In chapter 2 we introduced the concept of the two-dimensional rectangular coordinate system, and defined points in space as vectors, whence we were able to draw line segments between pairs of points. To be strictly accurate, a straight line (or line for short) in two-dimensional space is ...
An algorithm for the simulation of two-dimensional spectral domain optical coherence tomography images based on Maxwell’s equations is presented. A recently developed and modified time-harmonic numerical solution of Maxwell’s equations is used to obtai
Applying axial symmetry, the embedded surface z(r) in three-dimensional space can be expressed using the following formula: $$\begin{aligned}{} & {} ds^{2}=\left[ 1+\left( \frac{dz}{dr}\right) ^{2}\right] dr^{2}+r^{2}d\Phi ^{2}. \end{aligned}$$ (39) Through comparin...
Three-dimensional (3D) molecular shapes may also be extracted from solution small-angle X-ray scattering (SAXS)2,3, whereby the few nanometers limit in the resolution4,5 is owing to the fact that only the isotropic component of the single-particle scattering intensity is accessible. The ...
Effects of two-dimensional topographies using the discrete wavenumber-boundary integral equation method in P-SV cases The effect of topography on surface motion is studied in the case of incident P and S Vwaves and in presence of an explosive source. The discrete wavenumbe... Gaffet,Ste?phane...
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Step 1: For {eq}\vec{u} - \vec{v} {/eq}, with the vectors given on the coordinate plane, first change the direction of {eq}\vec{v} {/eq} to make it {eq}-\vec{v} {/eq} and rewrite the subtraction as {eq}\vec{u} - \vec{v} = \vec{u} + (-\vec{v}) {/...
[19] Integrated Methods for the Construction of Three-Dimensional Models and Computational Probing of Structure-Function Relations in G Protein-Coupled Receptors, in Methods in Neurosciences S.C. Sealfon (Ed.), Academic Press (1995), pp. 366-428 View PDFView articleView in ScopusGoogle Scholar ...
The advent of two-dimensional materials opens new possibilities for realizing an analogy to electron microscopy in the solid state. Here we provide a perspective view on how a two-dimensional (2D) Dirac fermion-based microscope can be realistically implemented and operated, using graphene as a ...
Coherent two-dimensional (2D) optical spectroscopy has revolutionized our ability to probe many types of couplings and ultrafast dynamics in complex quantum systems. The dynamics and function of any quantum system strongly depend on couplings to the environment. Thus, studying coherent interactions for ...