Compare commits
10 Commits
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master
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28
'
28
'
@@ -1,28 +0,0 @@
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from flask import Flask
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from app import build
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from pathlib import Path
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import markdown
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import os
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from dotenv import load_dotenv
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app = Flask(__name__)
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PRIVATE_VAULT_DIR = Path("/vault")
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PUBLIC_VAULT_DIR = "/content"
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build.obsidian_vault(PRIVATE_VAULT_DIR) # initialize the private obsidian repo
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build.public_vault(PRIVATE_VAULT_DIR, PUBLIC_VAULT_DIR) # initialize the public notes from the private repo
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@app.route("/")
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def index():
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md_content = "# Welcome to my blog!\nThis is rendered from **Markdown**.\n##[test](http://localhost/test)"
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html_content = markdown.markdown(md_content)
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return html_content
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@app.route("/api/vault-update") #webhook for vault updated
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def update_vault():
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# TODO SECURE THIS WITH SECRETTTTT or auth header
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print(build.public_vault(PRIVATE_VAULT_DIR, PUBLIC_VAULT_DIR))# initialize the public notes from the private repo
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return "vault-rebuilt"
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@app.route ("/<filename>") # renders a filename if not otherwise specified
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def render_post(filename):
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return build.html_file(filename, PUBLIC_VAULT_DIR)
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2
.gitignore
vendored
2
.gitignore
vendored
@@ -1,3 +1,5 @@
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app/__pychache__
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public-vault
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compose.yml
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content/
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public-vault/
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@@ -17,11 +17,12 @@ build.public_vault(PRIVATE_VAULT_DIR, PUBLIC_VAULT_DIR) # initialize the public
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def index():
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md_content = "# Welcome to my blog!\nThis is rendered from **Markdown**.\n##[test](http://localhost/test)"
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html_content = markdown.markdown(md_content)
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return html_content
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@app.route("/api/vault-update") #webhook for vault updated
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return build.html_file("index.md", PUBLIC_VAULT_DIR)
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@app.route("/api/vault-update", methods=['POST', 'GET']) #webhook for vault updated
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def update_vault():
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# TODO SECURE THIS WITH SECRETTTTT or auth header
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print(build.public_vault(PRIVATE_VAULT_DIR, PUBLIC_VAULT_DIR))# initialize the public notes from the private repo
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build.obsidian_vault(PRIVATE_VAULT_DIR) # initialize the private obsidian repo
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build.public_vault(PRIVATE_VAULT_DIR, PUBLIC_VAULT_DIR)# initialize the public notes from the private repo
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return "vault-rebuilt"
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@app.route ("/<filename>") # renders a filename if not otherwise specified
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def render_post(filename):
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@@ -45,6 +45,7 @@ def obsidian_vault(dest = "/vault"): # makes sure there is a vault in dest
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return 1
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def public_vault(privateVault = "/vault", dest = "/content"): # build the public vault in dest from an obsidian repo in src
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#TODO delete old documents
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vault = Vault(privateVault)
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if not(vault):
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print("could not find vault")
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19
compose.yml
19
compose.yml
@@ -1,13 +1,24 @@
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services:
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app:
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container_name: blog
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build:
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args:
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- DEBUG_MODE=1
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- obsidian_vault_url=https://git.riverrooks.dev/Personal-Wiki
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- obsidian_vault_token=bd8cd9301ae2c1c5bacfb3340492acb5e862686a
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ports:
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- '8188:80'
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- obsidian_vault_token=${VAULT_TOKEN}
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volumes:
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- ./content:/content #public
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- ./public-vault:/vault #private
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labels:
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- "traefik.enable=true"
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- "traefik.http.routers.blog.rule=Host(`riverrooks.dev`)"
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- "traefik.http.routers.blog.entrypoints=websecure"
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- "traefik.http.routers.blog.tls.certresolver=myresolver"
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- "traefik.http.services.blog.loadbalancer.server.port=80"
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- "traefik.docker.network=traefik"
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networks:
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- traefik
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networks:
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traefik:
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external: true
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171
content/AWK cheatsheet.md
Normal file
171
content/AWK cheatsheet.md
Normal file
@@ -0,0 +1,171 @@
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---
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tags:
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- AI
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- notes
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- coding-notes
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- docs
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- public
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---
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### 1. Basic Syntax
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The standard structure of an `awk` command:
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Bash
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```
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awk [options] 'BEGIN { initialization } pattern { action } END { finalization }' file
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```
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commands
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- **`BEGIN { ... }`**: Runs _once_ before the first line is read. Great for setting variables or printing headers.
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- **`pattern`**: A condition (regex or math) that must be met for the action to run.
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- **`{ action }`**: The command(s) executed on each line that matches the pattern.
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- **`END { ... }`**: Runs _once_ after the last line is processed. Great for printing totals or summaries.
