>Negative values of t can be thought of as valid, values of t that are derived from imaginary numbers can be thought of as orthogonal to the grid.
should have read the thread more!
am assuming t=0 would be ok as well, these are next steps, am still getting to point of generating any particular cell in full, positive and negative spaces.
Hmm, found that, but recall something similar about 'x' as well, but could be mistaken. >>8664 mentioned this, need to find actual source.
Ahh, found a couple references. I'm sure there are more, as Chris has been so patiently stating such similar forms of the same concepts in different ways, each time with a bit more clarity.
One pattern that might be important…
Negative x values in row 1.
Enumerate the patterns in the first row (and into negative x).
>Why is it named Q, lol??
Hmmm.. it's a helper?
Overflowing with gratitude for your patience and consistent positive injections over these months. ty.
>>6290 The following resonated reading them just now:
1 Be patient. No matter what.
…
3 Never assume the motives of others are, to them, less noble than yours are to you.
4 Expand your sense of the possible.
…
7 Tolerate ambiguity.
…
25 Endure.
Funny AA, almost posted this last night. Regarding the Pythagorean primes, thought it was making sense but was digging deeper to try and understand. Found this: (https://en.wikipedia.org/wiki/Sum_of_two_squares_theorem ; see pic attached).
"The prime decomposition of the number 2450 is given by 2450 = 2 · 5^2 · 7^2. Of the primes occurring in this decomposition, 2, 5, and 7, only 7 is congruent to 3 modulo 4. Its exponent in the decomposition, 2, is even. Therefore, the theorem states, it is expressible as the sum of two squares. Indeed, 2450 = 7^2 + 49^2."
"The prime decomposition of the number 3430 is 2 · 5 · 7^3. This time, the exponent of 7 in the decomposition is 3, an odd number. So 3430 cannot be written as the sum of two squares."
what if we need to Square each helper in the q series?
>as well as answering questions between now and Sunday
So… given it seems q&(a') has been extended a bit, am wondering if we took a number such as 17, and then used 17^2 (instead of just exponent of '1' for the q-series, what are the implications? Can this help us? Sort of spit balling but curious about exponents.
..and, what about Vectors in all this??
>>8706 mm
>>8777 if it weren't for the trips…
>>8758 did you get BigInt running? See >>8750 ,will help. Fire it up and you'll be cooking w/ gas!