The animation or capture of a virtual character’s hands is a complicated task, mostly due to the high number of degrees of freedom involved. However, the movements of different digits are often correlated with each other. In this paper we use Root Mean Square (RMS) deviations as a distance metric to analyse the correlations between different degrees of freedom of hands. Using the findings of ou...

The high-degree Earth Gravitational Model EGM08 allows for geoid determination with a resolution of the order of 5'. Using this model for estimating the quasigeoid height, we estimate the global root mean square (rms) commission error to 5 and 11 cm, based on the assumptions that terrestrial gravity contributes to the model with an rms standard error of 5 mGal and correlation length 0.01◦ and 0...

In this paper we assess Bayesian estimation and prediction using integrated Laplace approximation (INLA) on a stochastic volatility model. This was performed through a Monte Carlo study with 1000 simulated time series. To evaluate the estimation method, two criteria were considered: the bias and square root of the mean square error (smse). The criteria used for prediction are the one step ahead...

In this paper we compute the root-mean-square (RMS) gain of a switched linear system when the interval between consecutive switchings is large. The algorithm proposed is based on the fact that a given constant γ provides an upper bound on the RMS gain whenever there is a separation between the stabilizing and the antistabilizing solutions to a set of γ-dependent algebraic Riccati equations. The...

In this paper, a set of Root mean square derivative based closed Newton Cotes quadrature formula (RMSDCNC) is introduced in which the derivative value is included in addition to the existing closed Newton Cotes quadrature (CNC) formula for the calculation of a definite integral in the inetrval [a, b]. These derivative value is measured by using the root mean square value. The proposed formula y...

Continuous-time additive white Gaussian noise channels with strictly time-limited and root-mean-square (RMS) bandlimited inputs are studied. RMS bandwidth is equal to the normalized second moment of the spectrum, which has proved to be a useful and analytically tractable measure of the bandwidth of strictly time-limited waveforms. The capacity of the single-user and two-user RMS-bandlimited cha...

The Cox-Ingersoll-Ross (CIR) interest rate model is used to model interest rates and interest rate derivatives. We study the term structure equation for single-factor models that predict non-negative interest rates. It is shown using finite difference techniques that if the boundary is attainable, then this boundary behaviour serves as a boundary condition and guarantees a uniqueness of solutio...

The major problem that wireless communication systems undergo is multipath fading caused by scattering of the transmitted signal. However, we can treat multipath propagation as multiple channels between the transmitter and receiver to improve the signal-to-scattering-noise ratio. While using Single Input Multiple Output (SIMO) systems, the diversity receivers extract multiple signal branches or...