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基于共角条件的摄影测量严密平差方法
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作者 王晏民 《冶金测绘》 CSCD 1993年第1期8-17,共10页
本文利用摄影测量中的共角条件导出了严密平差的函数模型,给出了计算平差必要条件数的公式,提出了两种直接列出最大独立共角条件方程的方法——“扇形法”和“王冠法”,从而解决了找独立条件难的问题。然后对利用“王冠法”得到的条件... 本文利用摄影测量中的共角条件导出了严密平差的函数模型,给出了计算平差必要条件数的公式,提出了两种直接列出最大独立共角条件方程的方法——“扇形法”和“王冠法”,从而解决了找独立条件难的问题。然后对利用“王冠法”得到的条件方程进行条件转换,得到了便于实用的参数平差模型,从而解决了条件平差计算工作量大和不利于质量分析的困难,并以一个典型网为例讨论了该方法的法方程矩阵结构,通过编程计算验证了该平差法的正确性和可行性。 展开更多
关键词 摄影测量平差 方法 共角条件 王冠法 条件转换
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共角定理介绍及其应用
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作者 许润芝 《数理天地(初中版)》 2022年第8期9-10,共2页
几何是初中数学的重要组成部分,目前初中数学教材中的几何体系主要围绕几何图形的边、角关系进行推理与解题,学生普遍存在“定理易懂解题难”的问题,对几何问题难以把握实质,张景中院士在《从数学教育到教育数学》中打造了围绕面积法的... 几何是初中数学的重要组成部分,目前初中数学教材中的几何体系主要围绕几何图形的边、角关系进行推理与解题,学生普遍存在“定理易懂解题难”的问题,对几何问题难以把握实质,张景中院士在《从数学教育到教育数学》中打造了围绕面积法的几何知识新体系,致力于通过再创造改造数学,通过数学化的方法还原几何本质,本文针对书中的共角定理进行展开,着重介绍其在解题方面的应用及定理推广. 展开更多
关键词 初中数学 共角定理 解题方法
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共边共角的相似三角形
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作者 陆学亮 《初中数语外辅导》 2003年第5期11-11,共1页
关键词 共角 相似三 几何 初中 数学
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角联锁结构中经纬纱排列的数字表达及其规律 被引量:2
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作者 许鹤 唐予远 +1 位作者 马菲 陈彩虹 《纺织学报》 EI CAS CSCD 北大核心 2015年第10期29-32,共4页
为简便快速地设计复杂的角联锁结构,对该结构进行描述与分析,发现其经纱浮沉存在一定的规律性,即只需给出第1根经纱在每列纬纱中的纬浮点个数就可获得其结构图。利用此规律,提出一种简单有效的方法设计不同的角联锁结构。这种方法是通... 为简便快速地设计复杂的角联锁结构,对该结构进行描述与分析,发现其经纱浮沉存在一定的规律性,即只需给出第1根经纱在每列纬纱中的纬浮点个数就可获得其结构图。利用此规律,提出一种简单有效的方法设计不同的角联锁结构。这种方法是通过数字排列来设计多层角联锁结构示意图。并分析了其需满足的基本条件,进而得出n层实口角联锁有2n-2种设计方法。在实口角联锁结构设计方法的基础上,得到空口角联锁结构与共纬角联锁结构的设计方法。实践证明,这种方法借助于CAD绘图软件使复杂的角联锁结构设计变得简单快捷。 展开更多
关键词 联锁结构 组织循环 数字排列 联锁结构 空口联锁结构
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Effect of Ti addition on microstructure and mechanical properties of Zn-22Al alloy after ECAP
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作者 AZAD Bahram EIVANI Ali Reza SALEHI Mohammad Taghi 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第10期3703-3714,共12页
The effect of Ti addition on microstructure and mechanical properties of Zn-22Al eutectoid alloy with 0.15 wt%Ti was investigated.It was observed that the presence of Ti changes the morphology of n phase in the alloy.... The effect of Ti addition on microstructure and mechanical properties of Zn-22Al eutectoid alloy with 0.15 wt%Ti was investigated.It was observed that the presence of Ti changes the morphology of n phase in the alloy.Addition of Ti to Zn-Al alloy caused the formation of Ti(Zn,Al)_(3);phase.Before applying equal channel angular pressing(ECAP),two times of homogenization treatment were conducted on the alloy.After secondary homogenization,the microstructure consisted of a homogeneous and fine mixture ofαand n phases and the as-cast lamellar structure removed.After homogenization,ECAP was carried out on Ti-containing Zn-22Al alloy.The fraction of high angle grain boundaries increased with increasing the number of ECAP passes.The average grain size reduced from 930 nm after secondary homogenization to 380 nm after 8 passes of ECAP.The texture of the alloy also changed by applying ECAP.Maximum elongation to failure of the homogenized alloy was 135%at a strain rate of 10^(-5)s^(-1)which enhanced to a maximum of 405%at a strain rate of 10^(-3)s^(-1)after 8 passes of ECAP.It was also observed that by conducting ECAP and increasing the number of passes the hardness decreases,which indicates work-softening behavior due to dynamic recovery/recrystallization. 展开更多
