Judicial interpretation refers to the process by which courts and judges interpret and apply laws, statutes, and constitutional provisions. This interpretation is crucial for understanding how laws function in practice and can influence the outcome of legal disputes. Judicial interpretation involves several key elements: 1. **Contextual Analysis**: Judges look at the language of the law, legislative intent, and the context in which the law was enacted. This can include examining the text of the law itself, its historical background, and related legislative materials.
Literary criticism is the analysis, interpretation, and evaluation of literary works. It encompasses a variety of approaches and methods used to understand texts, their meanings, and their effects on readers. Critics may examine elements such as themes, characters, style, structure, historical context, and cultural significance.
Literary theory is a field of study that seeks to understand, analyze, and interpret literature. It provides frameworks and approaches for examining texts and assists readers and critics in understanding the underlying principles and concepts that shape the creation and reception of literary works. Literary theory encompasses a wide range of methodologies and schools of thought, each with its own perspectives on the nature of literature, its functions, and its relationship to culture, society, and history.
Probability interpretations refer to the various ways in which probabilities can be understood and conceptualized. Different interpretations offer insights into what probability means and how it can be applied in different contexts. Here are some of the most common interpretations of probability: 1. **Frequentist Interpretation**: In this view, probability is understood as the long-run frequency of events occurring in repeated independent trials.
Dirk van Dalen is a prominent Dutch mathematician and computer scientist known for his work in the fields of logic, computer science, and particularly in the area of proof theory and type theory. He has made significant contributions to the development of the logical foundations of computer science, including the refinement of typed lambda calculus and contributions to the study of proof assistants and formal verification. Van Dalen is also recognized for his efforts in promoting the field of logic and mathematics through various educational initiatives and writings.
Ethical intuitionism is a philosophical position in meta-ethics which suggests that individuals have a natural ability to perceive moral truths through intuition. This view holds that moral knowledge is not derived solely from empirical evidence or rational thought, but instead comes from an innate sense of right and wrong. Key features of ethical intuitionism include: 1. **Moral Intuition**: Proponents argue that moral judgments are often immediate and intuitive rather than the result of conscious reasoning.
The term "channelome" refers to the complete set of ion channels expressed in a particular cell, tissue, or organism. Ion channels are proteins that facilitate the movement of ions across cell membranes, played crucial roles in various physiological processes, including muscle contraction, neurotransmitter release, and maintaining the resting membrane potential of cells.
GABRA4 is a gene that encodes the alpha-4 subunit of the gamma-aminobutyric acid (GABA) type A receptor. GABA receptors are major inhibitory neurotransmitter receptors in the central nervous system, playing a crucial role in modulating neuronal excitability and contributing to the regulation of various brain functions, including anxiety, mood, and muscle relaxation.
Reflexive operator algebras are a specific class of operator algebras that have certain properties related to duality and reflexivity in the context of functional analysis and operator theory. Here are some key concepts to understand reflexive operator algebras: 1. **Operator Algebras**: An operator algebra is a subalgebra of the bounded operators on a Hilbert space that is closed in the weak operator topology (WOT) or the norm topology.
Wold's decomposition, named after the Swedish mathematician Herman Wold, is a fundamental result in the field of time series analysis, particularly in the context of stationary processes. It essentially states that any stationary stochastic process can be represented as the sum of two components: a deterministic component and a stochastic component. Here's a more detailed explanation: 1. **Deterministic Component**: This part of the decomposition captures predictable patterns or trends in the data, which could include seasonal effects or long-term trends.
6-sphere coordinates are a generalization of spherical coordinates to six dimensions, commonly used in higher-dimensional mathematics, physics, and other fields. Just as in three-dimensional space where spherical coordinates describe points using a radius and angles, 6-sphere coordinates describe points in a six-dimensional sphere (or hypersphere).
"A Treatise on the Circle and the Sphere" is a mathematical work by the 19th-century mathematician Augustin-Louis Cauchy. The treatise explores various properties and theorems related to circles and spheres, contributing to the field of geometry. Cauchy's work often involved rigorous mathematical proofs and the formulation of fundamental principles, and this treatise is no exception.
The Circle of Antisimilitude is a mathematical concept related to geometry, specifically in the context of circles and their intersections. More specifically, it refers to a certain construction involving two circles and their points of intersection. Given two circles, defined by their centers and radii, the Circle of Antisimilitude is the unique circle that is orthogonal (perpendicular) to both circles at their points of intersection.
The geometry of complex numbers is a way to visually represent complex numbers using the two-dimensional Cartesian coordinate system, often referred to as the complex plane or Argand plane. In this representation, each complex number can be expressed in the form: \[ z = a + bi \] where \(a\) is the real part, \(b\) is the imaginary part, and \(i\) is the imaginary unit, defined as \(i^2 = -1\).
The term "inverse curve" can refer to different concepts depending on the context in which it is used. Here are a few possible interpretations: 1. **Mathematics/Geometry**: In mathematics, an inverse curve might refer to a curve that is generated by taking the inverse of a given function.
Acid-sensing ion channels (ASICs) are a group of ion channels that are primarily activated by acidic conditions (low pH) in the surrounding environment. They belong to the epithelial sodium channel/degenerin (ENaC/DEG) family of ion channels and play crucial roles in various physiological processes.
CHRNA10 is a gene that encodes a subunit of nicotinic acetylcholine receptors (nAChRs), which are a class of receptors that respond to the neurotransmitter acetylcholine. These receptors are involved in various neurological processes, including synaptic transmission and neuromuscular junction activity. The CHRNA10 gene is part of the larger family of nicotinic receptor genes and is known to play a role in modulating synaptic function and plasticity.
CLCN2, or Chloride Channel 2, is a gene that encodes a protein belonging to the CLC (chloride channel) family of ion channels. These proteins play crucial roles in regulating the flow of chloride ions across cellular membranes, which is important for maintaining cellular homeostasis, volume regulation, and electrical excitability in various tissues.
The Incremental Capital-Output Ratio (ICOR) is an economic measure that represents the additional amount of capital needed to produce an additional unit of output. It is a useful tool for assessing the efficiency of investment in generating economic growth within an economy.
The Information Ratio (IR) is a financial metric used to measure the performance of an investment, such as a mutual fund or a portfolio, relative to a benchmark index, while taking into account the risk taken to achieve that performance. It provides insight into how much excess return (alpha) an investment generates for each unit of risk (tracking error) relative to the benchmark.

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 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.
  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