Wish fulfillment is a psychological concept referring to the process of satisfying one's desires or wishes, often seen in dreams, fantasies, and some forms of art or literature. The term is commonly associated with Sigmund Freud's psychoanalytic theory, which posits that dreams can serve as a means for individuals to fulfill their unconscious desires and wishes that may not be achievable in their waking lives.
"Continuum" is a sculpture by the artist Anish Kapoor, known for his unique and often large-scale works that explore themes of space, perception, and materiality. Created in 2007, "Continuum" is characterized by its polished surfaces and intriguing interplay with light, creating a dynamic visual experience for viewers. The sculpture is typically interpreted as an exploration of infinity and the continuous nature of form, drawing attention to the relationships between the object, its environment, and the observer.
"Annales de Gergonne" is a mathematical journal that was founded in the early 19th century by the French mathematician Joseph Gergonne. The journal is notable for its focus on geometry and mathematical topics and is considered one of the earliest specialized journals in mathematics. It published original research papers, problem sets, and discussions related to various aspects of mathematics, particularly geometry.
The Canadian Mathematical Bulletin (CMB) is a scholarly journal that publishes research articles and survey papers in all areas of mathematics. It is an official publication of the Canadian Mathematical Society (CMS) and aims to promote the exchange of mathematical ideas and findings. The CMB includes both original research contributions and expository articles that provide insights into various mathematical topics. It serves a wide audience, including mathematicians, educators, and students, and has a reputation for fostering high-quality mathematical discourse.
The Glasgow Mathematical Journal is a peer-reviewed academic journal that publishes research articles in the field of mathematics. It covers a wide range of mathematical topics, including pure and applied mathematics. The journal is known for its contributions to various areas of mathematics, and it is associated with the University of Glasgow. Founded in 1959, the Glasgow Mathematical Journal has provided a platform for mathematicians to share their research findings, promote discussions, and advance the field of mathematics.
The Indiana University Mathematics Journal (IUMJ) is a peer-reviewed mathematical journal that publishes research papers in various areas of mathematics. It serves as a platform for scholars and researchers to share their findings and contribute to the mathematical community. The journal covers diverse topics, including but not limited to pure mathematics, applied mathematics, and mathematical education. The IUMJ is associated with Indiana University and typically features articles that are accessible to mathematicians at different levels of expertise.
The Journal of Hyperbolic Differential Equations (JHDE) is a specialized academic journal that focuses on the field of hyperbolic differential equations, which are a class of partial differential equations (PDEs) characterized by certain properties related to wave propagation and signal transmission. The journal publishes original research articles, reviews, and surveys that contribute to the theoretical and applied aspects of hyperbolic PDEs.
T.C. Mits refers to "Tissue Culture Mites," a term primarily used in the field of agriculture and horticulture. These are microscopic organisms that can impact plant health and are studied in relation to plant tissue cultures. In a different context, "T.C. Mits" could also refer to a specific product, brand, or concept within a certain industry. However, without additional context, it's challenging to pinpoint an exact definition or relevance.
Publications Mathématiques de l'IHÉS (Institut des Hautes Études Scientifiques) is a renowned mathematical journal that publishes research articles in various fields of mathematics. Established in 1966, it is associated with the IHÉS, which is a prestigious research institute located in Bures-sur-Yvette, France, focused on advanced research in mathematics and theoretical physics. The journal is known for its high standards of publication, featuring original research papers that often have a significant impact on the mathematical community.
Hume's Fork is a philosophical concept attributed to the Scottish philosopher David Hume, primarily found in his work "An Enquiry Concerning Human Understanding." It distinguishes between two types of knowledge: "relations of ideas" and "matters of fact." 1. **Relations of Ideas**: These are propositions that are necessarily true and can be known a priori, meaning they can be understood without relying on experience. Examples include mathematical truths and logical statements.
Section type: sh_type == SHT_RELA.
Common name: "relocation section".
.rela.text holds relocation data which says how the address should be modified when the final executable is linked. This points to bytes of the text area that must be modified when linking happens to point to the correct memory locations.
