diff --git a/.gitignore b/.gitignore index f073aa333..25ff6f754 100644 --- a/.gitignore +++ b/.gitignore @@ -7,3 +7,4 @@ assets/indices/linkIndex.json assets/indices/contentIndex.json content/Obsidian\ Vault/textbooks/ content/Obsidian\ Vault/private/ +content/Obsidian\ Vault/pocket/ diff --git a/config.toml b/config.toml index 803ef1ecb..ef203de37 100644 --- a/config.toml +++ b/config.toml @@ -7,6 +7,7 @@ disablePathToLower = true ignoreFiles = [ "/content/templates/*", "/content/private/*", + "/content/Obsidian Vault/templates/*" ] summaryLength = 20 paginate = 10 diff --git a/content/Obsidian Vault/.obsidian/workspace b/content/Obsidian Vault/.obsidian/workspace index e19aaa7d4..5f4f8c8ab 100644 --- a/content/Obsidian Vault/.obsidian/workspace +++ b/content/Obsidian Vault/.obsidian/workspace @@ -9,7 +9,7 @@ "state": { "type": "markdown", "state": { - "file": "Goals.md", + "file": "econometrics/stats-econ-lecture-notes-plus.md", "mode": "source" } }, @@ -21,7 +21,7 @@ "state": { "type": "markdown", "state": { - "file": "Goals.md", + "file": "econometrics/stats-econ-lecture-notes-plus.md", "mode": "preview" } }, @@ -52,7 +52,7 @@ "state": { "type": "search", "state": { - "query": "eternalfamiliesall", + "query": "{{q}", "matchingCase": true, "explainSearch": false, "collapseAll": false, @@ -101,7 +101,7 @@ "state": { "type": "backlink", "state": { - "file": "Goals.md", + "file": "econometrics/stats-econ-lecture-notes-plus.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -118,7 +118,7 @@ "state": { "type": "outgoing-link", "state": { - "file": "Goals.md", + "file": "econometrics/stats-econ-lecture-notes-plus.md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -130,7 +130,7 @@ "state": { "type": "outline", "state": { - "file": "Goals.md" + "file": "econometrics/stats-econ-lecture-notes-plus.md" } } }, @@ -154,15 +154,15 @@ }, "active": "e6ce38905c7e26b9", "lastOpenFiles": [ - "Goals.md", - "Eternalfamiliesall.md", - "binomial series.md", - "taylor.md", - "power series.md", - "orthogonal.md", - "Series.md", - "strategies for computing sum of series.md", - "remnote backup/taxes.md", - "remnote backup/why square and then square root when getting standard deviation??.md" + "econometrics/stats-econ-lecture-notes-plus.md", + "recovered stats lecture notes.md", + "econometrics/stats-econ-lecture-notes.md", + "LinearAlgebra1.md", + "mean value theorem.md", + "Integration by Parts.md", + "systems of linear equations and matrices..md", + "ss12.md", + "ss15.md", + "ss16.md" ] } \ No newline at end of file diff --git a/content/Obsidian Vault/Eternalfamiliesall.md b/content/Obsidian Vault/Eternalfamiliesall.md index 902fc3e76..004d85615 100644 --- a/content/Obsidian Vault/Eternalfamiliesall.md +++ b/content/Obsidian Vault/Eternalfamiliesall.md @@ -1,4 +1,4 @@ -not yaml +#church - Required Readings Study Guide - Reminder: In order to protect the integrity of our class quizzes and exams no questions from our study guides, quizzes, midterm, or final may be posted on-line in any public venue/format. This includes Google Docs as well as the various quizzing websites/apps like Quizlet, StudyBlue, etc. You are obviously free (and encouraged) to use any and all such sites, but if you include any questions from our class material, they must be made private so no one else can see them and they cannot be shared with others in or out of BYU. Besides the associated copyright laws (yep - weird but a teachers materials such as study guides et al. are actually copyright protected). this policy also pertains to BYU's Academic Honesty Policy and will be treated as such. - diff --git a/content/Obsidian Vault/Goals.md b/content/Obsidian Vault/Goals.md index 72dca31e3..96e00e48b 100644 --- a/content/Obsidian Vault/Goals.md +++ b/content/Obsidian Vault/Goals.md @@ -1,4 +1,4 @@ -not yaml +#todo - meditation 3x/day - deep scripture study 1hr 1x/day - workout 2x/week diff --git a/content/Obsidian Vault/Integration by Parts.md b/content/Obsidian Vault/Integration by Parts.md index 923d01575..e1b70ab18 100644 --- a/content/Obsidian Vault/Integration by Parts.md +++ b/content/Obsidian Vault/Integration by Parts.md @@ -1,5 +1,5 @@ --- -date: [[2022-05-03]] +day: [[2022-05-03]] --- #math/calculus diff --git a/content/Obsidian Vault/LinearAlgebra1.md b/content/Obsidian Vault/LinearAlgebra1.md index a496f7b95..de8a819b2 100644 --- a/content/Obsidian Vault/LinearAlgebra1.md +++ b/content/Obsidian Vault/LinearAlgebra1.md @@ -1,6 +1,6 @@ --- cards-deck: default_obsidian -date: [[2022-04-27]] +day: [[2022-04-27]] tags: #linear_algebra --- diff --git a/content/Obsidian Vault/To do Brooklyn.md b/content/Obsidian Vault/To do Brooklyn.md index 1f23e5750..7c704cbab 100644 --- a/content/Obsidian Vault/To do Brooklyn.md +++ b/content/Obsidian Vault/To do Brooklyn.md @@ -1,3 +1,4 @@ +#todo - air filter - taxes - car registration diff --git a/content/Obsidian Vault/econometrics/stats-econ-lecture-notes-plus.md b/content/Obsidian Vault/econometrics/stats-econ-lecture-notes-plus.md index 02b019c2b..a6af32492 100644 --- a/content/Obsidian Vault/econometrics/stats-econ-lecture-notes-plus.md +++ b/content/Obsidian Vault/econometrics/stats-econ-lecture-notes-plus.md @@ -3579,7 +3579,7 @@ Sample Variance 2. Wages gap between men and women: -> $n_{w} = 40$, ${{}_{w} = \$ 32,\ \sigma_{w} = \$ 13,\ \ n}_{m} = 45$, +> $n_{w} = 40$, ${q}_{w}} = \$ 32,\ \sigma_{w} = \$ 13,\ \ n}_{m} = 45$, > ${}_{m} = \$ 35$, $\sigma_{m} = \$ 15$. 1. 95% confidence intervals for men @@ -3804,7 +3804,7 @@ $\sim \chi^{2}\left( n - 1 \right) + \chi^{2}\left( 1 \right) + 0$ 2. Critical value $90.53$ 3. Test statistic - > $\left( n - 1 \right)\frac{S^{2}}{\sigma^{2}} = 70\left( \frac{{5.3}^{2}}{4^{2}} \right) = 122.9$, + > $\left( n - 1 \right)\frac{S^{2}}{\sigma^{2}} = 70\left( \frac{5.3^{2}}{4^{2}} \right) = 122.9$, > reject $H_{0}$ (from Excel, p-value is $10^{- 5}$) # L22 Regression Estimation (WMS 11.1-3) @@ -4050,7 +4050,7 @@ Intercept estimator > unbiased ☺! > It can be shown that -> $V\left( {\widehat{\beta}}_{0} \right) = \sigma_{\varepsilon}^{2}\left( \frac{1}{n} + \frac{{}^{2}}{\left( n - 1 \right)s_{x}^{2}} \right) \rightarrow 0$; +> $V\left( {\widehat{\beta}}_{0} \right) = \sigma_{\varepsilon}^{2}\left( \frac{1}{n} + \frac{q}^{2}}{\left( n - 1 \right)s_{x}^{2}} \right) \rightarrow 0$; > consistent ☺! 1. \[For those curious, @@ -4063,7 +4063,7 @@ Intercept estimator > > $= V\left( \right) + {}^{2}V\left( {\widehat{\beta}}_{1} \right) - 2\text{Cov}\left( ,{\widehat{\beta}}_{1} \right)$ > -> $= \frac{\sigma_{\varepsilon}^{2}}{n} + {}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 0 = \sigma_{\varepsilon}^{2}\left( \frac{1}{n} + \frac{{}^{2}}{\left( n - 1 \right)s_{x}^{2}} \right) \rightarrow 0$ +> $= \frac{\sigma_{\varepsilon}^{2}}{n} + {}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 0 = \sigma_{\varepsilon}^{2}\left( \frac{1}{n} + \frac{q}^{2}}{\left( n - 1 \right)s_{x}^{2}} \right) \rightarrow 0$ > > Note: $C\left( ,{\widehat{\beta}}_{1} \right) = 0$ because… > @@ -4097,7 +4097,7 @@ Prediction estimator > \[$V\left( \widehat{\beta_{0} + \beta_{1}x_{i}} \right) = V\left( {\widehat{\beta}}_{0} \right) + x_{i}^{2}V\left( {\widehat{\beta}}_{1} \right) + 2Cov\left( {\widehat{\beta}}_{0},{\widehat{\beta}}_{1}x_{i} \right)$ > -> $= \sigma_{\varepsilon}^{2}\left( \frac{1}{n} + \frac{{}^{2}}{S_{\text{xx}}} \right) + {(x_{i})}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 2x_{i}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$ +> $= \sigma_{\varepsilon}^{2}\left( \frac{1}{n} + \frac{q}^{2}}{S_{\text{xx}}} \right) + {(x_{i})}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 2x_{i}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$ > (since > $\text{Cov}\left( {\widehat{\beta}}_{0},{\widehat{\beta}}_{1} \right) = Cov\left( - {\widehat{\beta}}_{1},{\widehat{\beta}}_{1} \right) = 0 - \frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$) > $= \sigma_{\varepsilon}^{2}\left( \frac{1}{n} + \frac{\left( x_{i} - \right)^{2}}{S_{\text{xx}}} \right) = \sigma_{\varepsilon}^{2}\left( \frac{1}{n} + \frac{\left( x_{i} - \right)^{2}}{S_{\text{xx}}} \right)$\] diff --git a/content/Obsidian Vault/econometrics/stats-econ-lecture-notes.md b/content/Obsidian Vault/econometrics/stats-econ-lecture-notes.md index ed64dbe52..518e8decf 100644 --- a/content/Obsidian Vault/econometrics/stats-econ-lecture-notes.md +++ b/content/Obsidian Vault/econometrics/stats-econ-lecture-notes.md @@ -347,7 +347,7 @@ ii. Excel: use VAR.S or STDEV.S, not =VAR.P or =STDEV.P - Relating quantitative and binary variables: conditional distributions, conditional means $E(X = 0)$, $E(X = 1)$ - Wages gap between men and women: - $n_{w} = 40$, ${{}_{w} =\$ 32,\sigma_{w} =\$ 13,n}_{m} = 45$, ${}_{m} =\$ 35$, $\sigma_{m} =\$ 15$. + $n_{w} = 40$, ${q_{w} =\$ 32,\sigma_{w} =\$ 13,n}_{m} = 45$, ${}_{m} =\$ 35$, $\sigma_{m} =\$ 15$. - 95% confidence intervals for men $\lbrack\$ 30.62,\$ 39.38\rbrack$ and women $\lbrack\$ 27.97,\$ 36.03\rbrack$ overlap, making it difficult to tell true size of wage gap (if any) @@ -464,7 +464,7 @@ $\sim\chi^{2}(n - 1) +\chi^{2}(1) + 0$ - Hypothesis test 1. $H_{a}:\sigma^{2} > 4^{2}$, $\alpha = .05$ 2. Critical value $90.53$ - 3. Test statistic $(n - 1)\frac{S^{2}}{\sigma^{2}} = 70(\frac{{5.3}^{2}}{4^{2}}) = 122.9$, reject $H_{0}$ (from Excel, p-value is $10^{- 5}$) + 3. Test statistic $(n - 1)\frac{S^{2}}{\sigma^{2}} = 70(\frac{5.3^{2}}{4^{2}}) = 122.9$, reject $H_{0}$ (from Excel, p-value is $10^{- 5}$) # L22 Regression Estimation (WMS 11.1-3) @@ -606,10 +606,10 @@ Slope estimator Intercept estimator 1. It can be shown that $E({\widehat{\beta}}_{0}) =\ldots =\beta_{0}$; unbiased ☺! - It can be shown that $V({\widehat{\beta}}_{0}) =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{{}^{2}}{(n - 1)s_{x}^{2}})arrow 0$; consistent ☺! + It can be shown that $V({\widehat{\beta}}_{0}) =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{q^{2}}{(n - 1)s_{x}^{2}})arrow 0$; consistent ☺! -\[For those curious, - $E({\widehat{\beta}}_{0}) = E(\frac{1}{n}Y_{i} - {\widehat{\beta}}_{1}) =\frac{1}{n}\lbrack\beta_{0} +\beta_{1}x_{i} + E(\varepsilon_{i})\rbrack - E({\widehat{\beta}}_{1})$ $=\frac{n\beta_{0}}{n} +\beta_{1}\frac{1}{n}x_{i} -\beta_{1} =\beta_{0}$ $V({\widehat{\beta}}_{0}) = V(- {\widehat{\beta}}_{1})$ $= V() + {}^{2}V({\widehat{\beta}}_{1}) - 2\text{Cov}(,{\widehat{\beta}}_{1})$ $=\frac{\sigma_{\varepsilon}^{2}}{n} + {}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 0 =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{{}^{2}}{(n - 1)s_{x}^{2}})arrow 0$ Note: $C(,{\widehat{\beta}}_{1}) = 0$ because... $C(\frac{1}{n}Y_{i},\frac{1}{S_{\text{xx}}}(x_{i} -)Y_{j}) =\frac{1}{nS_{\text{xx}}}C(Y_{i},(x_{i} -)Y_{j})$ $=\frac{1}{nS_{\text{xx}}}\lbrack(x_{i} -)C(Y_{i},Y_{i}) +(x_{i} -)C(Y_{i},Y_{j})\rbrack$ $=\frac{1}{nS_{\text{xx}}}\lbrack(x_{i} -)V(Y_{i}) +(x_{i} -)0\rbrack$ $=\frac{1}{nS_{\text{xx}}}\lbrack\sigma_{y}^{2}(x_{i} -)\rbrack$ $=\frac{\sigma_{y}^{2}}{nS_{\text{xx}}}\lbrack 0\rbrack$\] + $E({\widehat{\beta}}_{0}) = E(\frac{1}{n}Y_{i} - {\widehat{\beta}}_{1}) =\frac{1}{n}\lbrack\beta_{0} +\beta_{1}x_{i} + E(\varepsilon_{i})\rbrack - E({\widehat{\beta}}_{1})$ $=\frac{n\beta_{0}}{n} +\beta_{1}\frac{1}{n}x_{i} -\beta_{1} =\beta_{0}$ $V({\widehat{\beta}}_{0}) = V(- {\widehat{\beta}}_{1})$ $= V() + {}^{2}V({\widehat{\beta}}_{1}) - 2\text{Cov}(,{\widehat{\beta}}_{1})$ $=\frac{\sigma_{\varepsilon}^{2}}{n} + {}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 0 =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{q^{2}}{(n - 1)s_{x}^{2}})arrow 0$ Note: $C(,{\widehat{\beta}}_{1}) = 0$ because... $C(\frac{1}{n}Y_{i},\frac{1}{S_{\text{xx}}}(x_{i} -)Y_{j}) =\frac{1}{nS_{\text{xx}}}C(Y_{i},(x_{i} -)Y_{j})$ $=\frac{1}{nS_{\text{xx}}}\lbrack(x_{i} -)C(Y_{i},Y_{i}) +(x_{i} -)C(Y_{i},Y_{j})\rbrack$ $=\frac{1}{nS_{\text{xx}}}\lbrack(x_{i} -)V(Y_{i}) +(x_{i} -)0\rbrack$ $=\frac{1}{nS_{\text{xx}}}\lbrack\sigma_{y}^{2}(x_{i} -)\rbrack$ $=\frac{\sigma_{y}^{2}}{nS_{\text{xx}}}\lbrack 0\rbrack$\] 2. Note two pieces: small error in identifying $(\mu_{x},\mu_{y})$ and larger error in identifying slope (which matters more when ${}^{2}$ high). @@ -622,7 +622,7 @@ Prediction estimator 2. $E(\widehat{\beta_{0} +\beta_{1}x_{i}}) = E({\widehat{\beta}}_{0} + {\widehat{\beta}}_{1}x_{i}) =\beta_{0} +\beta_{1}x_{i}$; unbiased ☺! 3. $V(\widehat{\beta_{0} +\beta_{1}x_{i}}) =\ldots =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{(x_{i} -)^{2}}{S_{\text{xx}}})arrow 0$; consistent ☺! -\[$V(\widehat{\beta_{0} +\beta_{1}x_{i}}) = V({\widehat{\beta}}_{0}) + x_{i}^{2}V({\widehat{\beta}}_{1}) + 2Cov({\widehat{\beta}}_{0},{\widehat{\beta}}_{1}x_{i})$ $=\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{{}^{2}}{S_{\text{xx}}}) + {(x_{i})}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 2x_{i}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$ (since $\text{Cov}({\widehat{\beta}}_{0},{\widehat{\beta}}_{1}) = Cov(- {\widehat{\beta}}_{1},{\widehat{\beta}}_{1}) = 0 -\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$) $=\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{(x_{i} -)^{2}}{S_{\text{xx}}}) =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{(x_{i} -)^{2}}{S_{\text{xx}}})$\] Note: most precise close to $$; can still make predictions far away from $$, but more noisy +\[$V(\widehat{\beta_{0} +\beta_{1}x_{i}}) = V({\widehat{\beta}}_{0}) + x_{i}^{2}V({\widehat{\beta}}_{1}) + 2Cov({\widehat{\beta}}_{0},{\widehat{\beta}}_{1}x_{i})$ $=\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{q^{2}}{S_{\text{xx}}}) + {(x_{i})}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 2x_{i}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$ (since $\text{Cov}({\widehat{\beta}}_{0},{\widehat{\beta}}_{1}) = Cov(- {\widehat{\beta}}_{1},{\widehat{\beta}}_{1}) = 0 -\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$) $=\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{(x_{i} -)^{2}}{S_{\text{xx}}}) =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{(x_{i} -)^{2}}{S_{\text{xx}}})$\] Note: most precise close to $$; can still make predictions far away from $$, but more noisy 4. $\frac{\widehat{(\beta_{0} +\beta_{1}x_{i})} -(\beta_{0} +\beta_{1}x_{i})}{}\sim N(0,1)$ $\frac{\widehat{(\beta_{0} +\beta_{1}x_{i})} -(\beta_{0} +\beta_{1}x_{i})}{}\sim t(n - 2)$ diff --git a/content/Obsidian Vault/mean value theorem.md b/content/Obsidian Vault/mean value theorem.md index e8a7de541..d56bafd54 100644 --- a/content/Obsidian Vault/mean value theorem.md +++ b/content/Obsidian Vault/mean value theorem.md @@ -1,5 +1,5 @@ --- -date: [[2022-05-03]] +day: [[2022-05-03]] --- #math/calculus diff --git a/content/Obsidian Vault/recovered stats lecture notes.md b/content/Obsidian Vault/recovered stats lecture notes.md index 324906ec7..f34b2b6cc 100644 --- a/content/Obsidian Vault/recovered stats lecture notes.md +++ b/content/Obsidian Vault/recovered stats lecture notes.md @@ -1,7 +1,5 @@ --- -title: | - Econ 378 Lecture Notes\ - Joseph McMurray +title: Econ 378 Lecture Notes \ Joseph McMurray --- # L0 Introduction @@ -2109,7 +2107,7 @@ ii. Excel: use VAR.S or STDEV.S, not =VAR.P or =STDEV.P - Relating quantitative and binary variables: conditional distributions, conditional means $E(X = 0)$, $E(X = 1)$ - Wages gap between men and women: - $n_{w} = 40$, ${{}_{w} =\$ 32,\sigma_{w} =\$ 13,n}_{m} = 45$, ${}_{m} =\$ 35$, $\sigma_{m} =\$ 15$. + $n_{w} = 40$, ${q}_{w} =\$ 32,\sigma_{w} =\$ 13,n}_{m} = 45$, ${}_{m} =\$ 35$, $\sigma_{m} =\$ 15$. - 95% confidence intervals for men $\lbrack\$ 