Planar used in a sentence

Planar in a sentence as an adjective

There is a simpler proof that every planar graph needs at most 5 colors.

With such interfaces, there is no reason anymore to restrict to planar screens.

Apple figured out you could build the RF shield around the signal lines in a single planar unit.

When they refer to thinning the boundary air, they are not talking about within the planar air gap binding.

Because most matrix operations can be done much faster on the adjacency matrix of a planar graph due to nested dissection.

Maybe planar worms have souls...Alternatively, the hypothesis that some of your learning is stored in your nervous system outside of your brain seems compelling.

In the first part we classify all possible symmetry groups of planar n-body, collision-free choreographies.

This is a monumental theorem called the four-color theorem, which specifically states that ever planar graph is 4-colorable.

For example, non-planar designs offer a lot of potential to reduce average trace-length, which could reduce power dissipation and increase speeds in turn.

When you are working with planar undirected graphs instead of arrays, for example a HoMM3's hexagonal grid, repeatedly writing out your breadth-first-search code to do simple graph modifications/transformations gets old really fast.

It actually looks more like a redefinition than a new discovery: "It may be confusing because Goldberg called them polyhedra, a perfectly sensible name to a graph theorist, but to a geometer, polyhedra require planar faces "

The planar mode graphics had been a benefit in the more memory restricted days before; it was starting to become a problem but still, at that point Amigas tended to play the games of the day better than PCs costing 3x as much until Doom pushed 3D to the forefront.

Requiring only high school algebra as mathematical background, the book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, and a discussion of The Seven Bridges of Konigsberg.

In black-and-white photography, the colour fringes near the edges simply show up as being slightly blurry, so it's not as big of a deal as in modern colour photography.- The plane of focus might not in fact planar, but may be curved due to the lens having a simple optical design with few elements.

However, there are many difficulties in visually encoding information with the third spatial dimension, depth, which has important differences from the two planar dimensions.> The cues that convey depth information to our visual system include occlusion, perspective distortion, shadows and lighting, familiar size, stereoscopic disparity, and others.