Chinese shares edged down at the closing of the morning trade secession on January 25. The benchmark Shanghai Composite Index declined 0.66 percent, or 20.8 points, to close at 3,107.79 points. The Shenzhen Component ...Chinese shares edged down at the closing of the morning trade secession on January 25. The benchmark Shanghai Composite Index declined 0.66 percent, or 20.8 points, to close at 3,107.79 points. The Shenzhen Component Index declined 0.57 percent, or 71.66 points, to close at 12,524.28 points.展开更多
Chinese shares edged down at the closing of the morning trade secession on January 25. The benchmark Shanghai Composite Index declined 0.66 percent, or 20.8 points, to close at 3,107.79 points. The Shenzhen Component ...Chinese shares edged down at the closing of the morning trade secession on January 25. The benchmark Shanghai Composite Index declined 0.66 percent, or 20.8 points, to close at 3,107.79 points. The Shenzhen Component Index declined 0.57 percent, or 71.66 points, to close at 12,524.28 points.展开更多
The paper critically examines and refutes some of the standard arguments against Pascal＇s Wager, particularly, the ＂Many Gods Objection＂. The paper argues that Pascal＇s philosophical and theological opponents proc...The paper critically examines and refutes some of the standard arguments against Pascal＇s Wager, particularly, the ＂Many Gods Objection＂. The paper argues that Pascal＇s philosophical and theological opponents proceed far too quickly in dismissing his argument as implausible. Their determined attempts to tear down Pascal＇s Wager have caused them to miss its power and force. While the Wager may not be sound for today＇s multi culturally sophisticated audience, the Wager is quite cogent relative to Pascal＇s time, when theism and agnosticism were the only genuine possibilities. Thus, the paper concludes that Pascal＇s Wager is less vulnerable than most detractors seem to think.展开更多
Einstein claimed that one cannot de？ne global time, and proposed de？ning local time additionally. Such approach was adopted also by E. Cartan, in which fermions are described by spinors with 16 bases and interact wi...Einstein claimed that one cannot de？ne global time, and proposed de？ning local time additionally. Such approach was adopted also by E. Cartan, in which fermions are described by spinors with 16 bases and interact with vectors with 8 bases, that consists of a couple of 4 dimensional vectors xi （i = 1, …, 4） and xi （i = 1, …,4）. In Cartan’s theory, spinors and vectors transform by super symmetric transformations G23, G12, G13, G123 and G132 and bases of fermion spinors consist of ξ0,ξi （i = 1, ···, 4）, ξ1234, ξ234, ξ134, ξ124, ξ123 and ξi,j （i /= j ∈{1,2,3,4}）. Except G23, the transformations mix spinors and vectors, and operations of G23 on spinors contain G23 ξ4 = ξ0 and G23 ξ123 = ξ1234, and operations of G23 on vectors contain G23x4 = ？x4＇ and G23 x4＇= ？x4. Therefore, there are 14 independent spinor bases and 7 independent vector bases, which corresponds to the number of bases of the G2 symmetry. From the bases of non-commutative geometry, Connes took two ？bers from a point of S3 basis, and on top of ？bers allowed two times propagate following von Neumann algebra, but evolution of the system was assumed to be de？ned by one-parameter group of transformation.Steenrod stated that the S7 symmetry can be regarded as S3 symmetry covered over S4 symmetry, which allows decomposition of S7 × R8 → （S3 × R4） × （S3 × R4）. We assume there is a space-time representation by an algebra C（V） of smooth function and matrix algebra Mnand transformations A are expressed as A = C（V ） Mn. In order to make total momentum space to remain 4 dimensional, the group of A becomes SO（3 ＋ n^2 -1,1）-SO（3,1） × SOn^2-1 in Minkowski space. We choose n = 3 and construct SO8 on R8 ？ R4,4. We apply this model to understanding experimentally observed CP violation in pp→ tt or bb and in pp → （H →bb） ＋ ll ＋jets and Time Reversal Based Nonlinear Elastic Wave Spectroscopy （TR-NEWS） method.展开更多
文摘Chinese shares edged down at the closing of the morning trade secession on January 25. The benchmark Shanghai Composite Index declined 0.66 percent, or 20.8 points, to close at 3,107.79 points. The Shenzhen Component Index declined 0.57 percent, or 71.66 points, to close at 12,524.28 points.
文摘Chinese shares edged down at the closing of the morning trade secession on January 25. The benchmark Shanghai Composite Index declined 0.66 percent, or 20.8 points, to close at 3,107.79 points. The Shenzhen Component Index declined 0.57 percent, or 71.66 points, to close at 12,524.28 points.
文摘The paper critically examines and refutes some of the standard arguments against Pascal＇s Wager, particularly, the ＂Many Gods Objection＂. The paper argues that Pascal＇s philosophical and theological opponents proceed far too quickly in dismissing his argument as implausible. Their determined attempts to tear down Pascal＇s Wager have caused them to miss its power and force. While the Wager may not be sound for today＇s multi culturally sophisticated audience, the Wager is quite cogent relative to Pascal＇s time, when theism and agnosticism were the only genuine possibilities. Thus, the paper concludes that Pascal＇s Wager is less vulnerable than most detractors seem to think.
文摘Einstein claimed that one cannot de？ne global time, and proposed de？ning local time additionally. Such approach was adopted also by E. Cartan, in which fermions are described by spinors with 16 bases and interact with vectors with 8 bases, that consists of a couple of 4 dimensional vectors xi （i = 1, …, 4） and xi （i = 1, …,4）. In Cartan’s theory, spinors and vectors transform by super symmetric transformations G23, G12, G13, G123 and G132 and bases of fermion spinors consist of ξ0,ξi （i = 1, ···, 4）, ξ1234, ξ234, ξ134, ξ124, ξ123 and ξi,j （i /= j ∈{1,2,3,4}）. Except G23, the transformations mix spinors and vectors, and operations of G23 on spinors contain G23 ξ4 = ξ0 and G23 ξ123 = ξ1234, and operations of G23 on vectors contain G23x4 = ？x4＇ and G23 x4＇= ？x4. Therefore, there are 14 independent spinor bases and 7 independent vector bases, which corresponds to the number of bases of the G2 symmetry. From the bases of non-commutative geometry, Connes took two ？bers from a point of S3 basis, and on top of ？bers allowed two times propagate following von Neumann algebra, but evolution of the system was assumed to be de？ned by one-parameter group of transformation.Steenrod stated that the S7 symmetry can be regarded as S3 symmetry covered over S4 symmetry, which allows decomposition of S7 × R8 → （S3 × R4） × （S3 × R4）. We assume there is a space-time representation by an algebra C（V） of smooth function and matrix algebra Mnand transformations A are expressed as A = C（V ） Mn. In order to make total momentum space to remain 4 dimensional, the group of A becomes SO（3 ＋ n^2 -1,1）-SO（3,1） × SOn^2-1 in Minkowski space. We choose n = 3 and construct SO8 on R8 ？ R4,4. We apply this model to understanding experimentally observed CP violation in pp→ tt or bb and in pp → （H →bb） ＋ ll ＋jets and Time Reversal Based Nonlinear Elastic Wave Spectroscopy （TR-NEWS） method.
