How to use four-dimensional in a sentence

Looking for sentences and phrases with the word four-dimensional? Here are some examples.

Sentence Examples The theory that Paul described in particular involves a four-dimensional space plus one time dimension, which he called the bulk. Fortunately, in living systems certain conditions must be fulfilled for three-dimensional bodies to occur in four-dimensional space. What exactly this means is hard to imagine, rather like trying to picture a four-dimensional cube. The full four-dimensional space, or five-dimensional spacetime, is referred to as the bulk. The geology of basins is a complex, four-dimensional system, of which at best we can see only small three-dimensional parts. For the extreme pathway matrix of this system, there are four singular values, indicating a four-dimensional cone residing in the nine-dimensional flux space. The number of basis vectors of this space can be selected freely, it needs not be four-dimensional. It's also possible to picture each card as a point in four-dimensional space, where each of a point's four coordinates assumes one of three possible values. One could imagine that, as a consequence of the dynamics, the extra six dimensions form a small compact space attached to each point in ordinary four-dimensional space-time. Therefore, another description of this four-dimensional sphere is that it is the set of all quadruples. But gravity in a four-dimensional universe would obey an inverse cube law. More than a century ago, Poincaré wanted to calculate a way of classifying such three-dimensional surfaces that live in four-dimensional spaces. To illustrate this question of the image requiring some advanced calculations we might also cite some four-dimensional objects made visible, optically understandable in the two-dimensional projection of a screen. So why should it not be that our four-dimensional visitor, who is invisible to us because of his four dimensions, nevertheless manifests to us in three dimensions, or as a ghost which has form without substantial substance. Regarded more accurately, this is not a property of space alone but of the four-dimensional continuum consisting of time and space conjointly. In fact, this is the direction that the European Technology Platform takes in its strategic agenda, which gives priority to new exploration technologies for four-dimensional modelling of mineral resources. The four-dimensional space is called Minkowski space-time and the curve a world line. Estimation and modelling of background error covariances for global four-dimensional variational data assimilation. In classical relativity theory, space-time is a four-dimensional construction wherein the three dimensions of space and one dimension of time are welded together. It takes time into account, so it becomes four-dimensional. Show More Sentences But when you dream, your speech can be four-dimensional. Newton's first law can be interpreted in four-dimensional space as the statement that the world lines of particles suffering no external forces are straight lines in space-time. It is remarkable that the four-dimensional orthoplex is the same polytope as the four-dimensional hemicube. In 1843 the Irish mathematician-astronomer William Rowan Hamilton represented four-dimensional vectors algebraically and invented the quaternions, the first noncommutative algebra to be extensively studied. The emphasis is on techniques, such as Kalman filtering and four-dimensional variational assimilation, and meso-scale or regional data assimilation using Doppler radars and wind profilers. The final stage of the project envisages a system of four-dimensional trajectory management based on user-preferred trajectories and self-separation between aircraft. A more general four-dimensional affine transformation will take its place which has mathematical group properties as well. The park has a range of attractions including Formula Rossa, the world's fastest roller coaster, and Speed of Magic, the region's first four-dimensional fantasy ride. Banchoff's computer-generated images of four-dimensional hypercubes, that really persuaded him that mathematics could serve as his gateway to higher-dimensional spaces. Four-dimensional fetal echocardiography can also be performed using electronic matrix array technology. Examples from Classical Literature Attempts have been made to construct drawings and models showing a four-dimensional body. Our material universe is merely the intersection of tangled world lines of geodesics in a four-dimensional continuum. I regret that it has been necessary for me in this lecture to administer such a large dose of four-dimensional geometry. Thus there are three types of parallelograms in the four-dimensional manifold of event-particles. Since an event is four-dimensional, the boundary of an event is a three-dimensional manifold. Neither has matter nor life any inclination or potency to behave in a four-dimensional manner. You must remember we're working in a four-dimensional medium. Find more words! 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