Otherwise, it is a discrete function.Discrete Functions: A discrete function is a function where the values in the ordered pairs are separate from each other and are not interconnected. In other words, the values of the functions are distinct and separate from each other. The data that ...
And continuous functions have discrete properties: A continuously differentiable functionf : [a, b] → wheref(x) = 0impliesf′(x) ≠ 0, andf(a) f(b) < 0, has an odd number of zeros in [a, b]…BUILDING PROOFS:A Practical Guidedoi:10.1142/9789814641319_0003Suely Oliveira...
A fast parameter estimation method for high-frequency oscillation based on empirical wavelet transform and moving least square Article Open access 02 January 2025 A comprehensive guide to selecting suitable wavelet decomposition level and functions in discrete wavelet transform for fault detection in dis...
We provide a second-order stochastic differential equation (SDE), which characterizes the continuous-time dynamics of accelerated stochastic mirror descent (ASMD) for strongly convex functions. This SDE plays a central role in designing new discrete-time ASMD algorithms via numerical discretization and ...
2025Advances in Continuous and Discrete Models doi:10.1186/s13662-025-03869-0 This paper establishes an SEIQR epidemic model that includes both symptomatic and asymptomatic individuals. To control COVID-19, various interventions are employed, such as social distancing, widespread use of face masks, ...
In this paper, we study the advanced differential equations and By using the generalized Riccati transformation and the Schauder-Tyichonoff theorem, we establish the conditions for the existence of positive solutions of the above equations. MSC:34K11, 39
2.1 Notation of Sobolev spaces and Friedrich’s inequality We denote the space of functions on Ω⊆Rd that are integrable in the pth power by Lp(Ω), where we assume that p∈[1,∞). Endowed with ‖u‖Lp(Ω)p:=∫Ω|u|pdx, this is a Banach space, i.e., a complete normed sp...
Onward and Upward I wrote this post because myvideo on ehad questions about how2xrepresents "staircase growth". Isn't that a smooth curve too? Sure, but most of the time we use 2 as a base to model discrete patterns.2n(where n is an integer) models discrete scenarios like coin flips...
Second, building on that understanding, trying to measure speed in a graph by interpreting the straight line graph of the high- ball glass as a tangent line on the curve of the cocktail glass 13 Discrete and continuous reasoning about change 985 (Fig. 2). Throughout this process, the ...
-convex functions [ 29 ], and h -convex functions [ 26 , 44 ]. in [ 41 ], set first obtained the riemann–liouville fractional version of the ostrowski inequality for s -convex functions. in addition to this, many researchers focused on establishing ostrowski type inequalities for certain ...