Acute and recurring pericarditis are frequently encountered clinical entities.Given that severe complications such as tamponade and constrictive pericarditis occur rarely,the majority of patients suffering from acute ...Acute and recurring pericarditis are frequently encountered clinical entities.Given that severe complications such as tamponade and constrictive pericarditis occur rarely,the majority of patients suffering from acute pericarditis will have a benign clinical course.However,pericarditis recurrence,with its painful symptoms,is frequent.In effect,recent studies have demonstrated a beneficial role of colchicine in preventing recurrence,while also suggesting an increase in recurrences with the use of corticosteroids,the traditional first-line agent.展开更多
Recent attention has been put into recurring slope lineae (RSL), after the discovery that water is present in them. It is assumed that RSL are due to flowing water. However, even though that might be the case, the gen...Recent attention has been put into recurring slope lineae (RSL), after the discovery that water is present in them. It is assumed that RSL are due to flowing water. However, even though that might be the case, the general characteristics of RSL as well as their seasonal and spatial distribution in Mars, and their occurrence within craters, suggest that RSL correspond to the weathering of frozen aquifers, which coincides with slope stability processes occurring in impact craters and scree slopes from Earth. In this study, we associated RSL with similar weathering processes occurring on impact craters and hydrogeological processes occurring on Earth (including ice, water, and wind erosion and natural aquifer recharge processes). We were able to create a conceptual model on how RSL develop, why are they found mostly in mid latitudes around craters, why are they present in more frequency in one side of crates in high latitudes, and why are there more RSL in the Martian southern hemisphere. Considering the whole hydrogeological processes occurring in craters that experience RSL, we were able to predict where large quantities of liquid water are most likely to be present in the red planet.展开更多
In this paper, we analyze the enthalpy, enthalpy energy density, thermodynamic volume, and the equation of state of a modified white hole. We obtain new possible mathematical connections with some sectors of Number Th...In this paper, we analyze the enthalpy, enthalpy energy density, thermodynamic volume, and the equation of state of a modified white hole. We obtain new possible mathematical connections with some sectors of Number Theory, Ramanujan Recurring Numbers, DN Constant and String Theory, that enable us to extract the quantum geometrical properties of these thermodynamic equations and the implication to the quantum vacuum spacetime geometry of our early universe as they act as the constraints to the nature of quantum gravity of the universe.展开更多
This is a small survey of applications of the theory of Grobner bases to the study of linear recurring arrays. It applies some properties of Grobner bases to studying linear recurring arrays and contains recent new re...This is a small survey of applications of the theory of Grobner bases to the study of linear recurring arrays. It applies some properties of Grobner bases to studying linear recurring arrays and contains recent new results on linear recurring arrays.展开更多
In this paper we prove that the number of translation equivalence classes of linearrecurring m-arrays over F_q with period(r,s)is(φ(rs))/(log_q(rs+1)),where φ is Euler function.
The concept of the splitting ring of the polynomial over ring Z(pe) is introduced and the factomation of polynomials and the properties df polynomial roots are discussed. By using these results and the structure of se...The concept of the splitting ring of the polynomial over ring Z(pe) is introduced and the factomation of polynomials and the properties df polynomial roots are discussed. By using these results and the structure of sequence families, it is shown that the terms of a linear recurring sequence over Z/(pe) may be represented by the roots of its characteristic polynomial and the representation is uniquely determined by the sequence.展开更多
For a class of algebraic-geometric codes, a type of recurring relation is introduced on the syndrome sequence of an error vector. Then, a new majority yoting scheme is developed. By applying the generalized Berlekamp-...For a class of algebraic-geometric codes, a type of recurring relation is introduced on the syndrome sequence of an error vector. Then, a new majority yoting scheme is developed. By applying the generalized Berlekamp-Massey algorithm, and incorporating the majority voting scheme, an efficient decoding algorithm up to half the Feng-Rao bound is developed for a class of algebraic-geometric codes, the complexity of which is O （ γo<sub>1</sub>n<sup>2</sup>）, where n is the code length, and γ is the genus of curve. On different algebraic curves, the complexity of the algorithm can be lowered by choosing base functions suitably. For example, on Hermitian curves the complexity is O(n<sup>7/3</sup>.展开更多
