The ultrastructure of the X organ sinus gland complex in sexually immature Chinese mitten crab Eriocheir sinensis was examined under the electron microscope. The sinus gland (SG) is composed primarily of nerve te...The ultrastructure of the X organ sinus gland complex in sexually immature Chinese mitten crab Eriocheir sinensis was examined under the electron microscope. The sinus gland (SG) is composed primarily of nerve terminals and glial cells. The terminal contains a great number of membrane bound granules, mitochondria, rough endoplasmic reticulum and electron lucent vesicles. The profiles of the terminals are sometimes exhibited finger like projections. The X organ (XO) locates at the ventral surface of the medulla terminalis ganglion in the eyestalk, oppositing to SG. According to the features of granule size, shape, electron density and cytoplasm, 6 types of terminals in SG and 7 types of neurosecretory (NS) cells in XO were identified. The release process by exocytosis of the granules in SG was observed and a tentative comparison was made for the granules between different types of terminals and NS cells. It seemed that they had a good correspondence since no change in electron density and just a slight increase of sizes was shown.展开更多
The complete space-like hypersurfaces with constant normal saclar curvature is discussed in a locally symmetric Lorentz space. A classified theorem is obtained by the operator L1 introduced by S Y Cheng and S T Yau [3].
The article is an attempt to compile the results of CFD liquid flow simulation through pipeline section containing hydraulic elbow with the results of ultrasonic flow measurements. To carry out the measurements behind...The article is an attempt to compile the results of CFD liquid flow simulation through pipeline section containing hydraulic elbow with the results of ultrasonic flow measurements. To carry out the measurements behind the flow disturbing element(hydraulic elbow), an ultrasonic flowmeter with applied head set in accordance with the Z-type system was used. For comparative purposes, a flow simulation for 3 different turbulence models(k-epsilon, SST and SSG) was performed. It was found that with a proper ultrasonic flowmeter heads configurations, it is possible to measure the flow rate disturbed by the hydraulic elbow at any distance from the source of the disturbance. It has to use appropriate correction factor that can be determined by knowing the flow velocity profile equation. Based on comparison of CFD simulation results with experimental data, the accuracy/purposefulness of using individual turbulence models in the case of discussed hydraulic installation was evaluated.展开更多
We study the differential equations w2＋ R（z）（w（k））2 = Q（z）, where R（z）, Q（z） are nonzero rationalfunctions. We prove （1） if the differential equation w2 ＋R（z）（w＇）2= Q（z）, where R（z）, Q（z） ar...We study the differential equations w2＋ R（z）（w（k））2 = Q（z）, where R（z）, Q（z） are nonzero rationalfunctions. We prove （1） if the differential equation w2 ＋R（z）（w＇）2= Q（z）, where R（z）, Q（z） are nonzero rational functions, admits a transcendental meromorphic solution f, then Q= C （constant）, the multiplicities of the zeros of R（z） are no greater than 2 and f（z） = √C cos α（z）, where α（z） is a primitive of 1 such that √C cos α（z） is a transcendental meromorphic function. （2） if the differential equation w2 ＋ R（z）（w（k））2 = Q（z）, where k ≥ 2 is an integer and R, Q are nonzero rational functions, admits a transcendental meromorphic solution f, then k is an odd integer, Q ≡ C （constant）, It（z） ≡ A （constant） and f（z） = √C cos（az ＋ b）, where a2k = A1/A.展开更多
文摘有关组合和式的Dwork类型超同余式的研究,一直是组合学与数论学中的一个有意义的课题。本文主要研究孙智伟提出的关于g n(-1)和式的Dwork类型超同余式的特殊情况:设p为奇素数且r 2为正整数,有∑p r-1 k=0 g k(-1)≡(-1 p)∑p r-1-1 k=0 g k(-1)(mod p r+1),这里Legendre符号为(.)。证明的关键是利用分拆方法,Jacobsthal二项式同余式和有关调和数的同余性质。
文摘The ultrastructure of the X organ sinus gland complex in sexually immature Chinese mitten crab Eriocheir sinensis was examined under the electron microscope. The sinus gland (SG) is composed primarily of nerve terminals and glial cells. The terminal contains a great number of membrane bound granules, mitochondria, rough endoplasmic reticulum and electron lucent vesicles. The profiles of the terminals are sometimes exhibited finger like projections. The X organ (XO) locates at the ventral surface of the medulla terminalis ganglion in the eyestalk, oppositing to SG. According to the features of granule size, shape, electron density and cytoplasm, 6 types of terminals in SG and 7 types of neurosecretory (NS) cells in XO were identified. The release process by exocytosis of the granules in SG was observed and a tentative comparison was made for the granules between different types of terminals and NS cells. It seemed that they had a good correspondence since no change in electron density and just a slight increase of sizes was shown.
基金Supported by the National Natural Science Science Foundation of China（10671056） Acknowledgements couragement and numerous this paper. The authors are grateful to Professor Xu Guang-shan for his envaluable suggestions on the improvement of the original draft of
文摘We prove the transcendence for the values of Mahler type function with several variables, which satisfies some non-linear functional equation.
基金Supported the NSF of the Education Department of Jiangsu Province(04KJD110192)
文摘The complete space-like hypersurfaces with constant normal saclar curvature is discussed in a locally symmetric Lorentz space. A classified theorem is obtained by the operator L1 introduced by S Y Cheng and S T Yau [3].
文摘The article is an attempt to compile the results of CFD liquid flow simulation through pipeline section containing hydraulic elbow with the results of ultrasonic flow measurements. To carry out the measurements behind the flow disturbing element(hydraulic elbow), an ultrasonic flowmeter with applied head set in accordance with the Z-type system was used. For comparative purposes, a flow simulation for 3 different turbulence models(k-epsilon, SST and SSG) was performed. It was found that with a proper ultrasonic flowmeter heads configurations, it is possible to measure the flow rate disturbed by the hydraulic elbow at any distance from the source of the disturbance. It has to use appropriate correction factor that can be determined by knowing the flow velocity profile equation. Based on comparison of CFD simulation results with experimental data, the accuracy/purposefulness of using individual turbulence models in the case of discussed hydraulic installation was evaluated.
基金supported by National Natural Science Foundation of China(Grant Nos.10871011 and 11271179)
文摘We study the differential equations w2＋ R（z）（w（k））2 = Q（z）, where R（z）, Q（z） are nonzero rationalfunctions. We prove （1） if the differential equation w2 ＋R（z）（w＇）2= Q（z）, where R（z）, Q（z） are nonzero rational functions, admits a transcendental meromorphic solution f, then Q= C （constant）, the multiplicities of the zeros of R（z） are no greater than 2 and f（z） = √C cos α（z）, where α（z） is a primitive of 1 such that √C cos α（z） is a transcendental meromorphic function. （2） if the differential equation w2 ＋ R（z）（w（k））2 = Q（z）, where k ≥ 2 is an integer and R, Q are nonzero rational functions, admits a transcendental meromorphic solution f, then k is an odd integer, Q ≡ C （constant）, It（z） ≡ A （constant） and f（z） = √C cos（az ＋ b）, where a2k = A1/A.
