Exact(1)
By utilizing the Frenet trihedron frame along the given geodesic, we express the surface pencil as a linear combination of the components of this local coordinate frame, and derive the necessary and sufficient conditions for the coefficients to satisfy both the geodesic and the isoparametric requirements.
Similar(59)
We illustrate and verify the method by finding exact surface pencil formulations for some simple surfaces, such as surfaces of revolution and ruled surfaces.
We derive a parametric representation for a surface pencil whose members share the same geodesic curve as an isoparametric curve.
CA encapsulated on MWCNTs (CA@MWCNT) through continuous cyclic voltammetric on the surface of pencil graphite electrode (PGE).
The MIP film was fabricated by electropolymerization of pyrrole in the presence of hydrochlorothiazide (HCT) as template molecule after electrodepositing of carboxyl functionalized multi-walled carbon nanotubes onto the surface of pencil graphite electrode.
In the present study, the surface of pencil graphite electrode (PGE) was modified using succinamic acid functionalized second generation poly (amidoamine) (PAMAM) dendrimer (G2-PS) to design a novel single-use electrochemical DNA biosensor.
In the present study, the electrochemical sensor was designed by the modification of the fourth generation poly amido amine) (PAMAM) dendrimer onto the surface of pencil graphite electrode (G4-PDR/PGE) and this single-use dendrimer modified electrode was then examined for advanced nucleic acid detection by using electrochemical techniques.
The biosensor design consisted of the immobilization of an inosine-modified (guanine-free) probe onto the surface of pencil graphite electrode (PGE), and the detection of the duplex formation in connection with the differential pulse voltammetry(DPV) by measuring the guanine signal.
In this research, a new solid state electrode was prepared by the electrodeposition of a PPy nanolayer, which was doped with 5-sulfosalicylic acid (SSA) (Figure 1) onto the surface of pencil graphite electrode (PGE).
Brain, hand, body, surface, pencil, eye, memory: such a reduction to basics stands out in a show that pops with visual sensation.
This paper proposes a new method for designing a developable surface by constructing a surface pencil passing through a given curve, which is quite in accord with the practice in industry design and manufacture.
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