2021년 2월 17일 (수) 08:08에 Pythagoras0님의 편집

2021-02-17T08:08:54Z

Pythagoras0: /* 메타데이터 */ 새 문단

2020-12-26T12:17:51Z

메타데이터: 새 문단

Pythagoras0: /* 노트 */ 새 문단

2020-12-21T10:48:34Z

노트: 새 문단

새 문서

== 노트 ==

===위키데이터===
* ID : [https://www.wikidata.org/wiki/Q6498784 Q6498784]
===말뭉치===
# In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.<ref name="ref_6d0b22ee">[https://en.wikipedia.org/wiki/Expression_(mathematics) Expression (mathematics)]</ref>
# In algebra, an expression may be used to designate a value, which might depend on values assigned to variables occurring in the expression.<ref name="ref_6d0b22ee" />
# The determination of this value depends on the semantics attached to the symbols of the expression.<ref name="ref_6d0b22ee" />
# The choice of semantics depends on the context of the expression.<ref name="ref_6d0b22ee" />
# In this section we turn our attention to translating word phrases into mathematical expressions.<ref name="ref_43c8a74b">[https://math.libretexts.org/Bookshelves/PreAlgebra/Book%3A_Prealgebra_(Arnold)/03%3A_The_Fundamentals_of_Algebra/3.01%3A_Mathematical_Expressions 3.1: Mathematical Expressions]</ref>
# Example 1 Translate the following phrases into mathematical expressions: "12 larger than x," "11 less than y," and "r decreased by 9.<ref name="ref_43c8a74b" />
# Exercise Translate the following phrases into mathematical expressions: "13 more than x" and "12 fewer than y".<ref name="ref_43c8a74b" />
# The feature that makes LaTeX the right editing tool for scientific documents is the ability to render complex mathematical expressions.<ref name="ref_dc1e69b9">[https://www.overleaf.com/learn/latex/mathematical_expressions Mathematical expressions]</ref>
# The structure of defining math expression advances in different grades.<ref name="ref_b064279b">[https://www.splashlearn.com/math-vocabulary/number-sense/expression What is an Expression? [Definition, Facts & Example]]</ref>
# In early grades, children are expected to write math expressions using numbers and operators.<ref name="ref_b064279b" />
# Formulation of math expressions using the respective skill lays a strong foundation to learn algebra and translate real-life problems in suitable mathematical models.<ref name="ref_b064279b" />
# Another kind of expression commonly found in mathematics is a summation.<ref name="ref_15d402c5">[https://sciencing.com/mathematical-expression-8698419.html What Is a Mathematical Expression?]</ref>
# We could change the (+) to make different mathematical expressions: 12 - 2, 12 * 2, or 12 / 2.<ref name="ref_8f6ec951">[https://study.com/academy/lesson/what-is-a-mathematical-expression-definition-examples-quiz.html What is a Mathematical Expression? - Definition & Examples - Video & Lesson Transcript]</ref>
# Sometimes, operations are applied directly to a variable in mathematical expressions.<ref name="ref_8f6ec951" />
# Mathematical expressions may be multivariate, which means they have more than one variable.<ref name="ref_8f6ec951" />
# All mathematical expressions contain parts called terms.<ref name="ref_8f6ec951" />
# These parts are marked by picking a sample of random values for the free variables in the expression, and evaluating both the student’s answer and the correct answer on those values.<ref name="ref_aeeb1822">[https://numbas-editor.readthedocs.io/en/latest/question/parts/mathematical-expression.html Mathematical expression — Numbas 5.0 documentation]</ref>
# Question variables (or, more broadly, JME expressions which should be evaluated to a single value when the question is generated), can be included by enclosing them in curly braces.<ref name="ref_aeeb1822" />
# See Pattern-matching examples for examples of patterns which ensure the expression is in particular forms.<ref name="ref_aeeb1822" />
# Part of expression to mark If Whole expression is selected, then the student’s entire expression is compared against the correct answer.<ref name="ref_aeeb1822" />
# When mathematical expressions are created, they can be solved using one of the many mathematical solvers that exist in the market.<ref name="ref_8ec97d9f">[https://www.sciencedirect.com/topics/engineering/mathematical-expression Mathematical Expression - an overview]</ref>
# Most of these programs allow the user to solve the numerical values of mathematical expressions, and to program the user's own programs inside the envelope of these codes.