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where is a function : [,), and the initial condition is a given vector. First-order means that only the first derivative of y appears in the equation, and higher derivatives are absent. Without loss of generality to higher-order systems, we restrict ourselves to first-order differential equations, because a higher-order ODE can be converted ...
A modified version of MUSIC, denoted as Time-Reversal MUSIC (TR-MUSIC) has been recently applied to computational time-reversal imaging. [11] [12] MUSIC algorithm has also been implemented for fast detection of the DTMF frequencies (Dual-tone multi-frequency signaling) in the form of C library - libmusic [13] (including for MATLAB ...
In general, any infinite series is the limit of its partial sums. For example, an analytic function is the limit of its Taylor series, within its radius of convergence. = =. This is known as the harmonic series. [6]
Important in complex analysis and geometric function theory [15] Logistic differential equation (sometimes known as the Verhulst model) 2 = (()) Special case of the Bernoulli differential equation; many applications including in population dynamics [16] Lorenz attractor: 1
Despite retailers offering holiday discounts earlier than usual this year, US consumers did more shopping on Black Friday than the days leading up to it. In-store and online retail sales saw a 3.4 ...
Multiple players and staff members were reportedly wondering why no timeout was called. It clearly wasn't just another loss for the 4-8 team. “Guys were furious,” a staff member said. “It ...
Some ODEs can be solved explicitly in terms of known functions and integrals. When that is not possible, the equation for computing the Taylor series of the solutions may be useful. For applied problems, numerical methods for ordinary differential equations can supply an approximation of the solution.
NFL power rankings Week 14: Bills, Eagles, Lions make compelling case to be No. 1 team. George Pickens injury update: Will Steelers WR play? As he deals with a balky hamstring, Pickens will be ...