关键词 Zn-Al eutectoid alloy Zn-Al-Ti alloy ECAP process microstructure evolution mechanical properties
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Amplitude preserved VSP reverse time migration for angle-domain CIGs extraction 被引量:2
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作者 孙文博 孙赞东 朱兴卉 《Applied Geophysics》 SCIE CSCD 2011年第2期141-149,177,178,共11页
An improved method of generating angle-domain common-image gathers(ADCIGs) by VSP reverse time migration(RTM) is introduced in this paper.The formula which is used to compute the receiver wavefield for VSP RTM is ... An improved method of generating angle-domain common-image gathers(ADCIGs) by VSP reverse time migration(RTM) is introduced in this paper.The formula which is used to compute the receiver wavefield for VSP RTM is modified by adding an amplitude correction term in order to conveniently output amplitude-preserved ADCIGs.Compared with the surface seismic data,VSP data contains much richer wavefields.However,the direct and downgoing waves can bring about serious imaging artifacts in ADCIGs,especially the direct wave.The feasibility and validity of this method is demonstrated by both numerical and real VSP data from western China.Thus,the ADCIGs from this method can provide reliable basic data for VSP migration velocity analysis,VSP AVO/AVA analysis,and inversion. 展开更多
关键词 VSP reverse time migration angle-domain common-image gathers(ADCIGs) amplitude preservation
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Residual curvature migration velocity analysis for angle domain common imaging gathers 被引量:9
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作者 张凯 李振春 +1 位作者 曾同生 董晓春 《Applied Geophysics》 SCIE CSCD 2010年第1期49-56,99,共9页
Pre-stack depth migration velocity analysis is one of the keys to influencing the imaging quality of pre-stack migration.In this paper we cover a residual curvature velocity analysis method on angle-domain common imag... Pre-stack depth migration velocity analysis is one of the keys to influencing the imaging quality of pre-stack migration.In this paper we cover a residual curvature velocity analysis method on angle-domain common image gathers(ADCIGs) which can depict the relationship between incident angle and migration depth at imaging points and update the migration velocity.Differing from offset-domain common image gathers(ODCIGs),ADCIGs are not disturbed by the multi-path problem which contributes to imaging artifacts,thus influencing the velocity analysis.On the basis of horizontal layers,we derive the residual depth equation and also propose a velocity analysis workflow for velocity scanning.The tests to synthetic and field data prove the velocity analysis methods adopted in this paper are robust and valid. 展开更多
关键词 pre-stack depth migration velocity analysis ADCIGs residual depth equation velocity scanning
