Biconditional elimination, often represented in formal logic as a rule of inference, involves working with a biconditional statement, which is a logical statement that expresses that two propositions are equivalent. A biconditional statement is typically denoted as \( P \iff Q \), meaning "P if and only if Q.
Conjunction elimination is a rule of inference in propositional logic that allows one to derive a single component of a conjunction from the conjunction itself. The rule can be formally stated as follows: If you have a conjunction \( P \land Q \) (where \( P \) and \( Q \) are any propositions), you can infer each of its components separately: 1. From \( P \land Q \), infer \( P \).
Disjunctive syllogism is a valid argument form in propositional logic. It is used when you have a disjunction (an "or" statement) and a negation of one of the disjuncts (the parts of the disjunction). The structure of a disjunctive syllogism can be summarized as follows: 1. \( P \lor Q \) (either P or Q is true) — this is the disjunction.
The "Rule of Replacement" is a concept used in logic, particularly in propositional logic and formal proofs. It refers to the principle that certain logical expressions or statements can be replaced with others that are logically equivalent without changing the truth value of the overall expression. Essentially, if two statements are equivalent, one can replace the other in any logical argument or proof without affecting the validity of the conclusion.
Material implication is a fundamental concept in propositional logic and is often represented by the logical connective "→" (if... then...). In essence, material implication expresses a relationship between two propositions, such that the implication \( P \rightarrow Q \) (read as "if P then Q") is true except in one specific scenario: when \( P \) is true and \( Q \) is false.
Diminution, in the context of satire, refers to a technique where the importance or seriousness of a subject is deliberately downplayed to highlight its absurdity or flaws. This often involves portraying a significant issue or a person in a trivial manner, thereby exposing its ridiculousness. By minimizing the subject, the satirist can effectively criticize or make a commentary on it, inviting the audience to reconsider its true value or impact.
News satire is a genre of comedy that uses humor to comment on current events, political issues, and societal norms. It often involves exaggeration, irony, and parody to critique or make fun of real news stories, public figures, or institutions. By blending factual elements with fictional or absurd twists, news satire aims to engage audiences while also provoking thought about serious topics.
Frequency Selective Surfaces (FSS) are structures designed to selectively reflect, transmit, or absorb electromagnetic waves at specific frequencies while allowing other frequencies to pass through. They are often composed of periodic arrays of conductive elements, such as patches or slots, arranged on a dielectric substrate. FSS is commonly used in various applications, including: 1. **Radar Systems**: To control electromagnetic wave propagation and enhance signal quality.
A pun is a form of word play that exploits multiple meanings of a term or similar-sounding words for humorous or rhetorical effect. Puns often rely on a clever or unexpected twist in language, often creating a playful or comedic effect. They can take various forms, such as homophonic puns (which play on words that sound alike) and homographic puns (which rely on words that are spelled the same but have different meanings).
Satirical ostraca are pieces of pottery or stone that were inscribed with satirical or humorous messages, often in the form of political commentary, social criticism, or personal insults. The term "ostraca" refers to the fragments of pottery that were used in ancient times, particularly in ancient Greece and Egypt, for various purposes, including writing.
Kubelka–Munk theory is a mathematical model used to describe the light scattering and absorption properties of diffuse systems, particularly in relation to paints, pigments, and other similar materials. The theory, formulated by Paul Kubelka and Franz Munk in the 1930s, provides a way to understand how light interacts with multi-layered and heterogeneous materials.
In computational complexity theory, PP stands for "Probabilistic Polynomial time." It is a complexity class that consists of decision problems for which there is a probabilistic Turing machine that can decide the problem with a certain level of accuracy.
Analytical light scattering is a technique used to study the size, shape, and distribution of particles, macromolecules, or colloids in a solution by measuring the scattering of light as it interacts with these particles. This method is based on the principle that when a beam of monochromatic light (usually from a laser) passes through a sample, the light is scattered in different directions by the particles present in the solution.
Anomalous diffraction theory is a concept in the field of wave optics and scattering theory, primarily applicable to the interaction of electromagnetic waves, such as light, with small particles. The term "anomalous" refers to the deviations from the standard diffraction patterns predicted by classical diffraction theory (e.g., Rayleigh diffraction) when the size of the scattering objects is comparable to the wavelength of the incident light.
The Gaunt factor is a dimensionless quantity that arises in the field of astrophysics and plasma physics, particularly in the context of radiative transfer and the calculation of opacity in stellar atmospheres and hot plasmas. It quantifies the effect of electron scattering on the intensity of radiation in a medium.
The Critical Path Method (CPM) is a project management technique used to determine the longest sequence of dependent tasks or activities that must be completed on time for a project to finish by its due date. The critical path identifies which tasks are critical, meaning that any delay in these tasks will directly impact the overall project completion time. Key aspects of the Critical Path Method include: 1. **Activities and Dependencies**: Each task in a project is identified along with its duration and dependencies on prior tasks.
Near field and far field are terms commonly used in various fields, including physics, engineering, and telecommunications, to describe regions in relation to a source of waves, such as electromagnetic waves, sound waves, or other types of waves. ### Near Field The near field refers to the region close to the source of the wave where the behavior of the field is not specified by simple wave equations. In this zone, the wave typically does not propagate in the same way as it does in the far field.
Completely Fair Queuing (CFQ) is a disk scheduling algorithm designed to provide fair access to disk resources for multiple processes or threads while optimizing performance. It is particularly important in operating systems where multiple applications may be competing for disk I/O operations. ### Key Features of CFQ: 1. **Fairness**: CFQ aims to ensure that all requests receive a fair share of disk bandwidth.
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!
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 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. - 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





