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A structure for the language of equality consists simply of a non-empty universe of discourse; there are no relations or functions or distinguished elements.
Instead, as we have shown, determinate isotopic labeling states are distinguished elements of a multi-valued logic, whose undistinguished elements are identified with contradiction (bot) and the indeterminate isotopic labeling state (top).
A first-order theory is determined by a language and a set of selected sentences of the language those sentences of the theory that are, in an arbitrary, generalized sense, the "true" ones (called the "distinguished elements" of the set).
The association of such distinguished elements with different characteristics and the employment of suitable control techniques guarantee the voltage and frequency regulation in accordance to the international standards.
Roughly, the set theoretic definition says that a structure is an ordered n+1-tuple consisting of a set, a number of relations on this set, and a number of distinguished elements of this set.
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Even on AAC-encoded tracks, I was able to distinguish elements of songs that I had never noticed before.
Everyone can smell everything I can smell, but they don't know how to understand it, distinguish elements, or how to speak about it.
Fans of the Weather Channel are no doubt familiar with ground clutter, a radar phenomenon in which buildings, hills and other fixed elements of the landscape return signals that can make it difficult to distinguish elements that weather radar is designed to see, like an approaching storm.
Where the mind can distinguish elements, there must be different elements to distinguish; though, alas! there are often different elements which the mind does not distinguish.
We distinguish elements that influence regressively the competence profile, a kind of source model and the competence itself.
Aggravating factors in United States criminal codes, such as "heinous," "atrocious," "cruel," "vile," or "depraved," distinguish elements of a crime that warrant more severe sentencing.
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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