text:
Fractals/Iterations in the complex plane/Mandelbrot set/chaotic part

Structure of Mandelbrot set's real slice
 * Periodic part
 * chaotic part = Main antenn

Chaotic part consist of chaotic bands deliminated by primary separators ( Misiurewicz points )

= ordering and sequences of hyperbolic componnets=

ordering
ordering of hyperbolic componnets
 * Sharkovsky ordering shows
 * ordering of hyperbolic componnets along real axis ( real slice
 * order of chaotic bands and inside periodic part
 * inside chaotic band
 * period of the biggest island inside chaotic band ( first number )
 * sequence of smaller islands periods ( next numbers)
 * other orders inside chotic bands

Sharkovsky sequence inside chaotic bands
= Separators=

primary separator

 * band-merging point = point merging 2 chaotic bands $$ B_{i-1}$$ and $$ B_i$$ are Misiurewicz points $$M_{k,p}$$

$$ m_i = M_{2^i, 2^{i-1}}$$

with
 * $$k = 2^i $$ = preperiod of critical value
 * $$p = 2^{i-1}$$ = period of critical value = period of critical point

Examples:
 * $$ c = m_0 = M_{ 1, 1} \ \ =    -2$$ = tip of main antenna, external angle = 1/2
 * $$ c = m_1 = M_{ 2, 1} \ \ =    -1.543 689 012 692 076 ...$$, external angles 5 and 7/12
 * $$ c = m_2 = M_{ 4, 2} \ \ =    -1.430 357 632 451 307 ...$$, external angles 33 and 47/80
 * $$ c = m_3 = M_{ 8, 4} \ \ =    -1.407 405 118 164 702 ...$$,  external angles 1795 and 2557/4352
 * $$ c = m_4 = M_{16, 8} \ =      -1.402 492 176 358 564...$$
 * $$ c = m_5 = M_{32, 16} =       -1.401 441 494 253 588...$$
 * $$ c = m_6 = M_{64, 32}  =      -1.401 216 504 309 415..$$
 * $$ c = m_7 = M_{128, 64} =      -1.401 168 320 839 301..$$
 * $$ c = m_8 = M_{256, 128} =     -1.401 158 001 505 211..$$
 * $$ c = m_9 = M_{512, 256} =     -1.401 155 791 424 613  ..$$
 * $$ c = m_{10} = M_{1024, 512} = -1.401 155 318 093 230  ..$$
 * $$ c = m_{11} = M_{2048, 1024} = -1.401 155 216 720 152 ..$$
 * $$ c = m_{\infty} = M_{\infty, \infty } = -1.401 155 189 0 ... ...$$ = Feigenbaum point = MF = the Myrberg-Feigenbaum point
 * $$ c = m_{\infty} = M_{\infty, \infty } = -1.401 155 189 0 ... ...$$ = Feigenbaum point = MF = the Myrberg-Feigenbaum point

So the Myrberg-Feigenbaum point is a limit of a series of band-merging points $$ m_n $$:

 * $$ \lim_{n \to \infty} m_n = m_{\infty} = c_F$$

In the text form:

Differences $$ d = m_i - m_{i+1}$$ or width of the band:
 * m[ 0]-m[ 1]| = 0.4563109873079241 = 4.5631098730792408e-01
 * m[ 1]-m[ 2]| = 0.1133313802407689 = 1.1333138024076894e-01
 * m[ 2]-m[ 3]| = 0.0229525142866049 = 2.2952514286604941e-02
 * m[ 3]-m[ 4]| = 0.0049129418061380 = 4.9129418061379937e-03
 * m[ 4]-m[ 5]| = 0.0010506821049761 = 1.0506821049760529e-03
 * m[ 5]-m[ 6]| = 0.0002249899441731 = 2.2498994417308182e-04
 * m[ 6]-m[ 7]| = 0.0000481834701138 = 4.8183470113816185e-05
 * m[ 7]-m[ 8]| = 0.0000103193340901 = 1.0319334090125309e-05
 * m[ 8]-m[ 9]| = 0.0000022100805979 = 2.2100805978642057e-06
 * m[ 9]-m[10]| = 0.0000004733313832 = 4.7333138319949342e-07
 * m[10]-m[11]| = 0.0000001013730779 = 1.0137307793200989e-07
 * m[11]- MF| = 0.0000000276268373 = 2.762684e-08

