Sentence examples for by a complex function from inspiring English sources

Exact(4)

The wave can be represented by a complex function (1)- (ui X,Y ~e^[if X,Y ]. X,Y are spatial coordinates in the plane of the cell as viewed in the microscope f X,Y) is the phase alteration of the incident wave due to the cell.

Automatically, the whole boundary Γ will be parameterized by a complex function η defined on J by eta(t):= left { textstylebegin{array}l@{quad}l} eta_{0}(t), & tin J_{0} (mbox{for bounded } Omega), eta_{1}(t), & tin J_{1}, vdots eta_{m}(t), & tin J_{m}.

The effect size was the variance of the estimated means between the blades, divided by a complex function of the standard deviation (estimated at 6 for each) and the correlation (weak).

It is likely that the differences in outcome are decided by a complex function that includes the nature of the mutation and both the genetic and environmental background of the affected individual.

Similar(56)

Based on constructal theory, generalized constructal optimization of a solidification heat transfer process of slab continuous casting is carried out by taking a complex function as optimization objective.

For the fixed total raw material cost and based on constructal theory and finite time thermodynamics, a BFIM (blast furnace iron-making) process is optimized by taking a complex function as optimization objective.

Below, we first describe simulation experiments that show that log ratios measured by the array are a complex function of the methylation level of the hybridizing DNA and the GC-content of the array clones.

The RGB components of the color image are converted into the real part and the imaginary part of a complex function by employing the affine transform.

Monte Carlo simulation techniques are useful tools to get the expectation of a complex function by ergodicity of the random variables [26].

Dependence S sp(h 3) given in Fig. 8 (curve 2) has a maximum caused by that S sp is a complex function of ρ NCPM and (d + 2δ).

By letting u k be a complex function and adding a constraint (v_{k}=u_{k}^), we obtain the semi-discrete complex CD system partial_{T} rho_{k}-frac{left -frac{u_{k+1}v_{k+1}}{2}rho_{k}-frac{left -frac{u_{k+1}v_{k+1}t)}{a}=0,, (88).

Show more...

Ludwig, your English writing platform

Write better and faster with AI suggestions while staying true to your unique style.

Student

Used by millions of students, scientific researchers, professional translators and editors from all over the world!

MitStanfordHarvardAustralian Nationa UniversityNanyangOxford

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 quote

Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

Get started for free

Unlock your writing potential with Ludwig

Letters

Most frequent sentences: