This paper is a review, a thesis, of some interesting results that have been obtained in various research concerning the “brane collisions in string and M-theory” (Cyclic Universe), p-adic inflation and p-adic cosmo...This paper is a review, a thesis, of some interesting results that have been obtained in various research concerning the “brane collisions in string and M-theory” (Cyclic Universe), p-adic inflation and p-adic cosmology. In Section 2, we have described some equations concerning cosmic evolution in a Cyclic Universe. In Section 3, we have described some equations concerning the cosmological perturbations in a Big Crunch/Big Bang space-time, the M-theory model of a Big Crunch/Big Bang transition and some equations concerning the solution of a braneworld Big Crunch/Big Bang Cosmology. In Section 4, we have described some equations concerning the generating ekpyrotic curvature perturbations before the Big Bang, some equations concerning the effective five-dimensional theory of the strongly coupled heterotic string as a gauged version of N=1five-dimensional supergravity with four-dimensional boundaries, and some equations concerning the colliding branes and the origin of the Hot Big Bang. In Section 5, we have described some equations regarding the “null energy condition” violation concerning the inflationary models and some equations concerning the evolution to a smooth universe in an ekpyrotic contracting phase with w>1. In Section 6, we have described some equations concerning the approximate inflationary solutions rolling away from the unstable maximum of p-adic string theory. In Section 7, we have described various equations concerning the p-adic minisuperspace model, zeta strings, zeta nonlocal scalar fields and p-adic and adelic quantum cosmology. In Section 8, we have shown various and interesting mathematical connections between some equations concerning the p-adic inflation, the p-adic quantum cosmology, the zeta strings and the brane collisions in string and M-theory. Furthermore, in each section, we have shown the mathematical connections with various sectors of Number Theory, principally the Ramanujan’s modular equations, the Aurea Ratio and the Fibonacci’s numbers.展开更多
Let G be the semidirect product A1 ■ A of the adeles and the norm 1 ideles of a global field k. Let г be the discrete subgroup kx ■ k. In this paper the trace formula for this setting is established and used to giv...Let G be the semidirect product A1 ■ A of the adeles and the norm 1 ideles of a global field k. Let г be the discrete subgroup kx ■ k. In this paper the trace formula for this setting is established and used to give the complete decomposition of the G-representation on L2(г\G). It turns out that every character of the norm-1 idele class group gives a one dimensional isotype and the complement of those consists of one irreducible representation.展开更多
Introduction: The main signs and symptoms of ankyloglossia with deviation of the epiglottis and larynx (ADEL) are sleep disorders caused by respiratory restraint. The author contrived the surgical procedure of correct...Introduction: The main signs and symptoms of ankyloglossia with deviation of the epiglottis and larynx (ADEL) are sleep disorders caused by respiratory restraint. The author contrived the surgical procedure of correction of the glosso-larynx (CGL) and expansion of the vestibular oris (EVO) for the cure of ADEL. CGL increases vital capacity (VC) and forced expiratory volume in 1 second (1% FEV). EVO reduces nasal airflow resistance. The most important component of nasal airflow resistance is the nasal valve. Purpose: Our purpose was to measure how wide the nares were dilated after EVO. Method: The width of the nares, height of the nose, length of the philtrum and width of the lip were measured in patients who had signs and symptoms of ADEL, before and after EVO. Result: Significant increases were observed in the width of the nares, height of the nose and length of the lip after EVO. Conclusion: This study confirmed that the nares dilate after EVO. Not only the amelioration of nasal respiration by EVO increases immunity, but also aesthetic effects are obtained after EVO.展开更多
Weights of curetted adenoid were measured and were compared with both weights of tonsils and the rate of adenoidectomy among the tonsillectomized cases. This study included 603 patients whose adenoids were curetted du...Weights of curetted adenoid were measured and were compared with both weights of tonsils and the rate of adenoidectomy among the tonsillectomized cases. This study included 603 patients whose adenoids were curetted during the 11-year period. 90% of patients were 2 to 9 years old. The rate of curetted adenoid vegetation among the tonsillec-tomized cases was 80% among patients from 1 to 6 years old and 70% among patients of 7 and 8 years old. The rate remarkably decreased from 9 years of age. The average weight of the curetted adenoids in each age group ranged from 0.7 g to 1.9 g. There was no statistical correlation in the distribution of the average weight of the curetted adenoids between males and females as well as between the weight of the tonsils and the weight of the curetted adenoids. A hypothesis on the cause of adenoid hypertrophy was presented in this study.展开更多
