The Exact Geometric Computing approach requires a zero test for numbers which are built up using standard operations starting with the natural numbers. The uniformity conjecture, part of an attempt to solve this problem, postulates a simple linear relationship between the syntactic length of expressions built up from the natural numbers using field operations, radicals and exponentials and loga...

This study investigated the distribution and randomness of numbers in square root 2. Rstudio was used extracting 2 up to 1,000 digits. The Chi-square test is for testing uniformity numbers, runs numbers. Results show that distributions generated n = 100 are uniform. sequence appears be random.

The purpose of this study was to evaluate the quality and accuracy of cone beam computed tomography (CBCT) gated by active breathing control (ABC), which may be useful for image guidance in the presence of respiration. Comparisons were made between conventional ABC-CBCT (stop and go), fast ABC-CBCT (a method to speed up the acquisition by slowing the gantry instead of stopping during free breat...

in order to evaluation the effect of drought stress on germination indices and early seedling growth of medicinal herb dill (anethum graveolens l), an experiment was conducted in the agricultural laboratory of urmia payam noor university in 2015 as a randomized complete block design with four replications. treatments were five levels of drought stress (0, -1, -2, -3 and -4 bar induced by polyet...

ACR/NEMA (now DICOM) has released for public comment the Display Function Standard document. This standard, produced by ACR/NEMA Working Group XI, has been developed in order to solve the problem of standardizing the response of grey scale display systems . This paper presents a methodology proposed in the Display Function Standard for quantitatively calculating the conformance of a display dev...

Carbon-ion therapy by layer-stacking irradiation for static targets has been practised in clinical treatments. In order to apply this technique to a moving target, disturbances of carbon-ion dose distributions due to respiratory motion have been studied based on the measurement using a respiratory motion phantom, and the margin estimation given by the square root of the summation Internal margi...

BACKGROUND AND AIMS Root hair density (i.e. the number of root hairs per unit root length) in Arabidopsis thaliana varies among individual plants in response to different nutrient stresses. The degree of such variation, defined as inequality, serves as a unique indicator of the uniformity of response within a plant population to nutrient availability. METHODS Using the Gini coefficient (G) as...

The levels of trees are nodes with the same distance to the root. We derive asymptotic approximations to the correlation coefficients of two level sizes in random recursive trees and binary search trees, which undergo sharp sign-changes when one level is fixed and the other one is varying. We also propose a new means for deriving an asymptotic estimate for the expected width, which is the numbe...