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43 changes: 21 additions & 22 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -196,32 +196,32 @@ The `translated-notebooks` directory contains Chinese translations of various no

| Notebook | Description |
|----------|-------------|
| [二项展开式.ipynb](translated-notebooks/discrete-mathematics/combinatorics/二项展开式.ipynb) | 二项展开式公式与应用 (Binomial expansion formulas and applications) |
| [排列与组合.ipynb](translated-notebooks/discrete-mathematics/combinatorics/排列与组合.ipynb) | 排列与组合概念 (Permutation and combination concepts) |
| [杨辉三角.ipynb](translated-notebooks/discrete-mathematics/combinatorics/杨辉三角.ipynb) | 杨辉三角的性质与应用 (Pascal's triangle properties and applications) |
| [二项展开式.ipynb](translated-notebooks/离散数学/组合学/二项展开式.ipynb) | 二项展开式公式与应用 (Binomial expansion formulas and applications) |
| [排列与组合.ipynb](translated-notebooks/离散数学/组合学/排列与组合.ipynb) | 排列与组合概念 (Permutation and combination concepts) |
| [杨辉三角.ipynb](translated-notebooks/离散数学/组合学/杨辉三角.ipynb) | 杨辉三角的性质与应用 (Pascal's triangle properties and applications) |