I have reached the conclusion that the human nose might be involved in cooling of the brain. In this report, I first describe the clinical observations about ankyloglossia with deviation of the epiglottis and larynx (...I have reached the conclusion that the human nose might be involved in cooling of the brain. In this report, I first describe the clinical observations about ankyloglossia with deviation of the epiglottis and larynx (ADEL) with regard to sleep that I have made during my 30 years of otorhino-laryngological experience. Then I describe the physiology of the nose. Next I quote from reports on paradoxical sleep, or REM sleep, from Kitamura K (2009) and Jouvet M (1992). Finally, I present the conclusion that nasal respiration is indispensable to a deep and sound sleep that refreshes humans and promotes vitality.展开更多
文摘This paper is a review, a thesis, of some interesting results that have been obtained in various research concerning the “brane collisions in string and M-theory” (Cyclic Universe), p-adic inflation and p-adic cosmology. In Section 2, we have described some equations concerning cosmic evolution in a Cyclic Universe. In Section 3, we have described some equations concerning the cosmological perturbations in a Big Crunch/Big Bang space-time, the M-theory model of a Big Crunch/Big Bang transition and some equations concerning the solution of a braneworld Big Crunch/Big Bang Cosmology. In Section 4, we have described some equations concerning the generating ekpyrotic curvature perturbations before the Big Bang, some equations concerning the effective five-dimensional theory of the strongly coupled heterotic string as a gauged version of N=1five-dimensional supergravity with four-dimensional boundaries, and some equations concerning the colliding branes and the origin of the Hot Big Bang. In Section 5, we have described some equations regarding the “null energy condition” violation concerning the inflationary models and some equations concerning the evolution to a smooth universe in an ekpyrotic contracting phase with w>1. In Section 6, we have described some equations concerning the approximate inflationary solutions rolling away from the unstable maximum of p-adic string theory. In Section 7, we have described various equations concerning the p-adic minisuperspace model, zeta strings, zeta nonlocal scalar fields and p-adic and adelic quantum cosmology. In Section 8, we have shown various and interesting mathematical connections between some equations concerning the p-adic inflation, the p-adic quantum cosmology, the zeta strings and the brane collisions in string and M-theory. Furthermore, in each section, we have shown the mathematical connections with various sectors of Number Theory, principally the Ramanujan’s modular equations, the Aurea Ratio and the Fibonacci’s numbers.
文摘Let G be the semidirect product A1 ■ A of the adeles and the norm 1 ideles of a global field k. Let г be the discrete subgroup kx ■ k. In this paper the trace formula for this setting is established and used to give the complete decomposition of the G-representation on L2(г\G). It turns out that every character of the norm-1 idele class group gives a one dimensional isotype and the complement of those consists of one irreducible representation.
文摘Introduction: The main signs and symptoms of ankyloglossia with deviation of the epiglottis and larynx (ADEL) are sleep disorders caused by respiratory restraint. The author contrived the surgical procedure of correction of the glosso-larynx (CGL) and expansion of the vestibular oris (EVO) for the cure of ADEL. CGL increases vital capacity (VC) and forced expiratory volume in 1 second (1% FEV). EVO reduces nasal airflow resistance. The most important component of nasal airflow resistance is the nasal valve. Purpose: Our purpose was to measure how wide the nares were dilated after EVO. Method: The width of the nares, height of the nose, length of the philtrum and width of the lip were measured in patients who had signs and symptoms of ADEL, before and after EVO. Result: Significant increases were observed in the width of the nares, height of the nose and length of the lip after EVO. Conclusion: This study confirmed that the nares dilate after EVO. Not only the amelioration of nasal respiration by EVO increases immunity, but also aesthetic effects are obtained after EVO.
文摘Weights of curetted adenoid were measured and were compared with both weights of tonsils and the rate of adenoidectomy among the tonsillectomized cases. This study included 603 patients whose adenoids were curetted during the 11-year period. 90% of patients were 2 to 9 years old. The rate of curetted adenoid vegetation among the tonsillec-tomized cases was 80% among patients from 1 to 6 years old and 70% among patients of 7 and 8 years old. The rate remarkably decreased from 9 years of age. The average weight of the curetted adenoids in each age group ranged from 0.7 g to 1.9 g. There was no statistical correlation in the distribution of the average weight of the curetted adenoids between males and females as well as between the weight of the tonsils and the weight of the curetted adenoids. A hypothesis on the cause of adenoid hypertrophy was presented in this study.
文摘I have reached the conclusion that the human nose might be involved in cooling of the brain. In this report, I first describe the clinical observations about ankyloglossia with deviation of the epiglottis and larynx (ADEL) with regard to sleep that I have made during my 30 years of otorhino-laryngological experience. Then I describe the physiology of the nose. Next I quote from reports on paradoxical sleep, or REM sleep, from Kitamura K (2009) and Jouvet M (1992). Finally, I present the conclusion that nasal respiration is indispensable to a deep and sound sleep that refreshes humans and promotes vitality.
