45 Collision of orbits under the action of a Drinfeld module 1:12:27 Moments of higher derivatives related to Dirichlet L-functions 37:13 mp4 56:13 Consecutive sums of two squares in arithmetic progressions 56:13 DORIAN GOLDFELD_ ORTHOGONALITY RELATIONS FOR COEFFICIENTS OF AUTOMORPHIC $L$-FUN 1...
Chen, L. and Li, H., ‘The mathematical behavior of a Volterra predator-prey model with undercrowding effect’, Annals of Differential Equations 11(1), 1995, 14–19. Google Scholar Lu, Z. and Chen, L., ‘Global asymptotic stability of the periodic Lotka–Volterra system with two-predat...
each individual, we calculate the sum of the yearly accumulated temperature in the year t of individual i(Taccume,i(t)) from the following equation. T accume,i,(t) = T accume,i,(t−1) + T i, (t) (1) where T i, (t ) = T (t) − T thre,i 0 if T (t) ≥ T ...
Here such subtle periodicity is illustrated - the periodicity of the envelope. Look at the figure below. This sound (blue) was generated as a sum of many harmonics in 'cosine-phase' - this is a complicated way to say that all harmonics peak together at the beginning of the pitch period....
There are two classes of complexity: time-dependent complexity and time-independent complexity. There are two orthogonal components of time-independent complexity, i.e., real complexity and imaginary complexity. The vector sum is called absolute complexity . Real complexity of coupled design is larger...
In 1891, Patrick Manson reported the presence of two new types of microfilariae (mf) in the blood of African patients, “filaria sanguinis hominis major” and “filaria sanguinis hominis minor,” corresponding to Loa loa and Mansonella perstans, respectively. He also showed that the former, con...
Here we present an in-depth analysis of the periodicity of the continua and broad emission lines of a quasar E1821 643. We applied non-parametric composite models, the linear sum of stationary and non-stationary Gaussian processes, and quantified contribution of their p...
An index calculation unit calculates a periodicity determination index for determining the presence of periodicity on the basis of the differential between each segment of the frequency distribution of input numerical data and a frequency distribution in
“ramping cells” in the lateral entorhinal cortex (LEC) whose ramping firing activity enables extraction of time for distinct experiences during the task14; (c) “event-specific” cells in the hippocampus coding for temporal order of events12; and (d) degradation in the population of place...
Note that the power series are indeed formal: the role of the variables is only to provide the position information on the grid. We may sum up two power series, or multiply a power series with a polynomial, but we never plug in any values in the variables. Multiplying a power series c...