#electrical engineering
Beyond Descartes - Part 3
Logic Gates and Switches: Introduction
(continued from here)
It has been often noted throughout this work that mandalic geometry does not view points as fundamental geometrical elements in the manner Descartes and Euclid do. It considers them to be evanescent communions of two or more dimensions. This alternative perspective conveys further the insight that such conjoint formative interface locations both separate and connect. They are both boundaries and tipping points between all the participating dimensions, what I have whimsically referred to previously as dimension interchange lanes. This is a far cry from the way Descartes regards and handles hispoints.
Descartes’points are locations, pure and simple, defining occupants of a uniform geometrical space. They don’t really doorattempt anything; they simply are. They do not act, but are acted upon by the equations of Cartesian geometry. The points themselves, for all the reality Descartes attempts to imbue them with, turn out, when the curtain is drawn, to be no more capable of mustering an original thought than is the Scarecrow in L. Frank Baum’s The Wonderful Wizard of Oz. Being of feeble mind themselves, they just sit there awaiting brainy algebra to act upon them. In and of themselves, beyond determining location, they are essentially impotent.[1]
A useful way to apprehendpoint locations of mandalic coordinates is to interpret them as logic gates which can handle transition operations in a variety of different ways depending upon the dimension amplitudes verged on. Passage through such locations is potentially bidirectional, in theory if not always in actuality at a given moment, so they accommodate both convergent and divergent flows throughout varied amplitude levels of the mandalic structure. To wit, they can promote both differentiationandpotentialization phases of an evolving process. Because these points arise through confluence of dimensions, they bear within their transitory being information imparted by the participating dimensions. Contrary to Descartes’ simpleminded points, these points have the capacity to encode an intelligence derived from their parent dimensions.[2]
In electrical engineering,aswitch is an electrical component that can control an electrical circuit by initiating or interrupting the current or by diverting it from one conductor to another. The most usual configuration consists of a manually operated electromechanical device having one or more sets of electrical contacts. These contacts are connected to external circuits. Each set of contacts can be in either of two states: either “closed” meaning the contacts are touching and electricity can flow between them, or “open”, meaning the contacts are separated in which case the switch is nonconducting. The mechanism that brings about the transition between these two states - openorclosed - can be either a “toggle” (flip switch for continuous “on” or “off”) or “momentary” (depress and hold for “on” or “off”) type.
Understand that logic gates don’t apply only to electronic devices nor are they controlled only by such devices. The concepts and methodologies involved go far beyond simple electronics.
Logic gates are primarily implemented using diodes or transistors acting as electronic switches, but can also be constructed using vacuum tubes, electromagnetic relays (relay logic), fluidic logic, pneumatic logic, optics, molecules, or even mechanical elements. With amplification, logic gates can be cascaded in the same way that Boolean functions can be composed, allowing construction of a physical model of all of Boolean logic, and therefore, all of the algorithms and mathematics that can be described with Boolean logic. Wikipedia
For our purposes here and now, we need only mention that scalar numbers and vectors can be implemented in the context of Boolean logic as well. Indeed, the incessant complex cotillion performed by subatomic particles can likely be subjected to such an analysis or one similar.[3] And, of course, also digital circuits and computer architecture.
This has been just an introductory teaser to the topic of logic gates in mandalic geometry. I’m getting my feet wet now myself. This is all still quite new to me so we’ve barely scratched the surface here. An upcoming post will survey the logic gates and switches identifiable among groups of transliteration Cartesian coordinates and mandalic coordinates. This may take a while to materialize, but I think will be worth the wait. And in case I forget to bring up the subject of how fractals fit into all this sometime in the next month or two, remind me please that I intended to.
(continuedhere)
Notes
[1] This could be a mathematician’s beautiful dream, but a physicist’s abhorrent nightmare.
[2] Although this statement pertains especially to composite dimension points, it is true, to a degree, of ordinary three-dimensional points as well when viewed in a manner similar to that using trigram tranliterations of Cartesian triads. This means then that Cartesian coordinates could do the same and to the same degree, if they were handled in the same manner as trigram coordinates are. The point is they are not and presumably never were.
[3] With that last remark I likely committed quantum mechanical heresy. If I in fact did, so be it. If it doesn’t quite hit the intended mark we can refer to it as steampunk mechanics.
Image (lower): Boolean lattice of subsets. KSmrq. Licensed under CC BY-SA 3.0viaCommons.
© 2015 Martin Hauser
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Scroll to bottom for links to Previous / Next pages (if existent). This blog builds on what came before so the best way to follow it is chronologically. Tumblr doesn’t make that easy to do. Since the most recent page is reckoned as Page 1 the number of the actual Page 1 continually changes as new posts are added. To determine the number currently needed to locate Page 1 go to the most recent post which is here. The current total number of pages in the blog will be found at the bottom. The true Page 1 can be reached by changing the web address mandalicgeometry.tumblr.com to mandalicgeometry.tumblr.com/page/x, exchanging my current page number for x and entering. To find a different true page(p) subtract p from x + 1 to get the number(n) to use. Place n in the URL instead of x (mandalicgeometry.tumblr.com/page/n) where
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-Page 279-
You’re talking about the small amounts of silver in solder, right? Would that completely get rid of their image or just make it look weird? And what about film cameras? Was there silver in film?
