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For example, a formula representing the structure of a clause composed of an obligatory subject tagmeme, an obligatory predicate tagmeme, and an optional object tagmeme might be Cl = + S n + P:v ± O:n (in which Cl stands for a clause of a certain type and n and v stand for the classes of nouns and verbs, respectively).
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The phrase "x is a professor" is an example of a formula; if the symbol x in this phrase is replaced by the name of a person, there results a declarative sentence that is true or false.
"Not (x ∊ y)," for example, is a formula (which is abbreviated to x ∉ y), and "There exists an x such that for every y, y ∉ x" is a formula.
For example, if a formula ¬A is on the left column of the tableau (where true formulas are listed), A will be put on the right column (where false formulas are listed).
An example of a formula in normal form is: begin{aligned} left left(P(A_{1} geq 0.3 right)lor lnotleft(Pleft(A_{2}right geq 0.1 right)lor lnot left(P(A_{3} geq 0.4right)right) & land & & & left(Pleft left(A_{1} lor lnot A_{2} lor A_{3}right)landleft(A_{1} lor A_{2} !lor !lnot A_{3}right)right geq 1right).
An example of a formula that works for me is made up of the following mix: 30% planning & 20% sincerity & 20% outreach/visibility & 15% credibility & 15% patience/resilience.
For example, a calculation formula, "x + y" or "x − y," is directly related to story formulas, not to story types and problem sentences.
For example, a typical formula clause might say: "I leave to my children the maximum allowable amount that is not subject to federal estate tax, with the remainder going to my second wife".
For example, a neighboring formula with a different number of double bond equivalents (DBEs) may increase or lower the output structures that can contain any given set of motifs in an almost unpredictable fashion.
For example, a rule for identifying chemical formulas might be that the term has no two consecutive small case letters.
Thus they differ from each other in the same way as a predicate (for example 'P') differs from a formula (for example, 'P x)').
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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