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Slack variables give an embedding of a polytope into the standard f-orthant, where is the number of constraints (facets of the polytope). This map is one-to-one (slack variables are uniquely determined) but not onto (not all combinations can be realized), and is expressed in terms of the constraints (linear functionals, covectors).
Google Translate is a multilingual neural machine translation service developed by Google to translate text, documents and websites from one language into another. It offers a website interface, a mobile app for Android and iOS, as well as an API that helps developers build browser extensions and software applications. [3]
In some cases words have entered the English language by multiple routes - occasionally ending up with different meanings, spellings, or pronunciations, just as with words with European etymologies. Many entered English during the British Raj in colonial India. These borrowings, dating back to the colonial period, are often labeled as "Anglo ...
Slack, the leftover resources (money, time, etc.) available to an individual for expenses that may arise, is the most important contributing factor to the scarcity cycle. Individuals with slack and those without it are impacted in very different ways.
The content translation tool assists users in translating existing Wikipedia articles from one language to another. Users select an article in any language, then select another language, and the interface provides machine translation which the human user can then use as inspiration to make readable text in another language.
Google Translate previously first translated the source language into English and then translated the English into the target language rather than translating directly from one language to another. [11] A July 2019 study in Annals of Internal Medicine found that "Google Translate is a viable, accurate tool for translating non–English-language ...
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Note that Hindi–Urdu transliteration schemes can be used for Punjabi as well, for Gurmukhi (Eastern Punjabi) to Shahmukhi (Western Punjabi) conversion, since Shahmukhi is a superset of the Urdu alphabet (with 2 extra consonants) and the Gurmukhi script can be easily converted to the Devanagari script.