(Fig. 6.19). These animals were observed from a stationary vehicle in the Serengeti National Park. They found that the stride frequencies chosen by the animals were confined to one relatively narrow range for w
Geometric Mean 7.1
. Like the Laplace–Beltrami spectrum encoding intrinsic geometry, the Steklov spectrum encodes extrinsic geometry information: the Steklov heat kernel admits an asymptotic expansion whose coefficients are determined by the mean and the Gaussian curvatures H...
decision making (planning), and actuation (control) [4]. First, the vehicle perceives the environment and acquires the information about its location and surrounding objects. Next, a feasible and safe path is planned for the movement of the vehicle in the environment. Finally...
In the followingdenote real numbers andna natural number. If not specified otherwise,ddenotes the metric of a metric spaceX. We denote an open ball of radiusatby. Byreversalof a curve, we mean the curve. Definition 2.1 LetXbe a metric space. ...
predicts both that the mean size of the missing angles is overestimated and increases as triangle side-length increases, and also that the variance of the distribution of angles decreases as triangle side-length increases (Similar predictions are achieved with the dynamic model. See SI, Fig.S13fo...
The mean and covariance functions are our tools for shaping the scale and smoothness of the function distribution output by the GP. In this work, we selected a linear mean function, \(m({\bf{x}})=A{\bf{x}}+b\), with weights A and bias b for hyperparameters, and a Matern ...
Geometric relations of curves and surfaces in space are developed, and the concept of mean curvature is discussed in detail. Explicit and implicit surfaces are defined, and Euler's theorem is proved. Furthermore, a formal description of initial and boundary value problems, as they apply to free...
An online analysis computed mean and median positive predictive values of 93.43 % and 100 %, respectively, obtained after a recalibration time of < 10 min (including electrode placement, data recording and model training), a reduction of 89.4 % in setup time when compared to a non-transfer ...
means for determining the value of an alignment parameter for a new geometric figure provided to the display screen; means for determining, for a cluster of geometric figures on said display screen, a fixed value for the alignment parameter, a mean value of the alignment parameter, and a varia...