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Part of the initial motivation for developing "thought vectors" was to improve translation software, such as Google Translate, which currently uses dictionaries to translate individual words and searches through previously translated documents to find typical translations for phrases.
A famous mathematical proof called Arrow's Impossibility Theorem, for which the Stanford economist Kenneth Arrow won the Nobel Prize in 1972, demonstrated that whenever there are more than two choices (as there always are in presidential elections, if you include the primaries), no voting system can accurately translate individual preferences into a consensus winner even in theory.
The turmoil has seemed all the more improbable in places where outsiders so long assumed that the stasis of dictatorship would survive all challenge, where They would never be beaten, where Western democracy's great luxury — the ability to translate individual will into collective action — would never take root.
Starting decades ago, they implanted arrays of approximately 100 electrodes into living monkeys, which would translate individual neuron activity to the movements of a nearby robotic arm.
The Waygo app works even if your smartphone isn't connected to the Internet by using proprietary optical-character recognition (OCR) technology and can translate individual characters and short phrases.
54 However, the lack of standards for measurement across various studies, assays, and diagnostic platforms makes it difficult to translate individual findings into clear clinical applications.
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These text translators are good for translating individual words, but often cannot handle entire phrases or paragraphs.
The second stage of reconstruction is the alignment of the images within the tilt series, so that there is no shift between projections (achieved by translating individual images with respect to each other) and that the tilt axis has the correct angle and position (achieved by rotating and translating the image series as a whole).
The use of compact stainless steel measurement probes enables simultaneous multi-point measurements at various locations on the engine with minimal changes to the base engine hardware; in addition to resolving large-scale spatial variations via simultaneous multi-probe measurements, local spatial gradients can be resolved by translating individual probes.
In the essay, Tolkien explains the difficulty of translating individual words from Old English, noting that a word like eacen ('large'strongong'supernaturallylly powerful') cannot readily be translated by the same word in each case.
The precise axial alignment of individual microfilaments permits the creation of the core bundle by simply translating individual microfilaments in the x-y plane to those positions corresponding to a hexagonal lattice with a center-to-center spacing of 12.0 nm between adjacent filaments.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com