CP/M, which stands for Control Program for Microcomputers, is an early operating system created by Gary Kildall in the mid-1970s. It was one of the first operating systems to offer a consistent interface across different microcomputer manufacturers, making it easier for software developers to create applications that could run on multiple systems.
CP/M (Control Program for Microcomputers) is an operating system that was widely used in the late 1970s and early 1980s for microcomputers. Developed by Gary Kildall of Digital Research, CP/M was notable for being one of the first operating systems to become widely adopted in the personal computer market before the rise of MS-DOS and later Windows. CP/M software refers to a range of applications developed to run on the CP/M operating system.
CP/M, which stands for Control Program for Microcomputers, is an operating system that was widely used in the late 1970s and early 1980s for early microcomputers. Developed by Gary Kildall of Digital Research, CP/M served as a platform that enabled the execution of software applications on microcomputers based on Intel architecture, particularly those using the 8080 and Z80 processors.
Term symbols for carbon ground state by
Ciro Santilli 37 Updated 2025-07-11 +Created 1970-01-01
Carbon has electronic structure 1s2 2s2 2p2.
For term symbols we only care about unfilled layers, because in every filled layer the total z angular momentum is 0, as one electron necessarily cancels out each other:
- magnetic quantum number varies from -l to +l, each with z angular momentum to and so each cancels the other out
- spin quantum number is either + or minus half, and so each pair of electron cancels the other out
So in this case, we only care about the 2 electrons in 2p2. Let's list out all possible ways in which the 2p2 electrons can be.
There are 3 p orbitals, with three different magnetic quantum numbers, each representing a different possible z quantum angular momentum.
We are going to distribute 2 electrons with 2 different spins across them. All the possible distributions that don't violate the Pauli exclusion principle are:
m_l +1 0 -1 m_L m_S
u_ u_ __ 1 1
u_ __ u_ 0 1
__ u_ u_ -1 1
d_ d_ __ 1 -1
d_ __ d_ 0 -1
__ d_ d_ -1 -1
u_ d_ __ 1 0
d_ u_ __ 1 0
u_ __ d_ 0 0
d_ __ u_ 0 0
__ u_ d_ -1 0
__ d_ u_ -1 0
ud __ __ 2 0
__ ud __ 0 0
__ __ ud -2 0
where:
m_l
is , the magnetic quantum number of each electron. Remember that this gives a orbital (non-spin) quantum angular momentum of to each such electronm_L
with a capital L is the sum of the of each electronm_S
with a capital S is the sum of the spin angular momentum of each electron
For example, on the first line:we have:and so the sum of them has angular momentum . So the value of is 1, we just omit the .
m_l +1 0 -1 m_L m_S
u_ u_ __ 1 1
- one electron with , and so angular momentum
- one electron with , and so angular momentum 0
TODO now I don't understand the logic behind the next steps... I understand how to mechanically do them, but what do they mean? Can you determine the term symbol for individual microstates at all? Or do you have to group them to get the answer? Since there are multiple choices in some steps, it appears that you can't assign a specific term symbol to an individual microstate. And it has something to do with the Slater determinant. The previous lecture mentions it: www.youtube.com/watch?v=7_8n1TS-8Y0 more precisely youtu.be/7_8n1TS-8Y0?t=2268 about carbon.
youtu.be/DAgEmLWpYjs?t=2675 mentions that is not allowed because it would imply , which would be a state
uu __ __
which violates the Pauli exclusion principle, and so was not listed on our list of 15 states.He then goes for and mentions:and so that corresponds to states on our list:Note that for some we had a two choices, so we just pick any one of them and tick them off off from the table, which now looks like:
ud __ __ 2 0
u_ d_ __ 1 0
u_ __ d_ 0 0
__ u_ d_ -1 0
__ __ ud -2 0
+1 0 -1 m_L m_S
u_ u_ __ 1 1
u_ __ u_ 0 1
__ u_ u_ -1 1
d_ d_ __ 1 -1
d_ __ d_ 0 -1
__ d_ d_ -1 -1
d_ u_ __ 1 0
d_ __ u_ 0 0
__ d_ u_ -1 0
__ ud __ 0 0
Then for the choices are:so we have 9 possibilities for both together. We again verify that 9 such states are left matching those criteria, and tick them off, and so on.
The Bondwell-2 is an early portable computer that was introduced in the early 1980s. It was known for its relatively compact design compared to other computers of its time, featuring a built-in CRT display and a keyboard. The Bondwell-2 typically ran on the CP/M operating system and was equipped with an Intel 8085 or similar processor.
The Intertec Superbrain is an early personal computer that was developed in the early 1980s. It is notable for its unique design, which included a built-in monitor and a modular architecture that allowed users to expand the system's capabilities. The Superbrain was based on the Zilog Z80 microprocessor and was compatible with CP/M, an operating system widely used during that era for personal computers.
