第1,324行: |
第1,324行: |
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| * 1904. ''Science and Hypothesis,'' The Walter Scott Publishing Co. | | * 1904. ''Science and Hypothesis,'' The Walter Scott Publishing Co. |
| + | *1904年“科学与假设”,沃尔特·斯科特出版公司。 |
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| * 1913. "The New Mechanics," The Monist, Vol. XXIII. | | * 1913. "The New Mechanics," The Monist, Vol. XXIII. |
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− | * 1913. "The Relativity of Space," The Monist, Vol. XXIII.
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− | * 1913. {{Citation | title=Last Essays. |place=New York |publisher=Dover reprint, 1963 | url=https://archive.org/details/mathematicsandsc001861mbp}}
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− | * 1956. ''Chance.'' In James R. Newman, ed., The World of Mathematics (4 Vols).
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− | * 1958. ''The Value of Science,'' New York: Dover.
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− | *1904年“科学与假设”,沃尔特·斯科特出版公司。
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| *1913年。”《新力学》,《一元论》,第二十三卷。 | | *1913年。”《新力学》,《一元论》,第二十三卷。 |
− | | + | *1913. "The Relativity of Space," The Monist, Vol. XXIII. |
| *1913年。”空间的相对性,《一元论》,第二十三卷。 | | *1913年。”空间的相对性,《一元论》,第二十三卷。 |
− | | + | *1913. {{Citation | title=Last Essays. |place=New York |publisher=Dover reprint, 1963 | url=https://archive.org/details/mathematicsandsc001861mbp}} |
| *1913年。{{引文|标题=最后一篇论文。|place=New York | publisher=Dover再版,1963 |网址=https://archive.org/details/mathematicsandsc001861mbp}} | | *1913年。{{引文|标题=最后一篇论文。|place=New York | publisher=Dover再版,1963 |网址=https://archive.org/details/mathematicsandsc001861mbp}} |
− | | + | *1956. ''Chance.'' In James R. Newman, ed., The World of Mathematics (4 Vols). |
| *1956年《机会》,詹姆斯·R·纽曼主编,《数学世界》(4卷)。 | | *1956年《机会》,詹姆斯·R·纽曼主编,《数学世界》(4卷)。 |
− | | + | *1958. ''The Value of Science,'' New York: Dover. |
| *1958年《科学的价值》,纽约:多佛。 | | *1958年《科学的价值》,纽约:多佛。 |
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第1,350行: |
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| * 1892–99. ''New Methods of Celestial Mechanics'', 3 vols. English trans., 1967. {{isbn|1-56396-117-2}}. | | * 1892–99. ''New Methods of Celestial Mechanics'', 3 vols. English trans., 1967. {{isbn|1-56396-117-2}}. |
− | | + | *1892-1899年。”天体力学新方法》,3卷。英语译本,1967年。{{isbn | 1-56396-117-2}}。 |
| * 1905. "The Capture Hypothesis of J. J. See," The Monist, Vol. XV. | | * 1905. "The Capture Hypothesis of J. J. See," The Monist, Vol. XV. |
− | | + | *1905年。”J.J.的捕获假说,见《一元论》,第十五卷。 |
| * 1905–10. ''Lessons of Celestial Mechanics''. | | * 1905–10. ''Lessons of Celestial Mechanics''. |
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− | *1892-1899年。”天体力学新方法》,3卷。英语译本,1967年。{{isbn | 1-56396-117-2}}。
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− | *1905年。”J.J.的捕获假说,见《一元论》,第十五卷。
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| *1905-10年。”天体力学课程”。 | | *1905-10年。”天体力学课程”。 |
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| On the [[philosophy of mathematics]]: | | On the [[philosophy of mathematics]]: |
− | | + | 关于[[数学哲学]]: |
| * Ewald, William B., ed., 1996. ''From Kant to Hilbert: A Source Book in the Foundations of Mathematics'', 2 vols. Oxford Univ. Press. Contains the following works by Poincaré: | | * Ewald, William B., ed., 1996. ''From Kant to Hilbert: A Source Book in the Foundations of Mathematics'', 2 vols. Oxford Univ. Press. Contains the following works by Poincaré: |
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| + | *伊瓦尔德,威廉B.,编辑,1996年从康德到希尔伯特:数学基础中的一本原著,2卷。牛津大学出版社。包含庞加莱的以下作品: |
| ** 1894, "On the Nature of Mathematical Reasoning," 972–81. | | ** 1894, "On the Nature of Mathematical Reasoning," 972–81. |
− | | + | **1894年,“论数学推理的本质”,972-81。 |
| ** 1898, "On the Foundations of Geometry," 982–1011. | | ** 1898, "On the Foundations of Geometry," 982–1011. |
− | | + | **1898年,《几何基础》,982-1011年。 |
| ** 1900, "Intuition and Logic in Mathematics," 1012–20. | | ** 1900, "Intuition and Logic in Mathematics," 1012–20. |
− | | + | **1900年,“数学中的直觉和逻辑”,1012-20。 |
| ** 1905–06, "Mathematics and Logic, I–III," 1021–70. | | ** 1905–06, "Mathematics and Logic, I–III," 1021–70. |
− | | + | **1905年至1906年,“数学与逻辑,I–III”,1021–70。 |
| ** 1910, "On Transfinite Numbers," 1071–74. | | ** 1910, "On Transfinite Numbers," 1071–74. |
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− | * 1905. "The Principles of Mathematical Physics," The Monist, Vol. XV.
