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"separate bounds" is a correct and usable phrase in written English
It can be used when referring to boundaries or limits that are distinct and independent from each other. Example: The company had to set separate bounds for each department's budget in order to manage their finances effectively.
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Next, we show how the existing 2-D AOA CRLBs may be modified from the optimal "joint" bound into (generally suboptimal) "separate" bounds to handle lower complexity 1-D searches.
Elementary permutation matrices can be used to reorder their D to be consistent with (3.9) in "users-first" ordering, which changes (3.8) to the form shown. Users-first ordering is preferred to analyze the "separate" bounds.
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The separate bound cannot be lower than the joint bound, as any information about angle 2 that appears in sub-array 1 is ignored, and vice versa.
Neatly typed official green slips record each incident and a separate bound volume lists all the fires attended.
To form the separate bound, first we define the elements within each sub-array.
A symmetry-based approach is further used to refine this rough result in order to resize bounding boxes or to separate bounding boxes that can contain more pedestrians.
The immunoaffinity-based partitioning generated a separate bound fraction consisting of the 14 most abundant proteins and their potential associated proteins, and a flow-through fraction enriched with the less abundant proteins in CSF.
'parametric bounds' uses the original bounds from Drugowitsch et al. (2014), rather than a separate bound parameter for each modality and coherence.
The tagged proteins were first affinity purified by submitting the cleared bacterial lysates on HisTrap (GE Healthcare) or Streptactin colums (IBA), respectively and by separating bound proteins in a step-wise gradient using either 150 mM imidazole or 2.5 mM d-desthiobiotin in the final elution step.
Conversely, in both FACS and affinity-based separation, it is a significant challenge to separate the bound species (receptor ligand) from the unbound solution species.
For R2 R4, diluted samples were loaded onto the chip at a flow-rate of 100 mL/h to continuously separate protein-bound aptamers from unbound and weakly bound DNAs.
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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