we have a normal strip of paper with surface area=A. if we make a mobius strip with it what will be the area of the mobius strip? is it A or 2A? It is neither. Its Gaussian curvature is not zero, so it is not isometric to the plane. How do you define the ...
A spherical ball will just pass through a circular hole with an area of76.6cm2. What is the volume of the ball (incm3)? Sphere and Circle: A sphere is a three-dimensional object; however, a circle is a two-dimensional object. Both the ...
Also, having a Gaussian distribution of heights does not automatically suggest uncorrelated spectra. Higher order autocorrelation functions may be needed but the topic of non-Gaussian fractal surfaces is not very developed at present. It is worth mentioning here that, in many practical applications, ...
The deconvoluted peaks, employing Gaussian fits, disclosed about seven subpeaks for all the samples (Fig. 6(b-f)). The peak located at 3.1–3.3 eV is linked with the UV emission, because of the electron-hole pairs recombination in free excitons [35]. The peak positioned around 3.03...
of a Gaussian mixture model; thirdly, stand canopy structure parameters are estimated from a divided two-dimensional hemispherical picture and classified three-dimensional point cloud data with a Miller formula method and an iterative inversion method; finally, the obtained measurement data are compared ...
The increasing availability of quantitative data on the human brain is opening new avenues to study neural function and dysfunction, thus bringing us closer and closer to the implementation of digital twin applications for personalized medicine. Here we
Remarkable advancements have been made in the design of optical metasurfaces in recent years, particularly in compact designs. However, for their practical integration into diverse optical systems, there is a pressing need for metasurfaces to transition
The best (with respect to the L(p)-metrix) estimator is proved to exist in the case of Bochner p-integrable variables. For a Hilbert space E and p = 2, the best estimator is expressed in terms of the conditional expectation and, in the case of jointly Gaussian variables, in terms of...
What is the surface area of a Gaussian sphere of radius 3.6 m? What is the buoyant force on a 465 cm^3 box which has 1/3 of its volume submerged in water? A pyramid has a height of 486 ft and its base covers an area of 11.0 acres. t...
CNN layers A single CNN layer consists of a\(3\times 3\)convolutional layer, a batch normalization layer and the ReLU activation function. The base channel size of the encoder is set as 16. In the encoder, the image-like data are downsampled progressively by a factor of 2. In the deco...