12,080
edits
Changes
MyWikiBiz, Author Your Legacy — Thursday November 28, 2024
Jump to navigationJump to searchDirectory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 03:32, 7 May 2009
, 03:32, 7 May 2009→Commentary Note 12.5
|}
|}
If <math>\mathfrak{A}</math> and <math>\mathfrak{B}</math> are two 1-dimensional matrices over the same index set <math>X,\!</math> then <math>\mathfrak{A} = \mathfrak{B}</math> if and only if <math>\mathfrak{A}_x = \mathfrak{B}_x</math> for every <math>x \in X.</math> Therefore, a routine way to check whether the 1-dimensional matrices <math>(\mathfrak{S}^\mathfrak{L})^\mathfrak{W}</math> and <math>\mathfrak{S}^{\mathfrak{L}\mathfrak{W}}</math> are equal is to check whether the following equation holds for an arbitrary index <math>x \in X.</math>
If <math>\mathfrak{A}</math> and <math>\mathfrak{B}</math> are two 1-dimensional matrices over the same index set <math>X,\!</math> then <math>\mathfrak{A} = \mathfrak{B}</math> if and only if <math>\mathfrak{A}_x = \mathfrak{B}_x</math> for every <math>x \in X.</math> Therefore, a routine way of checking whether the 1-dimensional matrices <math>(\mathfrak{S}^\mathfrak{L})^\mathfrak{W}</math> and <math>\mathfrak{S}^{\mathfrak{L}\mathfrak{W}}</math> are equal is to check whether the following equation holds for an arbitrary index <math>x \in X.</math>
{| align="center" cellspacing="6" width="90%"
{| align="center" cellspacing="6" width="90%"
