Search results for keyword: fractal
crushing ratio
The Fragility Index
The fragility index is a measure of how vulnerable a country or political system is to social and economic disturbances. A high fragility index indicates a high level of political instability, economic hardship and social unrest. A country with a high fragility index is typica......
1050 
Avery
Physical and mechanical properties of rock mass
Introduction
Rocks as a natural material consist of numerous different minerals and they form the basis of the earth’s crust. In addition, their composition and texture determine their physical, mechanical and chemical characters. Therefore, rock mechanics deals with the interactions between roc......
diamond crystal defects
Diamond crystals, or ‘diamonds’ have long been admired for their beauty and strength. The name ‘diamond’ comes from the Greek word for ‘unbreakable’ and the exquisite hardness of diamonds makes them a desirable material for jewelry and industrial applications. Diamonds most commonly occur in......
chaos theory
Chaos Theory
Chaos theory is a branch of mathematics that studies a class of dynamic systems that are sensitive to initial conditions. Examples of chaotic systems include population dynamics, weather, and turbulence.
Chaos theory developed as a branch of mathematics in the mid-1970s due to the ......
beta coefficient
The Lévy alpha-stable distribution, also known as the Lévy-stable distribution or the stable distribution, is a type of continuous probability distribution that is associated with a family of probability distributions known as alpha-stable or stable distributions. It is sometimes also referred t......
fractal Market Hypothesis
Introduction
fractal Market Hypothesis (FMH) was first introduced by Benoit B. Mandelbrot in 1967. fractal Market Hypothesis states that the financial markets are not random but instead display statistically self-similar properties across different timescales. This means that the price movements ......
dichotomy paradox
Two-Point Paradox
The two-point paradox (also known as the pearl paradox, or the dichotomy paradox) is a paradox that arises when attempting to determine the length of a curved line. The paradox states that any line that is divided into two parts of equal length must have the same length as the w......
Fracture Analysis of 45 Steel Fatigue Specimen
Ductile-brittle Transition and Fracture Microstructure Analysis of 45 Steel Fatigue Specimens
Abstract
This paper mainly studies the fracture mechanism and ductile-brittle transition of 45 steel fatigue specimens from 980-1150 MPa stress levels. Modes of fracture, fracture surfaces, and fracture......
transgranular fracture
Crystalline fracture is a term used to describe a class of fracture where a material has an ordered internal structure that often gives it strength and hardness. Crystals can fracture in a variety of ways including brittle fracture, ductile fracture and shear fracture. Crystalline fractures occur ......
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