A new type of recurring relation is introduced on sequences, which is a generalization of linear recurring relations. The concept of minimal polynomial set of such relations is established. Some of their important pro...A new type of recurring relation is introduced on sequences, which is a generalization of linear recurring relations. The concept of minimal polynomial set of such relations is established. Some of their important properties are presented, such as the agreement theorem. And on this basis, an algorithm for computing a minimal polynomial set of such relations is developed, which is a generalization of the Berlekamp\|Massey algorithm, and its complexity is discussed.展开更多
Let F_(q) be a finite field of odd characteristic containing q elements,and n be a positive integer.An important problem in finite field theory is to factorize x^(n)-1 into the product of irreducible factors over a fi...Let F_(q) be a finite field of odd characteristic containing q elements,and n be a positive integer.An important problem in finite field theory is to factorize x^(n)-1 into the product of irreducible factors over a finite field.Beyond the realm of theoretical needs,the availability of coefficients of irreducible factors over finite fields is also very important for applications.In this paper,we introduce second order linear recurring sequences in F_(q) and reformulate the explicit factorization of x^(2nd)-1 over in such a way that the coefficients of its irreducible factors can be determined from these sequences when d is an odd divisor of q+1.展开更多
Venezuela-Colombia diplomatic disputes draw attention to Latin America’s struggle for solidarity The diplomatic dispute between Colombia and Venezuela ended when the presidents of the two nations met in Santa Marta,C...Venezuela-Colombia diplomatic disputes draw attention to Latin America’s struggle for solidarity The diplomatic dispute between Colombia and Venezuela ended when the presidents of the two nations met in Santa Marta,Colombia,on August 10.展开更多
BACKGROUND Forehead osteoma is a commonly encountered benign facial bone tumor.Endoscopic excision of benign forehead masses is widely performed.Here,we report a rare case of recurrent forehead osteoma that disseminat...BACKGROUND Forehead osteoma is a commonly encountered benign facial bone tumor.Endoscopic excision of benign forehead masses is widely performed.Here,we report a rare case of recurrent forehead osteoma that disseminated after a previous osteoma excision.CASE SUMMARY A 54-year-old female patient had previously undergone endoscopic removal of a single forehead osteoma at 30 years of age.However,she had a recurrent osteoma around the same site and underwent another endoscopic resection at 40 years of age.During her first visit to our outpatient clinic,she presented with a cobblestone-like irregular surface on the forehead and a 3D facial bone computed tomography scan revealed a widely ragged surface of the inoculated osteoma on the outer table of the frontal bone.Under general anesthesia,we performed a radical complete excision of the disseminated osteoma through a bicoronal incision using an osteotome,chisel,mallet,and rasping.We hypothesized that the recurrence may have been caused by the inoculation of residual osteoma remnants from the previous procedure.Craniofacial surgeons should be cautious when removing osteoma particles,particularly when using an endoscopic approach.CONCLUSION To prevent recurrence,it is essential to conduct additional meticulous burring and a thorough inspection of the surface after copious irrigation.展开更多
The linear complexity of a new kind of keystream sequences.FCSR sequences,is discussed by use of the properties of cyclotomic polynomials.Based on the results of C.Seo's,an upper bound and a lower bound on the li...The linear complexity of a new kind of keystream sequences.FCSR sequences,is discussed by use of the properties of cyclotomic polynomials.Based on the results of C.Seo's,an upper bound and a lower bound on the linear complexity of a significant kind of FCSR sequences—l-sequences are presented.展开更多
文摘Acute and recurring pericarditis are frequently encountered clinical entities.Given that severe complications such as tamponade and constrictive pericarditis occur rarely,the majority of patients suffering from acute pericarditis will have a benign clinical course.However,pericarditis recurrence,with its painful symptoms,is frequent.In effect,recent studies have demonstrated a beneficial role of colchicine in preventing recurrence,while also suggesting an increase in recurrences with the use of corticosteroids,the traditional first-line agent.
文摘Recent attention has been put into recurring slope lineae (RSL), after the discovery that water is present in them. It is assumed that RSL are due to flowing water. However, even though that might be the case, the general characteristics of RSL as well as their seasonal and spatial distribution in Mars, and their occurrence within craters, suggest that RSL correspond to the weathering of frozen aquifers, which coincides with slope stability processes occurring in impact craters and scree slopes from Earth. In this study, we associated RSL with similar weathering processes occurring on impact craters and hydrogeological processes occurring on Earth (including ice, water, and wind erosion and natural aquifer recharge processes). We were able to create a conceptual model on how RSL develop, why are they found mostly in mid latitudes around craters, why are they present in more frequency in one side of crates in high latitudes, and why are there more RSL in the Martian southern hemisphere. Considering the whole hydrogeological processes occurring in craters that experience RSL, we were able to predict where large quantities of liquid water are most likely to be present in the red planet.
