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A word equation is a formal equality:= = between a pair of words and , each over an alphabet comprising both constants (c.f. ) and unknowns (c.f. ). [1] An assignment h {\displaystyle h} of constant words to the unknowns of E {\displaystyle E} is said to solve E {\displaystyle E} if it maps both sides of E {\displaystyle E} to identical words.
A logic translation is a translation of a text into a logical system. For example, translating the sentence "all skyscrapers are tall" as ∀ x ( S ( x ) → T ( x ) ) {\displaystyle \forall x(S(x)\to T(x))} is a logic translation that expresses an English language sentence in the logical system known as first-order logic .
Differential equations are subdivided into ordinary differential equations for functions of a single variable and partial differential equations for functions of multiple variables; An integral equation is a functional equation involving the antiderivatives of the unknown functions. For functions of one variable, such an equation differs from a ...
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
In 1987, Robert B. Allen demonstrated the use of feed-forward neural networks for translating auto-generated English sentences with a limited vocabulary of 31 words into Spanish. In this experiment, the size of the network's input and output layers was chosen to be just large enough for the longest sentences in the source and target language ...
The normal way of entering quotation marks in text mode (two back ticks for the left and two apostrophes for the right), such as \text {a ``quoted'' word} will not work correctly. As a workaround, you can use the Unicode left and right quotation mark characters, which are available from the "Symbols" dropdown panel beneath the editor: \text { a ...
In translation, a source text (ST) is a text written in a given source language which is to be, or has been, translated into another language, while a target text (TT) is a translated text written in the intended target language, which is the result of a translation from a given source text.
Also supports Microsoft Word equations, Wolfram Alpha to see the computation results and answers, MathJax, Google Docs equations, MathType equations, Wiki equations, AsciiMathML, and Text-To-Speech to read out math expressions. Personal Edition is for general purpose use.
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