Jomon Multiplication

Example The author considers 1 * 3 = 3. Figure 1 shows 1 * 3 = 3. 1. The author gets the zero points. 2. The author adds the one point to the zero points. 3. The author gets the one point. 4. The author adds the one point to the one point. 5. The author gets the two points. 6. The author adds the one point to the two points. 7. The author gets the three points. The author rewrites the list as one sentence. 8. The author adds the one point to the second result, where the author adds the one point to the first result, where the author adds the one point to the zeroth result. The author rewrites the sentence by multiplication. 9. The author multiplies the one point by three. Generalization The author generalizes the above multiplication. There exists a multiplication x0 * x1 * x2 * … * x(n-1) * xn. 10. The author multiplies the (n-1)th result by xn, where the author multiplies the (n-2)th result by x(n-1), …, where the author multiplies the zeroth result by x1. Definition The author defines multiplication by addition which has already been defined. Definition 1. A multiplication of xm points by xn is an action where the author adds xm points to the (n-1)th result, where the author adds xm points to the (n-2)th result, …, where the author adds xm points to the zeroth result.