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− | * 1910. "The Future of Mathematics," The Monist, Vol. XX.
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− | * 1910. "Mathematical Creation," The Monist, Vol. XX.
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− | 关于[[数学哲学]]:
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− | *伊瓦尔德,威廉B.,编辑,1996年从康德到希尔伯特:数学基础中的一本原著,2卷。牛津大学出版社。包含庞加莱的以下作品:
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− | **1894年,“论数学推理的本质”,972-81。
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− | **1898年,《几何基础》,982-1011年。
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− | **1900年,“数学中的直觉和逻辑”,1012-20。
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− |
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− | **1905年至1906年,“数学与逻辑,I–III”,1021–70。
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| **1910年,“关于超限数”,1071-74。 | | **1910年,“关于超限数”,1071-74。 |
− | | + | *1905. "The Principles of Mathematical Physics," The Monist, Vol. XV. |
| *1905年。”《数学物理原理》,《一元论》,第十五卷。 | | *1905年。”《数学物理原理》,《一元论》,第十五卷。 |
− | | + | * 1910. "The Future of Mathematics," The Monist, Vol. XX. |
| *1910年。”《数学的未来》,《一元论》,第二十卷。 | | *1910年。”《数学的未来》,《一元论》,第二十卷。 |
− | | + | *1910. "Mathematical Creation," The Monist, Vol. XX. |
| *1910年。”《数学创造》,《一元论》,第二十卷。 | | *1910年。”《数学创造》,《一元论》,第二十卷。 |
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| Other: | | Other: |
− | | + | 其他: |
| * 1904. ''Maxwell's Theory and Wireless Telegraphy,'' New York, McGraw Publishing Company. | | * 1904. ''Maxwell's Theory and Wireless Telegraphy,'' New York, McGraw Publishing Company. |
− | | + | *1904年《麦克斯韦理论与无线电报》,纽约,麦格劳出版公司。 |
| * 1905. "The New Logics," The Monist, Vol. XV. | | * 1905. "The New Logics," The Monist, Vol. XV. |
− | | + | *1905年。”《新逻辑学》,《一元论》,第十五卷。 |
| * 1905. "The Latest Efforts of the Logisticians," The Monist, Vol. XV. | | * 1905. "The Latest Efforts of the Logisticians," The Monist, Vol. XV. |
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− | 其他:
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− | *1904年《麦克斯韦理论与无线电报》,纽约,麦格劳出版公司。
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− | *1905年。”《新逻辑学》,《一元论》,第十五卷。
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| *1905年。”《后勤人员的最新努力》,《一元论》,第十五卷。 | | *1905年。”《后勤人员的最新努力》,《一元论》,第十五卷。 |
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第1,403行: |
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| * [[Poincaré complex]] – an abstraction of the singular chain complex of a closed, orientable manifold | | * [[Poincaré complex]] – an abstraction of the singular chain complex of a closed, orientable manifold |
− | | + | *[[Poincarécomplex]]——封闭可定向流形的奇异链复形的抽象 |
| * [[Poincaré duality]] | | * [[Poincaré duality]] |
− | | + | *[[庞加莱双重性]] |
| * [[Poincaré disk model]] | | * [[Poincaré disk model]] |
− | | + | *[[庞加莱磁盘模型]] |
| * [[Poincaré group]] | | * [[Poincaré group]] |
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− | *[[Poincarécomplex]]——封闭可定向流形的奇异链复形的抽象
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− | *[[庞加莱双重性]]
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− |
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− | *[[庞加莱磁盘模型]]
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| *[[庞加莱集团]] | | *[[庞加莱集团]] |
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第1,416行: |
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| * [[Poincaré half-plane model]] | | * [[Poincaré half-plane model]] |
− | | + | *[[庞加莱半平面模型]] |
| * [[Homology sphere#Poincaré homology sphere|Poincaré homology sphere]] | | * [[Homology sphere#Poincaré homology sphere|Poincaré homology sphere]] |
− | | + | *[[同调球#庞加莱同调球|庞加莱同调球]] |
− | * [[Poincaré inequality]] | + | *[[Poincaré inequality]] |
− | | + | *[[庞加莱不等式]] |
− | * [[Poincaré map]] | + | *[[Poincaré map]] |
| + | *[[Poincarémap]] |
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| * [[Poincaré residue]] | | * [[Poincaré residue]] |
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| + | *[[庞加莱残留物]] |
| * [[Poincaré series (modular form)]] | | * [[Poincaré series (modular form)]] |
− | | + | *[[庞加莱系列(模块形式)]] |
| * [[Poincaré space]] | | * [[Poincaré space]] |
− | | + | *[[庞加莱空间]] |
| * [[Poincaré metric]] | | * [[Poincaré metric]] |
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| * [[Poincaré plot]] | | * [[Poincaré plot]] |
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| * [[Hilbert–Poincaré series|Poincaré series]] | | * [[Hilbert–Poincaré series|Poincaré series]] |
− | | + | *[[希尔伯特-庞加莱系列|庞加莱系列]] |
