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where ρ ˆ is the density matrix of the subsystem A. The nearest-neighbor dimerized states, | Ψ ± 〉 of Eq. (9), are characterized by a strongly alternating behavior of the entanglement entropy, as shown in Figure 3: A cut through every second bond will yield strong entanglement, S = 1, as the spins ℓ and ℓ + 1 are dimerized, whereas on the other bonds no quantum information is shared, S = 0.
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Results revealed that the copolymerization of urea with BA co-monomer strongly alternated the physical and chemical properties of carbon nitride polymer by improving optical absorption and creating surface molecular heterojunction that promoted charge separation, and consequently the enhanced photocatalytic performance was achieved.
Life on earth is strongly affected by alternating day and night cycles.
"The Serpent and the Smoke" by Mr. Abraham shows him, bare chested, in constantly rippling motion: quick impulses course strongly up his body to alternating shoulders; gradually the duet shows her adding this to her vocabulary.
The transmembrane potential generated by an alternating electric field (ac) depends strongly on the frequency of the field and can be calculated using the Schwan Equation.
Aminoglycoside kinase substrate specificity follows simple rules of alternating hydroxyl and amino groups that is strongly correlated with variations at the DFG + 1 position.
Transcranial alternating current stimulation (tACS) is a revived and strongly used tool to investigate the causal role of brain oscillations on cognition and behavior.
It is shown for the first time that strongly accelerated recrystallization can also be achieved with low density alternating electric current.
He alternated between strongly worded statements supporting Israel's campaign and, apparently in response to concerns from allies that he was not urging enough restraint, telling Israel to avoid civilian casualties and the destruction of the Lebanese infrastructure.
Strongly overrepresented character states alternated seven times between the diagnostic 'Eastern' and 'Western' character states (Table 1) which indicates a novel hybrid sequence most probably generated by gene conversion.
The pattern of alternating activity in agonist and antagonist muscles seen during Parkinson's disease resting tremor strongly resembled the activity seen during voluntary flexion of the arm.
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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