cl3(F) □ C3 × C3, and total 3-principalization in each of their four unramified cyclic cubic extensions E/F. A systematic statistical evaluation is given for the complete range 1 d 7, and a few exceptional cases are pointed out for 1 d 8.
文摘Based on a general theory of descendant trees of finite p-groups and the virtual periodicity isomorphisms between the branches of a coclass subtree, the behavior of algebraic invariants of the tree vertices and their automorphism groups under these isomorphisms is described with simple transformation laws. For the tree of finite 3-groups with elementary bicyclic commutator qu-otient, the information content of each coclass subtree with metabelian main-line is shown to be finite. As a striking novelty in this paper, evidence is provided of co-periodicity isomorphisms between coclass forests which reduce the information content of the entire metabelian skeleton and a significant part of non-metabelian vertices to a finite amount of data.
文摘Let 0<γ<π be a fixed pythagorean angle. We study the abelian group Hr of primitive integral triangles (a,b,c) for which the angle opposite side c is γ. Addition in Hr is defined by adding the angles β opposite side b and modding out by π-γ. The only Hr for which the structure is known is Hπ/2, which is free abelian. We prove that for generalγ, Hr has an element of order two iff 2(1- cosγ) is a rational square, and it has elements of order three iff the cubic (2cosγ)x3-3x2+1=0 has a rational solution 0<x<1. This shows that the set of values ofγ for which Hr has two-torsion is dense in [0, π], and similarly for three-torsion. We also show that there is at most one copy of either Z2 or Z3 in Hr. Finally, we give some examples of higher order torsion elements in Hr.
文摘Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant trees of finite p-groups.
文摘In 1986, G.X. Viennot introduced the theory of heaps of pieces as a visualization of Cartier and Foata’s “partially commutative monoids”. These are essentially labeled posets satisfying a few additional properties, and one natural setting where they arise is as models of reduced words in Coxeter groups. In this paper, we introduce a cyclic version of a heap, which loosely speaking, can be thought of as taking a heap and wrapping it into a cylinder. We call this object a toric heap, because we formalize it as a labeled toric poset, which is a cyclic version of an ordinary poset. Defining the category of toric heaps leads to the notion of certain morphisms such as toric extensions. We study toric heaps in Coxeter theory, because a cyclic shift of a reduced word is simply a conjugate by an initial or terminal generator. As such, we formalize and study a framework that we call cyclic reducibility in Coxeter theory, which is closely related to conjugacy. We introduce what it means for elements to be torically reduced, which is a stronger condition than simply being cyclically reduced. Along the way, we encounter a new class of elements that we call torically fully commutative (TFC), which are those that have a unique cyclic commutativity class, and comprise a strictly bigger class than the cyclically fully commutative (CFC) elements. We prove several cyclic analogues of results on fully commutative (FC) elements due to Stembridge. We conclude with how this framework fits into recent work in Coxeter groups, and we correct a minor flaw in a few recently published theorems.
文摘The aim of this study was to evaluate the incidence and severity of erectile dysfunction (ED) and hypogonadism in 193 men presenting with lower urinary tract symptoms (LUTSs) in the younger (20 - 39 years old) and older (40 - 60 years old) age groups depending on the presence of metabolic syndrome (MetS). Triglycerides, glucose and high-density lipoprotein cholesterol, serum total testosterone (TT), sex hormone-binding globulin, prostate-specific antigen, pituitary hormones levels were measured in serum. Standardized criteria (2009) were used to determine the prevalence of MetS. Patients were assessed based on the International Prostate Symptom Score (IPSS) and the IPSS-Quality of Life (IPSS-QoL) for LUTSs and the International Index of Erectile Function (IIEF) for ED. Hypogonadism was determined in accordance with the ISA, ISSAM, EAU, EAA and ASA recommendations. In men with MetS in the younger age group the incidence of ED was 2.4 times higher, and that of low TT level and hypogonadism was 8.4 times higher compared to men without the syndrome. In the older age group, an increased incidence of ED and low TT level in men with MetS compared to men without the syndrome was on the trend level, but the incidence of hypogonadism was for sure higher (by 1.6 times). In conclusion, the study showed that ED and hypogonadism are associated with MetS by a high degree of certainty in young men with LUTSs. In men of the older age group with LUTSs, the presence of MetS is not so clearly associated with ED and hypogonadism due to the fact that the incidence of these urogenital diseases is also high in men without MetS.