Ratio $$ r_{i-1} = \frac{m_{i-1} - m_{i-2}}{m_i - m_{i-1}}$$ tends to first Feigenbaum constant r = 4.0263428040716152e+00 r = 4.9376455592452890e+00 r = 4.6718473762357968e+00 r = 4.6759545849978759e+00 r = 4.6699069544538263e+00 r = 4.6694425212966957e+00 r = 4.6692421907265809e+00 r = 4.6692116568498836e+00 r = 4.6692035988087657e+00 r = 4.6692020490583603e+00

secondary separator

 * tree separators ( tree is a subset of band )

$$ m_{i,j} = M_{(j+1)2^i - 1, 2^i}$$

=Chaotic bands=

B0
First chotic band = B0

primary separators ( Misiurewicz points )
 * $$ c = m_0 = M_{ 1, 1} \ \ =    -2$$ = tip of main antenna, external angle = 1/2
 * $$ c = m_1 = M_{ 2, 1} \ \ =    -1.543 689 012 692 076 ...$$, external angles 5 and 7/12

 * $$m_0 \prec B_0  \prec m_1$$

0 Sharkovsky sequence

 * $$m_0 \prec (2k+1)  \prec m_1$$

 * $$m_0 \prec 3 \prec 5 \prec 7 \prec ... \prec  m_1$$

Bs
s-th chotic band = $$B_s$$

 * $$m_s \prec B_s  \prec m_{s+1}$$

s-th Sharkovsky sequence

 * $$m_s \prec (2k+1)*2^s  \prec m_{s+1}$$

 * $$m_s \prec 3*2^s \prec 5*2^s \prec 7*2^s \prec ... \prec  m_{s+1}$$

=Islands= Islands

real
real component centers of Mandelbrot Set (period less than 16) by Jay R. Hill

probably computed using :
 * FINDPERC.EXE : uses 80-bit floating point arithmetic to achieve 19 digit results.
 * FINDPERM : uses 57 digits with the extended arithmetic
 * package MFLOAT by Friedrich Kaufmann. It displays results to 37 digits.

period index root 2     1 -1.000000000000000000  3      1 -1.754877666246692760  4      1 -1.940799806529484750  4      2 -1.310702641336832880  5      1 -1.985424253054205310  5      2 -1.860782522204854870  5      3 -1.625413725123303730  6      1 -1.996376137711193750  6      2 -1.966773216392928680  6      3 -1.907280091065301960  6      4 -1.772892903381623790  6      6 -1.476014642728429890  7      1 -1.999095682327018470  7      2 -1.991814172549122210  7      3 -1.977179587006257380  7      4 -1.953705894284396240  7      5 -1.927147709363950260  7      6 -1.884803571586681790  7      7 -1.832315202751229190  7     10 -1.674066091474787970  7     11 -1.574889139752300960  8      1 -1.999774048693727320  8      2 -1.997962915597714310  8      3 -1.994332966715534900  8      4 -1.988793274309471250  8      5 -1.981655786276044430  8      6 -1.972199838366875690  8      7 -1.960758987197428950  8      8 -1.941782090318198160  8     10 -1.917098277113422000  8     11 -1.896917994678832840  8     12 -1.870003880828765360  8     13 -1.851730049410641290  8     14 -1.810001385728012070  8     19 -1.711079470013152140  8     22 -1.521817231671250990  8     23 -1.381547484432061460  9      1 -1.999943521765674000  9      2 -1.999491438016398090  9      3 -1.998586588842206870  9      4 -1.997223024696578670  9      5 -1.995419032661308130  9      6 -1.993130254878976070  9      7 -1.990376381055951220  9      8 -1.987004347515046850  9      9 -1.983810249999715080  9     10 -1.979457504855952090  9     11 -1.974780858900119900  9     12 -1.969419120730898370  9     13 -1.964024336820145270  9     14 -1.957325050535698610  9     15 -1.949574903249391220  9     18 -1.932243966576093880  9     19 -1.922285778246295770  9     20 -1.911444631473453430  9     21 -1.903116773015596850  9     22 -1.890775424360235070  9     23 -1.878382601500096120  9     26 -1.841288561509692930  9     27 -1.822756322492292640  9     28 -1.785865646410673530  9     38 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=See also=
 * real slice of Mandelbrot set
 * JAKOBSON’S THEOREM
 * proof by Jean Christophe Yoccoz
 * math.stackexchange question: m-set-interior-point-probability-on-the-real-axis

=References=


text:
Perspectives in Digital Literacy/The Beauty Algorithm

Technology is taking us to places where we don't want to go. -Sherry Turkle, founding director of the MIT Initiative on Technology and Self

We are living through the technology era; everything is being or has already been changed by technology. Now technological evolution is attempting to tell us how we should look. Beauty algorithms such as the ones created by the technology company Megvii and the "facial aesthetics consultancy" Qoves have already begun to judge our looks based on parameters such as "symmetry, facial blemishes, wrinkles, estimated age and age appearance, and comparisons to actors and models." Meanwhile, to get more likes and followers on social media platforms, we have to use filters to “better” the way we look.

