A brief glimpse into the past

Jose Quintana says his pitching performance 'wasn't good' in 4-2 loss to Atlanta Braves | SNY
Jose Quintana says his pitching performance 'wasn't good' in 4-2 loss to Atlanta Braves | SNY

Following the Mets 4-2 loss to the Atlanta Braves, starter Jose Quintana spoke about how disappointed he was in his outing.



Divincenzo Drops 35 But Knicks Can't Hold On Late in Game 3 Loss vs Indiana Pacers | New York Knicks
Divincenzo Drops 35 But Knicks Can't Hold On Late in Game 3 Loss vs Indiana Pacers | New York Knicks

Donte Divincenzo was on fire, hitting seven threes, but The Indiana Pacers scraped by the New York Knicks in the end.



NBA Gametime reacts to Indiana Pacers beat New York Knicks 111-106 in Game 3; Haliburton KO Brunson
NBA Gametime reacts to Indiana Pacers beat New York Knicks 111-106 in Game 3; Haliburton KO Brunson

NBA Gametime reacts to Indiana Pacers beat New York Knicks 111-106 in Game 3; Haliburton K.O DiVincenzo & Brunson.



Chicago Cubs vs Pirates [Highlights] 05/10/24 | Yasmani Grandal can’t hold on at the plate!
Chicago Cubs vs Pirates [Highlights] 05/10/24 | Yasmani Grandal can’t hold on at the plate!

ChicagoCubs #PittsburghPirates #CubsVsPirates Chicago Cubs vs Pirates [Highlights] 05/10/24 | Yasmani Grandal can't hold on ...



Philadelphia Phillies vs Marlins [Highlights] May 10, 2024 1 hit 2 Run. Can't Be Stopped Phillies
Philadelphia Phillies vs Marlins [Highlights] May 10, 2024 1 hit 2 Run. Can't Be Stopped Phillies

MiamiMarlins #PhiladelphiaPhillies #MarlinsVsPhillies Philadelphia Phillies vs Marlins [Highlights] May 10, 2024 1 hit 2 Run.



Team, Place & City Details

Khabibullin

Khabibullin or Khabibulin is a Tatar masculine surname, its feminine counterpart is Khabibullina or Khabibulina.

Kravchuk

Kravchuk is a surname that derived from the occupation of tailor with addition of a common Ukrainian suffix -chuk.

Kravchuk polynomials

Kravchuk polynomials or Krawtchouk polynomials are discrete orthogonal polynomials associated with the binomial distribution, introduced by Mikhail Kravchuk (1929). The first few polynomials are (for q=2): K 0 ( x ; n ) = 1 {\displaystyle {\mathcal {K}}_{0}(x;n)=1} K 1 ( x ; n ) = − 2 x + n {\displaystyle {\mathcal {K}}_{1}(x;n)=-2x+n} K 2 ( x ; n ) = 2 x 2 − 2 n x + ( n 2 ) {\displaystyle {\mathcal {K}}_{2}(x;n)=2x^{2}-2nx+{n \choose 2}} K 3 ( x ; n ) = − 4 3 x 3 + 2 n x 2 − ( n 2 − n + 2 3 ) x + ( n 3 ) .

Krawtchouk matrices

In mathematics, Krawtchouk matrices are matrices whose entries are values of Krawtchouk polynomials at nonnegative integer points. The Krawtchouk matrix K is an (N+1)×(N+1) matrix.