YES FILM IS DEVELOPED USING SILVER HALIDE
TIME FOR AN OBJECT LESSON IN ARCANE MATERIAL SCIENCE, MORE COMMONLY KNOWN AS ALCHEMY
SIMPLY PUT SILVER HAS NATURAL PROPERTIES THAT FUCK WITH CURSES
IMAGINE A CURSE AS A CAREFUL PATTERN MADE OF IRON OBJECTS AND IMAGINE SILVER AS A MAGNET
THE CURSE COULD BE MADE OUT OF BALL BEARINGS AND BE TOTALLY DESTROYED BY CONTACT WITH SILVER
OR IT COULD BE A HEAVY METAL CHAIN THAT UPON INTRODUCTION OF A MAGNET IS ONLY SLIGHTLY TUGGED OUT OF PLACE BUT NEVER BROKEN
VAMPIRES ARE THE RESULT OF AN ANCIENT BLOODLINE CURSE SO TAKING A PICTURE OF ONE IS SORT OF LIKE TRYING TO PAINT A PICTURE OF A VAMPIRE BY THROWING METAL DARTS AT A DARTBOARD BUT YOUR DARTBOARD IS A POWERFUL ELECTROMAGNET MEANT TO DEFLECT DARTS
MODERN ELECTRONICS ARE MUCH MORE ACCURATE AND SO THE EFFECTS OF THE CURSE/SILVER REACTION CAUSE DISTORTED IMAGES OFTEN ATTRIBUTED TO MALFUNCTION
Irene Posch and Ebru Kurbak’s Embroidered Computer uses historic gold embroidery materials to create relays (“similar to early computers before the invention of semiconductors”) that can do computational work according to simple programs; it’s installed at the Angewandte Innovation Lab in Vienna.
The top photo is a little memento mori I found in the third floor women’s restroom in my dorm building. It’s a dead moth anchored to the wall in spider’s silk. Duke is covered in spiderwebs, but somehow I almost never see any spiders at work. This makes operating in daily life easier, but also somehow, much more disquieting. Where are all these spiders? Anyway, it reminded me of the computer bug story, and since there’s still myths going around about this one, I thought I’d post the real, myth-busted account. This article is from Computerworld, and the log it refers to is pictured above.
It’s an oft-repeated tale that the grand dame of military computing, computer scientist and U.S. Navy Rear Admiral Grace Hopper, coined the terms buganddebug after an incident involving Harvard University’s Mark II calculator.
The story goes like this:
On September 9, 1945, a Harvard technical team looked at Panel F and found something unusual between points in Relay 70. It was a moth, which they promptly removed and taped in the log book. Grace Hopper added the caption “First actual case of bug being found,” and that’s the first time anyone used the word bug to describe a computer glitch. Naturally, the term debugging followed.
Yes, it’s an oft-repeated tale, but it’s got more bugs in it than Relay 70 probably ever had.
For one thing, Harvard’s Mark II came online in summer of 1947, two years after the date attributed to this story. For another thing, you don’t use a line like “First actual case of bug being found” if the term bug isn’t already in common use. The comment doesn’t make sense in that context, except as an example of engineer humor. And although Grace Hopper often talked about the moth in the relay, she did not make the discovery or the log entry.
The core facts of the story are true – including the date of September 9 and time of 15:45 hours – but that’s not how this meaning of the word bug appeared in the dictionary. Inventors and engineers had been talking about bugs for more than a century before the moth in the relay incident. Even Thomas Edison used the word. Here’s an extract of a letter he wrote in 1878 to Theodore Puskas, as cited in The Yale Book of Quotations (2006):
‘Bugs’ – as such little faults and difficulties are called – show themselves and months of intense watching, study and labor are requisite before commercial success or failure is certainly reached.
Word nerds trace the word bug to an old term for a monster – it’s a word that has survived in obscure terms like bugaboo and bugbear and in a mangled form in the word boogeyman. Like gremlins in machinery, system bugs are malicious. Anyone who spends time trying to get all the faults out of a system knows how it feels: After a few hours of debugging, any problems that remain are hellspawn, mocking attempts to get rid of them with a devilish glee.
And that’s the real origin of the term “bug.” But we think the tale of the moth in the relay is worth retelling anyway.
Since I’m not seeing her name nearly enough on the press, let’s give the attention Katie Boumandeserves. Thanks to her, we are now possible to see the first ever image of a black hole, something that people talked 200 years ago for the first time. It’s no longer a myth.
We are girls and we can be whatever we want to be. Einstein would be proud of you, Katie. Thank you!Here you can see a huge stack of hard drives she used for Messier 87’s black hole image data.