Maths Continuity and Differentiability Formulas: Calculus comprises nearly half of the curriculum of the CBSE class 12 mathematics syllabus. Chapter 5 Continuity and Differentiability is one of the ...

Abstract: Real-world analog systems, such as photonic neural networks, intrinsically suffer from noise that can impede model convergence and accuracy for a variety of deep learning models. In the ...

CBSE 2025 Competency-Based Questions: The Central Board of Secondary Education (CBSE) has officially released the practice question paper for the academic year 2024-25, for the class 12th on its ...

If \(f\) is differentiable on \([-1,1]\) then \(f\) is continuous at \(x=0\text{.}\) If \(f'(x)\lt 0\) and \(f"(x)>0\) for all \(x\) then \(f\) is concave down ...

ABSTRACT: The asymptotic behavior for a sequence of integrals ∫ a b f( x )g( nx )dx , a,b∈ℝ, as n→∞, is investigated, where f is continuous differentiable function and g is a continuous and periodic ...

Abstract: Differentiable optimization is popular for its efficiency and explainability. However, it faces limitations due to its reliance on continuous formulations and constraints on objective ...