#electrical engineering

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Beyond Descartes - Part 3
Logic Gates and Switches: Introduction

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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

Please note:  The content and/or format of this post may not be in finalized form. Reblog as a TEXT post will contain this caveat alerting readers to refer to the current version in the source blog. A LINK post will itself do the same. :)


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
n = x + 1 - p. :)

-Page 279-

Images from the Wikimedia Commons Napier’s Bones category.“Napier’s bones are a manually-operaImages from the Wikimedia Commons Napier’s Bones category.“Napier’s bones are a manually-operaImages from the Wikimedia Commons Napier’s Bones category.“Napier’s bones are a manually-operaImages from the Wikimedia Commons Napier’s Bones category.“Napier’s bones are a manually-operaImages from the Wikimedia Commons Napier’s Bones category.“Napier’s bones are a manually-operaImages from the Wikimedia Commons Napier’s Bones category.“Napier’s bones are a manually-operaImages from the Wikimedia Commons Napier’s Bones category.“Napier’s bones are a manually-operaImages from the Wikimedia Commons Napier’s Bones category.“Napier’s bones are a manually-operaImages from the Wikimedia Commons Napier’s Bones category.“Napier’s bones are a manually-operaImages from the Wikimedia Commons Napier’s Bones category.“Napier’s bones are a manually-opera

Images from the Wikimedia Commons Napier’s Bones category.

Napier’s bones are a manually-operated calculating device created by John Napier of Merchiston, Scotland for calculation of products and quotients of numbers. The method was based on Arab mathematics and the lattice multiplication used by Matrakci Nasuh in the Umdet-ul Hisab and Fibonacci’s work in his Liber Abaci. The technique was also called Rabdology. Napier published his version in 1617 in Rabdology, printed in Edinburgh, Scotland, dedicated to his patron Alexander Seton.” (Wikipedia).


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Book review:  REALLY thorough explanation of the history and inner workings of the Antikythera mecha

Book review:  REALLY thorough explanation of the history and inner workings of the Antikythera mechanism!  For anyone who needs a refresher, the Antikythera mechanism is “an ancient Greek analogue computer used to predict astronomical positions and eclipses for calendar and astrological purposes decades in advance … retrieved from the sea in 1901 … among wreckage retrieved from a wreck off the coast of the Greek island Antikythera” [Wikipedia].  I’m a real ancient tech buff, and it was too detailed even for me, so I just flipped through like a magazine, perusing the graphics and reading the parts that caught my eye.  Cool stuff!  Highly recommend for academic research or just to add to your computer science and/or history libraries.


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normal-horoscopes:

peel-a-potato-with-a-potato:

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

From Wikipedia:  “In electronics, a vacuum tube, an electron tube, or valve (British usage) or, coll

From Wikipedia:  “In electronics, a vacuum tube, an electron tube, or valve (British usage) or, colloquially, a tube (North America), is a device that controls electric current flow in a high vacuum between electrodes to which an electric potential difference has been applied.”

The above photo is of “later thermionic vacuum tubes, mostly miniature style, some with top cap anode connections for higher voltages.”

Eine Zusammenstellung von Elektronenröhren.

Von links nach rechts:
5676 (Mini-Triode)
EAA91 (Doppel-Diode)
1T4 / DF91 (Batterieröhren-Pentode)
ECC82 (Doppel-Triode)
ECF80 (Triode und Pentode in einer Röhre)
EZ80 (Doppel-Netzgleichrichterdiode)
Wahrscheinlich DY86 (Hochspannungsdiode)
EY88 (Leistungsdiode)

2SH27L in einem unpassenden Sockel (Russische Pentode)


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mostlysignssomeportents:

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.

https://boingboing.net/2019/01/13/irene-posch.html

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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.

thatsogerman:

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.

Margaret Hamilton, lead Apollo flight software engineer, in the Apollo Command Module, circa late 19

Margaret Hamilton, lead Apollo flight software engineer, in the Apollo Command Module, circa late 1960s.


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1915 illustration of Elisha Gray’s telautograph system, an instrument designed for the electrical re

1915 illustration of Elisha Gray’s telautograph system, an instrument designed for the electrical reproduction of handwriting.