<ref name="ref_8ec97d9f" />
# There are a lot of additional toolkits (i.e., symbolic mathematics), which make it possible to evaluate analytically very complex mathematical expressions.<ref name="ref_8ec97d9f" />
# An equation is two expressions linked with an equal sign.<ref name="ref_78ed0819">[https://courses.lumenlearning.com/prealgebra/chapter/identifying-expressions-and-equations/ Identifying Expressions and Equations]</ref>
# This is an equation—two expressions are connected with an equal sign.<ref name="ref_78ed0819" />
# The teacher explained to Barbara that she has to place the available symbols between the numbers in a way that would make the resulting expression's value as large as possible.<ref name="ref_4f840261">[https://codeforces.com/problemset/problem/1461/F Codeforces]</ref>
# Help Barbara and create the required expression!<ref name="ref_4f840261" />
# The first step to any word problem is to translate the problem into an algebraic expression or equation.<ref name="ref_571536c9">[https://www.expii.com/t/writing-algebraic-expressions-examples-practice-9151 Writing Algebraic Expressions — Examples & Practice - Expii]</ref>
# There is no assignment to a variable in this case; you just need to enter the mathematical expression.<ref name="ref_59509be6">[http://web.engr.oregonstate.edu/~rookert/cs162/ecampus-video/CS161/template/chapter_3/mathexp.html Chapter 3: Mathematical Expressions]</ref>
# An expression is programming statement that has a value.<ref name="ref_59509be6" />
# Rule 1 char, short, and unsigned short values are automatically converted to int values in any mathematical expression.<ref name="ref_59509be6" />
# The type cast expression is defined as: The Data Type defines the type that you want after the conversion.<ref name="ref_59509be6" />
# In MathEdit touch version, we design a virtual mathematical keyboard for users to enter mathematical symbols and expression templates conveniently.<ref name="ref_52de3679">[https://link.springer.com/chapter/10.1007/978-3-662-44199-2_95 A Touch-Based Mathematical Expression Editor]</ref>
# Users can select a sub-expression via a virtual key or touch move operation.<ref name="ref_52de3679" />
# This involves tracking the behavior of mathematical expressions called differential equations, which describe the way mathematically characterized systems change over time.<ref name="ref_6bc31f20">[https://encyclopedia2.thefreedictionary.com/mathematical+expression mathematical expression]</ref>
# Note that you do not need to have TeX installed, since Matplotlib ships its own TeX expression parser, layout engine, and fonts.<ref name="ref_50c4c44e">[https://matplotlib.org/3.3.3/tutorials/text/mathtext.html Writing mathematical expressions — Matplotlib 3.3.3 documentation]</ref>
# There are a number of limitations to this approach, most notably that far fewer symbols will be available, but it can be useful to make math expressions blend well with other text in the plot.<ref name="ref_50c4c44e" />
# Mathematical expressions need to be written for several reasons, such as practicing for school exams and function optimization algorithms.<ref name="ref_09fcf2e0">[https://www.mdpi.com/2227-7390/6/11/254/htm Rule-Based Production of Mathematical Expressions]</ref>
# Some systems may use a database of mathematical equations where all expressions are written once and then used many times.<ref name="ref_09fcf2e0" />
# This paper addresses a grammar-directed approach to automatically generate mathematical expressions.<ref name="ref_09fcf2e0" />
# Synthesis, as opposed to analysis, takes the terms of which an expression is composed, and combines them together, so as to produce that expression.<ref name="ref_09fcf2e0" />
# Although mathematical expressions (MEs) recognition have achieved great progress, the development of MEs recognition in real scenes is still unsatisfactory.<ref name="ref_56af7114">[https://openreview.net/forum?id=rkl_Ch4YwS A TWO-STAGE FRAMEWORK FOR MATHEMATICAL EXPRESSION RECOGNITION]</ref>
# Inspired by the recent work of neutral network, this paper proposes a novel two-stage approach which takes a printed mathematical expression image as input and generates LaTeX sequence as output.<ref name="ref_56af7114" />
# How to simplify a math expression?<ref name="ref_96966125">[https://www.dcode.fr/math-simplification Mathematical Expression Formula Simplifier]</ref>
# To simplify an equation, or an algaebrical calculation, dCode simplifier expands or factorize items in the expressions in order to reduce the mathematical expression into a simpler form.