The problem with filters
That constant use of filters is especially unfavorable because it makes people addicted to filtering, and consequently, they don’t feel beautiful when they don’t use them. As Dr. Amy Stater, deputy director at the University of West England’s Center for Appearance Research, explains, “[t]he concern is that consistent exposure to a perfect image will leave people feeling like they don’t measure up.” In reality, filtering one’s pictures every day or seeing perfect images of others makes people insecure and makes them feel less comfortable and beautiful naturally. People always feel the constant need to retouch their pictures or videos and at some point will want to feel permanently “beautiful,”  which in some cases has led to unnecessary cosmetic surgeries that sometimes lead to death. Take the case of Solange Magnano, a former Miss Argentine who died in 2009 after a “complication arising from plastic surgery,” as reported by CNN's Marc Tutton.

The problem with beauty algorithms
The use of beauty algorithms by every social media site is intentional. Beauty algorithms were made to make us insecure about ourselves so that we will need assistance to “perfect” ourselves. As Joshi Naveen explains in “What AI is doing in the beauty and cosmetic industry," beauty algorithms help companies to increase their sales and profits. Beauty algorithms happen to be an “illusion of perfection,” which hides what digital director, writer, and creative consultant Brooke McCord calls a “disturbing truth.” She explains how the beauty algorithm is trying to convince us that it can better our looks and life, but the reality is that it is just being used to brainwash people to manipulate them. Facebook and other social media platforms are already doing this by selling us the entertainment dream to be able to spy on us, get all the information they need. At the same time,  we are connected to their platforms, and after selling our data to third parties without our acknowledgement and making money on our backs. That is exactly what Jeff Orlowski explained in his 2020 documentary The Social Dilemma.

Beauty algorithms are affecting us physically, emotionally and mentally. We are now more stressed about how we look and are desperately trying to look like the “perfect” faces and sharpened bodies we constantly have been shown by social media. In the podcast interview “The AI of Beholder” by Jennifer Strong, she explained that Computers are ranking the way people look—and the results are influencing the things we do, the posts we see, and the way we think. Ideas about what constitutes “beauty” are complex, subjective, and by no means limited to physical appearances. Elusive though it is, everyone wants more of it. That means big business and increasingly, people harnessing algorithms to create their ideal selves in the digital and, sometimes, physical worlds. During the report, Strong and everyone she interviews agrees on the same fact that beauty is a vast industry that is ready to make profits off consumers at any cost.

Behind the design
Beauty algorithms and technological inventions in general are designed by a small group of people mostly white and or asian who don’t know much about other societies' cultures. They innocently acknowledge or rely only on their own culture.And, their judgments and point of view always show up in their inventions. That clearly explains whyThe assistant Professor of Information system at Robert H. Smith School of business in college Park, Lauren Rhue,Ph.D, Found out that facial recognition programs exhibit “Two distinct types of bias”, the stereotype and racist. In fact, she demonstrated how the facial recognition software  failed to give real and objective results for each of the 400 NBA player photos from the 2016 to 2017 season she used for the experiment. Rhue believes The emotions reading Tech reflects stereotypes and prejudices since it scored black faces angrier than white faces even when they both had the same smile. She also attested that facial recognition programs as well as beauty algorithms are coded in favor of one group (whites), excluding others, especially blacks.

Why would a program designed to be used by everyone focus only on one group of people and ignore other people’s reality during the coding process? Well, the best way to destabilize and dominate a group of people is to make them doubtful about who they really are. By using beauty algorithms, racism is being implanted into our everyday lives. We are so confused about ourselves that now what we used to call “beautiful” is progressively becoming “ugly” to us. I remember, growing up in West Africa, plus size women were the most “beautiful” in the eyes of most people. To them, being plus size showed how well-fed and healthy people are. Yes, it was not always a good fact for skinnier people, but that is how it was. Years later, when TV started to broadcast more European movies, promoting skinny as sexy, the ideal of beauty started to change.

Men started to prefer skinnier women and the plus size beauties became “unwanted.” I also remember in my younger years, I used to hear people say “Wow! This person is so dark! She is so black, her skin is so beautiful!”As the years went on and the cosmetic industry promoted skin bleaching products, being black became a shame; it now shows that you don’t have good body hygiene. For example in the Pears’ soap advertisement based on the “washing the blackamoor white” it was said that black skin is dirty and needs to be washed off to become clean, white. From this, we can say imperialism has never really stopped, the heir to imperialism just made imperialism subtle. Like old Africans like to say, “The dog will never change the way he  sits.” The saddest part is that the younger generation are now thinking that it’s not normal to be natural. Most of them don't know about imperialism, racism, and or slavery so it make it easier for imperialismst hidding behind technologies and progress to manipulate them. I have a sad memory of a young lady in my high school that boys used to bully by calling her “midnight” just because she was very black.

The positive side
We all know that when opening up to the world, a person is opening up to diversity, and I believe diversity is the most beautiful and essential part of human history; it’s not always easy to be fair or accept everyone’s values and or ways to live, but as a globalized society we must take each other’s differences in a way to make the world a better place to live in. Beauty algorithms, filters, and cosmetic surgeries are indeed having a very negative impact on our modern society by causing self-consciousness, worry, and pessimistic views of our bodies. However, they have some agreable aspects in our everyday lives. Filters make our interactions on social media more interesting and relaxing, contributing to our well-being. In fact, filters Like Sun Baby, Shrek, Disney Pixar Face, and Moth Everywhere were first introduced to us for fun purposes and they are still being used for that purpose on platforms like Instagram,TikTok and Snapchat. These filters are so funny and entertaining that Lauren Webber, popularly known as LaurenzSide, an American online gamer, commentator, YouTuber, TikToker and social media star, decided to try them during videos for her followers.

In her video called “Trying the WEIRDEST Instagram filters ever made,” she tried some filters on herself. She was happy and relaxed during the process and honestly I was also enjoying it while watching the videos. We have too many severe topics like Coronavirus, cancer, mass shootings, climate change, and all the disasters that come with it, so we need amusing things like emojis and filters to relax us. Also, beauty algorithms and plastic surgery could be used to give back smiles to people after accidents or disasters where a person has lost one or several body parts. Many women in the world have been victims of acid attacks that completely destroyed the look of their faces and bodies. Plastic surgeries and beauty algorithms may be the only options they may  have to get a better look and make them happy again. I agree that we “are beautiful just the way we are” and “we don’t have to change a thing, the world should change its heart,” like Alesia Cara says in her song “Scars to Your Beautiful,” but if you think you need to change a thing to be happy, you should be given the chance to do so because the only real reason for living is happiness.

To conclude, it can be said that overall, technology has helped us have a better life. However, our new way to live is not always what we plan it to be. We are being dragged by “monsters” hiding behind technology to make profit from us. We should now know that everything “new is not always good” and be careful with what we believe in.

license: Creative Commons - Attribution Share-Alike - https://creativecommons.org/licenses/by-sa/4.0/


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Signetics 2650 & 2636 programming/Tutorial code - objects

Tutorial code - Objects
This is the code for the tutorial Objects

reset_vector: bcta,un	reset interrupt_vector: retc,un reset: lodi,r0 $20	;initialise program status word, just to be sure! lpsu           ;inhibit interrupts, stack pointer=0 lpsl           ;register bank 0, without carry, arithmetic compare

eorz	r0 stra,r0	effects		;initialise the 74LS378 bsta,un InitPVI		;initialise video chip

endless: bctr,un endless

InitPVI: eorz	r0		;r0 = 0 lodi,r3	$CA		;set 1F00-1FC9 to 00 (most of PVI) loop1:				;sets all colours to black, turns off sound, score 1 field at top. stra,r0	shape1,r3- brnr,r3	loop1
 * subroutine - initialise PVI
 * subroutine - initialise PVI

lodi,r0 $02 stra,r0 scoreformat lodi,r0 $aa		;blank the score digits stra,r0 score12 lodi,r0 $aa stra,r0 score34

lodi,r0 $78		;screen black stra,r0 backgnd

lodi,r0	%00000011 stra,r0 colours12	; obj 1 white, 2 red lodi,r0	%00101001 stra,r0 colours34	; obj 3 green, 4 yellow

lodi,r0	%11100100 stra,r0 objectsize

lodi,r3 $0E loopISe:			;load object descriptors loda,r0 one,r3- stra,r0 shape1,r3 loda,r0 two,r3 stra,r0 shape2,r3 loda,r0 three,r3 stra,r0 shape3,r3 loda,r0 four,r3 stra,r0 shape4,r3 brnr,r3 loopISe

retc,un one: db	$08 db	$18 db	$08 db	$08 db	$08 db	$08 db	$08 db	$08 db	$1c db	$1c db	10	;hc db	10	;hcb db	20	;vc db	20	;vcb two: db	$1c db	$3e db	$22 db	$02 db	$0e db	$18 db	$30 db	$20 db	$3e db	$3e db	40 db	35 db	60 db	10 three: db	$7c db	$7c db	$04 db	$04 db	$1c db	$1c db	$04 db	$04 db	$7c db	$7c db	60 db	120 db	90 db	250 four: db	$40 db	$40 db	$40 db	$40 db	$48 db	$7e db	$7e db	$08 db	$08 db	$08 db	100 db	110 db	0 db	255	;