##### Series and Sequences (数列与级数)

| Notebook | Description |
|----------|-------------|
| [三角形数与之求和.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/三角形数与之求和.ipynb) | 三角形数及其求和公式 (Triangular numbers and their sum formulas) |
| [几何级数.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/几何级数.ipynb) | 几何级数概念与公式 (Geometric series concepts and formulas) |
| [奇数之和为平方数.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/奇数之和为平方数.ipynb) | 奇数之和等于平方数的证明 (Proof that sum of odd numbers equals perfect squares) |
| [偶数之和.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/偶数之和.ipynb) | 偶数之和公式 (Formulas for sum of even numbers) |
| [正整数之和为奇数或偶数.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/正整数之和为奇数或偶数.ipynb) | 正整数之和为奇数或偶数的公式 (Sum formulas for positive integers up to odd or even numbers) |
| [连续倍数之和.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/连续倍数之和.ipynb) | 连续倍数之和 (Sums of consecutive multiples) |
| [连续倍数倒数之和.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/连续倍数倒数之和.ipynb) | 连续倍数倒数之和 (Sums of reciprocals of consecutive multiples) |
| [算术级数.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/算术级数.ipynb) | 算术级数概念与公式 (Basic arithmetic sum concepts and formulas) |
| [算术级数推广.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/算术级数推广.ipynb) | 算术级数推广 (Generalizations of arithmetic sum formulas) |
| [立方数之和与算术级数 (压缩版).ipynb](<translated-notebooks/discrete-mathematics/series-and-sequences/立方数之和与算术级数 (压缩版).ipynb>) | 立方数之和与算术级数 (压缩版) (Compressed version of sum of cubes using arithmetic sums) |
| [立方数之和与算术级数.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/立方数之和与算术级数.ipynb) | 立方数之和与算术级数 (Sum of cubes using arithmetic sum formulas) |
| [立方数之和与平方数之和.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/立方数之和与平方数之和.ipynb) | 立方数之和与平方数之和的关系 (Relationship between sum of cubes and sum of squares) |
| [立方数之和与对称和.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/立方数之和与对称和.ipynb) | 立方数之和与对称和 (Sum of cubes using symmetric sum approach) |
| [平方数之和与算术级数.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/平方数之和与算术级数.ipynb) | 平方数之和与算术级数 (Sum of squares using arithmetic sum formulas) |
| [平方数之和与对称和.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/平方数之和与对称和.ipynb) | 平方数之和与对称和 (Sum of squares using symmetric sum approach) |
| [偶数对称和.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/偶数对称和.ipynb) | 偶数对称和 (Symmetric approach to summing even numbers) |
| [奇数对称和.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/奇数对称和.ipynb) | 奇数对称和 (Symmetric approach to summing odd numbers) |
| [平方和的对称和之推导.ipynb](translated-notebooks/discrete-mathematics/series-and-sequences/平方和的对称和之推导.ipynb) | 平方和的对称和之推导 (Derivation of sum of squares using symmetric sum) |
| [三角形数与之求和.ipynb](translated-notebooks/离散数学/数列与级数/三角形数与之求和.ipynb) | 三角形数及其求和公式 (Triangular numbers and their sum formulas) |
| [几何级数.ipynb](translated-notebooks/离散数学/数列与级数/等比数列求和.ipynb) | 几何级数概念与公式 (Geometric series concepts and formulas) |
| [奇数之和为平方数.ipynb](translated-notebooks/离散数学/数列与级数/奇数之和是平方数.ipynb) | 奇数之和等于平方数的证明 (Proof that sum of odd numbers equals perfect squares) |
| [偶数之和.ipynb](translated-notebooks/离散数学/数列与级数/偶数之和.ipynb) | 偶数之和公式 (Formulas for sum of even numbers) |
| [正整数之和为奇数或偶数.ipynb](translated-notebooks/离散数学/数列与级数/等差数列求和/等差数列至奇数乃偶数之求和.ipynb) | 正整数之和为奇数或偶数的公式 (Sum formulas for positive integers up to odd or even numbers) |
| [连续倍数之和.ipynb](translated-notebooks/离散数学/数列与级数/连续整数乘积求和.ipynb) | 连续倍数之和 (Sums of consecutive multiples) |
| [连续倍数倒数之和.ipynb](translated-notebooks/离散数学/数列与级数/连续乘积倒数求和.ipynb) | 连续倍数倒数之和 (Sums of reciprocals of consecutive multiples) |
| [算术级数.ipynb](translated-notebooks/离散数学/数列与级数/等差数列求和/等差数列求和.ipynb) | 算术级数概念与公式 (Basic arithmetic sum concepts and formulas) |
| [算术级数推广.ipynb](translated-notebooks/离散数学/数列与级数/等差数列求和/等差数列求和之广义化.ipynb) | 算术级数推广 (Generalizations of arithmetic sum formulas) |
| [立方数之和与算术级数 (压缩版).ipynb](translated-notebooks/离散数学/数列与级数/立方数列求和/立方和的等差数列之推导(压缩版.ipynb) | 立方数之和与算术级数 (压缩版) (Compressed version of sum of cubes using arithmetic sums) |
| [立方数之和与算术级数.ipynb](translated-notebooks/离散数学/数列与级数/立方数列求和/立方和的等差数列之推导.ipynb) | 立方数之和与算术级数 (Sum of cubes using arithmetic sum formulas) |
| [立方数之和与平方数之和.ipynb](translated-notebooks/离散数学/数列与级数/立方数列求和/立方和的平方和之推导.ipynb) | 立方数之和与平方数之和的关系 (Relationship between sum of cubes and sum of squares) |
| [立方数之和与对称和.ipynb](translated-notebooks/离散数学/数列与级数/立方数列求和/立方和的对称和之推导.ipynb) | 立方数之和与对称和 (Sum of cubes using symmetric sum approach) |
| [平方数之和与算术级数.ipynb](translated-notebooks/离散数学/数列与级数/平方数列求和/平方和的等差数列之推导.ipynb) | 平方数之和与算术级数 (Sum of squares using arithmetic sum formulas) |
| [平方数之和与对称和.ipynb](translated-notebooks/离散数学/数列与级数/对称之和/平方求和之对称之和.ipynb) | 平方数之和与对称和 (Sum of squares using symmetric sum approach) |
| [偶数对称和.ipynb](translated-notebooks/离散数学/数列与级数/对称之和/偶数之对称之和.ipynb) | 偶数对称和 (Symmetric approach to summing even numbers) |
| [奇数对称和.ipynb](translated-notebooks/离散数学/数列与级数/对称之和/奇数之对称之和.ipynb) | 奇数对称和 (Symmetric approach to summing odd numbers) |
| [平方和的对称和之推导.ipynb](translated-notebooks/离散数学/数列与级数/平方数列求和/平方和的对称和之推导.ipynb) | 平方和的对称和之推导 (Derivation of sum of squares using symmetric sum) |

## Usage

Expand Down Expand Up @@ -256,4 +256,3 @@ Contributions are welcome! If you'd like to contribute:

This project is licensed under the MIT License - see the [LICENSE](LICENSE) file for details.


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