RollMath

12 条数学生成律

从"会数数"自然生长出整个数学宇宙

S1

数与量

Counting → Place Value

"If you can count to 10, you can count to 100."

思想源头:印度-阿拉伯数字体系
S2

迭代与重复

Iteration → Recursion

"If you can repeat, you can predict."

思想源头:欧几里得算法
S3

逆与平衡

Inverse & Balance

"If you can do, you can undo."

思想源头:代数学
S4

结构与括号

Grouping → Structure

"If you can group, you can simplify."

思想源头:Hilbert 公理化
S5

映射与变量

Function → Rule

"If you can see a pattern, you can name it."

思想源头:欧拉函数思想
S6

比例与缩放

Ratio → Scale

"If you can compare, you can scale."

思想源头:伽利略相似思想
S7

变化与差分

Change → Rate

"If you can compare change, you can predict motion."

思想源头:牛顿微积分思想
S8

对称与变换

Symmetry → Transform

"If you can move it, you can see its invariance."

思想源头:伽罗瓦、克莱因
S9

计数与可能

Counting → Probability

"If you can count possibilities, you can measure chance."

思想源头:Pascal三角
S10

误差与聚合

Error → Statistics

"If you can measure variation, you can predict reality."

思想源头:高斯曲线
S11

形到数

Geometry → Algebra

"If you can measure, you can express."

思想源头:笛卡尔解析几何
S12

抽象与表示

Abstraction → Representation

"If you can express it differently, you can understand it deeply."

思想源头:现代建模与AI

每条链独立自洽,无交叉依赖