There are two players playing the game, player U and player I. Each player chooses a (distinct) die and rolls – the player with the higher value is the winner. I kindly gives player U the first choice of any one of the three dice. Let us say that U chooses die X. After some thought, I chooses die Z, and then both players roll their dice. What are the possibilities? Because both dice have 6 side...

This paper presents the results of classifying Arabic text documents using the N-gram frequency statistics technique employing a dissimilarity measure called the “Manhattan distance”, and Dice’s measure of similarity. The Dice measure was used for comparison purposes. Results show that N-gram text classification using the Dice measure outperforms classification using the Manhattan measure.

We analyze a game in which two players choose in turn and roll an n-sided die, each player having his choice of numbering of the faces, subject to certain constraints. The player who rolls the larger number wins. We say die B “dominates” die A if P [B > A] > P [A > B]. The nontransitivity of this dominance relation for dice has been studied by several authors. We analyze the case of n-sided dic...

We present a method to address the challenging problem of segmentation of lumbar vertebrae from CT images acquired with varying fields of view. Our method is based on cascaded 3D Fully Convolutional Networks (FCNs) consisting of a localization FCN and a segmentation FCN. More specifically, in the first step we train a regression 3D FCN (we call it “LocalizationNet”) to find the bounding box of ...

Problem 1. Suppose you have seven dice—each a different color of the rainbow; otherwise the dice are standard, with faces numbered 1 to 6. A roll is a sequence specifying a value for each die in rainbow (ROYGBIV) order. For example, one roll is .3; 1; 6; 1; 4; 5; 2/ indicating that the red die showed a 3, the orange die showed 1, the yellow 6,. . . . For the problems below, describe a bijection...

Extreme transcendental differential equations are found in many applications including geophysical climate change models. Solution of these systems in continuous time has only been feasible with the recent development of Runge−Kutta sampling transcendental differential equation solvers with Chebyshev function output such as Mathematica 9÷s NDSolve function. This paper presents the challenges an...

«No se dice “¿qué?”, “¿mande?”». Origin and evolution of the formula «mande» in Spanish The objective study is to delve into origin process pragmaticalization expression mande, from a directive act speech. Although its use currently typical Mexican Spanish, where with interrogative intonation mande used respond addressee‘s call or ask recipient repeat message that sender has not understood hear...

Here is a simple trick that you can use to try to dupe a friend out of his money with high probability. Bet with him on the outcome of three specially numbered dice labelled X , Y , and Z each with six faces marked as: X (3 3 5 5 7 7), Y (2 2 4 4 9 9), Z (1 1 6 6 8 8). Each person chooses a different die. The larger number wins when the dice are rolled. Strangely, whichever die your friend has ...