30.62,\$ 39.38\rbrack$ and women $\lbrack\$ 27.97,\$ 36.03\rbrack$ overlap, making it difficult to tell true size of wage gap (if any) @@ -2226,7 +2224,7 @@ $\sim\chi^{2}(n - 1) +\chi^{2}(1) + 0$ - Hypothesis test 1. $H_{a}:\sigma^{2} > 4^{2}$, $\alpha = .05$ 2. Critical value $90.53$ - 3. Test statistic $(n - 1)\frac{S^{2}}{\sigma^{2}} = 70(\frac{{5.3}^{2}}{4^{2}}) = 122.9$, reject $H_{0}$ (from Excel, p-value is $10^{- 5}$) + 3. Test statistic $(n - 1)\frac{S^{2}}{\sigma^{2}} = 70(\frac{5.3^{2}}{4^{2}}) = 122.9$, reject $H_{0}$ (from Excel, p-value is $10^{- 5}$) # L22 Regression Estimation (WMS 11.1-3) @@ -2368,10 +2366,10 @@ Slope estimator Intercept estimator 1. It can be shown that $E({\widehat{\beta}}_{0}) =\ldots =\beta_{0}$; unbiased ☺! - It can be shown that $V({\widehat{\beta}}_{0}) =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{{}^{2}}{(n - 1)s_{x}^{2}})arrow 0$; consistent ☺! + It can be shown that $V({\widehat{\beta}}_{0}) =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{q}^{2}}{(n - 1)s_{x}^{2}})arrow 0$; consistent ☺! -\[For those curious, - $E({\widehat{\beta}}_{0}) = E(\frac{1}{n}Y_{i} - {\widehat{\beta}}_{1}) =\frac{1}{n}\lbrack\beta_{0} +\beta_{1}x_{i} + E(\varepsilon_{i})\rbrack - E({\widehat{\beta}}_{1})$ $=\frac{n\beta_{0}}{n} +\beta_{1}\frac{1}{n}x_{i} -\beta_{1} =\beta_{0}$ $V({\widehat{\beta}}_{0}) = V(- {\widehat{\beta}}_{1})$ $= V() + {}^{2}V({\widehat{\beta}}_{1}) - 2\text{Cov}(,{\widehat{\beta}}_{1})$ $=\frac{\sigma_{\varepsilon}^{2}}{n} + {}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 0 =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{{}^{2}}{(n - 1)s_{x}^{2}})arrow 0$ Note: $C(,{\widehat{\beta}}_{1}) = 0$ because... $C(\frac{1}{n}Y_{i},\frac{1}{S_{\text{xx}}}(x_{i} -)Y_{j}) =\frac{1}{nS_{\text{xx}}}C(Y_{i},(x_{i} -)Y_{j})$ $=\frac{1}{nS_{\text{xx}}}\lbrack(x_{i} -)C(Y_{i},Y_{i}) +(x_{i} -)C(Y_{i},Y_{j})\rbrack$ $=\frac{1}{nS_{\text{xx}}}\lbrack(x_{i} -)V(Y_{i}) +(x_{i} -)0\rbrack$ $=\frac{1}{nS_{\text{xx}}}\lbrack\sigma_{y}^{2}(x_{i} -)\rbrack$ $=\frac{\sigma_{y}^{2}}{nS_{\text{xx}}}\lbrack 0\rbrack$\] + $E({\widehat{\beta}}_{0}) = E(\frac{1}{n}Y_{i} - {\widehat{\beta}}_{1}) =\frac{1}{n}\lbrack\beta_{0} +\beta_{1}x_{i} + E(\varepsilon_{i})\rbrack - E({\widehat{\beta}}_{1})$ $=\frac{n\beta_{0}}{n} +\beta_{1}\frac{1}{n}x_{i} -\beta_{1} =\beta_{0}$ $V({\widehat{\beta}}_{0}) = V(- {\widehat{\beta}}_{1})$ $= V() + {}^{2}V({\widehat{\beta}}_{1}) - 2\text{Cov}(,{\widehat{\beta}}_{1})$ $=\frac{\sigma_{\varepsilon}^{2}}{n} + {}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 0 =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{q}^{2}}{(n - 1)s_{x}^{2}})arrow 0$ Note: $C(,{\widehat{\beta}}_{1}) = 0$ because... $C(\frac{1}{n}Y_{i},\frac{1}{S_{\text{xx}}}(x_{i} -)Y_{j}) =\frac{1}{nS_{\text{xx}}}C(Y_{i},(x_{i} -)Y_{j})$ $=\frac{1}{nS_{\text{xx}}}\lbrack(x_{i} -)C(Y_{i},Y_{i}) +(x_{i} -)C(Y_{i},Y_{j})\rbrack$ $=\frac{1}{nS_{\text{xx}}}\lbrack(x_{i} -)V(Y_{i}) +(x_{i} -)0\rbrack$ $=\frac{1}{nS_{\text{xx}}}\lbrack\sigma_{y}^{2}(x_{i} -)\rbrack$ $=\frac{\sigma_{y}^{2}}{nS_{\text{xx}}}\lbrack 0\rbrack$\] 2. Note two pieces: small error in identifying $(\mu_{x},\mu_{y})$ and larger error in identifying slope (which matters more when ${}^{2}$ high). @@ -2384,7 +2382,7 @@ Prediction estimator 2. $E(\widehat{\beta_{0} +\beta_{1}x_{i}}) = E({\widehat{\beta}}_{0} + {\widehat{\beta}}_{1}x_{i}) =\beta_{0} +\beta_{1}x_{i}$; unbiased ☺! 3. $V(\widehat{\beta_{0} +\beta_{1}x_{i}}) =\ldots =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{(x_{i} -)^{2}}{S_{\text{xx}}})arrow 0$; consistent ☺! -\[$V(\widehat{\beta_{0} +\beta_{1}x_{i}}) = V({\widehat{\beta}}_{0}) + x_{i}^{2}V({\widehat{\beta}}_{1}) + 2Cov({\widehat{\beta}}_{0},{\widehat{\beta}}_{1}x_{i})$ $=\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{{}^{2}}{S_{\text{xx}}}) + {(x_{i})}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 2x_{i}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$ (since $\text{Cov}({\widehat{\beta}}_{0},{\widehat{\beta}}_{1}) = Cov(- {\widehat{\beta}}_{1},{\widehat{\beta}}_{1}) = 0 -\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$) $=\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{(x_{i} -)^{2}}{S_{\text{xx}}}) =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{(x_{i} -)^{2}}{S_{\text{xx}}})$\] Note: most precise close to $$; can still make predictions far away from $$, but more noisy +\[$V(\widehat{\beta_{0} +\beta_{1}x_{i}}) = V({\widehat{\beta}}_{0}) + x_{i}^{2}V({\widehat{\beta}}_{1}) + 2Cov({\widehat{\beta}}_{0},{\widehat{\beta}}_{1}x_{i})$ $=\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{q}^{2}}{S_{\text{xx}}}) + {(x_{i})}^{2}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}} - 2x_{i}\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$ (since $\text{Cov}({\widehat{\beta}}_{0},{\widehat{\beta}}_{1}) = Cov(- {\widehat{\beta}}_{1},{\widehat{\beta}}_{1}) = 0 -\frac{\sigma_{\varepsilon}^{2}}{S_{\text{xx}}}$) $=\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{(x_{i} -)^{2}}{S_{\text{xx}}}) =\sigma_{\varepsilon}^{2}(\frac{1}{n} +\frac{(x_{i} -)^{2}}{S_{\text{xx}}})$\] Note: most precise close to $$; can still make predictions