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This also means that the two truths must be construed as corresponding to distinct spheres belonging to distinct modes of consciousness: conventional truth corresponds to ignorance and ultimate truth to wisdom.
Multiple stable chaotic solutions corresponding to distinct but extremely close initial conditions are revealed.
The propellant protons can be schematically divided into three segmental mobilities corresponding to distinct relaxation times.
Next, we prove the orthogonality of two eigenfunctions corresponding to distinct eigenvalues.
Let u and υ be eigenfunctions of BVTP (1 - 5) corresponding to distinct eigenvalues λ and μ, respectively.
However, these discontinuities help to classify the system's responses and identify regions of the design space corresponding to distinct dynamic behaviors.
PCR TTGE allowed the clear separation of amplicons corresponding to distinct fungal species (both Ascomycota and Basidiomycota) that may be encountered in air.
The 3D endmember fraction space obtained from ETM+ imagery forms a ternary distribution of reflectance properties corresponding to distinct biophysical surface types.
Let (u_{1}) and (u_{2}) be eigenfunctions of BVTP (1 - 5) corresponding to distinct eigenvalues (lambda_{1}) and (lambda_{2}).
We pointed that its eigenvalues related to the Coulomb potential with the certain boundary conditions are real and its eigenfunctions corresponding to distinct eigenvalues are orthogonal.
For each choice of material parameters, there is shown to be an infinite set of values of Q corresponding to distinct quasi-resonance mode numbers.
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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