intrinsic geometry 中文意思是什麼
intrinsic geometry
解釋
內蘊幾何學-
Gaussian intrinsic differential geometry and non - euclidean geometry
高斯的內蘊微分幾何與非歐幾何 -
Their study is called the intrinsic geometry of the surface.
它們的研究被稱做曲面的內蘊幾何。 -
Many planets ( for example, ganymede, mercury, the earth, jupiter and saturn ) and stars ( for example, the sun ) possess intrinsic magnetic fields. the explanation for their existence and variation remains a great challenge to planetary scientists and astrophysicists. this article attempts to review some recent developments and difficulties in the study of magnetohydrodynamics for the electrically conducting fluid interiors of planets and stars. it is the fluid motions, usually driven by thermal convection, that generate and sustain magnetic fields through magnetohydrodynamic processes in planets and stars. in planets, the magnetohydrodynamic processes are strongly affected by the combined and inseparable effects of rotation, magnetic fields and spherical geometry. the key dynamics involves the interaction between the coriolis and lorentz forces. in the sun, it is the solar tachocline, a thin shear flow layer located at the base of the convection envelope, that plays an essential role in the solar magnetohydrodynamic processes which produce the 11 - year sunspot cycle. some results of a new nonlinear three - dimensional solar dynamo model are also presented
許多行星（如木衛三，水星，地球，木星和土星）和恆星（如太陽）具有內部磁場.對這些磁場的存在和變化的解釋對行星科學家和天體物理學家是一個巨大的挑戰.本文試圖總結行星和恆星的導電流體內部磁流體力學研究的新近發展和困難.一般由熱對流驅動的流動通過磁流體力學過程產生並維持在行星和恆星中的磁場.在行星中磁流體力學過程強烈地受到轉動，磁場和球幾何位型的綜合影響.其動力學的關鍵方面涉及科里奧利力和洛倫茲力間的相互作用.在太陽中其流線，即處于對流層的薄的剪切流層在太陽的磁流體力學過程中扮演了一個基本的角色，並由之產生了11年的太陽黑子周期.本文也給出了一個新的非線性三維太陽發電機模型 -
Unlike the eclipsing variables that are related to geometry, some variable stars are variables because of their intrinsic structure
：和食變星不同的是，有些恆星的光度變化是內部因素所造成的。 -
At the meantime, the rock mass may alternate between loading and unloading and it exists in certain kind of liquid, such as surface water, unconfined water, confined water etc for its intrinsic crannies. the practical rock mass concerned project must solve the key stability pr oblem after the understanding of the complicated mechanical characteristic and the deformation trends to guide the following project design and construction for the demand of security, economy, feasibility and validity. however, the intrinsic nonlinearness and complexity of the engineering rock mass become the main difficulty to predict the stability and deformation, the corresponding structure design must ensure enough safety with all the determinate or random force combination, so a model without the geometry distortion and constitutive equation warp is necessary to be built for the quantificational analysis of practical structure ' s stress, for the simulation of the real process and for the determinate evaluation system and optimization
由於實際工程巖體其固有的非線性和復雜性，使得求解對應的諸如其穩定性、變形等問題面臨較大的困難，而有關的工程結構的設計必須保證該結構在外來因素的作用下具有足夠的安全度、經濟性和合理性，這必然要求對巖體及其工程結構的受力與變形有一套量化評判體系和優化技術，抓住實際工程問題的本質特徵並建立可行的符合幾何模擬、本構模擬、受力模擬、過程模擬四原則的求解模型，通過該模型的數值模擬成果來指導巖體工程的設計、施工及運營、管理；而巖體結構面的存在使得基於傳統連續介質力學理論的理論分析和數值模擬面臨巨大的挑戰，物理模擬的試驗周期和成本也大大增加，而巖土體工程問題則成為典型的數據有限、了解程度有限類問題，這類問題的解決需要綜合應用理論分析、經驗判斷、物理模擬和數值模擬等方法，數值模擬可以完成目前許多技術手段無法完成的實驗，如參數控制，復雜條件下的邊界條件的處理，同時數值模擬具有高可重復性，且數值模擬的成本和人力開銷等遠低於物理模擬，因此研究巖土體工程問題的流形元數值模擬方法是一項具有理論和實際工程應用價值的重要課題。 -
Some intrinsic metrics in differential manifolds, such as cara - theodory metrics and kobayashi metrics in complex manifolds, are finsler metrics. finsler metrics is just riemannian metrics without quadratic restriction, which was firstly introduced by b. riemann in 1854. the geometry with finsler metric is called finsler geometry
Finsler度量是沒有二次型限制的riemann度量， riemann在1854年的就職演說中已經涉及了這種情形。以finsler度量為基礎的幾何學被稱為finsler幾何。 -
Aim to study the relations between the thought of gaussian intrinsic differential geometry and gauss ' s earlier research on non - euclidean geometry
摘要目的分析與研究高斯關于非歐幾何的研究和內蘊微分幾何思想之間的聯系。 -
Results a view of better understanding origins of gaussian intrinsic differential geometry is presented, and the intrinsic relation between gauss ' s thought of intrinsic differential geometry and of his non - euclidean geometry is brought to light and discussed
結果總結分析了高斯建立的內蘊微分幾何的思想和淵源，揭示了其與非歐幾何學的內在聯系。
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