Abstract: The term substitution theorem is a vital theorem in mathematical logic that concerns the replacement operation of variables within terms. In this study, we present a comprehensive ...

Ben Stokes closed ranks around his squad as England's Ashes turmoil deepened in Australia. With scrutiny intensifying off the field, the captain prioritised player welfare while chasing pride in the ...

An emotional Ben Stokes vowed to close ranks around his players amid ongoing fallout from their mid-Ashes Noosa getaway, as England's tour went from bad to worse after Jofra Archer became their latest ...

Close your eyes for a minute and imagine this Ashes scoreline was reversed. What do you reckon the reaction would be among Australians if we were 3-0 down and facing a series whitewash? We all know ...

England’s tail put up a fight on Day 5 but a recordbreaking run chase proved a bridge too far as Australia claimed an 82-run victory to ensure the Urn remains in Australian hands for the fifth Ashes ...

Head coach after defeat: ‘Sitting here 3-0, it didn’t work’ As Ben Stokes stressed his commitment to leading England after losing the Ashes inside 11 days, Brendon McCullum gave his first admission of ...

England captain Ben Stokes admitted it “sucks" to lose the Ashes inside 11 days but insisted his side will regroup and return stronger in the final two Tests in Melbourne and Sydney. The 3-0 scoreline ...

Stokes, England's Test captain since 2022, signed a new two-year central contract before this tour which runs until the end of the 2027 summer. He insisted that he "absolutely" still has the desire to ...

Brendon McCullum has admitted for the first time that mistakes in England's Ashes preparations played a part in his side's downfall Down Under. A team that travelled with wind in its sails and lofty ...

Stokes jumped in anger and tossed up his bat before walking back to the dressing room angrily. Even during his walk back, he kept saying things to himself and was visibly disappointed. Stokes inspired ...

Ben Stokes and Jofra Archer have buried the hatchet after their day two clash with a touching gesture from the latter showing all is fine between the two stars after their stunning partnership ...