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Tomographic velocity inversion for ADCIGs in areas with a rugged surface 被引量:2
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作者 张凯 李振春 +2 位作者 曾同生 秦宁 姚云霞 《Applied Geophysics》 SCIE CSCD 2012年第3期313-318,361,共7页
Pre-stack depth migration velocity analysis is one of the key techniques influencing image quality. As for areas with a rugged surface and complex subsurface, conventional prestack depth migration velocity analysis co... Pre-stack depth migration velocity analysis is one of the key techniques influencing image quality. As for areas with a rugged surface and complex subsurface, conventional prestack depth migration velocity analysis corrects the rugged surface to a known datum or designed surface velocity model on which to perform migration and update the velocity. We propose a rugged surface tomographic velocity inversion method based on angle-domain common image gathers by which the velocity field can be updated directly from the rugged surface without static correction for pre-stack data and improve inversion precision and efficiency. First, we introduce a method to acquire angle-domain common image gathers (ADCIGs) in rugged surface areas and then perform rugged surface tornographic velocity inversion. Tests with model and field data prove the method to be correct and effective. 展开更多
关键词 Rugged surface angle-domain common image gathers tomographic inversion velocity modeling
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蝴蝶定理衍化与统一处理 被引量:1
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作者 龙瑶 陈灿 《数学教学通讯(教师阅读)》 1993年第6期28-29,27,共3页
蝴蝶定理,这个产生于1815年“男士日记”上的问题,横跨两世纪,经历了178年,各种衍化形态和不同的证明方法已不下十数种,各种衍化和证法还在不断翻新,我们在这里对部分衍化蝴蝶定理仅用初中几何知识(主要用“共角定理”),通过面积证法进... 蝴蝶定理,这个产生于1815年“男士日记”上的问题,横跨两世纪,经历了178年,各种衍化形态和不同的证明方法已不下十数种,各种衍化和证法还在不断翻新,我们在这里对部分衍化蝴蝶定理仅用初中几何知识(主要用“共角定理”),通过面积证法进行统一处理,这样的处理来得简洁明了,易于掌握。 (下面证明过程中△ABC表示三角形的面积)。命题1(蝴蝶定理)设AB是圆O的一条弦,过AB的中点M,作两条弦CD和EF,设ED。 展开更多
关键词 蝴蝶定理 证明方法 证法 共角定理 证明过程 几何知识 母云 西石 万户 五并
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用面积法证明几何题
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作者 沈春芳 《数学教学研究》 1993年第3期25-27,共3页
在几何中证明线共点和点共线,线段成比例和求线段的比值等一类问题,通常是借助三角形的全等或相似或用透视理论完成的,证明方法多,似乎较繁琐。本文引入两个基本定理——共边比例定理和共角比例定理,并以此为基本工具来完成上述一类几... 在几何中证明线共点和点共线,线段成比例和求线段的比值等一类问题,通常是借助三角形的全等或相似或用透视理论完成的,证明方法多,似乎较繁琐。本文引入两个基本定理——共边比例定理和共角比例定理,并以此为基本工具来完成上述一类几何问题的证明。这种新的初等证明法与常规的传统证明法相比,显得新颖、简捷、易于接受和掌握。如果△ABP与△ABQ有一条公共边AB,便称它们是一对共边三角形。 展开更多
关键词 共角比例定理 证明法 基本定理 证明方法 成比例 线 面积法 对应边 梅涅劳斯定理
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Kirchhoff PSDM angle-gather generation based on the traveltime gradient 被引量:1
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作者 刘少勇 王华忠 +2 位作者 刘太臣 胡英 张才 《Applied Geophysics》 SCIE CSCD 2015年第1期64-72,121,122,共11页
