4cbf9bd4-d690-4613-adbf-e4e46d4f5579 51 6 12 decimal

&[DATE] &[TIME] - &[FILENAME]

IS sum() has A WYSIWYG bug?

x f x sin :

a.0 12 π * / x f x π - π int * :

n a 1 π / x f n x * cos * x π - π int * :

n b 1 π / x f n x * sin * x π - π int * :

N 6 :

Perfectly formated formula, but wait... x S a.0 n a n x * cos * n b n x * sin * n 1 N sum + n 1 N sum + :

The result is not what was expected...

x sin x π 2 / + S 2 1 sys

x S1 a.0 n a n x * cos * n 1 N sum (+ n b n x * sin * n 1 N sum + :

Here is what was expected.

x sin x π 2 / + S1 2 1 sys

WHY IS S(0)= 6 ?

0 S 1.200197 1015 -^* -

I WAS EXPECTING S1(0)= 1, SO IT IS

This is a WYSIWYG formula x S2 a.0 n a n x * cos * n b n x * sin * n 1 N sum + (n 1 N sum + :

Here too, is what was expected.

x sin x π 2 / + S2 2 1 sys

# # ≡

0 S2 1.200197 1015 -^* -

HERE I AM EXPECTING S2(0)= 6, SO IT IS

FLAWED WYSIWYG ??? x S a.0 n a n x * cos * n b n x * sin * n 1 N sum + n 1 N sum + :

THE FIRST SUM CONTAINS EVERYTHING TO THE RIGHT OF IT, IT IS EQUIVALENT TO S2(x):

This is a WYSIWYG formula x S2 a.0 n a n x * cos * n b n x * sin * n 1 N sum + (n 1 N sum + :

FLAWED WYSIWYG ??? x S a.0 n a n x * cos * n b n x * sin * n 1 N sum + n 1 N sum + :