Now, since the problem only asks for the length of the line segment, we can use an alternative approach that makes use of the distance formula. Since dilation producessimilar shapes, we know that the length of the scaled line segment $\overline{M’N’}$ is proportional to the length of ...
KindsOfReasoning is a collection of various datasets from various sources, testing different kinds of reasoning.This repository contains the original dataset and the results of various models on it, together with code to run LLMs on the dataset through the OpenAI evals library....
geometric shape of water droplets,it was further used for predicting droplet shapes of other materials,and thus analyzing the influence of different physical properties,such as temperature,pressure,surface wettability,etc.Results show that the results of this model agree well with the experimental data...
The half widths of the water surface can be obtained from the geometric parameters of cross-section as the followingb=B2=(ha)2/5b'=B'2=(h'a)3/10b''=B''2=(h''a)1/3 Iterative formulas for alternate depths Assuming the velocity distribution is uniform and the pressure distribution is ...
geometric meanharmonic meanWe refocus attention on moment ratio diagrams and their uses in hydrology with four major objectives: (1) to summarize the information available in the literature about possible uses of the traditional moment ratio diagram introduced by Karl Pearson, which uses the ...
Pathological examination of a renal biopsy showed that there were many crystalline casts in the distal tubules that were fully or partially composed of crystals with different shapes, including rhomboid, needle, triangle, rectangle and other geometric shapes. Congo red staining was negative. Crystals ...
On account of the concentration of thermal stress, thermal barrier coatings (TBCs) often break off from the substrate partly or completely during the thermal erosion. In this paper, the thermal erosion simulation of finite element geometric models based on the possible pore shapes were implemented,...
bubble produced in different geometric shapes of products with plastic material and all kinds of transparent or opaque.obtained by electronic welding high frequency or thermosealing or with special glue may contain liquids, powders, various substances to perfect estate.articles made with such application...
A transport device for moving and transporting persons and materials and devices of all kinds through, and in, spaces which are difficult to gain access to and are connected to one another by means of pipes, ducts and similar geometric cross-sections. By means of the optimum cross-sectional ...
Procedure for obtaining insulating cell platelets for all kinds of works and constructions, characterized by depositing in a standard molds of any of the known geometric shapes a 3 - 50% cement (natural or artificial 20-60% natural calcium sulphate or artificial and 30-55% water. (Machine-...