Angle-domain common-image gathers(ADCIGs) are the basic data in migration velocity analysis(MVA) and amplitude variation with angle(AVA) analysis. We propose a common-angle gather-generating scheme using Kirchho... Angle-domain common-image gathers(ADCIGs) are the basic data in migration velocity analysis(MVA) and amplitude variation with angle(AVA) analysis. We propose a common-angle gather-generating scheme using Kirchhoff PSDM based on the traveltime gradient field. The scheme includes three major operations:(1) to calculate the traveltime field of the source and the receiver based on the dynamic programming approach;(2) to obtain the refl ection angle according to the traveltime gradient field in the image space; and(3) to generate the ADCIGs during the migration process. Because of the computation approach, the method for generating ADCIGs is superior to conventional ray-based methods. We use the proposed ADCIGs generation method in 3D large-scale seismic data. The key points of the method are the following.(1) We use common-shot datasets for migration,(2) we load traveltimes based on the shot aperture, and(3) we use the MPI and Open Mp memory sharing to decrease the amount of input and output(I/O). Numerical examples using synthetic data suggest that the ADCIGs improve the quality of the velocity and the effectiveness of the 3D angle-gather generation scheme. 展开更多
关键词 ADCIGs Kirchhoff prestack depth migration angle domain common-image gathers migration velocity analysis
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“面积法”引入中学几何课堂
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作者 廖红丽 《中学数学研究(华南师范大学)(下半月)》 2017年第3期27-29,共3页
平面几何是初中数学知识内容中的一个重要组成部分,也是初中数学教学中的一个难点,几何难学已是不争的事实.为了解决这个问题,很多数学教育家前赴后继地研究新的几何学习方法、教学方法,但仍无多大改观.有的数学教育家甚至提出要削减平... 平面几何是初中数学知识内容中的一个重要组成部分,也是初中数学教学中的一个难点,几何难学已是不争的事实.为了解决这个问题,很多数学教育家前赴后继地研究新的几何学习方法、教学方法,但仍无多大改观.有的数学教育家甚至提出要削减平面几何的在初中课本中的分量,这是不可取的.几何是数学学科的一个重要的知识模块,对培养学生的数学推理能力和严谨性思维有着不可替代的作用. 展开更多
关键词 共角比例定理 数学教育家 初中数学教学 面积法 数学推理 知识模块 学习方法 相似三 教学方法 全等三
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再谈欧几里得欠下的一笔老债
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作者 井中 《自然杂志》 1992年第2期128-133,共6页
从几何到三角,再到解析几何,历史上经过了一千多年的历程,逻辑上也需要一系列环节的过渡(甚至革命)。而用面积方法,便能轻而易举地跨越这一千多年的时光,并使原有的一系列逻辑环节成为不再必要的累赘。
关键词 欧几里得 公理系统 边定理 几何基础 面积坐标 加法定理 共角定理 初等几何 托勒密定理 正弦定理
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欧几里德欠下的一笔老债
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作者 井中 《自然杂志》 1992年第1期52-58,共7页
被无数高手名师反复耕耘了两千多年的初等几何园地,似乎已不会有什么新的值得一谈的东西了吧?然而,当代数学教育改革的呼唤,使我们在这个园地中发现了一片新的天地。
关键词 共角定理 欧几里德 全等三 数学教育家 中学数学教育 初等几何 勾股 边定理 数学教育改革 几何教学
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基于波动方程的广义屏叠前深度偏移 被引量:29
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作者 金胜汶 许士勇 吴如山 《地球物理学报》 SCIE EI CAS CSCD 北大核心 2002年第5期684-690,共7页
地震波传播算子的计算效率和精度是制约三维叠前深度偏移的关键因素 .广义屏传播算子 (GSP ,GeneralizedScreenPropagator)是一种在双域中实现的广角单程波传播算子 .这一方法略去了在非均匀体之间发生的交混回响 ,但它可以正确处理包... 地震波传播算子的计算效率和精度是制约三维叠前深度偏移的关键因素 .广义屏传播算子 (GSP ,GeneralizedScreenPropagator)是一种在双域中实现的广角单程波传播算子 .这一方法略去了在非均匀体之间发生的交混回响 ,但它可以正确处理包括聚焦、衍射、折射和干涉在内的各种多次前向散射现象 .通过背景速度下的相移和扰动速度下的陡倾角校正 ,广义屏算子能够适应地层速度的强烈横向变化 .这种算子可以直接应用于炮集叠前偏移 ,通过将广义屏算子作用于双平方根方程 ,还可以获得一种高效率、高精度的炮检距域叠前深度偏移方法 ,用于二维共炮检距道集和三维共方位角道集的深度域成像 .本文首先简述了炮检距域广义屏传播算子的理论 ,进而讨论了共照射角成像 (CAI,CommonAngleImaging)条件 ,由此给出各个不同照射角 (炮检距射线参数 )下的成像结果 ,进而得到共照射角像集 .由于照射角和炮检距的对应关系 ,共照射角像集又为偏移速度分析和AVO(振幅随炮检距变化 )分析等提供了有力工具 . 展开更多
关键词 深度偏移 广义屏传播算子 照射成像 三维 波动方程 地震波
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梯形综合题中的特殊模型构建探究
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作者 何建忠 《数理天地(初中版)》 2022年第18期27-28,共2页
梯形是特殊的几何图形,具有对边平行的特点,在综合探究时基于该特点可以构建特殊模型,利用模型特性来解决复杂问题,下面结合实例具体探究.