| * [[Poincaré sphere (optics)|Poincaré sphere]] | | * [[Poincaré sphere (optics)|Poincaré sphere]] |
− | | + | *[Poincarésphere(光学)| Poincarésphere]] |
| * [[Poincaré–Lelong equation]] | | * [[Poincaré–Lelong equation]] |
− | | + | *[Poincaré–Lelong方程]] |
| * [[Poincaré–Lindstedt method]] | | * [[Poincaré–Lindstedt method]] |
− | | + | *[Poincaré–Lindstedt方法]] |
| * [[Poincaré–Lindstedt perturbation theory]] | | * [[Poincaré–Lindstedt perturbation theory]] |
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− | * [[Poincaré–Steklov operator]]
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− |
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− | * [[Reflecting Function]]
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− |
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− | *[[庞加莱半平面模型]]
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− |
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− | *[[同调球#庞加莱同调球|庞加莱同调球]]
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− |
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− | *[[庞加莱不等式]]
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− |
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− | *[[Poincarémap]]
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− |
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− | *[[庞加莱残留物]]
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− |
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− | *[[庞加莱系列(模块形式)]]
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− |
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− | *[[庞加莱空间]]
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− |
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− | *[[Poincarémetric]]
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− |
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− | *[[Poincaréplot]]
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− |
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− | *[[希尔伯特-庞加莱系列|庞加莱系列]]
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− |
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− | *[Poincarésphere(光学)| Poincarésphere]]
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− |
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− | *[Poincaré–Lelong方程]]
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− |
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− | *[Poincaré–Lindstedt方法]]
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| *庞加莱-林德斯特摄动理论 | | *庞加莱-林德斯特摄动理论 |
− | | + | *[[Poincaré–Steklov operator]] |
| *[[Poincaré–Steklov运算符]] | | *[[Poincaré–Steklov运算符]] |
− | | + | * [[Reflecting Function]] |
| *[[反射函数]] | | *[[反射函数]] |
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第1,470行: |
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| * [[Poincaré–Hopf theorem]]: a generalization of the hairy-ball theorem, which states that there is no smooth vector field on a sphere having no sources or sinks. | | * [[Poincaré–Hopf theorem]]: a generalization of the hairy-ball theorem, which states that there is no smooth vector field on a sphere having no sources or sinks. |
| + | *[[Poincaré–Hopf定理]]:毛球定理的一个推广,它指出在没有源或汇的球体上没有光滑的向量场。 |
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| * [[Poincaré–Lefschetz duality theorem]]: a version of Poincaré duality in geometric topology, applying to a manifold with boundary | | * [[Poincaré–Lefschetz duality theorem]]: a version of Poincaré duality in geometric topology, applying to a manifold with boundary |
| + | *[[Poincaré–Lefschetz对偶定理]]:几何拓扑中Poincaré对偶的一个版本,适用于有边界的流形 |
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| * [[Poincaré separation theorem]]: gives the upper and lower bounds of eigenvalues of a real symmetric matrix B'AB that can be considered as the orthogonal projection of a larger real symmetric matrix A onto a linear subspace spanned by the columns of B. | | * [[Poincaré separation theorem]]: gives the upper and lower bounds of eigenvalues of a real symmetric matrix B'AB that can be considered as the orthogonal projection of a larger real symmetric matrix A onto a linear subspace spanned by the columns of B. |
| + | *[[庞加莱分离定理]]:给出了实对称矩阵B'AB的特征值的上下界,它可以看作是更大的实对称矩阵a在B列所跨的线性子空间上的正交投影。 |
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| * [[Poincaré–Birkhoff theorem]]: every area-preserving, orientation-preserving homeomorphism of an annulus that rotates the two boundaries in opposite directions has at least two fixed points. | | * [[Poincaré–Birkhoff theorem]]: every area-preserving, orientation-preserving homeomorphism of an annulus that rotates the two boundaries in opposite directions has at least two fixed points. |