文摘Recent examples of periodic bifurcations in descendant trees of finite p-groups with ?are used to show that the possible p-class tower groups G of certain multiquadratic fields K with p- class group of type (2,2,2) , resp. (3,3), form periodic sequences in the descendant tree of the elementary Abelian root , resp. . The particular vertex of the periodic sequence which occurs as the p-class tower group G of an assigned field K is determined uniquely by the p-class number of a quadratic, resp. cubic, auxiliary field k, associated unambiguously to K. Consequently, the hard problem of identifying the p-class tower group G is reduced to an easy computation of low degree arithmetical invariants.
基金This project was funded by the National Natural Science Foundation of China
文摘A method using group-induced second-order long waves(GSLW) to represent statistical properties of wave groups with double-peaked spectra is put forward in this paper on the basis of the GSLW theory. The GSLW is regarded as a weighted linear superimposition of the second-order long Wave induced by the low peak frequency section and that induced by the high peak frequency section. There is a parabolic relationship between the GSLW and the wave envelope. Then the probability density function and the distribution function of the GSLW amplitude are derived. Thus the formulas for the average time duration and the mean length of runs can be derived. Good agreement between theoretical results and measured values was achieved. as verified with the measured double-peaked spectra in different regions.
基金This project was funded by the National Natural Science Foundation of China
文摘A new method using group-induced second-order long waves (GSLW) to describe wave groups is presented in this paper on the basis of the GSLW theory by Longuet- Higgins and Steward (1964) . In the method , the parabolic relationship between GSLW and the wave envelope is first deduced , and then the distribution function of GSLW amplitude is derived . Thus, the formulae in terms of the moments of GSLW and short wave spectra for the average time duration and the mean length of runs of wave heights exceeding a certain level can be derived . A new groupiness factor equivalent to half the mean wave number in wave groups is defined by taking into account the widths of spectra of GSLW and short waves . Compared with theoretical results of others , ours are closer to measured wave data .
文摘The interests of vulnerable groups can’t be guaranteed due to their weaker capacity and the limited interests demand channels during the water pollution conflicts. The interest protection for the vulnerable people in the water pollution conflicts has attracted attentions of the international scholars. The paper tries to construct the market mechanism which can make the vulnerable people to involve in the emission trading. The vulnerable people can buy American put option in the emission trading market. When the price of the emission runs below the contract price, the vulnerable people can get the benefit through executing the option. When the price of the emission runs above the contract price, the vulnerable people can give up the right. The binomial tree option pricing model can help the vulnerable people to make a decision through the analysis of the worth of the American put option.
基金Supported by the National Natural Science Foundation of China(Grant No.12071092)Guangdong Basic and Applied Basic Research Foundation(Grant No.2025A1515012072)+1 种基金the Natural Science Research Project of Anhui Educational Committee(Grant No.2024AH051298)the Scientific Research Foundation of Bozhou University(Grant No.BYKQ202419).
文摘Let G be a finite group and H a subgroup of G.The normal index of H in G is defined as the order of K/H_(G),where K is a normal supplement of H in G such that|K|is minimal and H_(G)≤K■G.Let p be a prime which divides the order of a group G.In this paper,some characterizations of G being p-solvable or p-supersolvable were obtained by analyzing the normal index of certain subgroups of G.These results can be viewed as local version of recent results in the literature.
