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双语推荐：变易

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常数变易法是解决一阶非齐次线性微分方程通解的有效方法．但是多数教材只讲解了使用方法，而没有给出此法的由来。讨论常数变易法的由来，并对其进行推广，从而加深对常数变易法的理解和掌握。
The variation of constants method is an effective way to solve the first-order linear non-homogeneous differential equation, but most textbooks only explain the use of method, did not give the origin of this method. Discusses the origin of the variation of constants method, promotes and enhances the understanding and grasp of the variation of constants method.

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《尔雅》是我国古代第一部训诂专著,其书在战国时期已初具规模,秦汉之际递有增补。由于各种原因,在流传过程中《尔雅》用字发生了不少变易。变易后的《尔雅》用字储存在历代字书中,与《尔雅》文本失去联系,后人遂不知其字源于《尔雅》。借助《尔雅》字形、字义以及郭璞的注释,大型字书直接或间接源于《尔雅》的疑难字可以得到考辨。
“Er Ya” is the first ancient exegetical monograph in China .It has begun to take shape in the Warring States period ,and during the Qin and Han dynasties have supplemented .Due to various rea-sons ,in the process of spreading ,“Er Ya”words happened a lot of variation .These words were stored in the ancient dictionaries ,lost contact with the book ,and then people do not know where the words come from it .By means of“Er Ya”glyph ,meanings and Guo Pu''s notes ,the words in large dictionaries directly or indirectly from“Er Ya” can be interpreted .

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介绍三种求解伯努利微分方程的方法,即常数变易法、积分因子法和凑微分法,并给出实例加以说明.
This article summarizes three differential methods for solving the Bernoulli equation .Examples are illustrated .

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探索出平面与平面相交,判别可见性一套新方法,沿两平面图形的公共用部分"走一圈",即可把难变易且能提高作图效率。
A new method to determine the visibility of intersection between two planes is“walking around” the mutual part of the two planes, which will simplify the problem, thereby improving the efficiency in drawing.

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利用常数变易法,构建了二阶非齐次微分方程-u″(t)+ρ2 u(t)=f(t,u(t)),t∈J,在ρ=0和ρ0这两种情形下及相应边值条件下的格林函数,并给出了其等价的积分方程.
Utilizing the variation of constants ,under the cases ρ=0 andρ>0 ,Green functions to the second‐order nonhomogeneous differential equations ‐u″(t)+ρ2 u(t)= f (t ,u(t)) ,t∈ J with different boundary value conditions are established ,and then the equivalence of solutions is given in this paper .

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要充分尊重青少年自身发展的特点，善于因势利导，把学校的思想政治工作由虚变实、由难变易、由软变硬，真正起到化解矛盾、调动积极性、激发创造性的目的。结合残疾人教育的特殊性，努力创造出友爱和谐、乐观进取的校园氛围。
The characteristics of teenagers'' personal development should be fully respected and they should be guided in the light of the general trend, so as to make school ideological and political work more specific, easier and more strict, truly achieving the goals of resolving conflicts, arousing enthusiasm and stimulating creativity. Combined with the particularity of special education for the disabled, a friendly, harmonious, optimistic and enterpris-ing campus atmosphere should be created with efforts.

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以中医智慧为大学改革把脉、诊病，并用中医思维谋划配置“药方”，予以辨证施治，富有意义。当前我国大学改革存在以下思维病症：局部思维、线性思维、政绩思维及激进思维。对这些病症须对症下药，施以中医智慧之整体思维、变易思维、顺势思维及中和思维，做到因症而治，另附以诊后医嘱，巩固疗效。强调中医智慧贯入大学改革思维，意在“会通以超胜”。
Pulse, ask for the university reform by the Wisdom of Traditional Chinese Medicine , use of Traditional Chinese Medicine thinking plot configuration"prescription" to dialectical treatment, it is meaningful. Now the university reform of our country exists the following symptoms of thinking:local thinking, linear thinking , achievements of thinking, and radical thinking. To suit the remedy of the case, with the wisdom of Traditional Chinese Medicine overall thinking, variation thinking, homeopathic thinking and neutralization thinking, it is due to dialectical treatment, enclose the doctor''s advice after diagnosis to consolidate curative effect. Emphasize the wisdom of Traditional Chinese Medicine inject to university reform thinking , it is aimed at“interlink each other to triumph”.

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"理性"作为道德的基础,源于亚里士多德。亚里士多德认为:德性是选择,要靠理性把握和决定。然而,经历了十几个世纪的变易,"理性"的光芒逐渐虚渺。而到康德,"理性"作为现代性的一种特征,成为康德整个德性论的根基。而对康德的德性观的某种回归为探寻理性何以重新规范道德提供了启示,也进一步重现了康德道德哲学对现实的指导意义。
As the foundation of morality,reason started from Aristotle.Aristotle thought that virtue was the choice which was decided and determined by reason.However,after the dozens of centuries,the rays of reason be-come gradually dim.Reason as the characteristic of modernity becomes the basis of Kant’s virtue theory.The re-turn of Kant’s virtue theory inspires people’s exploration of the ways to how the reason set standards for ethics, and the theory further embodies its guiding significance to the reality.

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柏拉图在晚期重要对话《智者篇》中提出他的通种论,这标志着其辩证法的完成阶段.比照前中期著作,《智者篇》辩证法意味着对巴门尼德的否定和对赫拉克利特的继承.解读《智者篇》辩证法的建立过程和澄清、重构赫氏哲学,可以发现柏拉图是如何在现象与理念的调和、动力学说、变易观和联系观等方面对赫氏有所继承的.
Plato produced the theory of common ideas in his late important dialogue,Sophist,which marked the completion of his dialectics. Compared with his early pieces,it refers to the denial of Parmenides and inheritance of Heraclitus. By interpreting the establishment of the Sophist’s dialectics as well as clarifying and reconstructing philosophy of Heraclitus,it can be found how Plato inherited Heraclitus in aspects like reconciliation between the phenomenon and idea, dynamic theory, views of variation and of contact.

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人文主义哲学在高等教育史中的文化角色经历了从边缘到中心、从自我到他者的变易过程。人文主义与科学主义的矛盾演替,不仅影响了其文化角色的历史变迁,也造成了其在高等教育当下时空中的异化与悬空,其价值、理想、教育与空间正逐渐被科学功利主义及其衍生的"科学至上论"、"效率第一论"、"现代优越论"和"适者生存论"文化所异化。未来高等教育所亟需的,并不是人文主义哲学的虚幻繁荣,而应该是其文化角色的真实复归。
The cultural role of humanism in higher education has been transferred from the “periphery” to the “core” , and from the “self” to the “other” . The competition between humanism and scientism not only affects the historical change of humanism’s cultural role , but also leads to the alienation and null status of humanism in higher education at present . The values ,ideals , education and space of humanism have been gradually alienated by scientism and such ideas as “supremacy of science” , “efficiency first” ,“modern superiority” and “survival of the fittest” which are derived from scientism and utilitarianism . The real need of higher education is not the illusory prosperity of humanism , but the real renaissance of its cultural role in the future .

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