From 7ad3b8aef5ad4492e94d350c0ce32d89797b3cab Mon Sep 17 00:00:00 2001 From: bryan newbold Date: Sun, 1 Feb 2009 08:34:55 -0500 Subject: cleanup, fixed some math --- math/algebra | 1 + 1 file changed, 1 insertion(+) (limited to 'math/algebra') diff --git a/math/algebra b/math/algebra index b337a2e..96197ff 100644 --- a/math/algebra +++ b/math/algebra @@ -5,6 +5,7 @@ Algebra .. note:: Most of the definitions and notation in the section are based on [rudin]_ or [meserve]_ .. list-table:: Closure of binary operators on given sets of numbers + * Operation - :latex:`$+$` - :latex:`$\times$` -- cgit v1.2.3 From c2a4fe1d51f1306ad10168bb3d5104f1bb04c097 Mon Sep 17 00:00:00 2001 From: bryan newbold Date: Sun, 1 Feb 2009 08:38:00 -0500 Subject: more fixes --- math/algebra | 12 ++++++------ math/tensors | 2 +- 2 files changed, 7 insertions(+), 7 deletions(-) (limited to 'math/algebra') diff --git a/math/algebra b/math/algebra index 96197ff..d43a59a 100644 --- a/math/algebra +++ b/math/algebra @@ -6,42 +6,42 @@ Algebra .. list-table:: Closure of binary operators on given sets of numbers - * Operation + * - Operation - :latex:`$+$` - :latex:`$\times$` - :latex:`$-$` - :latex:`$\divide$` - :latex:`$^$` - :latex:`$\sqrt{\text{ }}$` - * Positive Integers + * - Positive Integers - Y - Y - N - N - Y - N - * Positive rationals + * - Positive rationals - Y - Y - N - Y - Y - N - * Rationals (and zero) + * - Rationals (and zero) - Y - Y - Y - Y - Y - N - * Reals wrt positive integers + * - Reals wrt positive integers - Y - Y - Y - Y - Y - Y - * Complex numbers + * - Complex numbers - Y - Y - Y diff --git a/math/tensors b/math/tensors index e15270a..d46810e 100644 --- a/math/tensors +++ b/math/tensors @@ -46,7 +46,7 @@ as an example for a rank-3 tensor: Even a regular vector is a tensor: pass it a second vector and take the inner product (aka dot product) to get a real. -Define the **metric tensor ** +Define the **metric tensor** :m:`$\bold{g}(\vector{A}, \vector{B}) = \vector{A} \cdot \vector{B}$`. The metric tensor is rank two and symetric (the vectors A and B could be swapped without changing the scalar output value) and is the same as the inner product. -- cgit v1.2.3 From d81a634c9053bb191eabbf5e03a1a8ed03a1bde1 Mon Sep 17 00:00:00 2001 From: bryan newbold Date: Sun, 1 Feb 2009 08:41:01 -0500 Subject: algibraic names and symbols --- math/algebra | 19 +++++++++++++------ 1 file changed, 13 insertions(+), 6 deletions(-) (limited to 'math/algebra') diff --git a/math/algebra b/math/algebra index d43a59a..5f15f4a 100644 --- a/math/algebra +++ b/math/algebra @@ -6,13 +6,20 @@ Algebra .. list-table:: Closure of binary operators on given sets of numbers - * - Operation - - :latex:`$+$` - - :latex:`$\times$` - - :latex:`$-$` + * - Operation name + - addition + - product + - subtraction + - division + - power + - root + * - Operation symbol + - :latex:`$a + b$` + - :latex:`$a\times b$` + - :latex:`$a-b$` - :latex:`$\divide$` - - :latex:`$^$` - - :latex:`$\sqrt{\text{ }}$` + - :latex:`$a^b$` + - :latex:`$\sqrt{\text{a}}$` * - Positive Integers - Y - Y -- cgit v1.2.3 From 838e1b2d55f39113fffe0f998cb1011b57747691 Mon Sep 17 00:00:00 2001 From: bryan newbold Date: Sun, 1 Feb 2009 08:41:36 -0500 Subject: algibraic names and symbols again --- math/algebra | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'math/algebra') diff --git a/math/algebra b/math/algebra index 5f15f4a..3e39ddb 100644 --- a/math/algebra +++ b/math/algebra @@ -17,7 +17,7 @@ Algebra - :latex:`$a + b$` - :latex:`$a\times b$` - :latex:`$a-b$` - - :latex:`$\divide$` + - :latex:`$\frac{a}{b}$` - :latex:`$a^b$` - :latex:`$\sqrt{\text{a}}$` * - Positive Integers -- cgit v1.2.3