In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

CUET PG Mathematics Syllabus 2025 is designed to evaluate the aspirant’s proficiency in core mathematical concepts and ...

Definition 1.2. A double sequence is called statistically pre-cauchy if for every there exist and such that If convexity of is replaced by , then it is called a Modulus function (see Maddox [14]). An ...

Nakhchivan State University, Nakhchivan, Azerbaijan. In the present paper we investigate the effect of the weight function on global solvability of Cauchy problems (1) and (2). In the sequel, by, we ...

This technique improves the deconvolution by using reweighting strategies based on a Cauchy criterion. The resulting sparse receiver functions enhance the primary converted phases and its multiples.

Made precise and derived (with the help of Cauchy–Schwarz) the well known fact that ∇f is the steepest-ascent direction, for any scalar-valued function on a vector space with an inner product (any ...

Flat prior (not usually recommended); Super-vague but proper prior: normal(0, 1e6) (not usually recommended); Weakly informative prior, very weak: normal(0, 10); Generic weakly informative prior: ...

To a nonmathematician, having the letter "i" represent a number that does not quite exist and is "imaginary" can be hard to ...