A **parse tree**, also known as a **syntax tree** or **derivation tree**, is a tree representation that illustrates the syntactic structure of a string according to a formal grammar. It is commonly used in the fields of computer science, particularly in programming language processing, natural language processing, and compiler design. ### Key Components of a Parse Tree: 1. **Root**: The top node of the tree, representing the starting symbol of the grammar.
Tessellation is a geometric concept that refers to the covering of a plane with one or more geometric shapes, called tiles, without any overlaps or gaps. These shapes can be regular polygons, irregular shapes, or even complex figures. The key characteristics of a tessellation are that it must fill the entire surface without leaving any spaces between the tiles and the tiles may be rotated and flipped as long as they fit together seamlessly.
Syntactic categories, also known as parts of speech, refer to the classifications of words based on their functions and roles in sentences. These categories help in understanding the structure of sentences and how different words interact with one another to convey meaning. Here are some common syntactic categories: 1. **Nouns**: Words that name people, places, things, or ideas (e.g., "dog," "city," "happiness").
Isoelastic utility, also known as constant relative risk aversion (CRRA) utility, is a type of utility function used in economics to model the preferences of individuals with respect to consumption over time and uncertainty. The key characteristics of isoelastic utility are that it represents a consistent level of relative risk aversion and exhibits constant elasticity of substitution between different levels of consumption.
In grammar, an antecedent is the word, phrase, or clause that a pronoun refers to or replaces. It typically appears earlier in the sentence or in a preceding sentence. Understanding the relationship between an antecedent and its pronoun is crucial for clarity and coherence in writing. For example, in the sentence: "The dog barked loudly, and it scared the neighbors." Here, "the dog" is the antecedent of the pronoun "it.
A clitic is a linguistic unit that has characteristics of both a word and a morpheme. It is a form that cannot stand alone as a separate word and must attach to another word (usually a host) to convey meaning. Clitics often serve grammatical functions, such as indicating possession, conjunction, or tense. Clitics can be classified into two main types: 1. **Proclitic**: A clitic that attaches to the beginning of a host word.
In linguistics, a "constituent" refers to a word or a group of words that function as a single unit within a hierarchical structure of a sentence. Constituents can be phrases or even individual words that can serve as subjects, objects, or complements in a sentence. The study of constituents is fundamental in syntax, which examines how words combine to create phrases and sentences.
In linguistics, coordination refers to the grammatical and syntactic process of linking two or more elements of equal status within a sentence. These elements can include words, phrases, or clauses. Coordination is typically achieved through coordinating conjunctions (also known as coordinators), the most common of which are "and," "but," and "or.
Grammatical relation refers to the relationship between constituents within a sentence that defines their syntactic roles and functions. It encompasses how words relate to each other in terms of their grammatical roles, such as subject, object, or complement. These relationships help determine how sentences are structured and how meaning is conveyed. In linguistics, the most common grammatical relations include: 1. **Subject**: The doer of the action or the entity that is being described (e.g.
In Latin, indirect speech (also known as reported or indirect discourse) is a way of expressing what someone else has said or thought without quoting their exact words. This construction typically involves a shift in the grammatical structure and often changes the mood of the verb. **Key Features of Latin Indirect Speech:** 1. **Use of Infinitives:** In indirect speech, the verbs are commonly replaced with infinitives.
Semantic ambiguity refers to a situation in which a word, phrase, or sentence has multiple meanings or interpretations. This can arise from how language is structured or the various meanings that words can take on in different contexts. Semantic ambiguity can lead to confusion or miscommunication if the intended meaning is not clear to the listener or reader. For example, consider the sentence: "The bank can refuse to lend money.
A sentence diagram is a visual representation used to illustrate the grammatical structure of a sentence. It breaks down a sentence into its components, such as subjects, verbs, objects, modifiers, and phrases, and shows how these elements relate to one another. In a typical sentence diagram, the main parts of the sentence are represented by horizontal and vertical lines. For example, the subject typically is placed to the left of a vertical line that separates it from the predicate (the verb and its complements).
The Aṣṭādhyāyī is a foundational text of Sanskrit grammar composed by the ancient scholar Pāṇini around the 4th century BCE. The title "Aṣṭādhyāyī" translates to "eight chapters," which reflects the structure of the work. It consists of around 4,000 sutras (aphorisms or rules) that systematically describe the phonetics, morphology, and syntax of the Sanskrit language.
A verbless clause is a clause that does not contain a verb. In English, these clauses can take various forms but typically rely on the use of nouns, adjectives, and other parts of speech to convey meaning. Verbless clauses often provide additional information, describe a condition, or state an action in a more concise way. Here are a few examples of verbless clauses: 1. **Noun phrases**: "Her smile, a ray of sunshine, brightened the room.
Sloppy identity refers to a phenomenon in linguistics and philosophy of language, particularly in the context of ellipsis and identity statements. It describes scenarios where the identity condition between expressions can become "sloppy" or less strict due to the presence of ellipsis or context-specific interpretations. For example, in sentences involving ellipsis, like: - "Sam loves pizza, and so does Alex.
In linguistics, "stripping" is a type of ellipsis that involves the omission of part of a sentence, typically an auxiliary verb or a portion of a predicate, while retaining the focus on a particular constituent. Stripping often occurs in conversational contexts where the speaker emphasizes a specific part of the sentence, usually following a focus or contrastive emphasis.
Syndeton is a literary and rhetorical device that involves the inclusion of conjunctions between each item in a list or series. It often creates a rhythmic and fluid flow in writing.
Syntactic change refers to the evolution and alteration of the syntactic structures and rules of a language over time. This can involve changes in word order, the formation of phrases and clauses, the use of grammatical constructions, the introduction or loss of specific syntactic categories, and shifts in how different parts of speech interact. There are several aspects of syntactic change, including: 1. **Word Order**: Changes in the typical arrangement of subject, verb, and object (e.g.
Connect:Direct, formerly known as Sterling Connect:Direct, is a high-performance file transfer software solution designed to facilitate the secure and efficient transfer of large files across various networks. It is particularly known for its ability to handle batch file transfers in environments where reliability, security, and speed are critical. Key features of Connect:Direct include: 1. **Direct Transfers**: It enables direct point-to-point file transfers between systems without needing intermediate storage, which enhances performance and reduces the risk of data loss.
In linguistics, "zero" refers to the absence of a morpheme or element where one might typically expect to find one. This concept is often discussed in the context of grammar and syntax, particularly in relation to languages that allow for the omission of certain elements without changing the meaning of a sentence. For example, in some languages, subjects or objects can be omitted when they are understood from context.

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