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A given kernel or application is then characterized by a point given by its arithmetic intensity (on the x-axis). The attainable performance P {\displaystyle P} is then computed by drawing a vertical line that hits the roofline curve.
MATLAB (an abbreviation of "MATrix LABoratory" [18]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.
'When a kernel is launched the number of threads per thread block, and the number of thread blocks is specified, this, in turn, defines the total number of CUDA threads launched. [2] ' The maximum x, y and z dimensions of a block are 1024, 1024 and 64, and it should be allocated such that x × y × z ≤ 1024, which is the maximum number of ...
The X axis is now at angle α with respect to the x axis. The XYZ system rotates again about the x axis by β. The Z axis is now at angle β with respect to the z axis. The XYZ system rotates a third time about the z axis by γ. In sum, the three elemental rotations occur about z, x and z. Indeed, this sequence is often denoted z-x-z (or 3-1-3 ...
Task parallelism emphasizes the distributed (parallelized) nature of the processing (i.e. threads), as opposed to the data (data parallelism). Most real programs fall somewhere on a continuum between task parallelism and data parallelism. [3] Thread-level parallelism (TLP) is the parallelism inherent in an application that runs multiple threads ...
The arc length of one branch between x = x 1 and x = x 2 is a ln y 1 / y 2 . The area between the tractrix and its asymptote is π a 2 / 2 , which can be found using integration or Mamikon's theorem. The envelope of the normals of the tractrix (that is, the evolute of the tractrix) is the catenary (or chain curve) given by y = a ...
Every rotation in 3D space has a fixed axis unchanged by rotation. The rotation is completely specified by specifying the axis of rotation and the angle of rotation about that axis. Without loss of generality, this axis may be chosen as the z-axis of a Cartesian coordinate system, allowing a simpler visualization of the rotation.
Any point above the x-axis is displaced to the right (increasing x) if m > 0, and to the left if m < 0. Points below the x -axis move in the opposite direction, while points on the axis stay fixed. Straight lines parallel to the x -axis remain where they are, while all other lines are turned (by various angles) about the point where they cross ...