The general completeness theorem says that a formula φ is provable in BL iff it is a general BL-tautology, i.e., a tautology for each (linearly ordered) BL-algebra L. Basic fuzzy predicate logic has the same formulas as classical predicate logic (they are built from predicates of arbitrary arity using object variables, connectives &, →, truth constant 0 and quantifiers ∀, ∃.
"Had the same formula applied to Bond," journalist Mark Head notes, "he would have been imprisoned for 50 million years".
There are Manhattan bars that cater to Southerners, like Brother Jimmy's and the Park Avenue Country Club, which all have the same formula: domestic beer and Southeastern Conference football.
A connection σ and its corresponding connection on a different space have the same formula, and thus can be written in the same notation.
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For example, 2-carboxy-D-arabinitol 1-phosphate, L-galactose-1-phosphate, D-hexose 6-phosphate and alpha-D-mannose 1-phosphate all have the same formula C6H13O9P.
Zoisite has the same chemical formula as clinozoisite but has a different crystal structure.
Marcasite, which has the same chemical formula as pyrite (FeS2) but crystallizes in the orthorhombic instead of the isometric system, alters upon weathering to ferrous sulfate and sulfuric acid.
This correlation demonstrates that the oxygenation occurred with retention of the configuration of methyl group CH3-15. 2 was named rickinic acid A. Rickinic acid B (3) has the same molecular formula C15H22O3 as 2, which was obtained by HRESIMS data.
One of the green-leaf volatiles released by tobacco plants is known as (Z -3-hexenal, but enZ -3-hexenaled by M. sexta caterpillars change some of these molecules into (E)-2-hexenal, which has the same chemical formula but a different structure.