Basically, it translates the object text containing the placeholder 0x0 address:
   a:       48 be 00 00 00 00 00    movabs $0x0,%rsi
  11:       00 00 00
to the actual executable code containing the final 0x6000d8:
4000ba: 48 be d8 00 60 00 00    movabs $0x6000d8,%rsi
4000c1: 00 00 00
It was pointed to by sh_info = 6 of the .symtab section.
readelf -r hello_world.o outputs:
Relocation section '.rela.text' at offset 0x3b0 contains 1 entries:
  Offset          Info           Type           Sym. Value    Sym. Name + Addend
00000000000c  000200000001 R_X86_64_64       0000000000000000 .data + 0
The section does not exist in the executable.
The actual bytes are:
00000370  0c 00 00 00 00 00 00 00  01 00 00 00 02 00 00 00  |................|
00000380  00 00 00 00 00 00 00 00  00 00 00 00 00 00 00 00  |................|
The struct represented is:
typedef struct {
    Elf64_Addr  r_offset;
    Elf64_Xword r_info;
    Elf64_Sxword    r_addend;
} Elf64_Rela;
So:
  • 370 0: r_offset = 0xC: address into the .text whose address this relocation will modify
  • 370 8: r_info = 0x200000001. Contains 2 fields:
    • ELF64_R_TYPE = 0x1: meaning depends on the exact architecture.
    • ELF64_R_SYM = 0x2: index of the section to which the address points, so .data which is at index 2.
    The AMD64 ABI says that type 1 is called R_X86_64_64 and that it represents the operation S + A where:
    • S: the value of the symbol on the object file, here 0 because we point to the 00 00 00 00 00 00 00 00 of movabs $0x0,%rsi
    • A: the addend, present in field r_added
    This address is added to the section on which the relocation operates.
    This relocation operation acts on a total 8 bytes.
  • 380 0: r_addend = 0
So in our example we conclude that the new address will be: S + A = .data + 0, and thus the first thing in the data section.
In Gnostic tradition, the term "Ogdoad" refers to a group of eight deities or divine entities that represent a higher spiritual reality. The concept is most commonly associated with early Christian Gnosticism, particularly in certain Gnostic texts and sects. The Ogdoad is often contrasted with the material world and is considered part of a more complex cosmology where divine emanations descend from a higher god or ultimate reality.
An omega-categorical theory is a concept from model theory, a branch of mathematical logic. A first-order theory is said to be \(\omega\)-categorical if it has exactly one countable model up to isomorphism. This means that if a theory is \(\omega\)-categorical, any two countable models of this theory will be structurally the same; they can be transformed into each other via a bijective mapping that preserves the relations and functions defined by the theory.
A one-way compression function is a type of mathematical function used in cryptography that takes an input (or 'message') and produces a fixed-size output (or 'hash'). The key characteristics of a one-way compression function are: 1. **Irreversibility**: It is computationally infeasible to reverse the function. Given the output, it should be practically impossible to find the original input that produced it. This property is critical for ensuring the security of data.
Oskar Perron (1880–1970) was a German mathematician known for his contributions to the field of mathematics, particularly in the areas of set theory, topology, and the foundations of mathematics. His work included exploring topics related to ordinal numbers and the structure of axiomatic systems. Perron's research was part of the broader development of mathematical logic and set theory during the early 20th century.
P1-derived artificial chromosomes (PACs) are a type of cloning vector used in molecular biology and genetics to clone large fragments of DNA. They are derived from P1 bacteriophage, which is a type of virus that infects bacteria. PACs are designed to carry larger inserts of DNA than traditional plasmids (such as those used in bacterial artificial chromosomes, BACs).
The Palm–Khintchine theorem is a fundamental result in the field of stochastic processes, particularly in queuing theory and the study of point processes. It provides a connection between the statistical characteristics of a point process and the corresponding time intervals between events. In essence, the theorem states that for a stationary point process, the distribution of the counting process of points in a given time interval can be linked to the distribution of the inter-arrival times (the times between successive points).

Pinned article: 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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . 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.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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