关键词 初中数学 梯形 共角
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Near Resonant Electronic and Rotational Energy Transfer AB(^1∏, J)+C(^slj)→AB(^1∏, J')+C(^sl j') 被引量:4
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作者 WANGWei-Li SONGPeng SHENYang MAFeng-Cai 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5期879-885,共7页
In our previous theoretical study, the theoretical model of thecollision-induced electronic and rotational energy transfer of AB(~1Σ, J) + C(~sl_j) → AB(~1Σ,J′) + C(~sl_(j′)) was presented. To further study the c... In our previous theoretical study, the theoretical model of thecollision-induced electronic and rotational energy transfer of AB(~1Σ, J) + C(~sl_j) → AB(~1Σ,J′) + C(~sl_(j′)) was presented. To further study the collision-induced electronic and rotationalenergy transfer theoretically on AB( ~1Π, J) + C(~sl_j) → AB( ~1Π, J′) + C(~sl_(j′)), atheoretical model is presented, based on the time-dependent first-order Born approximation, takinginto account the anisotropic Lennard-Jones interaction potential and 'straight-line' trajectoryapproximation. The changing tendency of the transitional probabilities with the anisotropicparameter is discussed. 展开更多
关键词 quantum interference rotational energy transfer near resonant electronic
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Extraction of P-and S-wave angle-domain common-image gathers based on first-order velocity-dilatation-rotation equations 被引量:1
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作者 Li Kai-Rui He Bing-Shou 《Applied Geophysics》 SCIE CSCD 2020年第1期92-102,169,共12页
Accuracy of angle-domain common-image gathers(ADCIGs)is the key to multiwave AVA inversion and migration velocity analysis,and of which Poynting vectors of pure P-and S-wave are the decisive factors in obtaining multi... Accuracy of angle-domain common-image gathers(ADCIGs)is the key to multiwave AVA inversion and migration velocity analysis,and of which Poynting vectors of pure P-and S-wave are the decisive factors in obtaining multi-component seismic data ADCIGs.A Poynting vector can be obtained from conventional velocity-stress elastic wave equations,but it focused on the propagation direction of mixed P-and S-wave fields,and neither on the propagation direction of the P-wave nor the direction of the S-wave.The Poynting vectors of pure P-or pure S-wave can be calculated from first-order velocity-dilatation-rotation equations.This study presents a method of extracting ADCIGs based on first order velocitydilatation-rotation elastic wave equations reverse-time migration algorithm.The method is as follows:calculating the pure P-wave Poynting vector of source and receiver wavefields by multiplication of P-wave particle-velocity vector and dilatation scalar,calculating the pure S-wave Poynting vector by vector multiplying S-wave particle-velocity vector and rotation vector,selecting the Poynting vector at the time of maximum P-wave energy of source wavefield as the propagation direction of incident P-wave,and obtaining the reflected P-wave(or converted S-wave)propagation direction of the receiver wavefield by the Poynting vector at the time of maximum P-(S-)wave energy in each grid point.Then,the P-wave incident angle is computed by the two propagation directions.Thus,the P-and S-wave ADGICs can obtained Numerical tests show that the proposed method can accurately compute the propagation direction and incident angle of the source and receiver wavefields,thereby achieving high-precision extraction of P-and S-wave ADGICs. 展开更多
关键词 first-order velocity-dilatation-rotation equations RTM Poynting vector ADCIGs
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Characterization of Humic Fractions in a ^(15)N-labelled Soil by Solid-State ^(13)C and ^(15)N NMR 被引量:4
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作者 CHENG LILI, WEN QIXIAO and CHEN BIYUN Institute of Soil Science, the Chinese Academy of Sciences, Nanjing 210008 (China) 《Pedosphere》 SCIE CAS CSCD 2001年第2期151-157,共7页
