Principle of Dual Multiplication by Difference
(Or Blake's Principle)
A note from the future:
A note from the future:
Principle originally defined in 2015, but it wasn't until 2017 that I was able to figure out a single formula for it. This was published for posterity, though the original paper/formula is sound, it isn't particularly articulate.
The paper:
The explanation of the principle is that if you take any number and find the lowest number of the next digit count you can take the difference between those two numbers and minus it from the larger number and end up with the original number multiplied by two.
The name just about explains the entire principle. Following the pattern of other less-intuitive names for just about anything involving math or science, I set out to create a name that over-explained the nature of the principle and I think I found it. The goal of the principle is to take any number and multiply it by two in a more complicated way. The practical application of this formula is for academic critical thinking (to be taught in classrooms). As for industrial or professional uses, I cannot think of any.
The formula uses the difference relative to the original number and the lowest number of the next digit count relative to that number, this number is represented by y. For example, if I wanted to use the number 7 the next digit count would be 2 and the lowest number of that digit count is 10 so this would be my y. If I wanted to use the number 3,581 then the next digit count would be 5 and the lowest number of that digit count would be 10,000 and this would be my y. After you have the y the formula can be plugged into easily. I have a few variations of the formula depending on its need.
As previously mentioned the only practical application for this formula that I can think of would be a lesson in critical thinking in schools.
Sincerely,
Blake Gillman
The explanation of the principle is that if you take any number and find the lowest number of the next digit count you can take the difference between those two numbers and minus it from the larger number and end up with the original number multiplied by two.
The name just about explains the entire principle. Following the pattern of other less-intuitive names for just about anything involving math or science, I set out to create a name that over-explained the nature of the principle and I think I found it. The goal of the principle is to take any number and multiply it by two in a more complicated way. The practical application of this formula is for academic critical thinking (to be taught in classrooms). As for industrial or professional uses, I cannot think of any.
The formula uses the difference relative to the original number and the lowest number of the next digit count relative to that number, this number is represented by y. For example, if I wanted to use the number 7 the next digit count would be 2 and the lowest number of that digit count is 10 so this would be my y. If I wanted to use the number 3,581 then the next digit count would be 5 and the lowest number of that digit count would be 10,000 and this would be my y. After you have the y the formula can be plugged into easily. I have a few variations of the formula depending on its need.
The universal formula, which is the shortest representation of the principle:
a = y + (x - d) = (2x)
simplified:
2x = y + (x - d)
simplified:
2x = y + (x - d)
where a is the answer, x is the number to be multiplied and d is the difference between x and y
The calculator formula, which is a formula created for quickly plugging numbers into a calculator:
a = y + (x + (x - y))
The 2-step formula, for solving on paper:
s = x + (x - y)
a = y + s
The 3-step formula, for solving on paper:
s = x - y
r = x + s
a = y + r
As previously mentioned the only practical application for this formula that I can think of would be a lesson in critical thinking in schools.
Sincerely,
Blake Gillman
Just got here via the Unity Store!
ReplyDeleteMarvellous stuff to read, Blake, and congrats on your formula!
I'm "Vertexx" and I was looking at your BPool asset and wondering if there were some instructions or manual available?
Thanks..