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---
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||||
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### 2. Common Command-Line Flags
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|**Flag**|**Description**|**Example**|
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|---|---|---|
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|`-F`|Defines the field separator (default is space/tab)|`awk -F"," '{print $1}' file.csv`|
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|`-v`|Assigns an external variable to use inside AWK|`awk -v max=100 '$1 > max' file`|
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|`-f`|Reads AWK commands from a script file|`awk -f script.awk input.txt`|
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|`-i inplace`|Edits the file in place (requires GNU awk)|`gawk -i inplace '{print $1}' file`|
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---
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### 3. Built-in Variables
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|**Variable**|**Meaning**|**Example Use Case**|
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|---|---|---|
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|`$0`|The entire current line|`print $0`|
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|`$1, $n`|The 1st, 2nd... _n_th field (column)|`print $2, $4`|
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|`NR`|Number of Records (Current line number)|`NR > 1` (Skip headers)|
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|`NF`|Number of Fields (Total columns in current line)|`print $NF` (Print the last column)|
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|`FS`|Input Field Separator (Same as `-F`)|`BEGIN { FS=":" }`|
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|`OFS`|Output Field Separator|`BEGIN { OFS="," }`|
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|`RS`|Input Record Separator (Default: newline)|`BEGIN { RS="" }` (Paragraph mode)|
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|`ORS`|Output Record Separator (Default: newline)|`BEGIN { ORS="\n\n" }` (Double space)|
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||||
|
||||
---
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||||
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||||
### 4. Operators & Conditionals
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**Relational & Logical Operators:**
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- `==`, `!=`, `<`, `>`, `<=`, `>=` (Standard math comparisons)
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||||
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||||
- `~` (Matches regular expression)
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||||
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- `!~` (Does not match regular expression)
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||||
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||||
- `&&` (AND), `||` (OR), `!` (NOT)
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||||
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||||
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||||
**Control Structures (used inside action blocks):**
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||||
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||||
```
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||||
# If/Else Statement
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{ if ($1 > 50) print "Pass"; else print "Fail" }
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# For Loop
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{ for (i=1; i<=NF; i++) print $i }
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# While Loop
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{ i=1; while (i<=NF) { print $i; i++ } }
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||||
```
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||||
|
||||
---
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||||
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||||
### 5. Essential Built-in Functions
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||||
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|**Function**|**Description**|**Example**|
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||||
|---|---|---|
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||||
|`length(str)`|Returns the length of a string|`length($0) > 80`|
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|`tolower(str)`|Converts string to lowercase|`print tolower($1)`|
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|`toupper(str)`|Converts string to uppercase|`print toupper($1)`|
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|`substr(s,p,l)`|Extracts substring from _s_ starting at _p_ with length _l_|`print substr($1, 1, 3)`|
|
||||
|`gsub(r,s,t)`|Globally replaces regex _r_ with string _s_ in target _t_|`gsub(/apple/, "orange", $0)`|
|
||||
|
||||
---
|
||||
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||||
### 6. Handy Everyday One-Liners
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||||
**Printing & Filtering:**
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||||
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||||
- **Print the last column of every line:**
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||||
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||||
Bash
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||||
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||||
```
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awk '{ print $NF }' file.txt
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```
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||||
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||||
- **Print lines longer than 80 characters:**
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||||
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||||
Bash
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||||
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||||
```
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||||
awk 'length($0) > 80' file.txt
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||||
```
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||||
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||||
- **Print lines matching "Error" or "Warning":**
|
||||
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||||
Bash
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||||
|
||||
```
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||||
awk '/Error|Warning/' file.log
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||||
```
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||||
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||||
|
||||
**Math & Summaries:**
|
||||
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||||
- **Sum the values in the first column:**
|
||||
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||||
Bash
|
||||
|
||||
```
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||||
awk '{ sum += $1 } END { print sum }' numbers.txt
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||||
```
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||||
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||||
- **Calculate the average of the first column:**
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||||
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Bash
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||||
|
||||
```
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||||
awk '{ sum += $1 } END { print sum / NR }' numbers.txt
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||||
```
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||||
|
||||
- **Count the number of empty lines:**
|
||||
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||||
Bash
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||||
|
||||
```
|
||||
awk '/^$/ { count++ } END { print count }' file.txt
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||||
```
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||||
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||||
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||||
**Text Manipulation:**
|
||||
|
||||
- **Remove duplicate consecutive lines (simulates `uniq`):**
|
||||
|
||||
Bash
|
||||
|
||||
```
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||||
awk 'a != $0; { a = $0 }' file.txt
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||||
```
|
||||
|
||||
- **Number each line (simulates `cat -n`):**
|
||||
|
||||
Bash
|
||||
|
||||
```
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||||
awk '{ print NR, $0 }' file.txt
|
||||
```
|
||||
|
||||
|
||||
---
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||||
42
content/C++.md
Normal file
42
content/C++.md
Normal file
@@ -0,0 +1,42 @@
|
||||
---
|
||||
tags:
|
||||
- code
|
||||
- notes
|
||||
- docs
|
||||
- School
|
||||
- coding-notes
|
||||
- CS-101
|
||||
- public
|
||||
---
|
||||
# overview
|
||||
OOP language
|
||||
C code runs *almost* unchanged from C
|
||||
```embed
|
||||
title: "cplusplus.com"
|
||||
image: "https://cplusplus.com/favicon.ico"
|
||||
description: ""
|
||||
url: "https://cplusplus.com/"
|
||||
favicon: ""
|
||||
```
|
||||
```embed
|
||||
title: "W3Schools.com"
|
||||
image: "https://www.w3schools.com/images/w3schools_logo_436_2.png"
|
||||
description: "W3Schools offers free online tutorials, references and exercises in all the major languages of the web. Covering popular subjects like HTML, CSS, JavaScript, Python, SQL, Java, and many, many more."