Five humic fractions were obtained from a uniformly 15N-labelled soil by extraction with 0.1 mol L-1 Na4P207, 0.1 mol L-1 NaOH, and HF/HCI-0.1 mol L-1 NaOH, consecutively, and analyzed by 13C and 15N CPMAS NMR (cross ... Five humic fractions were obtained from a uniformly 15N-labelled soil by extraction with 0.1 mol L-1 Na4P207, 0.1 mol L-1 NaOH, and HF/HCI-0.1 mol L-1 NaOH, consecutively, and analyzed by 13C and 15N CPMAS NMR (cross polarization and magic angle spinning nuclear magnetic resonance). Compared with those of native soils humic fractions studied as a whole contained more alkyls, methoxyls and O-alkyls, being 27%-36%, 17%-21% and 36%-40%, respectively, but fewer aromatics and carboxyls (being 14%-20% and 13%-90%, respectively). Among those humic fractions, the humic acid (HA) and fulvic acid (FA) extracted by 0.1 mol L-1 Na4P207 contained slightly more carboxyls than corresponding humic fractions extracted by 0.1 mol L-1 NaOH, and the HA extracted by 0.1 mol L-1 NaOH after treatment with HF/HCI contained the least aromatics and carboxyls. The distribution of nitrogen functional groups of soil humic fractions studied was quite similar to each other and also quite similar to that of humic fraction from native soils. More than 75% of total N in each fraction was in amide form, with 9%-13% present as aromatic and/or aliphatic amines and the remainder as hoterocyclic N. 展开更多
关键词 AROMATICITY 13C CPMAS NMR humic substances 15N CPMAS NMR nitrogen forms
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Preliminary study in vitro brain tumor with high resolution magic angle spinning proton magnetic resonance spectroscopy 被引量:1
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作者 Wei Tan Yaojun Ke Guangyao Wu 《The Chinese-German Journal of Clinical Oncology》 CAS 2008年第2期103-106,共4页
Objective: To explore water soluble metabolite features of brain tumor specimens with HRMAS-^1HMRS and its potential clinical value. Methods: There were thirty cases of pathologically proven brain tumor, including 6... Objective: To explore water soluble metabolite features of brain tumor specimens with HRMAS-^1HMRS and its potential clinical value. Methods: There were thirty cases of pathologically proven brain tumor, including 6 Ⅰ-Ⅱ grade astrocytomas, 7 Ⅲ grade anaplastic astrocytomas, 10 IV grade glioblastomas and 7 meningiomas. Used Varian Company 600 MHz spectrometer with the Nano-probe for acquisition HRMASJHMRS, which was postprocessed with jMRUI 3.2 version software. These metabolic probability and their ratios to Cr were summed. Results: (1) HRMAS-^1HMRS could resolve NAA, PCr/Cr, GPC ± PCho ± Cho, Glu/GIn, Gly, Tau, Ala, Lac, ml and so on. All samples showed Lac, 6 samples showed unknown single peak at 3.72 ppm or 3.90 ppm. (2) The mean Cho/Cr of 6 Ⅰ-ⅡI grade astrocytomas was 2.42 ± 1.01 (P = 0.003, compared with glioblastoma). The mean Cho/Cr of 7 anaplastic astrocytomas was 3.48 ± 0.59 (P = 0.01, compared with glioblastoma). The Cho/Cr of 10 glioblastomas broadly ranged from 0.9 to 11.3 (mean 5.40 ± 1.23). From Ⅰ-Ⅱ grade astrocytoma to glioblastoma, Ala/Cr, Tau/Cr and Gly/Cr trends were increased; the mean Ala/Cr of glioma was 0.31 ± 0.13. (3) Meningiomas showed higher Ala and Cho. Their Cr was lower than that of gliomas. 4/7 cases had no NAA, 3/7 patients had lower NAA. Mean Cho/Cr was 3.56 ± 1.01, Ala/Cr was 0.53 ±0.28 (P = 0.006, compared with glioma). Conclusion: HRMAS-^1HMRS can show further details in vivo MRS, resolve in vivo spectroscopic metabolite of Cho compound and differentiate the extent of benign and malignant glioma. With the increase in the malignant degree of gliomas, Cho, ml, Ala, Tau and Gly will increase. HRMAS-^1HMRS is the only method of isotropic spectroscopy for pathological specimens. 展开更多
关键词 magic angle spinning high resolution proton magnetic resonance spectroscopy in vitro brain tumor
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