I don’t know how … [read full article]

# Posts tagged with 'structure'

## It just means a structure of a self-connected object (set) in non-metric space.

It just means a … [read full article]

## You get it. This is the stuff I’m talking about. If you look at the physical structure of plants, particularly trees, it’s easy to envision some ultra low power control that would not hurt the trees but allow for our communication and computational capabilities to extend. I love the coral reef thing . That seems implimentable in the very near future.

You get it. This … [read full article]

## We still need better batteries for that yet. For small communities though, there’s no excuse not to go electric, and many do on their public transportation, taxis and stuff.

We still need better … [read full article]

## Lots of dead weight in corporations. Middle management, higher ups that are always off to conferences that are vacations, pushing papers. Only minimally exists? Nah, it’s pervasive.

Lots of dead weight … [read full article]

## With Pythagoras Theorem, I see a human mapping a skeleton of stress forces + finding a 2D skeleton structure that can handle its own stress forces despite size as now a reliable RATIO so long as the materials are consistent in their own structures + no external forces applied.

With Pythagoras Theorem, I … [read full article]

## Intuitionalism is powerful and I think the best bridge between pure abstraction and pragmatism. For me, the magic lies here but performs a similar function for computing and mathematics as it does for language and mathematics for you. https://en.m.wikipedia.org/wiki/Curry–Howard_correspondence

Intuitionalism is powerful and … [read full article]

## For any difficult math that’s way beyond me, I try to relate _in some fashion_ to mathematical morphology, which is used in image processing, particularly in the medical field. As it is “hands on” (using ImageJ) I was able to quickly (within a month or so) understand it and through it, any “complete lattice” as mathematical morphology is a complete lattice. Boosted my math intuition by uncountable amounts. Now it seems that while Loewner’s theorem on monotone matrix functions does NOT fit into a complete lattice model, Loewner order CAN get part way there via a notion of Sponges. https://www.degruyter.com/view/j/mathm.2016.1.issue-1/mathm-2016-0002/mathm-2016-0002.xml Alas, as I looked at it, “5.6 A non-sponge: The Loewner order The Loewner order considers a (symmetric) matrix A less than or equal to another (symmetric) matrix B if the difference B – A is positive semidefinite. This is a partial order compatible with the vector space structure of (symmetric) matrices, but it does not give rise to a lattice, or even a sponge.” So, I didn’t get a satisfying shortcut. BUT this tells me that: a) This is not only NOT in a set of complete lattices but also b) it can barely be approached in that fashion. Loewner order CAN be computed WITH CARE such as to fit the join/meet requirements in a limited fashion… but I’m getting a strong sense that whatever magic is with Loewner’s Theorem on Monotone Matrix Functions it’s simply beyond me. Still, it’s satisfying to get a tiny bit there, and I can at least chew on sponges instead for a bit.

For any difficult math