The averaging argument is a mathematical technique often used in various fields, including analysis, probability, and combinatorics, to show that under certain conditions, a particular property or behavior holds for most elements of a set, given that it holds for some average or typical element.
Causalism is a philosophical doctrine that emphasizes the importance of causation in understanding the nature of reality and knowledge. It posits that events and phenomena can be understood primarily in terms of their causes and effects. In this view, causal relationships are fundamental to explaining why things happen, and understanding these relationships is crucial for gaining knowledge about the world.
The entropy of vaporization, often denoted as \( \Delta S_{vap} \), is a thermodynamic quantity that describes the change in entropy when one mole of a substance transitions from the liquid phase to the vapor phase at a given temperature and pressure. It reflects the degree of disorder or randomness in the system. When a liquid evaporates, its molecules gain sufficient energy to overcome intermolecular forces and enter the gas phase, which is characterized by greater molecular movement and spacing.
Methodological solipsism is a philosophical approach or stance that pertains to the nature of knowledge and belief, particularly in the fields of epistemology and philosophy of mind. It emphasizes the idea that one can only be certain of their own thoughts and experiences. This approach is used as a methodological tool, often in discussions about knowledge, consciousness, and subjective experience.
Purposive behaviorism is a psychological theory that integrates elements of behaviorism and purposeful (or intentional) behavior. Developed primarily by psychologist Edward C. Tolman in the early to mid-20th century, purposive behaviorism emphasizes the notion that behavior is not just a series of stimuli and responses, but also involves cognitive processes and purpose.
Semantic externalism is a philosophical position regarding the nature of meaning and reference, particularly in the context of language and thought. It posits that the meanings of words and the contents of thoughts are not solely determined by internal states, mental representations, or individual cognitive contexts, but are also significantly influenced by external factors in the world, including social and environmental contexts.
Mayer's relation is a thermodynamic relationship that connects specific heats of a substance. It is particularly relevant in the study of ideal gases.
The Pitzer equations, developed by K. S. Pitzer in the 1970s, are used to describe the thermodynamic properties of electrolyte solutions. They provide a way to calculate activity coefficients of ions in solution, which are essential for understanding how ions behave in various concentrations, particularly in solutions with high ionic strength. The Pitzer equations account for interactions between different ions and the resulting deviations from ideal behavior in the solutions.
VTPR can refer to different concepts depending on the context. One prominent meaning is "VTPR" in the context of Wi-Fi technology, standing for "Virtual Transport Protocol Repeater," which is used in some networking setups to improve the efficiency of data transmission. Additionally, "VTPR" could signify specific terms in various industries or fields, such as finance or healthcare.
Nuclear fusion is a process in which two light atomic nuclei combine to form a heavier nucleus, releasing a significant amount of energy in the process. This is the same reaction that powers the sun and other stars. In fusion, the strong nuclear force overcomes the electrostatic repulsion between the positively charged protons when the nuclei are brought close enough together, allowing them to merge.
A table of thermodynamic equations provides a collection of key equations and relationships used in thermodynamics, which is the study of the relationships between heat, work, temperature, and energy. These equations are fundamental for understanding various thermodynamic processes and systems. Below is a summary of some important thermodynamic equations organized by categories: ### 1.
The Van Laar equation is a mathematical expression used in chemical engineering and thermodynamics to describe the activity coefficients of components in a binary mixture. It is particularly useful for assessing the non-ideal behavior of liquid mixtures and is often applied to solutions where the interactions between different types of molecules significantly impact the system's thermodynamic properties.
The Klincewicz method refers to a specific approach for solving optimization problems, particularly in the context of linear programming or related fields. While detailed literature on the Klincewicz method may not be widely available, it often emphasizes techniques for either finding solutions or approximating solutions efficiently.
Endogenous retroviruses (ERVs) are sequences of viral DNA that have integrated into the genomes of a host organism, typically a vertebrate, and have been passed down through generations. They are remnants of ancient viral infections where a retrovirus successfully invaded the germline cells (the reproductive cells) of a host, allowing the viral genetic material to be incorporated into the host's DNA.
Epitranscriptomic sequencing refers to the study of chemical modifications of RNA molecules that go beyond the basic sequence of nucleotides. The term "epitranscriptomics" is derived from "epi," meaning "above" or "on top of," and "transcriptomics," which is the study of RNA transcripts produced by the genome. In addition to the primary genetic information encoded in RNA, various chemical modifications can occur on RNA molecules, such as methylation (e.g.
Eukaryotic initiation factor 3 (eIF3) is a multi-subunit protein complex that plays a crucial role in the initiation of protein synthesis in eukaryotic cells. It is one of the key factors involved in the assembly of the ribosome and the loading of the initiator tRNA onto the ribosome.
The eyespot apparatus, also known as an eyespot or ocular device, is a specialized structure found in certain unicellular organisms, particularly in some protozoans and algae. Its primary function is to detect light, helping the organism navigate towards or away from light sources, a behavior known as phototaxis. In terms of structure, an eyespot apparatus typically consists of a combination of pigment granules and photoreceptive cells.
Fibrillarin is a protein that plays a crucial role in the biogenesis of ribosomes, which are essential cellular structures responsible for protein synthesis. It is primarily located in the nucleolus, a subnuclear structure where ribosomal RNA (rRNA) is synthesized and processed, and where ribosome assembly occurs.
Functional genomics is a branch of molecular biology that focuses on understanding the relationship between an organism's genome (the complete set of its genetic material) and its biological function. This field aims to elucidate how genes and their products (such as proteins) interact and contribute to cellular processes, organism development, and overall organismal phenotype.
GLAD-PCR (Glycolysis-Specific Lateral Amplification Dual-PCR) is a molecular biology technique designed for the specific amplification and detection of nucleic acids, particularly in the context of certain types of diagnostics, such as those relating to infectious diseases or genetic disorders.

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