far away from $$, but more noisy 4. $\frac{\widehat{(\beta_{0} +\beta_{1}x_{i})} -(\beta_{0} +\beta_{1}x_{i})}{}\sim N(0,1)$ $\frac{\widehat{(\beta_{0} +\beta_{1}x_{i})} -(\beta_{0} +\beta_{1}x_{i})}{}\sim t(n - 2)$ diff --git a/content/Obsidian Vault/remnote backup/Aggregate Demand and Supply.md b/content/Obsidian Vault/remnote backup/Aggregate Demand and Supply.md index ac6569d9c..454eaa8be 100644 --- a/content/Obsidian Vault/remnote backup/Aggregate Demand and Supply.md +++ b/content/Obsidian Vault/remnote backup/Aggregate Demand and Supply.md @@ -1,3 +1,4 @@ +#econ - Why Does the Aggregate-Demand Curve Slope Downward? - - The Wealth Effect↔A lower price level increases real wealth, stimulating spending on consumption. diff --git a/content/Obsidian Vault/remnote backup/Christ and Gospel exam 2.md b/content/Obsidian Vault/remnote backup/Christ and Gospel exam 2.md index e747b6843..d9eda861c 100644 --- a/content/Obsidian Vault/remnote backup/Christ and Gospel exam 2.md +++ b/content/Obsidian Vault/remnote backup/Christ and Gospel exam 2.md @@ -1,3 +1,4 @@ +#church - Gospel Authors - Mark - written by/for→Jew, gentiles diff --git a/content/Obsidian Vault/remnote backup/Daily Document.md b/content/Obsidian Vault/remnote backup/Daily Document.md index 0f4453c94..f18b1826b 100644 --- a/content/Obsidian Vault/remnote backup/Daily Document.md +++ b/content/Obsidian Vault/remnote backup/Daily Document.md @@ -1,3 +1,4 @@ +#todo - March 12th, 2022 - March 8th, 2022 - November 12th, 2021 diff --git a/content/Obsidian Vault/remnote backup/Deep Learning.md b/content/Obsidian Vault/remnote backup/Deep Learning.md deleted file mode 100644 index dc2415d0c..000000000 --- a/content/Obsidian Vault/remnote backup/Deep Learning.md +++ /dev/null @@ -1,4 +0,0 @@ ---------------------- Portal --------------------- - -- Avoided infinite recursion -- --------------------- Portal --------------------- - - - -- Avoided infinite recursion -- \ No newline at end of file diff --git a/content/Obsidian Vault/remnote backup/Econ textbook.md b/content/Obsidian Vault/remnote backup/Econ textbook.md index c46e40e2d..00314c1b1 100644 --- a/content/Obsidian Vault/remnote backup/Econ textbook.md +++ b/content/Obsidian Vault/remnote backup/Econ textbook.md @@ -1,4 +1,5 @@ -- #econ + +#econ - 1 - nutshell - The fundamental lessons about individual decision making are that people face trade-offs among alternative goals, that the cost of any action is measured in terms of forgone opportunities, that rational people make decisions by comparing marginal costs and marginal benefits, and that people change their behavior in response to the incentives they face. diff --git a/content/Obsidian Vault/remnote backup/Elders quorum lesson.md b/content/Obsidian Vault/remnote backup/Elders quorum lesson.md index 4e2283a94..138936e5d 100644 --- a/content/Obsidian Vault/remnote backup/Elders quorum lesson.md +++ b/content/Obsidian Vault/remnote backup/Elders quorum lesson.md @@ -1,3 +1,4 @@ +#church - Well, first of all, buy a big bag of flower and whatnot. Brush up on your first aid. - Primitive technology vid - https://youtu.be/NT0EmAgP-_k diff --git a/content/Obsidian Vault/remnote backup/Eternal Families Notes.md b/content/Obsidian Vault/remnote backup/Eternal Families Notes.md index ded6cb6d3..ce3f70321 100644 --- a/content/Obsidian Vault/remnote backup/Eternal Families Notes.md +++ b/content/Obsidian Vault/remnote backup/Eternal Families Notes.md @@ -1,3 +1,4 @@ +#church - [[https://www.churchofjesuschrist.org/study/general-conference/2015/04/why-marriage-why-family?lang=eng]] - According to Elder Christofferson, why is marriage more than the love couples feel for each other?↔It's a post/ office in the kingdom of God. Best setting for God's plan to thrive. - Why can no person or government alter the divine order of matrimony?↔It is not a human invention. Such marriage is indeed “from above, from God” and is as much a part of the plan of happiness as the Fall and the Atonement. diff --git a/content/Obsidian Vault/remnote backup/How to use multiprocessing python.md b/content/Obsidian Vault/remnote backup/How to use multiprocessing python.md index 6b49ddffb..b35518050 100644 --- a/content/Obsidian Vault/remnote backup/How to use multiprocessing python.md +++ b/content/Obsidian Vault/remnote backup/How to use multiprocessing python.md @@ -1,4 +1,5 @@ #code + - ` import multiprocessing, tqdm # for loading bar` - ```python collect_results = [] diff --git a/content/Obsidian Vault/remnote backup/Productivity and Growth.md b/content/Obsidian Vault/remnote backup/Productivity and Growth.md index 753b941f7..b8be8a9e7 100644 --- a/content/Obsidian Vault/remnote backup/Productivity and Growth.md +++ b/content/Obsidian Vault/remnote backup/Productivity and Growth.md @@ -1,3 +1,4 @@ +#econ - Types of Capital - Human Capital per Worker↔Skills gained and expertise had within people ^693237 - Natural Resources per Worker↔Ratio of natural resources to population. Brazil is big on this. diff --git a/content/Obsidian Vault/remnote backup/Quick Add.md b/content/Obsidian Vault/remnote backup/Quick Add.md index 23016e833..26173824f 100644 --- a/content/Obsidian Vault/remnote