"They were very hard to use and can only visualize objects in two dimensions, so we started thinking it would be useful to expand everything".
Having solved the puzzle so many times, elite cubers like Valk, Zemdegs, and Dieckmann are able to visualize what it will look like several steps in advance – an ability known in the sport as "look ahead"– so that, once the solve begins, they rarely have to pause to figure out their next move.
Ever since I read your article, I cannot stop myself from trying to visualize the beautiful Appalachian Mountains minus the tops.
To visualize the sculptures of Praxiteles, therefore, it is well to remember how much colour added to the general effect.
It was at about this moment, say 1930, in the history of the physics of fundamental particles that serious attempts to visualize the processes in terms of everyday notions were abandoned in favour of mathematical formalisms.
But, in brief descriptions of his own age, which have not received as much attention as they deserve, he showed that he could both visualize the existence of sharp turning points in history and recognize that he was witnessing one of them: "When there is a general change of conditions... as if it were a new and repeated creation, a world brought into existence anew".
Encouraged to visualize episodes of violence or abuse during therapy, clients may subsequently have difficulty separating these imaginary events from reality.
All these effects help those present to visualize everything that the recited action of the shaman narrates.
Magnetic resonance imaging (MRI), three-dimensional diagnostic imaging technique used to visualize organs and structures inside the body without the need for X-rays or other radiation.
This geometry is more difficult to visualize, but a helpful model presents the hyperbolic plane as the interior of a circle, in which straight lines take the form of arcs of circles perpendicular to the circumference.
A way to visualize differentiability is to interpret the function f as a mapping from one plane to another.