文摘AIM:To study frequency of blood groups,prevalence of sickle-cell anemia trait and glucose-6-phosphate dehydrogenase deficiency(G6PD),among consanguineous Yansi tribe.METHODS:A total of 525 blood samples were collected,of which 256 among the Yansi population,and269 for the unrelated control group in the Bandunduprovince of Democratic Republic of Congo.Blood group antigens were determined in the following systems:ABO,Rh,Kell,Duffy,Kidd and MNS.Blood grouping and extended phenotype tests were performed according to standard immunohematological procedures.Spot tests and tandem mass spectrometry were used respectively for the assessment of G6PD and sickle-cell anemia trait.RESULTS:The frequency of ABO phenotypes conformed to the following order O>A>B>AB with notably 62.5%,23.8%,12.1%and 1.6%for the Yansi,and 54.6%,27.5%,14.1%and 3.7%for the unrelated control group,respectively(P=0.19).As for the Rh phenotypes,the most frequent were cc D.ee,cc D.Ee,Cc D.ee,corresponding to 71.5%,12.1%and 12.1%for the Yansi,and 70.6%,15.6%and 8.2%,for the unrelated control group(P=0.27).The frequency of MN and Ss phenotypes were statistically different between groups(P=0.0021 and P=0.0006).G6PD was observed in 11.3%of subjects in the Yansi group,and in 12.4%of controls(P=0.74).The sickle-cell anemia trait was present in 22.4%of Yansi subjects and 17.8%in the control group(P=0.24).Miscarriages and deaths in young age were more common among Yansi people.CONCLUSION:This study shows a significant difference in MNS blood group distribution between the Yansi tribe and a control population.The distribution of other blood groups and the prevalence of hemoglobinopathies did not differ in the Yansi tribe.
文摘Current minimization programs do not permit full control over different aspects of minimization algorithm such as distance or probability measures and may not allow for unequal allocation ratios. This article describes the implementation of “MinimPy” an open-source minimization program in Python programming language, which provides full customizetion of minimization features. MinimPy supports naive and biased coin minimization together with various new and classic distance measures. Data syncing is provided to facilitate minimization of multicenter trial over the network. MinimPy can easily be modified to fit special needs of clinical trials and in particular change it to a pure web application, though it currently supports network syncing of data in multi-center trials using network repositories.
文摘Realizing the physical reality of ‘tHooft’s self similar and dimensionaly regularized fractal-like spacetime as well as being inspired by a note worthy anecdote involving the great mathematician of Alexandria, Pythagoras and the larger than life man of theoretical physics Einstein, we utilize some deep mathematical connections between equivalence classes of equivalence relations and E-infinity theory quotient space. We started from the basic principles of self similarity which came to prominence in science with the advent of the modern theory of nonlinear dynamical systems, deterministic chaos and fractals. This fundamental logico-mathematical thread related to partially ordered sets is then applied to show how the classical Newton’s kinetic energy E = 1/2mv<sup>2</sup> leads to Einstein’s celebrated maximal energy equation E = mc<sup>2</sup> and how in turn this can be dissected into the ordinary energy density E(O) = mc<sup>2</sup>/22 and the dark energy density E(D) = mc<sup>2</sup>(21/22) of the cosmos where m is the mass;v is the velocity and c is the speed of light. The important role of the exceptional Lie symmetry groups and ‘tHooft-Veltman-Wilson dimensional regularization in fractal spacetime played in the above is also highlighted. The author hopes that the unusual character of the analysis and presentation of the present work may be taken in a positive vein as seriously attempting to propose a different and new way of doing theoretical physics by treating number theory, set theory, group theory, experimental physics as well as conventional theoretical physics on the same footing and letting all these diverse tools lead us to the answer of fundamental questions without fear of being labelled in one way or another.
文摘This book includes classic legendary stories from six ethnic groups:Zang,Miao,Mongolian,Han,Korean,and Zhuang.It is illustrated by six highly skilled veteran artists:Ma Hansong,Yang Yongqing,Dong Xiaoming,Hu Yongkai,Huang Chuanwei,and Chang Baosheng.The imagery in the stories is imbued with great Love and childlike innocence,conveying to children excellent ethnic virtues such as diligence,helpfulness,faith,bravery,honesty,and dedication.
