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In his Hetuchakra ("The Wheel of 'Reason' "), Dignaga set up a matrix of nine types of middle terms, of which two yield valid conclusions, two contradictory, and the rest uncertain conclusions.
The discussion of definition in effect bore on the middle terms of demonstrative syllogisms.
Estimation for difference between the right and middle terms of (1.1) when the derivative of the function satisfies a Lipschitz condition is our next aim.
Now using Lemma 1, we shall propose some new upper bounds for the difference between the rightmost and middle terms of a weighted version of the Hadamard inequality (1.15) using preinvex and prequasiinvex mappings.
Similar(56)
Then, by the Schwartz inequality, the middle term of (3.16) is estimated by (3.17).
Then we express the middle term of equation (12) as the convex combination of the left and right terms.
It meets the requirements of formal logic, since it supplies the middle term of the syllogism, and hence is demonstrative.
The middle term of a demonstration must express the cause why the predicate of the conclusion belongs to its subject.
Strictly speaking, hads is the revelation some would add instantaneously of the middle term of the syllogism, leading to an infallible conclusion.
There remains the technical distinction, in that hads, and hads specifically, is said to disclose the middle term of the syllogism.
Replacing Ak-1in the middle term of the left-hand side expression above by Ak-a k and simplifying, we obtain.
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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