backup/Quick Add.md +++ b/content/Obsidian Vault/remnote backup/Quick Add.md @@ -1,2 +1,3 @@ +#tools - wagtail.io - diff --git a/content/Obsidian Vault/remnote backup/The Eternal Family Unit 6 .md b/content/Obsidian Vault/remnote backup/The Eternal Family Unit 6 .md index 6e35d3e57..6a9b252d1 100644 --- a/content/Obsidian Vault/remnote backup/The Eternal Family Unit 6 .md +++ b/content/Obsidian Vault/remnote backup/The Eternal Family Unit 6 .md @@ -1,3 +1,4 @@ +#econ - [Marriage in the Lord’s Way, Part Two ](https://www.churchofjesuschrist.org/study/ensign/1998/06/marriage-in-the-lords-way-part-one?lang=eng) - [Marriage in the Lord’s Way, Part One ](https://www.churchofjesuschrist.org/study/ensign/1998/06/marriage-in-the-lords-way-part-one?lang=eng) - What did Elder Kofford say he believes sealing refers to?→the “sealing ordinance” or “being sealed” rather than just “being married in the temple.” diff --git a/content/Obsidian Vault/remnote backup/Work Stuff.md b/content/Obsidian Vault/remnote backup/Work Stuff.md index 04723c9dc..94defb696 100644 --- a/content/Obsidian Vault/remnote backup/Work Stuff.md +++ b/content/Obsidian Vault/remnote backup/Work Stuff.md @@ -1,3 +1,4 @@ +#people - commands - tmux - ctrl-b, d diff --git a/content/Obsidian Vault/remnote backup/competitive vs monopoly.md b/content/Obsidian Vault/remnote backup/competitive vs monopoly.md index 98c77ed15..fe47b6702 100644 --- a/content/Obsidian Vault/remnote backup/competitive vs monopoly.md +++ b/content/Obsidian Vault/remnote backup/competitive vs monopoly.md @@ -1,3 +1,4 @@ +#econ - [[firms in competitive markets]] vs monopolies - ![](media/20L42MhGaErfvUqPVKb-NAzBDASkvjVQlHtQ3FHHILYONZ6ko1XpBGtRXbQTqdUBvSX9XqB7_bTSEVQJM6L4QzCqAkWcatk16ETC.png) - ![](media/FWVU-gN-pLmrzKQA1Hdpn5I2clXhenMeu0UduDexwDIEOtdRXM9j-Yh4YOtj_72ydZatsdH9A9pROOmPULFOovG1F7z9XSrDo-r4.png) diff --git a/content/Obsidian Vault/remnote backup/eternalfamiliesfast.md b/content/Obsidian Vault/remnote backup/eternalfamiliesfast.md index e22fb9cd5..37d3af6f6 100644 --- a/content/Obsidian Vault/remnote backup/eternalfamiliesfast.md +++ b/content/Obsidian Vault/remnote backup/eternalfamiliesfast.md @@ -1,3 +1,4 @@ +#church - Required Readings Study Guide - Reminder: In order to protect the integrity of our class quizzes and exams no questions from our study guides, quizzes, midterm, or final may be posted on-line in any public venue/format. This includes Google Docs as well as the various quizzing websites/apps like Quizlet, StudyBlue, etc. You are obviously free (and encouraged) to use any and all such sites, but if you include any questions from our class material, they must be made private so no one else can see them and they cannot be shared with others in or out of BYU. Besides the associated copyright laws (yep - weird but a teachers materials such as study guides et al. are actually copyright protected). this policy also pertains to BYU's Academic Honesty Policy and will be treated as such. - 0. Course Introduction diff --git a/content/Obsidian Vault/remnote backup/externalities.md b/content/Obsidian Vault/remnote backup/externalities.md index e16c72b6a..246a8a5a2 100644 --- a/content/Obsidian Vault/remnote backup/externalities.md +++ b/content/Obsidian Vault/remnote backup/externalities.md @@ -1,4 +1,4 @@ -- #econ +#econ - non-excludable→people benefit but do not pay for it. Can't exclude people from using it. - non-rival→no marginal cost of use. basically unlimited people can use it. - Public Goods↔[[externalities/non-rival]] and [[externalities/non-excludable]] diff --git a/content/Obsidian Vault/remnote backup/firms in competitive markets.md b/content/Obsidian Vault/remnote backup/firms in competitive markets.md index 07dda7cb9..69adbeda9 100644 --- a/content/Obsidian Vault/remnote backup/firms in competitive markets.md +++ b/content/Obsidian Vault/remnote backup/firms in competitive markets.md @@ -1,3 +1,4 @@ +#church - has→ - market power→when it's not perfectly competitive, somebody has market power and can choose the quantity/price - total revenue→all revenue, price X quantitiy. diff --git a/content/Obsidian Vault/remnote backup/newboi.md b/content/Obsidian Vault/remnote backup/newboi.md index d0299b8cb..910de879e 100644 --- a/content/Obsidian Vault/remnote backup/newboi.md +++ b/content/Obsidian Vault/remnote backup/newboi.md @@ -1,4 +1,4 @@ -- +#church - Required Readings Study Guide - Reminder: In order to protect the integrity of our class quizzes and exams no questions from our study guides, quizzes, midterm, or final may be posted on-line in any public venue/format. This includes Google Docs as well as the various quizzing websites/apps like Quizlet, StudyBlue, etc. You are obviously free (and encouraged) to use any and all such sites, but if you include any questions from our class material, they must be made private so no one else can see them and they cannot be shared with others in or out of BYU. Besides the associated copyright laws (yep - weird but a teachers materials such as study guides et al. are actually copyright protected). this policy also pertains to BYU's Academic Honesty Policy and will be treated as such. - diff --git