Áit Gach Sainmhínithe Ailgéabar Uimhreacha & Siombailí Tacair, loighic, agus cruthúnais Buartha Sainmhíniú

Buartha Sainmhíniú

Trivial is related to or being the mathematically most simple case. More generally, the term trivial is used to describe any result which requires little or no effort to derive or prove. Oftentimes, solutions involving the number zero are considered trivial whereas nonzero solutions are considered nontrivial. For instance, the equation 3x + 2y = 0 has the trivial solution x = 0, y = 0. Nontrivial solutions in this case include x = -2, y = 3, and x = 2, y = -3. The word originates from the Latin trivium, which was the lower division of the seven liberal arts in medieval universities (cf. quadrivium).

Forbhreathnú

According to the Nobel Prize winning physicist Richard Feynman, mathematicians designate any theorem as trivial once a proof has been obtained no matter how difficult the theorem was to prove in the first place. There are therefore exactly two types of true mathematical propositions: trivial ones, and those which have not yet been proven. The opposite of a trivial theorem is a deep theorem.

Sainmhínithe gaolmhara

Foinsíocht

“Trivial.” From Wolfram MathWorld, mathworld.wolfram.com/Trivial.html.

×

Barr

Amharc ar ár n -aip saor in aisce do iOS & Android.

Le haghaidh tuilleadh eolais faoinár n -aip Tabhair cuairt anseo!

Cuir leis an scáileán baile

Cuir Math Converse mar aip le do scáileán baile.

Barr

Amharc ar ár n -iarratas deisce saor in aisce do MacOS, Windows & Linux.

Le haghaidh tuilleadh eolais faoinár bhfeidhmchlár deisce Tabhair cuairt anseo!

Síneadh brabhsálaí

Amharc ar ár síneadh brabhsálaí saor in aisce do Chrome, Firefox, Edge, Safari, & Opera.

Le haghaidh tuilleadh eolais faoinár síneadh brabhsálaí Tabhair cuairt anseo!

Fáilte go Math Converse

Ionadshealbhóir

Ionadshealbhóir

Luaigh an leathanach seo

Cód QR

Tóg grianghraf den chód QR chun an leathanach seo a roinnt nó chun é a oscailt go tapa ar do ghuthán:

Cuir i láthair
×