文摘In this paper, we analyze the enthalpy, enthalpy energy density, thermodynamic volume, and the equation of state of a modified white hole. We obtain new possible mathematical connections with some sectors of Number Theory, Ramanujan Recurring Numbers, DN Constant and String Theory, that enable us to extract the quantum geometrical properties of these thermodynamic equations and the implication to the quantum vacuum spacetime geometry of our early universe as they act as the constraints to the nature of quantum gravity of the universe.
基金This work was supported by the National Natural Science Foundation of China (Grant Nos. 19831070 and 60083002).
文摘This is a small survey of applications of the theory of Grobner bases to the study of linear recurring arrays. It applies some properties of Grobner bases to studying linear recurring arrays and contains recent new results on linear recurring arrays.
文摘In this paper we prove that the number of translation equivalence classes of linearrecurring m-arrays over F_q with period(r,s)is(φ(rs))/(log_q(rs+1)),where φ is Euler function.
基金Project supported by the State Key Laboratory of Information Security,Graduate School of Academia Sinica.
文摘The concept of the splitting ring of the polynomial over ring Z(pe) is introduced and the factomation of polynomials and the properties df polynomial roots are discussed. By using these results and the structure of sequence families, it is shown that the terms of a linear recurring sequence over Z/(pe) may be represented by the roots of its characteristic polynomial and the representation is uniquely determined by the sequence.
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 69673025 and 69673016).
文摘For a class of algebraic-geometric codes, a type of recurring relation is introduced on the syndrome sequence of an error vector. Then, a new majority yoting scheme is developed. By applying the generalized Berlekamp-Massey algorithm, and incorporating the majority voting scheme, an efficient decoding algorithm up to half the Feng-Rao bound is developed for a class of algebraic-geometric codes, the complexity of which is O （ γo<sub>1</sub>n<sup>2</sup>）, where n is the code length, and γ is the genus of curve. On different algebraic curves, the complexity of the algorithm can be lowered by choosing base functions suitably. For example, on Hermitian curves the complexity is O(n<sup>7/3</sup>.
文摘A new type of recurring relation is introduced on sequences, which is a generalization of linear recurring relations. The concept of minimal polynomial set of such relations is established. Some of their important properties are presented, such as the agreement theorem. And on this basis, an algorithm for computing a minimal polynomial set of such relations is developed, which is a generalization of the Berlekamp\|Massey algorithm, and its complexity is discussed.
文摘Let F_(q) be a finite field of odd characteristic containing q elements,and n be a positive integer.An important problem in finite field theory is to factorize x^(n)-1 into the product of irreducible factors over a finite field.Beyond the realm of theoretical needs,the availability of coefficients of irreducible factors over finite fields is also very important for applications.In this paper,we introduce second order linear recurring sequences in F_(q) and reformulate the explicit factorization of x^(2nd)-1 over in such a way that the coefficients of its irreducible factors can be determined from these sequences when d is an odd divisor of q+1.
文摘Venezuela-Colombia diplomatic disputes draw attention to Latin America’s struggle for solidarity The diplomatic dispute between Colombia and Venezuela ended when the presidents of the two nations met in Santa Marta,Colombia,on August 10.
文摘BACKGROUND Forehead osteoma is a commonly encountered benign facial bone tumor.Endoscopic excision of benign forehead masses is widely performed.Here,we report a rare case of recurrent forehead osteoma that disseminated after a previous osteoma excision.CASE SUMMARY A 54-year-old female patient had previously undergone endoscopic removal of a single forehead osteoma at 30 years of age.However,she had a recurrent osteoma around the same site and underwent another endoscopic resection at 40 years of age.During her first visit to our outpatient clinic,she presented with a cobblestone-like irregular surface on the forehead and a 3D facial bone computed tomography scan revealed a widely ragged surface of the inoculated osteoma on the outer table of the frontal bone.Under general anesthesia,we performed a radical complete excision of the disseminated osteoma through a bicoronal incision using an osteotome,chisel,mallet,and rasping.We hypothesized that the recurrence may have been caused by the inoculation of residual osteoma remnants from the previous procedure.Craniofacial surgeons should be cautious when removing osteoma particles,particularly when using an endoscopic approach.CONCLUSION To prevent recurrence,it is essential to conduct additional meticulous burring and a thorough inspection of the surface after copious irrigation.
基金The work is supported by the Special Fund of National Excellently Doctoral Paper and HAIPURT.
文摘The linear complexity of a new kind of keystream sequences.FCSR sequences,is discussed by use of the properties of cyclotomic polynomials.Based on the results of C.Seo's,an upper bound and a lower bound on the linear complexity of a significant kind of FCSR sequences—l-sequences are presented.
