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California's record-breaking mega-pumpkins belied the state's drought because growers sacrificed multiplicity for size – and glory.
The minimal detectable difference in lung tumor multiplicity for the current study was 37%.
However, no paper to date has discussed the multiplicity for the semipositone singular problem.
We prove the multiplicity for (GS) in Theorem 1.2 via Morse theory.
Multiplicity for the chosen model reaction will only occur under rather severe conditions.
A bifurcation study implicates input multiplicity for the observed non-linear dynamic phenomena in the two designs.
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In contrast, multiwavelet transforms use r (r ∈ ℤ and r > 1) scale functions (r-multiplicity) for this work, thus reducing the number of constraint conditions and increasing the freedom in design.
Recall the definition of focal points and their multiplicities for conjoined bases of (2.1).
This allows us to establish the semi-continuity of the generalized Samuel multiplicities for a pair of commuting operators.
Coupling constants (J) were measured in Hertz (Hz), multiplicities for H coupling are shown as s (singlet), d (doublet), t (triplet), m (multiplet), or a combination of the above.
At last, we look for a multiplicity result for heteroclinic solutions from P + to P −.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com