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...tics)|groups]], and linear algebra with [[vector spaces]], so does Boolean algebra treat [[Boolean algebras]] as the models of the equational theory of two va ...t-theoretic foundations of mathematics, among other applications. Boolean algebra has a rich mathematical theory, though unlike group theory which exhibits c

...th>\mathbb{B} \times \mathbb{B} \times \mathbb{B}</math> or the <i>boolean cube</i> <math>\mathbb{B}^3.</math> [[Category:Algebra]]

...<math>\mathrm{proj}_{13}\!</math> is just the projection of the cartesian cube <math>X \times X \times X\!</math> on the space of shape <math>X \times X\! ...composition and ordinary [[matrix multiplication]] as it appears in linear algebra.

...lgebra, posted as a [http://mathoverflow.net/questions/9292/newbie-boolean-algebra-question problem for proof] at [http://mathoverflow.net/ MathOverFlow]. ...uction of either type of object as a matter of coloring the nodes of the 3-cube with choices from a pair of colors that stipulate which points are in the r

Figure&nbsp;13 shows the same data as a 2-colored 3-cube, coloring a node with a hollow dot (<code>o</code>) for ''false'' or a star Let me return to Peirce's early papers on the algebra of relatives to pick up the conventions that he used there, and then rewrit

...s any mathematician with a sensitivity to the ring and field properties of algebra would do: ...disadvantage of cutting or confounding the lines of communication between algebra and logic. For this reason, it will be avoided here.

...s any mathematician with a sensitivity to the ring and field properties of algebra would do: ...disadvantage of cutting or confounding the lines of communication between algebra and logic. For this reason, I am forced to avoid it here.

...s any mathematician with a sensitivity to the ring and field properties of algebra would do: ...disadvantage of cutting or confounding the lines of communication between algebra and logic. For this reason, it will be avoided here.

...s any mathematician with a sensitivity to the ring and field properties of algebra would do: ...disadvantage of cutting or confounding the lines of communication between algebra and logic. For this reason, it will be avoided here.

Let me return to Peirce's early papers on the algebra of relatives It is common in algebra to switch around

...ors. They correspond to single cells of a Venn diagram, or points of an n-cube. Put altogether, these linkages form a three part analogy between conceptu ...of their boolean universes, whether pictured as Venn diagram regions or n-cube subsets does not matter. Indicative conversion describes the traffic or ex

...ith three reel machines is that the number of combinations is only [[cube (algebra)|cubic]] &ndash; the original slot machine with three physical reels and 10

...ors. They correspond to single cells of a Venn diagram, or points of an n-cube. Put altogether, these linkages form a three part analogy between conceptu ...their boolean universes, whether pictured as Venn diagram regions or ''n''-cube subsets does not matter. Indicative conversion describes the traffic or ex

14:29 < TOS> you're the cube root of two! 18:55 < dtm_> i wrote BASIC apps to check my algebra homework. i really like algebra.

�06[11:12] * wolfgang42|busy feeds the pony a sugar cube [18:56] <Peter-C> "As the great warrior poet Ice cube once said, "If the day does not require an AK, it is good""