Your English writing platform
Discover LudwigSuggestions(5)
Exact(7)
In this framework, both the cohesion and friction coefficient along a discontinuity are treated as Gaussian random fields which are fully described by their mean values (μc,μtanφ), standard deviations (σc,σtanφ), spatial correlation lengths (θc,θtanφ), and the parameters (ρc−tanφ,θc−tanφ) which account for the cross-correlation between cohesion and coefficient of friction.
The data are described by their mean values, their standard deviations and their 95% confidence intervals (CI).
The samples were defined by their mean values and standard deviation.
Quantitative variables (e.g., age, disease duration, absolute frequency of resource utilization) were described by their mean values and standard deviations.
Data were shown by their mean values ± standard deviation, and differences were evaluated using Student's t-test and one-way anova.
Quantitative variables with symmetric distributions were expressed by their mean values and standard deviations; those with asymmetric distributions were described by the median and interquartile interval.
Similar(53)
To compensate systemic environment and condition for MMIHC, manual IHC and automatic machine, the expression levels were normalized by their mean value of each biomarker (data not shown).
The results were analyzed per protocol, described by their mean value and standard deviation, or by frequency.
The inter-observer and intra-observer variability of GLS was expressed as the absolute difference between the measurements divided by their mean value from 20 randomly selected patients.
All relevant subject characteristics, such as age, body weight and length, gender, clinical diagnosis, will be described by their mean value and standard deviation, or percentages.
The intra-observer and inter-observer variability were expressed as relative difference (percentages), defined as difference of the means between the two measurements, divided by their mean value and multiplied by 100.
More suggestions(15)
by their own values
by their minimum values
by their empirical values
by their personal values
by their estimated values
by their mean groups
by their initial values
by their logarithmic values
by their random values
by their absolute values
by their corresponding values
by their organizational values
by their underlying values
by their allowable values
by their maximum values
Write better and faster with AI suggestions while staying true to your unique style.
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