MSX-DOS is an operating system designed for the MSX standard, which was a standardized home computer architecture developed in the early 1980s. Specifically, MSX-DOS is a disk-based operating system that was created to work with MSX computers equipped with disk drives. It was inspired by MS-DOS, the popular operating system for PCs at the time, but it was specifically tailored for the MSX hardware.
Neil Gershenfeld is an American physicist, computer scientist, and educator known for his work in the field of digital fabrication and the development of the Fab Lab concept. He is a professor at the Massachusetts Institute of Technology (MIT) and the director of the Center for Bits and Atoms, where he focuses on the intersection of physical and digital technology.
Tatung Einstein is a brand of smart home appliances and internet of things (IoT) devices that are designed to integrate advanced technology with everyday household items. The products under the Tatung Einstein brand often include items like smart rice cookers, multi-function cooking devices, and other kitchen gadgets that allow for remote monitoring and control via smartphone applications or cloud services. The focus of Tatung Einstein typically involves combining traditional cooking methods with modern technology, enhancing convenience, efficiency, and connectivity for users.
Chaffing and winnowing is an ancient agricultural process used to separate the edible grain from the inedible chaff that surrounds it. Here's a brief overview of each step: 1. **Chaffing**: This step involves the physical process of removing the grain from its protective husk or chaff. This is typically done by threshing, which can be accomplished through various methods, such as using a threshing floor where the grain is beaten or by using a threshing machine.
Cryptography is a crucial technology that provides security for data and communications, enabling various applications across multiple fields. Here are some key applications of cryptography: 1. **Secure Communications**: - **Email Encryption**: Tools like PGP (Pretty Good Privacy) and S/MIME are used to secure email content against unauthorized access. - **Messaging Apps**: Applications like Signal and WhatsApp use end-to-end encryption to protect user conversations.
Classical cryptography refers to traditional methods of encrypting and securing information before the development of modern cryptographic techniques using computers. These classical methods primarily emerged before the 20th century and often involve manual techniques for encoding messages. Here are some of the key features and common techniques associated with classical cryptography: ### Key Features: 1. **Symmetric Key Cryptography**: Most classical cryptographic methods use the same key for both encryption and decryption.
Once upon a time in the 2010's, Ciro Santilli went to an artsy theatre venue in the suburbia of Paris, dragged by his wife then girlfriend of course.
In the venue, there was a politician, who was doing his best to show how much they supported the arts, and there were of course the artists, involved in the play.
The politician would see a political power score on top of every person's head, and would spend an amount of time talking to each person exactly proportional to that score. This meant basically one sentence to us. The words themselves didn't really matter of course, only the time spent, they just have to produce nice sounds.
Cryptographers are individuals who specialize in the study and practice of cryptography, which is the science of securing communication and information by transforming it into a format that cannot be easily understood by unauthorized individuals. Cryptography involves various techniques, including algorithms, protocols, and encryption methods, to ensure data confidentiality, integrity, authentication, and non-repudiation. Cryptographers work on designing and analyzing these algorithms and protocols to ensure they are robust against attacks.
Ciro Santilli intends to move his beauty list here little by little: github.com/cirosantilli/mathematics/blob/master/beauty.md
The most beautiful things in mathematics are results that are:
- simple to state but hard to prove:
- Fermat's Last Theorem
- number of unknown rationality, e.g. is rational?
- transcendental number conjectures, e.g. is transcendental?
- basically any conjecture involving prime numbers:
- many combinatorial game questions, e.g.:
- surprising results: we had intuitive reasons to believe something as possible or not, but a theorem shatters that conviction and brings us on our knees, sometimes via pathological counter-examples. General surprise themes include:Lists:
- classification of potentially infinite sets like: compact manifolds, etc.
- problems that are more complicated in low dimensions than high like:
- generalized Poincaré conjectures. It is also fun to see how in many cases complexity peaks out at 4 dimensions.
- classification of regular polytopes
- unpredictable magic constants:
- why is the lowest dimension for an exotic sphere 7?
- why is 4 the largest degree of an equation with explicit solution? Abel-Ruffini theorem
- undecidable problems, especially simple to state ones:
- mortal matrix problem
- sharp frontiers between solvable and unsolvable are also cool:
- attempts at determining specific values of the Busy beaver function for Turing machines with a given number of states and symbols
- related to Diophantine equations:
- applications: make life easier and/or modeling some phenomena well, e.g. in physics. See also: explain how to make money with the lesson
Good lists of such problems Lists of mathematical problems.
