Outrageously Funny Word Dictionary :: Canonical

👉 The term "canonical" is often used in mathematics to refer to a set or object that is considered to be the most natural or simplest way of expressing, representing, or using mathematical objects. It can also mean that an object has been chosen as the standard representation or basis for a particular system or theory. For example, in computer science, "canonical" refers to a specific implementation or algorithm used by a program to represent complex data structures and algorithms.

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👉 Canonicalization is a concept in the field of mathematics, specifically in algebraic geometry. It refers to the process of converting an algebraic variety into its projective model, which can then be used to study and understand the geometric properties of the original variety. In other words, it involves transforming a variety into a simpler form that can be studied more easily by studying its geometric structure. This is done in order to gain insights into the underlying geometry of the original variety, such as its birational equivalence

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👉 "Canonicalize" is a concept in computer science, specifically related to data structures and algorithms. It refers to the process of converting or organizing data into a form that can be easily manipulated and analyzed by machines. In programming languages like Python, "canonicalize" is typically achieved through the use of classes and functions that perform operations on data structures such as lists, sets, dictionaries, etc., in a way that makes it easier for other programs to manipulate and access these types of objects. This process

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👉 The process of converting a set of data into a form that can be easily manipulated or shared among different systems, without losing any information. This can be useful in situations where it is essential to preserve the original format but also allow for easy modification and sharing. For example, when working with large datasets, converting them into canonicalized formats (such as CSV or JSON) can make it easier to share data across different systems while preserving its structure and integrity.

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👉 In computer science, a canonicalization is an operation that normalizes or converts a set of elements into a new form so that they can be easily compared and manipulated. This process is often used in data compression algorithms to reduce the size of the input data. For example, consider two sets of data: A = {1, 2, 3} and B = {4, 5}. In this case, we might want to normalize both sets into a new set C that contains only

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👉 In mathematics, "canonicalizing" refers to a process of defining or reformulating a mathematical concept so that it is consistent with existing definitions. This can be done by replacing or modifying certain aspects of an existing definition where possible while preserving its essential meaning and properties. For example, if we have a set $X$ and we want to define the operation $\cdot: X \times X \to X$, we might define $\cdot$ as follows: $$\cdot(x, y) = x

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👉 A canonically defined term is a term that has been used and agreed upon by all parties involved in a given context. It is usually defined by a single, universally accepted definition or principle, which is commonly referred to as "canonical." In other words, a canonically defined term is one that is recognized and respected by all parties involved in a particular situation or discussion.

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👉 In computer science, a canonical definition is a definition that can be interpreted in any context. It must not depend on specific values or parameters and should have no ambiguity. Examples of canonical definitions include:
The length of an integer (e.g., 42) is equal to the length of its representation as a string (e.g., "42").
A function that returns a list of numbers is called a canonical definition if it can be interpreted in any context. A common

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👉 A canonical is a type of representation in computer science. In this context, a canonical is a data structure that can be used to represent a given set of elements without loss of information and without ambiguity. It allows for efficient storage and retrieval of data from the set, making it suitable for applications such as databases or file systems where multiple entries are required but need not necessarily have identical values. In computer science, the term "canonical" is often used in the context of data structures to refer to a

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