👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure ...

👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a ...

Maths exam can make the toppers fret and sweat. This we know is an established truth. It is almost again that time of the ...

Abstract: Established sensitivity results for hybrid discrete/continuous dynamic systems are generalized by relaxing smoothness assumptions on the functions governing the systems' continuous evolution ...

applying jax.grad to a function which uses diffrax to integrate a piecewise defined ODE, I observe that one partial derivative is unexpectedly zero. The ODE solver returns correct function values, ...

Abstract: We develop a novel 2D functional learning framework that employs a sparsity-promoting regularization based on second-order derivatives. Motivated by the nature of the regularizer, we ...

You are using central differences in Gradient/FirstDerivative. With wikipedia 'oscillating functions can yield zero derivative', a working Gradient with backward differences and my desired solution of ...

Alpha functions usually aim at predicting the thermodynamic properties of specific compounds in a limited range of reduced temperatures. The differences between polynomial alpha functions are mainly ...