a/content/Obsidian Vault/remnote backup/taxes.md b/content/Obsidian Vault/remnote backup/taxes.md index f2d8eb0e6..afcc211da 100644 --- a/content/Obsidian Vault/remnote backup/taxes.md +++ b/content/Obsidian Vault/remnote backup/taxes.md @@ -1,2 +1,3 @@ +#econ - [[Econ textbook#^78b82c]] - ![https://remnote-user-data.s3.amazonaws.com/mhH123_uA3ASqHQ2dI6O8tQqwmbG5q84hqW3qUeXg8ROmmmT3--anQcbSetqFSMKylykUic1GK8pNIr48JijDDWsFR9-F9y8V3Wu2__GUT2TWLVipAFWXLSGHF-jFm-u.png](media/https!remnote-user-data.s3.amazonaws.com!mhH123_uA3ASqHQ2dI6O8tQqwmbG5q84hqW3qUeXg8ROmmmT3--anQcbSet.png) diff --git a/content/Obsidian Vault/remnote backup/why square and then square root when getting standard deviation??.md b/content/Obsidian Vault/remnote backup/why square and then square root when getting standard deviation??.md index 51eef10ab..2a46af458 100644 --- a/content/Obsidian Vault/remnote backup/why square and then square root when getting standard deviation??.md +++ b/content/Obsidian Vault/remnote backup/why square and then square root when getting standard deviation??.md @@ -1,3 +1,4 @@ +#math - the alternative is called mean absolute deviation - $\frac {\sum (x- \bar x)}{n}$ - instead of standard deviation - $\sqrt \frac{\sum (x- \bar x)^2}{n-1}$ - reasons: diff --git a/content/Obsidian Vault/ss11.md b/content/Obsidian Vault/ss11.md index 01b956328..9730d729e 100644 --- a/content/Obsidian Vault/ss11.md +++ b/content/Obsidian Vault/ss11.md @@ -1,6 +1,6 @@ --- Date: [[2021-10-18]] -Study: Luke 16-18 +Study: "Luke 16-18" --- Last class really resonated, especially the part of class about having to replace a demon with something else. Of course, by demon, I can mean just about anything bad, like a habit, an acivity, a set of thoughts, an attitude, even people and time. I thought about habits that I'm trying to form right now. I need to find things that replace the bad thought patterns that lead me to wasting so much time on social media and such. Like, I'm stressed about how much I need to do, so often I feel like I need to take some sort of break. If that's the case, I can think up better ways to take a break, really. It's not so hard, I just go on a walk or eat something or use duolingo or watch some good youtube videos. I can think about homework in a positive way, filling my need for ease and positivity by having it in my everyday work. diff --git a/content/Obsidian Vault/ss12.md b/content/Obsidian Vault/ss12.md index 2790dc705..27b8cef21 100644 --- a/content/Obsidian Vault/ss12.md +++ b/content/Obsidian Vault/ss12.md @@ -1,6 +1,6 @@ --- Date: [[2021-10-20]] -Study: John 1-4, BD: John; John, Gospel of +Study: "John 1-4, BD: John; John, Gospel of" --- These chapters reminded me aton of the first seasons of The Chosen. Like, more so than the others. Is it because both the Gospel of John and the tv show are focused on the perspective of the apostles? That would certainly be cool if it was the case. Neat observation, I guess. It comes from the order of the stories, I think, yet I may ask prof. whether it's the unique stories found in the gospel of John. It reminds me that I intend on really studying the comparison between the different gospels. I sincerely want to know the different perspectives and purposes between the four accounts. diff --git a/content/Obsidian Vault/ss13.md b/content/Obsidian Vault/ss13.md index b803e3239..dd8f06d8b 100644 --- a/content/Obsidian Vault/ss13.md +++ b/content/Obsidian Vault/ss13.md @@ -1,6 +1,6 @@ --- Date: [[2021-10-25]] -Study: John 5-8 +Study: "John 5-8" --- Question: I heard online that the idea that Jesus even claimed to be the messiah or God is in historical dispute. That makes sense, too, considering that both the Jews and the Muslims believe many things about him, but can exclude the idea that he is literally God. It was said that many of the records of the more grandiose claims happened much later than the rest. diff --git a/content/Obsidian Vault/ss14.md b/content/Obsidian Vault/ss14.md index 0ebaf61ea..ce83ca4be 100644 --- a/content/Obsidian Vault/ss14.md +++ b/content/Obsidian Vault/ss14.md @@ -1,6 +1,6 @@ --- Date: [[2021-10-27]] -Study: John 9-12 +Study: "John 9-12" --- What's with that light metaphor?? diff --git a/content/Obsidian Vault/ss15.md b/content/Obsidian Vault/ss15.md index 5cf672c23..429eaf155 100644 --- a/content/Obsidian Vault/ss15.md +++ b/content/Obsidian Vault/ss15.md @@ -1,6 +1,6 @@ --- Date: [[2021-11-01]] -Study: BD; Bethphage; Caesar; Fig tree; Frontlets or Phylacteries; Herodians; Levirate Marriage Videos: The Lord's Triumphal Entry into Jerusalem (1:07); Jesus Cleanses the Temple (1:35) Scripture Reading: Matthew 21-23; Mark 11-12; Luke 19-20 +Study: "BD; Bethphage; Caesar; Fig tree; Frontlets or Phylacteries; Herodians; Levirate Marriage Videos: The Lord's Triumphal Entry into Jerusalem (1:07); Jesus Cleanses the Temple (1:35) Scripture Reading: Matthew 21-23; Mark 11-12; Luke 19-20" --- I always thought that Caesar was actually a name. No, it was a title, apparently. diff --git a/content/Obsidian Vault/ss16.md b/content/Obsidian Vault/ss16.md index 8f81e6b61..33cb3d7a1 100644 --- a/content/Obsidian Vault/ss16.md +++ b/content/Obsidian Vault/ss16.md @@ -1,6 +1,6 @@ --- Date: [[2021-11-03]] -Study: BD Abomination of Desolation Olives, Mount of, or Olivet Matthew 24-25 Mark 13 Luke 21 +Study: "BD Abomination of Desolation Olives, Mount of, or Olivet Matthew 24-25 Mark 13 Luke 21" --- Abomination of Desolation sounds pretty evil, but also pretty vague. It's timing is the only thing that's clear. Perhaps it points toward the general trend of wickedness increasing nowadays, and towards it inevitable consequences of the quality of life going down. People will likely less charitable and more demanding. Idk, it sounds like you'd be able to see it better if you studied the histories of societies that once were particularly degenerate. diff --git a/content/Obsidian Vault/ss19.md b/content/Obsidian Vault/ss19.md index 6869ae740..4ca5209c3 100644 --- a/content/Obsidian Vault/ss19.md +++ b/content/Obsidian Vault/ss19.md @@ -1,6 +1,6 @@ --- Date: [[2021-11-15]] -Study: Mark 15; Matthew 27; Luke 23; John 18-19 +Study: "Mark 15; Matthew 27; Luke 23; John 18-19" --- Wow even the ones crucified with Christ reviled him. To choose your own time of death. Amazing. Did they really kill him, then? Or did he choose to die? Does only he have the authority to do so? Like, suicide is a sin because you are taking a decision away from God, right? So, can only Christ choose to die? Should a dying old man be allowed to choose to die? If Christ was the one to give up the ghost, why is it that they shouldn't be allowed to as well, if they spiritually feel like their work is done? Is there an essential difference between killing yourself, letting yourself be killed, and giving up the ghost? diff --git a/content/Obsidian Vault/ss20.md b/content/Obsidian Vault/ss20.md index d4a7bafe6..890a5b246 100644 --- a/content/Obsidian Vault/ss20.md +++ b/content/Obsidian Vault/ss20.md @@ -1,9 +1,6 @@ --- Date: [[2021-11-27]] -Study: -- BD: Ascension; Emmaus; Miracles; Resurrection -- Videos: Christ Appears on the Road to Emmaus (3:33); Feed My Sheep (5:45) -- Mark 16; Matt 28; Luke 24; John 20-21 +Study: "- BD: Ascension; Emmaus; Miracles; Resurrection - Videos: Christ Appears on the Road to Emmaus (3:33); Feed My Sheep (5:45)- Mark 16; Matt 28; Luke 24; John 20-21" --- Are all angels young? I imagine that they didn't mean a teenager, but that the angel appeared as a person at optimal health, which by my best guess is the early 20s. I say that because an angel probably wouldn't have any symptoms of aging, but would still be fully grown. A full hairline, not a single wrinkle, smooth and healthy skin, and all of that. They would look like a young man or woman. diff --git a/content/Obsidian Vault/ss21.md b/content/Obsidian Vault/ss21.md index 1bcfe2138..fef503781 100644 --- a/content/Obsidian Vault/ss21.md +++ b/content/Obsidian Vault/ss21.md @@ -1,8 +1,6 @@ --- Date: [[2021-11-27]] -Study: -- Videos: Peter and John Heal a Man Crippled Since Birth (3:22); Peter and John Continue Preaching the Gospel (5:38); Peter's Revelation to Take the Gospel to the Gentiles (9:03) -- Acts 1-5; 10, 12, 3 Nephi 11 +Study: "- Videos: Peter and John Heal a Man Crippled Since Birth (3:22); Peter and John Continue Preaching the Gospel (5:38); Peters Revelation to Take the Gospel to the Gentiles (9:03)- Acts 1-5; 10, 12, 3 Nephi 11" --- You got to wonder, if the Jews in Jerusalem had experienced a great disaster, and then seeing Christ coming down from heaven, they might have believed him. Maybe they're challenge was truly supposed to be harder, as far as actually believing in Jesus Christ. I hope they get another chance in the next life. Before they're judged finally. Of course, in the nephites case, they were only the people that were left after the wicked were destroyed. So, only people that would probably have believed in Jesus Christ remained. diff --git a/content/Obsidian Vault/ss22.md b/content/Obsidian Vault/ss22.md index 40d4aa6f6..4ec303b36 100644 --- a/content/Obsidian Vault/ss22.md +++ b/content/Obsidian Vault/ss22.md @@ -1,9 +1,6 @@ --- Date: [[2021-11-29]] -Study: -- BD: Paul -- Videos: The Road to Damascus (5:21); Unity of the Faith (3:32);I Have Kept the Faith (1:48) -- Acts 9; Acts 22; Romans 1, 5-6, 8; 2 Timothy 1-4 +Study: "- BD: Paul - Videos: The Road to Damascus (5:21); Unity of the Faith (3:32);I Have Kept the Faith (1:48)- Acts 9; Acts 22; Romans 1, 5-6, 8; 2 Timothy 1-4" --- Was there really some substance on saul's eyes?? Gross. Did saul personally know nicodemos? diff --git a/content/Obsidian Vault/systems of linear equations and matrices..md b/content/Obsidian Vault/systems of linear equations and matrices..md index 07fadde12..60f616bbd 100644 --- a/content/Obsidian Vault/systems of linear equations and matrices..md +++ b/content/Obsidian Vault/systems of linear equations and matrices..md @@ -1,5 +1,5 @@ --- -date: [[2022-05-02]] +day: [[2022-05-02]] tags: #linear_algebra cards-deck: default_obsidian --- diff --git a/content/Obsidian Vault/todo.md b/content/Obsidian Vault/todo.md index 5ed7a40bd..c7da9bbdf 100644 --- a/content/Obsidian Vault/todo.md +++ b/content/Obsidian Vault/todo.md @@ -1,3 +1,4 @@ +#todo - [ ] do econ hw - [ ] model healthcare data and stuff - [ ] find dataset for brasil