文摘Background Quantitative flow ratio(QFR)based lesion selection for percutaneous coronary intervention(PCI)treatment has shown clinical benefits in terms of reduced risk for myocardial infarction and repeat revascularization.Whether this benefit is consistent across different age groups still needs further investigation.Methods In this prespecified subgroup study of FAVORⅢChina trial,we compared long-term clinical outcomes between QFR-guided and angiography-guided PCI among different age groups among 3825 enrolled subjects.The primary endpoint was major adverse cardiac events(MACEs),a composite of all-cause death,myocardial infarction,and ischemia-driven revascularization.Results Of the 3825 patients,1717(44.9%)were aged≥65 years.At baseline,patients≥65 had higher rates of hypertension,hyperlipidaemia,stroke history(P<0.0001),and peripheral vascular disease(P=0.024)and had higher SYNTAX scores(P=0.0095).Compared with standard angiography guidance,the QFR-guided strategy consistently reduced the 1-year(≥65 years,6.04%vs.9.19%,HR=0.65,95%CI:0.46–0.92;<65 years,5.53%vs.8.43%,HR=0.65,95%CI:0.47–0.91)and 3-year MACE rates in both age groups(≥65 years,11.8%vs.15.2%,HR:0.75,95%CI:0.58–0.98;<65 years,9.5%vs.14.6%,HR=0.63;95%CI:0.49–0.81),without a significant interaction(Pinteraction=0.99).Within the QFR-guided group,the 3-year MACE rate in patients with deferred vessels was numerically greater in patients aged≥65 years than in those aged<65 years(8.3%vs.3.0%,P=0.10).Conclusions Although with higher rate of comorbidities and more complex coronary anatomy,the long-term benefit of the QFR-guided PCI strategy remained consistent in patients≥65 years,compared with those<65 years.
文摘Along the ancient Tea-Horse Road of thousands of miles between Sichuan and Xizang in Southwest China lies a centuries old courtyard.Commonly called the"Jiang Family Compound"or"Yu Xing Tea Store",this architecture situated in the old downtown area of Yingjing County in Ya'an City,Sichuan Province,was once the residence of the local tea merchants-the Jiang family.
文摘This is a pedagogical introduction to the theory of buildings of Jacques Tits and to some applications of this theory.This paper has 4 parts.In the first part we discuss incidence geometry,Coxeter systems and give two definitions of buildings.We study in the second part the spherical and affine buildings of Chevalley groups.In the third part we deal with Bruhat-Tits theory of reductive groups over local fields.Finally we discuss the construction of the p-adic flag manifolds.
文摘The paper considers the lattice of fully invariant subgroups of the cotorsion hull ?when a separable primary group T?is an arbitrary direct sum of torsion-complete groups.The investigation of this problem in the case of a cotorsion hull is important because endomorphisms in this class of groups are completely defined by their action on the torsion part and for mixed groups the ring of endomorphisms is isomorphic to the ring of endomorphisms of the torsion part if and only if the group is a fully invariant subgroup of the cotorsion hull of its torsion part. In the considered case, the cotorsion hull is not fully transitive and hence it is necessary to introduce a new function which differs from an indicator and assigns an infinite matrix to each element of the cotorsion hull. The relation ?difined on the set ?of these matrices is different from the relation proposed by the autor in the countable case and better discribes the lower semilattice. The use of the relation ?essentially simplifies the verification of the required properties. It is proved that the lattice of fully invariant subgroups of the group is isomorphic to the lattice of filters of the lower semilattice.
文摘The internal Zappa-Szép products emerge when a semigroup has the property that every element has a unique decomposition as a product of elements from two given subsemigroups. The external version constructed from actions of two semigroups on one another satisfying axiom derived by G. Zappa. We illustrate the correspondence between the two versions internal and the external of Zappa-Szép products of semigroups. We consider the structure of the internal Zappa-Szép product as an enlargement. We show how rectangular band can be described as the Zappa-Szép product of a left-zero semigroup and a right-zero semigroup. We find necessary and sufficient conditions for the Zappa-Szép product of regular semigroups to again be regular, and necessary conditions for the Zappa-Szép product of inverse semigroups to again be inverse. We generalize the Billhardt λ-semidirect product to the Zappa-Szép product of a semilattice E and a group G by constructing an inductive groupoid.
