Bölüm taslağı
Double Orthogonal System of Curves
A double orthogonal system of curves, otherwise known as orthogonal trajectories, is made up of two families of curves where each curve in one family intersects each curve in the other family at right angles.
İçindekiler
Double Orthogonal System of Curves gradient fields for the multifocal scalar function φ(r)=Σqₖ*|rₖ –r|ᵐ
- Visualisation of the gradient fields of a multifocal (k = 1..n) curve with n foci for a generalised potential function of the form φ(r)=Σqₖ*|rₖ –r|ᵐ, where m∈ℝ
- Description of applet tools: The generalized potential function has the form φ(r)=Σqₖ*|rₖ –r|ᵐ, where m is a real number
- + +. Visualization of scalar and vector fields of system of two positive point charges. The generalized potential function has the form φ(r)=Σqₖ*|rₖ –r|ᵐ, where m is a real number
- + -. Visualization of scalar and vector fields of system of two positive point charges. The generalized potential function has the form φ(r)=Σqₖ*|rₖ –r|ᵐ, where m is a real number
- Images for m=-1. The generalized potential function has the form φ(r)=Σqₖ*|rₖ –r|ᵐ, where m is a real number
- Images for m=1. The generalized potential function has the form φ(r)=Σqₖ*|rₖ –r|ᵐ, where m is a real number
- Images for m=0.4. The generalized potential function has the form φ(r)=Σqₖ*|rₖ –r|ᵐ, where m is a real number
- Images of 8 examples (m = -1) of visualizations of scalar and vector fields using Equipotential, Vector Field and Iso-Magnitude Lines. The potential function is φ(r) = Σqₖ*|rₖ –r|ᵐ
- Images of 6 examples (m = 0.4) of visualizations of scalar and vector fields using Equipotential, Vector Field and Iso-Magnitude Lines. The potential function is φ(r) = Σqₖ*|rₖ –r|ᵐ
- Images of 11 examples (m =1) of visualizations of scalar and vector fields using Equipotential, Vector Field and Iso-Magnitude Lines. The potential function is φ(r) = Σqₖ*|rₖ –r|ᵐ
Double Orthogonal System of Curves gradient fields for the multifocal scalar function φ(r)= Π|rₖ –r|
- Visualisation of the gradient fields of a multifocal Cassinian curves with n foci, for a potential function of the form: φ(r) = Π|rₖ –r|, where k = 1.. n
- Images 5 examples of visualization of scalar and vector fields for multifocal Cassini curves with n foci whose potential function is φ(r) = Π|rₖ –r|, where k = 1.. n