essential geometry 中文意思是什麼
essential geometry
解釋
基礎幾何學-
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 -
Conclusion by presenting his disquisitions generales circa superficies curves in 1827, gauss presented in fact the essential idea of his earlier research on non - euclid geometry in his unique way as well
結論高斯於1827年發表的《關于曲面的一般研究》 ，一方面奠定了內蘊微分幾何的基礎，同時也以其獨特的「高斯風格」將自己的非歐幾何研究揭示于眾。 -
This contrasts with the computation of fundamental matrices and trifocal tensors, which use only a subsequence of 2 and 3 views respectively. secondly, in our methods, the essential geometry of the image single axis geometry may be specified by six parameters and this may be estimated from one conic and one fundamental matrix ( a total of 12 parameters ) or may be minimally estimated from two conies ( a total of 10 parameters ). previous methods have involved estimating more than this minimum number of parameters
從本質上講，本文提出的演算法是一個多視角幾何演算法，它充分利用了所獲得的圖象序列，將單軸旋轉運動的幾何信息很好地融入於二次曲線當中，從而創新地提出了利用二次曲線對單軸旋轉運動的不變量進行分析的方法，並首次求解出了單軸旋轉運動中的全部不變量。 -
First, the elements of the image navigation are analyzed and the coordinate systems are defined. with projection relation of perspective projection and epipolar geometry considered, essential matrix is derived
考慮導航相機採用透視投影模型時的空間點在像平面上的投影關系，結合極線幾何的性質，給出了本質矩陣的定義式。 -
Among which, mathematical model is both the best carrier that represents mathematics " solutions to practical problems and mathematical thinking processes and the bridge for the integration of mathematical education theory with practice ; fractal geometry enables students to have better understanding of the new development of geometry and exploit new space of geometric thinking ; probability and statistics, by means of the collection, coordination, description and analysis of data as well as the portrayal of the possibility of uncertain phenomena and events, provide evidences and suggestions for people ' s better decision - making, which is essential to people ' s life
分形幾何學使得學生能更多地了解幾何學的新發展，開拓幾何思維的新空間。概率與統計則通過對數據的收集、整理、描述和分析以及對不確定現象和事件發生可能性的刻畫，為人們更好地制定決策提供依據和建議。研究過程中，就課程的整合作了大量針對性、操作性強的教育教學案例，對轉變學生的學習方式，促進師生、學生間的交流與合作，培養學生創造性思維和實踐能力有一定的指導作用。
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