We give various construc- tion rules for different shapes of p(x, y)'s Newton polygon. Our method has several applications. Most interestingly, we reduce the case of solv- ing univariate polynomials f (x) modulo some composite number N of unknown factorization to the case of solving ...
Self-shaping systems offer a promising approach for making complex 3D geometries from the material-driven transformation of 2D sheets. However, current research development of such systems is focused on small-scale applications. This study proposes a self-shaping composite for generation of larger-scale...
Define Objectives:Begin by outlining the specific objectives for your volume worksheet, whether it's for basic volume calculations or more complex scenarios involving irregular shapes. Select Worksheet Type:Determine the type of volume worksheet that matches your objectives and your class's age and ski...
We first voxelize the volume of a box defined to contain the extreme points of the protein’s atomic positions. Then, we use the convex hull concept to obtain the smallest convex polyhedron containing all of the protein’s atoms. In 3-dimensional space, a convex hull surface is formed by ...
a robot within the interior including an end effector for handling the wafer, the robot configured to move the wafer within a measurement volume of the contact image sensor thereby obtaining an image of at least a portion of the wafer; and a processor configured to process the image and deter...
a robot within the interior including an end effector for handling the wafer, the robot configured to move the wafer within a measurement volume of the contact image sensor thereby obtaining an image of at least a portion of the wafer; and a processor configured to process the image and deter...
shapes ofp(x,y)’s Newton polygon. Our method has several applications. Most interestingly, we reduce the case of solving univariate polynomialsf(x) modulo some composite numberNof unknown factorization to the case of solving bivariate polynomials over the integers. Hence, our approach unifies ...
10.The device of claim 1 wherein the robotic arm includes a chuck on the end effector adapted to rotate the wafer within the measurement volume of the linear array. 11.The device of claim 10 wherein the robotic arm is adapted to lift the wafer into the measurement volume of the linear ...
a robot within the interior including an end effector for handling the wafer, the robot configured to move the wafer within a measurement volume of the contact image sensor to obtain an image of the at least a portion of the wafer; anda processor configured to process the image and determine...