Archimedes Plutonium

2019-04-23 17:47:29 UTC

Newsgroups: sci.math

Date: Tue, 23 Apr 2019 10:38:02 -0700 (PDT)

Subject: The gap in Old Math Algebra theory of the property _rapid_ as in

Division = rapid subtraction, Multiplication = rapid addition

From: Archimedes Plutonium <***@gmail.com>

Injection-Date: Tue, 23 Apr 2019 17:38:03 +0000

The gap in Old Math Algebra theory of the property _rapid_ as in Division = rapid subtraction, Multiplication = rapid addition

The gap in Old Math Algebra theory of the property _rapid_ as in Division = rapid subtraction, Multiplication = rapid addition

Now there is a gap in Old Math theory of algebra. They covered "inverse" concept by noting that subtraction was the reverse of addition and division was the reverse of multiplication. Their "inverse" is okay.

However, they fell on their swords, so to speak for they never had a concept of why subtraction was related to division and addition was related to multiplication. No concept at all. They only in passing mention that division and subtraction share some traits.

That relationship is Multiplication = Rapid Addition

Division = Rapid Subtraction

Old Math saw the relationship of Reverse and called it Inverse, which is alright.

But Old Math never saw the relationship of Rapid add or Rapid subtract. They never saw it for they never gave it a name. If they had known of it, they would have named that property.

The best name I give that concept is "Rapid". But it likely is connected to calculus where the rapid addition ends up being integral and rapid subtraction ends up being the derivative, for derivative in one context is the speed. So I could call it Division = speed subtraction. But in Calculus today, Old Math never recognized the dy+dx nor the dy-dx (dx-dy). They only recognized the dy/dx and dy*dx.

It is an important concept for it provides the link up of subtraction with division and permits the proof that Negative Numbers cannot exist. Since it is not allowed to divide by 0, then because, division is rapid subtraction. There must exist a barrier of 0 in subtraction. If you have division by 0 undefined, means that barrier is in subtraction and where that barrier surfaces in subtraction is to say-- you cannot subtract more than is available-- you cannot go beyond 0 and have negative numbers.

So, I have been looking for a concept of RAPID in Old Math. Sure, they had a concept of Reverse which they named "inverse". But I rather cotton on to reverse is better, but either will do. Unfortunately Old Math had no concept of "Rapid". Sure, Old Math knew of this relationship connection between multiplication and addition, and especially between subtract and divide, but Old Math never took time out to detail this relationship and give it a name.

I cotton on to "Rapid" is a excellent Algebra term. This is for my new book Teaching True Mathematics which is to come out shortly.

AP

Date: Tue, 23 Apr 2019 10:38:02 -0700 (PDT)

Subject: The gap in Old Math Algebra theory of the property _rapid_ as in

Division = rapid subtraction, Multiplication = rapid addition

From: Archimedes Plutonium <***@gmail.com>

Injection-Date: Tue, 23 Apr 2019 17:38:03 +0000

The gap in Old Math Algebra theory of the property _rapid_ as in Division = rapid subtraction, Multiplication = rapid addition

The gap in Old Math Algebra theory of the property _rapid_ as in Division = rapid subtraction, Multiplication = rapid addition

Now there is a gap in Old Math theory of algebra. They covered "inverse" concept by noting that subtraction was the reverse of addition and division was the reverse of multiplication. Their "inverse" is okay.

However, they fell on their swords, so to speak for they never had a concept of why subtraction was related to division and addition was related to multiplication. No concept at all. They only in passing mention that division and subtraction share some traits.

That relationship is Multiplication = Rapid Addition

Division = Rapid Subtraction

Old Math saw the relationship of Reverse and called it Inverse, which is alright.

But Old Math never saw the relationship of Rapid add or Rapid subtract. They never saw it for they never gave it a name. If they had known of it, they would have named that property.

The best name I give that concept is "Rapid". But it likely is connected to calculus where the rapid addition ends up being integral and rapid subtraction ends up being the derivative, for derivative in one context is the speed. So I could call it Division = speed subtraction. But in Calculus today, Old Math never recognized the dy+dx nor the dy-dx (dx-dy). They only recognized the dy/dx and dy*dx.

It is an important concept for it provides the link up of subtraction with division and permits the proof that Negative Numbers cannot exist. Since it is not allowed to divide by 0, then because, division is rapid subtraction. There must exist a barrier of 0 in subtraction. If you have division by 0 undefined, means that barrier is in subtraction and where that barrier surfaces in subtraction is to say-- you cannot subtract more than is available-- you cannot go beyond 0 and have negative numbers.

So, I have been looking for a concept of RAPID in Old Math. Sure, they had a concept of Reverse which they named "inverse". But I rather cotton on to reverse is better, but either will do. Unfortunately Old Math had no concept of "Rapid". Sure, Old Math knew of this relationship connection between multiplication and addition, and especially between subtract and divide, but Old Math never took time out to detail this relationship and give it a name.

I cotton on to "Rapid" is a excellent Algebra term. This is for my new book Teaching True Mathematics which is to come out shortly.

AP