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Jagadish Chandra Bose with other prominent scientists and engineers at Calcutta University, circa 19

Jagadish Chandra Bose with other prominent scientists and engineers at Calcutta University, circa 1920s. Bose was born in Bikrampur (present day Munshiganj in Bangladesh) and made many pioneering developments to radio research in the 1880s. Seated, left to right: Meghnad Saha, Jagadish Chandra Bose, Jnan Chandra Ghosh. Standing, left to right: Snehamoy Dutt, Satyendranath Bose, Debendra Mohan Bose, N. R. Sen, Jnanendra Nath Mukherjee, N. C. Nag.


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Alfred Norton Goldsmith, a founder of the Institute of Radio Engineers, one of the predecessor socie

Alfred Norton Goldsmith, a founder of the Institute of Radio Engineers, one of the predecessor societies to the modern IEEE, with Italian Nobel laureate Guglielmo Marconi, June 26th, 1922.


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Record matrix room, Berliner Gramophone Company, Montréal, Québec, 1910.

Record matrix room, Berliner Gramophone Company, Montréal, Québec, 1910.


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Iranian newspaper clip, 1968 which reads: “A quarter of Iran’s Nuclear Energy scientists

Iranian newspaper clip, 1968 which reads: “A quarter of Iran’s Nuclear Energy scientists are women.” The picture shows five female Iranian PhDs posing in front of Tehran’s research reactor.


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1902 photograph of the French submarine Gymnote. The submarine was initially constructed in 1888, wi

1902 photograph of the French submarine Gymnote. The submarine was initially constructed in 1888, with the small conning tower added in 1898. The Gymnote was one of the world’s first all-electric submarines and the first functional submarine equipped with torpedoes.


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Else Marie Pade, monitoring her Faust suite composition, 1962. During World War II she was involved

Else Marie Pade, monitoring her Faust suite composition, 1962. During World War II she was involved with the Danish resistance and began composing music after she was arrested by the Gestapo in 1944 and sent to Frøslev Prison Camp. Pade was one of the earliest electroacoustic composers from Denmark and worked with Pierre Schaeffer, Karlheinz Stockhausen, and Pierre Boulez.


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Caroline Haslett circa 1924, when she became director of the Electrical Association for Women.

Caroline Haslett circa 1924, when she became director of the Electrical Association for Women.


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Toshiko Yuasa, 1947. Yuasa was a nuclear physicist who worked in France at the Centre national de la

Toshiko Yuasa, 1947. Yuasa was a nuclear physicist who worked in France at the Centre national de la recherche scientifique, and published a 1954 article warning of the dangers of hydrogen-bomb testing at Bikini Atoll.


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Jörg Mager playing a Spherophone, an early electric instrument invented by Mager, at the 1926 summer

Jörg Mager playing a Spherophone, an early electric instrument invented by Mager, at the 1926 summer music festival in the Black Forest town of Donaueschingen.


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1912 Harrisburg Light and Power Company advertisement.

1912 Harrisburg Light and Power Company advertisement.


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U.S. Census Bureau employees, circa 1960s, with the Film Optical Sensing Device for Input to Compute

U.S. Census Bureau employees, circa 1960s, with the Film Optical Sensing Device for Input to Computers (FOSDIC), a device used to transfer data from paper questionnaires to microfilm.


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Melba Roy, January 1st, 1964. Roy headed the group of NASA mathematicians, known as “computers

Melba Roy, January 1st, 1964. Roy headed the group of NASA mathematicians, known as “computers,” who tracked the Echo satellites. Roy’s computations helped produce the orbital element timetables by which millions could view the satellite from Earth as it passes overhead. She went on to become Program Production Section Chief at Goddard Space Flight Center.


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Dorothy Whitaker at the National Oceanographic Data Center (NODC) magnetic tape library, circa 1960s

Dorothy Whitaker at the National Oceanographic Data Center (NODC) magnetic tape library, circa 1960s-70s.


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Thaddeus Cahill’s 1897 patent for the Telharmonium’s tonewheel mechanism, one of the ear

Thaddeus Cahill’s 1897 patent for the Telharmonium’s tonewheel mechanism, one of the earliest musical instruments to generate sound by means of electricity.


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An illustration from Charles Barnard’s 1875 short story “Kate: An Electro-Mechanical Rom

An illustration from Charles Barnard’s 1875 short story “Kate: An Electro-Mechanical Romance”. In this scene, Kate and John are installing a private telegraph line for their amorous communications using abandoned wires.


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