Dr Charlotte Harris

Loves maths, a dab hand at physics.

[Dr Charlotte Harris @Chararella]

Up-to-date thinking:
PN = 1 + 4 + 2 + 4 + 2 + 4 + 2 +...
This covers all Prime numbers except 2 and 3.

[Dr Charlotte Harris @Chararella]

1. An extension of LOIR for 2 digit multiplication is the structure for 3 digit multiplication.
2. The result in baseN is correctly formated, or normalised, to give an answer in base12.
3. Every number is multiplied by every other number as can be seen in this unique structure.

[Dr Charlotte Harris @Chararella]

The answer is directly from the multiplication before formatting. Base15 or other base n are needed to provide a framework for BaseN.

[Dr Charlotte Harris @Chararella]

What is [4.3.7] × [11.2.8] in BaseN?

[Dr Charlotte Harris @Chararella]

Multiply the numbers given for a resulting answer in base15.

[Dr Charlotte Harris @Chararella]

Here is an easy one:
[4.3.7] × [11.2.8] in base15

[Dr Charlotte Harris @Chararella]

Try multiplying [8.4.11] by [3.2.7] in base12. Does this process hold true for BaseN?

[Dr Charlotte Harris @Chararella]

This is an example of how to multiply [16.4.12] × [8.5.2] in base17.

[Dr Charlotte Harris @Chararella]

Multiplication of bases is a good skill to have if you like BaseN.
Try this one:

Multiply [5 . 8] × [3 . 4] in base 15.

[Dr Charlotte Harris @Chararella]

How do you find 250÷18 in base12?

[Dr Charlotte Harris @Chararella]

How do you find 250÷18 in base12?

[Dr Charlotte Harris @Chararella]

Find 200÷16 in base8 using base n division.

[Dr Charlotte Harris @Chararella]

Use base n division to find 200÷16 in base8.

[Dr Charlotte Harris @Chararella]

180÷5=36
Use long division in base7 to illustrate how you come up with the correct answer.

[Dr Charlotte Harris @Chararella]

180÷5=36
demonstrate this process in base7

[Dr Charlotte Harris @Chararella]

If you do not want a masterclass in base n division, please leave now!

Base n division is difficult but a whole lot of fun!

[Dr Charlotte Harris @Chararella]

Challenge: to calculate 24 decimal digits of Pi in 24 terms or less.

[Dr Charlotte Harris @Chararella]

I think this works out at an accuracy of 58 decimal digits of Pi.

[Dr Charlotte Harris @Chararella]

This is an extremely accurate rapid convergence high-precision accuracy of Pi demonstrated by an equation which uses the power series to "shave off" the error from the 22/7 approximation where it can be seen there is a leaning towards a Hypergeometric series.

[Dr Charlotte Harris @Chararella]

Showcasing "22/7" with 21 decimal digits of Pi...

[Dr Charlotte Harris @Chararella]

(22/7) - (22/7)^-6 - (22/7)^-7.5 - (22/7)^-9 - (22/7)^-10.5 - (22/7)^-12 -(22/7)^-13.5 = π to 7 decimal places.

[Dr Charlotte Harris @Chararella]

My "22/7" equation can be worked out on a calculator to give 7 decimal places of π in only 6 terms = 3.1415926