| + | *[[Poincaré–Birkhoff定理]]:沿相反方向旋转两个边界的环空间的每个保面积、保方向同胚至少有两个不动点。 |
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| * [[Poincaré–Birkhoff–Witt theorem]]: an explicit description of the universal enveloping algebra of a Lie algebra. | | * [[Poincaré–Birkhoff–Witt theorem]]: an explicit description of the universal enveloping algebra of a Lie algebra. |
| + | *[[Poincaré–Birkhoff–Witt定理]]:李代数的泛包络代数的显式描述。 |
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| * [[Poincaré conjecture]] (now a theorem): Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere. | | * [[Poincaré conjecture]] (now a theorem): Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere. |
| + | *[[Poincaré猜想]](现在是一个定理):每个单连通的闭3-流形都同胚于3-球面。 |
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| * [[Poincaré–Miranda theorem]]: a generalization of the [[intermediate value theorem]] to ''n'' dimensions. | | * [[Poincaré–Miranda theorem]]: a generalization of the [[intermediate value theorem]] to ''n'' dimensions. |
− |
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− | *[[Poincaré–Hopf定理]]:毛球定理的一个推广,它指出在没有源或汇的球体上没有光滑的向量场。
| |
− |
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− | *[[Poincaré–Lefschetz对偶定理]]:几何拓扑中Poincaré对偶的一个版本,适用于有边界的流形
| |
− |
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− | *[[庞加莱分离定理]]:给出了实对称矩阵B'AB的特征值的上下界,它可以看作是更大的实对称矩阵a在B列所跨的线性子空间上的正交投影。
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− |
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− | *[[Poincaré–Birkhoff定理]]:沿相反方向旋转两个边界的环空间的每个保面积、保方向同胚至少有两个不动点。
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− |
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− | *[[Poincaré–Birkhoff–Witt定理]]:李代数的泛包络代数的显式描述。
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− |
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− | *[[Poincaré猜想]](现在是一个定理):每个单连通的闭3-流形都同胚于3-球面。
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| *[[Poincaré–Miranda定理]]:将[[中值定理]]推广到“n”维。 | | *[[Poincaré–Miranda定理]]:将[[中值定理]]推广到“n”维。 |
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第1,579行: |
第1,495行: |
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| *[[French epistemology]] | | *[[French epistemology]] |
− | | + | *[[法国认识论]] |
| *[[History of special relativity]] | | *[[History of special relativity]] |
| + | *[[狭义相对论史]] |
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| *[[List of things named after Henri Poincaré]] | | *[[List of things named after Henri Poincaré]] |
| | | |
| + | *[[以亨利·彭加勒命名的事物列表]] |
| *[[Institut Henri Poincaré]], Paris | | *[[Institut Henri Poincaré]], Paris |
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| + | *[[Henri Poincaré学院]],巴黎 |
| *[[Brouwer fixed-point theorem]] | | *[[Brouwer fixed-point theorem]] |
| + | *[[Brouwer不动点定理]] |
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| *[[Relativity priority dispute]] | | *[[Relativity priority dispute]] |
| + | |
| + | *[[相对论优先权争议]] |
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| *[[Epistemic structural realism]]<ref>[http://plato.stanford.edu/entries/structural-realism/#Rel "Structural Realism"]: entry by James Ladyman in the ''[[Stanford Encyclopedia of Philosophy]]''</ref> | | *[[Epistemic structural realism]]<ref>[http://plato.stanford.edu/entries/structural-realism/#Rel "Structural Realism"]: entry by James Ladyman in the ''[[Stanford Encyclopedia of Philosophy]]''</ref> |
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− | *法国认识论
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− |
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− | *狭义相对论史
| |
− |
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− | *[[以亨利·彭加勒命名的事物列表]]
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− |
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− | *[[Henri Poincaré学院]],巴黎
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− |
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− | *Brouwer不动点定理
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− |
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− | *[相对论优先权争议]
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| *[[认知结构现实主义]]<ref>[http://plato.stanford.edu/entries/structural reality/#Rel“结构现实主义”]:詹姆斯·拉迪曼在“[[斯坦福哲学百科全书]]”中的词条</ref> | | *[[认知结构现实主义]]<ref>[http://plato.stanford.edu/entries/structural reality/#Rel“结构现实主义”]:詹姆斯·拉迪曼在“[[斯坦福哲学百科全书]]”中的词条</ref> |