The old trace formula Tr(AB) = Tr(BA) for matrices can be extended to analytic functions of AB and BA. #math #calculus #algebra

I’m on trial for making Oracle’s licensing department cry. I give you analytic functions in one line instead of a $50k consulting week. If helping developers for free is illegal then handcuff me to the server rack. Case closed. 😜

we discovered a new family of analytic functions that take integer values at integer times, while evolving continuously in the complex plane for non-integer arguments. this construction naturally links the fibonacci sequence with complex analysis, revealing a deep unity between

Analytic Functions explained by @alexnuijten to the students in Tashkent @CentralAsiaOUG event. @oracleace

My favorite book on complex analysis is ''Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable'' by Fields medal winner Lars Ahlfors (who was the first to win the prize, alongside Jesse Douglas) First published in 1953, this text has

単位円板上の正則関数は一見単純すぎる対象に見えますが，じつはその理論は複素解析，調和解析，関数解析が融合され，非常に深化されてます。Garnett著Bounded Analytic Functionsが参考文献。初版出版当時はコロナ定理のWolffによる新証明やフェファーマン・スタインのH1-BMO理論が使われ衝撃的でした

JSON data types, RegEx, vector functions, small language models, AI Search, Copilot 🤖‼️ so much #AzureSQL news 🤯 @MuazmaZahid @bobwardms @mauridb

Did you miss "Analytic Functions – PERCENTILE_CONT / PERCENTILE_DISC"?

TIL from somebody's code... If you're creative enough, you don't need the LEAD function. 😁 But to be fair, I'm pleased that at least analytic functions were used. 👍

All general modern geometric disciplines—topology, differential and complex-analytic geometry, and algebraic geometry—start from the concept of a geometric object as a collection of spaces M and a collection F of (local) functions given on it as a starting definition.

"A study of analytic functions along with Poisson distribution" by Muhammad Ashfaq, Afis Saliu, Syed Zakar Hussain Bukhari, and Asma Munir (2025) https://t.co/6zUZg0jWv5 #math

“Science is the ultimate pornography, analytic activity whose main aim is to isolate objects or events from their contexts in time and space. This obsession with the specific activity of quantified functions is what science shares with pornography.”—J.G. Ballard

Analytic Functions – PERCENTILE_CONT / PERCENTILE_DISC

Pretty much every piece of coverage on this paper I've seen is a misrepresentation of what it says. For starters, this is a measure-theoretic statement. The probability of something being 0 does NOT mean it never happens. The main result uses a theorem on analytic functions so-

Oracle Database 21c enhanced analytic functions to support GROUPS, EXCLUDE, & the WINDOW clause: fn ( ... ) OVER ( <w> GROUPS ... EXCLUDE ... ) ... WINDOW <w> AS ( ... ) GROUPS => rows with the same sort key are in the same group EXCLUDE => omit the current or adjacent rows

ちょっと調べてみた⬇️ 1950年代後半のフランスでの手書き記法に由来 → 1960年代初頭　プリンストン大学におけるKodaira-Spencerセミナーで使用 → 1965年　Robert Gunning（上記セミナーの参加者） と Hugo Rossi による著作『Analytic Functions of Several Complex Variables』で使用される。

Yet another example of how complex analytic functions differ from real analytic: in the way their zeros act during convergence. #math #calculus #ComplexAnalysis

If two analytic functions agree on an open set, they must agree everywhere.

Norm of the Ces\`aro operator between some spaces of analytic functions.

Maryna Vyazovska made history as the 1st Ukrainian to win the Fields Medal—math’s highest honor. Science is powerful. This year, Nova Ukraine proudly supported the Winter School on Random Matrices, Random Analytic Functions, and Non-linear PDEs.