算盤是獨一無二最最棒的數學教具,
代數幾何數論延伸定理邏輯證巧妙,
眼看手動專注勤演手腦並用解原本,
控帶四時經緯三才自然推進物成務,
識者精熟致富世紀三十無盡寶家傳。
The abacus is the most unique and best mathematics teaching aids,
Algebraic geometry of numbers extends Theorem clever logic card,
Seeing the manual focus frequently played hands and brain original solution,
Control with natural seasons Jingwei Mio propellant into service,
Those who know the endless treasure mastery Century wealth of thirty well-known.
❶算盤的歸零是自然法則。
一段的算盤:
算珠往下,往上都歸零。
例如每檔十珠的十檔百珠俄羅斯算盤,歸零後就是11進位制算盤。
這時你我面對著面,我往前,你往前,
開始撥珠對打,所以任何算盤,
歸零後就是對打算盤。
算盤的代數式11=10 +1,
「+1」就是「加上0」這個數碼,
因此任何(一段盤)算盤的代數式,
進位值 = 珠數 +1 (一段盤),
E = A +1,
E是進位值,A是每檔珠數,
所以每檔珠數1個,則1 +1=2,
它是二進制算盤。
而每檔珠數4個,則4 +1=5,是五進制算盤,例如上一下四的日本算盤,
上段是二進制盤,下段是五進制盤。
∵A=0 即無珠盤, ∴A≧1 則 E≧2,
E = A +1 堪稱 代數基本式
❷基本代數式
一段算盤:
珠數 +1 = 進位值,
A +1 = E
二段算盤:
(珠數+1)×(珠數+1) = 進位值,
(A+1)× (B+1) = E
三段算盤:
(A+1)×(B+1)×(C+1) = E
四段算盤:
(A+1)×(B+1)×(C+1)×(D+1)=E
依此類推,沒有上限,,,
圖示 : 易算盤順反雙向歸零盤面。
由上而下四段,每段各有1,2,3,4珠數,
(1+1)×(2+1)×(3+1)×(4+1)=120
各段1,2,3,4珠數,各當1,2,6,24值,
1×1+2×2+6×3+24×4=119
”滿檔數119” 所以是 ”120進位”,
若此盤要對打則另一方是,
段4,3,2,1珠數,各當1,5,20,60值
1×4+5×3+20×2+60×1=119
❸ 圖示的進位分別是由上往下
一段盤的2、3、4、5進位制。
上二段盤6進位制,(1+1)×(2+1)=6,
中二段12進位制,(2+1)×(3+1)=12,
下二段4×5是20進數,
上三段2×3×4=24進數,
下三段3×4×5=60進數,
全盤2×3×4×5=120進數,
任何算盤歸零後都是對打盤,
正方、反方都是「向前走」,
它的哲理啟發了「生命意義」。
Calculate the return of the abacus is the law of nature.
An abacus:
Bead down, go up to zero.
For example, each file ten beads of ten pieces of 100 beads of Russian abacus,
after zero is 11 carry plate.
Then you and I face the face, I move forward, you forward,
Began to beat the bead, so any abacus,
After the zero is on the plan.
Abacus 11 = 10 +1,
"+1" is "plus 0" this number,
So any (a disk) abacus algebra,
Carry value = beads number +1 (a disk),
E = A +1,
E is the carry value, A is the number of stakes per stall,
So each stall number 1, then 1 + 1 = 2,
It is a binary abacus.
And each stall number 4, then 4 +1 = 5, is the pentad abacus, for example,
on the next four Japanese abacus,
The upper section is a binary disk and the lower section is a pentad disk.
∵ A = 0 that is no bead, ∴ A ≧ 1 E ≧ 2,
E = A +1 is called algebraic basic
❷ basic algebra
An abacus:
Beads number +1 = carry value,
A +1 = E
Two abacus:
(Bead number +1) × (bead number +1) = carry value,
(A + 1) × (B + 1) = E
Three abacus:
(A + 1) × (B + 1) × (C + 1) = E
Four abacus:
(A + 1) × (B + 1) × (C + 1) × (D + 1) = E
And so on, no upper limit ,,,
Illustration: easy to calculate the disk back and forth two-way zero disk.
From top to bottom four, each paragraph has 1,2,3,4 beads,
(1 + 1) × (2 + 1) × (3 + 1) × (4 + 1) = 120
Each paragraph 1,2,3,4 beads, each of the 1,2,6,24 value,
1 × 1 + 2 × 2 + 6 × 3 + 24 × 4 = 119
"Full number 119" so it is "120 carry"
If this dish is to fight the other side is,
Section 4,3,2,1 beads, each of the 1,5,20,60 value
1 × 4 + 5 × 3 + 20 × 2 + 60 × 1 = 119
❸ icon of the carry, respectively, from top to bottom
A disk of 2,3,4,5 carry system.
(1 + 1) × (2 + 1) = 6,
(2 + 1) × (3 + 1) = 12,
The next two paragraphs 4 × 5 is 20 into the number,
The upper three paragraphs 2 × 3 × 4 = 24 into the number,
The next three paragraphs 3 × 4 × 5 = 60 into the number,
The whole 2 × 3 × 4 × 5 = 120 into the number,
Any abacus is zero after the hit,
Square, anti-side are "forward"
Its philosophy inspired "life meaning".
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