From d1711b3ff95678cc9987099dd9588561f5be808e Mon Sep 17 00:00:00 2001 From: "Valmor F. de Almeida" Date: Fri, 11 Dec 2020 13:57:37 -0500 Subject: [PATCH] links fixed --- notebooks/13-nonlinear-root-finding.ipynb | 4 ++-- notebooks/14-single-reaction-equilibrium.ipynb | 4 ++-- notebooks/15-multiple-reactions-equilibrium.ipynb | 4 ++-- notebooks/15a-multiple-reactions-equilibrium.ipynb | 4 ++-- 4 files changed, 8 insertions(+), 8 deletions(-) diff --git a/notebooks/13-nonlinear-root-finding.ipynb b/notebooks/13-nonlinear-root-finding.ipynb index 1403067..ed20f4b 100644 --- a/notebooks/13-nonlinear-root-finding.ipynb +++ b/notebooks/13-nonlinear-root-finding.ipynb @@ -55,7 +55,7 @@ "metadata": {}, "source": [ "## [Introduction](#toc)\n", - "Newton's method for computing roots of a single non-linear equation, $f(x)=0$, arising from chemical reaction equilibrium is described in the course notes OneNote [ChEn-3170-nonlinalg-a](https://studentuml-my.sharepoint.com/:o:/g/personal/valmor_dealmeida_uml_edu/EsURG6azFKdHg13aiJdg0X8Bwn1JHj9ziyIz3bXrr2CjRw?e=P2EkeB). The reaction\n", + "Newton's method for computing roots of a single non-linear equation, $f(x)=0$, arising from chemical reaction equilibrium is described in the course notes OneNote [ChEn-3170-nonlinalg-a](https://studentuml-my.sharepoint.com/:o:/g/personal/valmor_dealmeida_uml_edu/Ell6JUqZ9o1Ist_e0GGKkHoB5zY7HRgL05qXcaS9qUfo_Q?e=JnPN9C). The reaction\n", "\n", "\\begin{equation*}\n", "\\text{A} + \\text{B} \\overset{K_x}{\\longleftrightarrow} \\text{C} ,\n", @@ -1196,7 +1196,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.8.5" }, "latex_envs": { "LaTeX_envs_menu_present": true, diff --git a/notebooks/14-single-reaction-equilibrium.ipynb b/notebooks/14-single-reaction-equilibrium.ipynb index 2cd8dc0..76ac1c9 100644 --- a/notebooks/14-single-reaction-equilibrium.ipynb +++ b/notebooks/14-single-reaction-equilibrium.ipynb @@ -62,7 +62,7 @@ "source": [ "## [Introduction](#toc)\n", "In the previous [notebook](https://nbviewer.jupyter.org/github/dpploy/chen-3170/blob/master/notebooks/13-nonlinear-root-finding.ipynb), an algorithm was developed for finding the equilibrium molar fractions of a single reversible chemical reaction with a fixed stoichiometry and fixed number of chemical species. Here we expand\n", - "Newton's method for computing roots of a single non-linear equation, $\\Kcal\\bigl(\\xvec(\\widehat{\\varepsilon})\\bigr)=0$, for variable stoichiometry and variable number of chemical species, described in the course notes OneNote [ChEn-3170-nonlinalg-b](https://studentuml-my.sharepoint.com/:o:/g/personal/valmor_dealmeida_uml_edu/EtF_emW_K75PmQo9mXGn-nsBi9kOwJHlJBsrbk9b-K2ogA?e=7VGodd).\n", + "Newton's method for computing roots of a single non-linear equation, $\\Kcal\\bigl(\\xvec(\\widehat{\\varepsilon})\\bigr)=0$, for variable stoichiometry and variable number of chemical species, described in the course notes OneNote [ChEn-3170-nonlinalg-b](https://studentuml-my.sharepoint.com/:o:/g/personal/valmor_dealmeida_uml_edu/EtF_emW_K75PmQo9mXGn-nsBi9kOwJHlJBsrbk9b-K2ogA?e=5kqVyk).