<ref name="ref_96966125" />
# To simplify an equation or simplify an expression, it is necessary to work on each side of the equals sign.<ref name="ref_96966125" />
# The remarkable identities allow a factorization of the mathematical expression and thus a simplification of its writing.<ref name="ref_96966125" />
# I have to run above expression using vim -s scriptfile through many files.<ref name="ref_5e3c6d3e">[https://stackoverflow.com/questions/37805433/vim-substitution-with-mathematical-expression vim substitution with mathematical expression]</ref>
# It is expected to increase the number of symbols and accepted expressions in the short-term, as well as improving the recognition system and the expression accepted.<ref name="ref_f9b22739">[https://cat.prhlt.upv.es/mer/ Mathematical Expression Recognition]</ref>
# This features contributes the "Math Expression" node for evaluating free form mathematical expression.<ref name="ref_f636a9fe">[https://hub.knime.com/knime/extensions/org.knime.features.ext.jep/latest KNIME Math Expression (JEP)]</ref>
# The associated plugin uses source code of JEP 2.4.1, an open-source Java library for parsing and evaluating mathematical expressions, which is under the copyright of its respective authors.<ref name="ref_f636a9fe" />
# Then an exprtk::expression is instantiated and the symbol table is registered with the expression instance.<ref name="ref_77a2cdc5">[http://www.partow.net/programming/exprtk/ .:: C++ Mathematical Expression Library (ExprTk)]</ref>
# If the compilation process is successful the expression instance will now be holding an AST that can further be used to evaluate the original expression.<ref name="ref_77a2cdc5" />
# The example demonstrates the use of multiple assignment and sequence points, switch statements, while-loops and composited functions with expression local variables.<ref name="ref_77a2cdc5" />
# The following example demonstrates how one can easily register a custom user defined function to be used within expression evaluations.<ref name="ref_77a2cdc5" />
# In this study, we propose a system that can recognize offline handwritten mathematical expressions using limited training data.<ref name="ref_589d7270">[https://dl.acm.org/doi/abs/10.1145/3306500.3306543 Recognizing offline handwritten mathematical expressions efficiently]</ref>
# A recursive cortical network is used to form the recognition part of the system and a new type of linked list is proposed to analyze the complex structure of the expressions.<ref name="ref_589d7270" />
# We prepared 400 real handwritten mathematical expressions from 20 different people, containing a total of 60,103 symbols from 100 symbol classes to evaluate the performance.<ref name="ref_589d7270" />
# Verbal phrases can be translated into variable expressions.<ref name="ref_3aa597be">[http://www.brainfuse.com/jsp/alc/resource.jsp?s=compass&c=42654&cc=120446 Translating Phrases to Mathematical Expressions]</ref>
# The main goal of this research project is to study, develop and validate algorithms and methods for the recognition of handwritten mathematical expressions.<ref name="ref_05299a15">[http://www.vision.ime.usp.br/~nina/expressmath.html ExpressMath - Handwritten Mathematical Expression Recognition]</ref>
# Abstract : In this paper, we propose a new framework for online handwritten mathematical expression recognition.<ref name="ref_380fe017">[https://hal.inria.fr/inria-00104743 On-Line Recognition of Handwritten Mathematical Expressions Based on Stroke-Based Stochastic Context-Free Grammar]</ref>
# With this method, we can simultaneously recognize the symbols and structure of an expression within the grammatical constraint.<ref name="ref_380fe017" />
===소스===
<references />

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-== 메타데이터 ==
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 ===위키데이터===
 * ID :  [https://www.wikidata.org/wiki/Q6498784 Q6498784]

← 이전 판		2020년 12월 26일 (토) 12:17 판
68번째 줄:		68번째 줄:
	===소스===		===소스===
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		+	== 메타데이터 ==
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		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q6498784 Q6498784]

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2021년 2월 17일 (수) 08:08에 Pythagoras0님의 편집

Pythagoras0: /* 메타데이터 */ 새 문단

Pythagoras0: /* 노트 */ 새 문단