The diameter is twice the length of the radius. Mathematically, it is written as Diameter = 2 × radius. It is also the longest chord of a circle. When the diameter of a circle is given, then the radius formula is expressed as:Radius = Diameter ÷ 2...
The curvature in such a display is commonly captured by fitting a quadratic equation to the distribution; and the quadratic term is typically interpreted, in turn, to mean that the mathematically equivalent equation for describing the arithmetic distribution is a two-parameter power equation with an...
In the world of CFD, establishing trust in your simulation results is non-negotiable. Validation and verification (V&V) constitute a systematic approach to confirming that the numerical solutions are both mathematically correct and physically sound. Verification answers the question, “Are we solving th...
Turbulence is difficult to describe mathematically, as it deals with randomness, complex flows, high sensitivity to initial and boundary conditions, and much more. Most students get a gentle introduction to turbulent flow from the Navier-Stokes equations andReynolds number. It’s easy to see that ...
To take an accurate measurement, we must account for the curvature of the surface. But if the camera is positioned directly over the footprint looking downwards, it is blind to the contours of the ground. So how does photogrammetry circumvent this problem?
The gravitational effect of matter can affect the curvature of space, per general relativity, but quantum effects during the Big Bang also influenced the shape of the universe. Is the universe a sphere or flat? Whether the universe is flat or curved like a sphere (closed) depends on how clo...
Dr Elise Pegg, a senior lecturer in Bath’s Department of Mechanical Engineering, is one of the research paper authors and oversaw the study. She said: “We have mathematically represented the curl of a cut carrot over time, and showed the factors that contribute to curling. ...
Geometric distortion—The inaccurate translation of scale and location in the image. Geometric error is caused by terrain displacement, the curvature of the Earth, perspective projections and instrumentation. Each of these types of inaccuracies are removed in the orthorectification and mapping process. Fo...
As it is shown in the first part of this short essay, duality plus conservation laws allow the violation of Bell’s inequalities for any spatio-temporal separation. To dig deeper into particle dualism, in the second part, a class of models is proposed as a working framework. It encompasses...
general relativity states that gravity is how mass warps space and time. The bigger the mass, the more it warps things. Imagine that the universe is a rubber sheet covered with objects of different weights, each sitting in a curved depression formed by that object’s weight; more massive obj...