\n", "\n", "The task at hand is to compute the equilibrium molar fraction of species undergoing a reversible reaction for an arbitrary number of species and an arbitrary stoichiometry, say\n", "\n", @@ -1168,7 +1168,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.9" + "version": "3.8.5" }, "latex_envs": { "LaTeX_envs_menu_present": true, diff --git a/notebooks/15-multiple-reactions-equilibrium.ipynb b/notebooks/15-multiple-reactions-equilibrium.ipynb index 28fe8e5..0a993c7 100644 --- a/notebooks/15-multiple-reactions-equilibrium.ipynb +++ b/notebooks/15-multiple-reactions-equilibrium.ipynb @@ -61,7 +61,7 @@ "source": [ "## [Introduction](#toc)\n", "In the previous [notebook](https://nbviewer.jupyter.org/github/dpploy/chen-3170/blob/master/notebooks/14-single-reaction-equilibrium.ipynb), a general method for finding equilibrium molar fractions for a single chemical reaction in equilibrium was developed (any number of chemical species and any stoichiometry). Here we further extend the method for a reaction mechanism involving **multiple reactions**.\n", - "Newton's method for computing roots of multiple non-linear equations, $\\Kcal\\bigl(\\xvec(\\widehat{\\epsvec})\\bigr)=0$, is described in the course notes OneNote [ChEn-3170-nonlinalg-c](https://studentuml-my.sharepoint.com/:o:/g/personal/valmor_dealmeida_uml_edu/Eg8gJsXrEclGroMucDfkv3UBYcgq-eYGMtTewKDetaePLg?e=jNonCN).\n", + "Newton's method for computing roots of multiple non-linear equations, $\\Kcal\\bigl(\\xvec(\\widehat{\\epsvec})\\bigr)=0$, is described in the course notes OneNote [ChEn-3170-nonlinalg-c](https://studentuml-my.sharepoint.com/:o:/g/personal/valmor_dealmeida_uml_edu/Eg8gJsXrEclGroMucDfkv3UBYcgq-eYGMtTewKDetaePLg?e=nJVhaH).\n", "\n", "In the case of multiple reactions we write the equilibrium functions (vector-valued function) as a vector with components\n", "\n", @@ -1165,7 +1165,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.9" + "version": "3.8.5" }, "latex_envs": { "LaTeX_envs_menu_present": true, diff --git a/notebooks/15a-multiple-reactions-equilibrium.ipynb b/notebooks/15a-multiple-reactions-equilibrium.ipynb index 0a648ee..1dee105 100644 --- a/notebooks/15a-multiple-reactions-equilibrium.ipynb +++ b/notebooks/15a-multiple-reactions-equilibrium.ipynb @@ -65,7 +65,7 @@ "source": [ "## [Introduction](#toc)\n", "In the previous [notebook](https://nbviewer.jupyter.org/github/dpploy/chen-3170/blob/master/notebooks/15-multiple-reactions-equilibrium.ipynb), a general method for finding equilibrium molar fractions for multiple chemical reactions at equilibrium was developed (any number of chemical species and any stoichiometry). Here we further explore method for a **rank-deficient** reaction mechanism involving **multiple reactions**.\n", - "Newton's method for computing roots of multiple non-linear equations, $\\Kcal\\bigl(\\xvec(\\widehat{\\epsvec})\\bigr)=0$, is described in the course notes OneNote [ChEn-3170-nonlinalg-c](https://studentuml-my.sharepoint.com/:o:/g/personal/valmor_dealmeida_uml_edu/Ei3KyNR90cVBnzOTgU04-1YBlN77e7yejChMxKWtZD3jtg?e=3N7UQF).\n", + "Newton's method for computing roots of multiple non-linear equations, $\\Kcal\\bigl(\\xvec(\\widehat{\\epsvec})\\bigr)=0$, is described in the course notes OneNote [ChEn-3170-nonlinalg-c](https://studentuml-my.sharepoint.com/:o:/g/personal/valmor_dealmeida_uml_edu/Eg8gJsXrEclGroMucDfkv3UBYcgq-eYGMtTewKDetaePLg?e=nJVhaH).\n", "\n", "In the case of multiple reactions we write the equilibrium functions (vector-valued function) as a vector with components\n", "\n", @@ -1456,7 +1456,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.8.5" }, "latex_envs": { "LaTeX_envs_menu_present": true,