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13-Digit Decimal 13數字十進制

價格:免費

更新日期:2015-08-08

檔案大小:1.1M

目前版本:5.8

版本需求:Android 2.2 以上版本

官方網站:mailto:loengdzoenman@gmail.com

13-Digit Decimal 13數字十進制(圖1)-速報App

這計數機是在十進制系統中新增了三個數字③=3.333...,⑥=6.666...,⑨=9.999...,看看計算的結果。

關於③和⑥:

十進制系統常用的數字是2和5,要避免使用3,因為常遇到不盡循環。事實是3的用途比5大。若在十進制中增加③和⑥兩個數字,例如發行$③和$0.③等貨幣單位,可以免去除以3所出現的麻煩,連除以6也一併解決。

關於⑨:

其實每個整數都有兩個無窮小數表示法,如

3 = 3.000... = 2.999...

如果配合③和⑥,在十進制數字中再增加一個⑨來代表9.999...,那麼,⑨和10的數值相同,⑨是個未進位的10。人類自古以來是採用立即進位法,9之後是10,所以缺乏未進位十的符號。未進位的10有什麼作用?

首先,例如叫做80年代,是人們看見80-89都是8字,就視為同一組。這是對十個一組的誤用,因為這不具十倍數的意義。

其次是電腦學的第0。十個一組,1至10需要兩位數表示,0至9只需要一位數。所以強行把數字改為以第0開始,把問題解決,也會變得工整對稱(以1開始會不工整)。但是以0來代表第一個數字,這不合常理,也造成混亂。(需然電腦是二進制的,但情況是相同。)

如果最小的單位不立即進位的話,即 ... 8 9 ⑨ 11 12 ...,這就消除了對十個一組的誤用,及10需要兩位數表示的問題,亦合理地以1開始,而且同樣也會工整對稱。

13-Digit Decimal 13數字十進制(圖2)-速報App

任可意見請電郵至loengdzoenman@gmail.com

This calculator is adding three digits to normal decimal system.

The new three digits are ③=3.333...,⑥=6.666...,⑨=9.999...。

About ③ and ⑥

Decimal system always avoid to use 3, because it is easy to get unending figure, so use 2 and 5 instead. But in fact, 3 is more useful than 5. If we add ③ and ⑥ to our decimal system, for example, $③note and $0.③coin, it will solve the trouble of divided by three, and also divided by six.

About ⑨

In fact, every integer can express in two circulating decimals, e.g. 3 = 3.000... = 2.999.... To match with ③ and ⑥, if we add one more digit ⑨ to represent 9.999... in decimal system, ⑨ will be an un-carry 10. Human being developed number system with carry at once . What is the usage of un-carry 10?

First. For instance , "eighties" is people find that 80-89 beginning with 8. It is a misunderstanding of "a group of ten". It is not multiple of ten.

Second, zeroth in computing. In group of ten, 1-10 need two digits, but 0-9 only one. So, computing solve the problem by force to begin with 0 not 1. It also become symmetrically. However, to begin with 0 is against the common sense, and make trouble. (The situation is the same with binary system.)

If the smallest unit not carry at once, i.e. ... 8 9 ⑨ 11 12, it will eliminate misuse of group of ten, and problem of 10 with two digits. It is also symmetrically.

13-Digit Decimal 13數字十進制(圖3)-速報App

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