Whenever Ciro Santilli learns a bit of mathematics, he always wonders to himself:Unfortunately, due to how man books are written, it is not really possible to reach insight without first doing a bit of memorization. The better the book, the more insight is spread out, and less you have to learn before reaching each insight.
Am I achieving insight, or am I just memorizing definitions?
Video 1. Alegria, Alegria by Caetano Veloso (1968)Source. Critique of Military dictatorship in Brazil.
- 1972
- Transa (1972) album. Literally: "The Fuck", good old seventies. Caetano himself later mentions that this is one of his own favorite albums.[ref] The album was composed when he was living in London.
Video 2. Triste Bahia by Caetano Veloso (1972)Source. Inspired by (or more likely: actually is) capoeira music.
Video 4. Você Não Entende Nada by Caetano Veloso (1970)Source.Amazing performance at Coliseu dos Recreios, Lisbon. 1981. Discogs says original album is Legal (1970), but wiki page and photos of back disagree...This song talks about a man's mixed desires to remain with his partner and also escape to adventure. It contains one of the most amazing sexual innuendo ever recorded: the man describes foods that his partner will serve him, and the he endlessly eats and eats and eats:translation:eu como, eu como, eu como, você [... huge intentional pause ...] não está entendendo quase nada do que eu digo.
which makes it unclear "you" is part of "I eat you" (to eat (comer) is a slang for fucking), or if "you" is part of the next sentence.I eat, I eat, I eat, you [... huge intentional pause ...] don't understand anything that I'm saying.
Video 5. Partido Alto by Caetano Veloso (1972)Source. Atheism song (theodicy)! Lyrics by Chico Buarque, but Ciro Santilli prefers this interpretation. From the 1972 "Caetano E Chico Juntos E Ao Vivo" joint album with Chico Buarque.
- 1975 Qualquer coisa album
Video 7. Samba e Amor by Caetano Veloso (1975)Source. Cover from original song by Chico Buarque, original album Chico Buarque de Hollanda - Nº4. Desperately reminds Ciro of his University day weekend nights. Except that there was no Samba. And little Amor. Mostly a silent and wholesome loneliness and emulation.Video 8. Georde de Capadócia by Caetano Veloso (1975)Source.Composed by Jorge Ben, but this interpretation is remarkable. corpo fechado (closed body) style song. This idea is much linked to Capoeira/African religion idea. E.g. a more traditional capoeira corpo fechado song: www.youtube.com/watch?v=tfd9j6XFmSg
- 1976 Doces Bárbaros (1976) album
Video 10. Um Índio by Caetano Veloso (1976)Source. Recording from 1992. Also appeared in the Bicho (1977) album. - 1977 Bicho (1977)
- 1978 album Muito (Dentro da Estrela Azulada)
Video 12. Sampa by Caetano Veloso (1978)Source."Sampa" is an affectionate slang for São Paulo City. The song perfectly captures the city, and reminds Ciro so badly of his University days there.Video 13. Terra by Caetano Veloso (1978)Source.Ciro used to watch a television nature show called "Planeta Terra" in the legendary TV Cultura with his parents in the couch when he was young, and under a duvet when it was a bit cold. Those days were the best. The narrator's lady voice was particularly soothing, and would easily put you in a kind of sleepy trance, her name is Valéria GrilloTODO what was the original show exactly? Here is a sample: www.youtube.com/watch?v=vNwfYEMdrRU Very likely just a translation of some British nature show with a custom Brazilian intro and presenter. Credits at end mention English narrator: "Eugene Fraser", and "Thirteen WNET Nature" production, which produced Nature (1982) that ran since 1982, making that a likely candidate. - 1980
- 1984 Velô (1984)
The concepts of the beginning and end of the universe are central questions in cosmology and have intrigued scientists, philosophers, and theologians for centuries. ### The Beginning of the Universe The prevailing scientific explanation for the beginning of the universe is the **Big Bang Theory**. According to this model: - **Singularity**: The universe began about 13.8 billion years ago from an extremely hot, dense point known as a singularity.
Acoustic cleaning is a technology that uses sound waves, typically in the ultrasonic frequency range, to clean surfaces and remove contaminants. This method can effectively reach difficult-to-access areas and is often used in industrial settings for cleaning machinery, components, and systems. Here's how it works: ### Principles of Acoustic Cleaning: 1. **Ultrasonic Waves**: High-frequency sound waves are generated by transducers and transmitted through a cleaning medium (usually a liquid).
Cryptographic attacks refer to various methods employed to compromise cryptographic algorithms and protocols, often with the aim of gaining unauthorized access to encrypted information, manipulating data, or undermining the integrity of cryptographic systems. These attacks exploit vulnerabilities in the cryptographic algorithms, implementation flaws, or protocol weaknesses.
Pinned article: ourbigbook/introduction-to-the-ourbigbook-project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact