Through the Living Shadow

@CoderDrag0n8

I am going to make a claim. Here it is: …000000.0000000… = 0 …111111111.1111111111… = 0 …222222222.22222222… = 0 …3333333333.3333333… = 0 (and so on for every possible digit) So! The lesson to take away If a single digit repeats before and after the decimal place infinitely, that number is equal to 0 Do you want proof, my inquisitive friend? Well, you’ve come to the right place! Watson! My calculator! Imagine a number. 0.111111111… (1s repeating to infinity) This number can be called x 10x = 1.11111111… 1.1111111… is just x + 1 10x = x + 1 9x = 1 x = 1/9 So, 1 repeating infinitely to the right of the decimal is equal to 1/9 But… imagine a different number. Call the number y. y = …11111111111 (1s extending higher and higher to the left of the decimal point) Where x had a finite value, y is infinitely large. But it too has a finite value! “Great Scott!” - Watson We’ll get there. …111111111111111 multiplied by ten is simply …11111111111110, or y - 1 10y = y - 1 y = -1/9 = -x x + y = …11111111111.11111111111… x + y = x - x = 0 …111111111111.1111111111… = 0 y is what we call a 10-adic An infinitely large number that is equivalent to another number Its called a 10 adic because it is written in base-10. But there’s a problem with 10-adics which I will explain elsewhere (not today, though) which makes mathematicians prefer what is called a p-adic, or prime-adic This is any infinite number in a prime number system Most common are 3-adics and 5-adics These are cool! But let’s think about 17-adics ”Great Scott!” - Watson It’s prime out of the goodness of my heart With 10-adics, it’s easy to think that the only adics that can zero out with rational pairs (y being the adic and x being the rational) are made of the numbers 1-10 But thats not the case G is the highest digit in base 17, representing the value of 16 Set …GGGGGGGG to θ And 0.GGGGG… to φ θ * 10 (since we are in base 17, this is actually times 17) is …GGGGGGG0, or θ - G 10θ = θ - G Gθ = -G θ = -1 ”Great Scott!” - Watson Lets think about φ now φ * 10 = G.GGGGGGGG… or 10φ=φ+G Gφ=G φ = 1 So just like before θ = -φ and …GGGGGGGGGG.GGGGGGGGG… = 0 So if we increase the size of our number system, we can fit more non-zero zeros into consideration. But we can increase as much as our heart desires! So I make a rule, in base-10, to describe all rational-adic sums that are equivalento 0 Take a function: f(x) = b(a^x) Sum the value of the function at every single integer for x, and it will always be 0 a and b can be any value at all.

Kevlish hesitated, and gave a short bow to him. “Master.”

@Keke “That…” He stopped, placing a hand on his stomach and heaving on the sidewalk that appeared next to him. A little, small bug thing fell from his mouth, growing in size until it resembled a figure, disfigured. The Scribe froze. The figure, disfigured, spoke. ”I may be able to help here. I am proxy for the Eldritch Author, itirSp.” The figure, disfigured, smiled. “Currently, I have one Plotblade, Retcon. If I perform a ritual to assume ownership of the actions that summoned the Witherlord, I can use the Plotblade to banish it. I had attempted to give myself an in to this process, but it didn’t quite work. I’ll have to start at square one, and need access to Nameless’ mind space.” The figure, disfigured, offered a phone. “I’ll keep in touch with the two of you.” It nodded, then disappeared. The Scribe unfroze, confused. “Sorry, I… I think I lost my lunch there.” He laughed. ”What were we talking about?”

Hhmmm thankee

I disagree I think there’s a separate conversion for Investiture <-> Energy and Investiture <-> Matter Like there would be three equations in total and you would consider them separately Momentum is there because of relativity n stuff—physics acts weird for observers of something when it goes fast at least that’s how I understand it Other tangent question, hedging onto WaT territory

You know, Batman could beat both with enough prep time just like Batman could beat Superman Okay my question contains WaT spoilers and it’s a continuation of Frustration’s

He shrugged. Kevlish wasn’t sure how much Aerith trusted him… “I think someone has a bounty over their head, but I don’t know how it found them. It did place a tracker at some point.”

My point is that entrails covers pretty much everything, right? I don’t think I have enough room in my head for another voice

He nodded. “Yeah.”

“…and other organs” — @Usseewa