|
||||
url: "https://www.w3schools.com/cpp/cpp_intro.asp"
|
||||
favicon: ""
|
||||
aspectRatio: "52.293577981651374"
|
||||
```
|
||||
|
||||
```cpp
|
||||
#include <iostream>
|
||||
#include <stdexcept
|
||||
|
||||
template <typename T>
|
||||
class Vector{
|
||||
private:
|
||||
T* data:
|
||||
size_t sz;
|
||||
size_t cap;
|
||||
}
|
||||
```
|
||||
$\approx$
|
||||
15
content/Capture The Flag.md
Normal file
15
content/Capture The Flag.md
Normal file
@@ -0,0 +1,15 @@
|
||||
#public
|
||||
|
||||
all non-osint CTF challenges can be solved through recursive steps until a flag is found
|
||||
# 1. Explore
|
||||
Analyze any data in plain text for a flag, or for the next command to run such as the results of a program.
|
||||
>`cat problem.txt`
|
||||
> `xxd -d asdasd238uasdkh`
|
||||
> `curl challenge.org/asd`
|
||||
|
||||
Either solve the challenge with the flag, or determine the next program to execute
|
||||
# 2 replicate
|
||||
Build an isolated environment to replicate only the next program, and solve that step locally
|
||||
# 3 Inject
|
||||
Inject the payload that works on in the isolated environment
|
||||
repeat Step 1
|
||||
@@ -1,7 +1,7 @@
|
||||
#public
|
||||
- **Cyber Crime**: Use computer/digital device to further illegal ends
|
||||
> "nothings black and white in what we do, everything's got some gray"
|
||||
## Types of crime
|
||||
# Types of crime
|
||||
- **Crimes Against People**: A digital crime where the victim is a person
|
||||
- **Crimes Against Property**: A digital crime that damages, or illegally interacts with property
|
||||
- **Crimes Against Government**: A digital crime to undermine the efficacy of a government
|
||||
@@ -41,7 +41,7 @@ Nation-state attacks on power grids before Wars
|
||||
- **Sneaker Net**: Moving information across barriers physicality
|
||||
> proving an attack is one of the hardest questions to answer
|
||||
# U.S. National cyber strategy
|
||||
- **U.S. National cyber strategy**: anually updated policy document from the white house detailing the national cyber objectives
|
||||
- **U.S. National cyber strategy**: annually updated policy document from the white house detailing the national cyber objectives
|
||||
|
||||
> it has been similar last few years
|
||||
|
||||
@@ -55,13 +55,14 @@ Nation-state attacks on power grids before Wars
|
||||
- Shaping adversary behavior
|
||||
- regulatory environment
|
||||
- Federal government security
|
||||
- criticial infrastructure security
|
||||
- critical infrastructure security
|
||||
- cyber skills workforce gap
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
> How can you deter people outside of your country and laws? [[attack back]]
|
||||
> number of cyber jobs in US is increasing faster than the rate of new PHD grads
|
||||
|
||||
# Identity Theft
|
||||
- **Identity Theft**: Unlawful use of another's [Personally Identifiable Information][Definitiona/Personally Identifiable Information]
|
||||
|
||||
|
||||
|
||||
|
||||
8
content/Discord ICS.md
Normal file
8
content/Discord ICS.md
Normal file
@@ -0,0 +1,8 @@
|
||||
People submit week-at-a-galnce screenshots, or some form of their calendar.
|
||||
Turn that into an ICS
|
||||
Plugin discord bot that recognizes
|
||||
>/schedule @p1 @p2
|
||||
|
||||
And finds available times to select. Then sends dm to users, emails them, and optional creates discord event
|
||||
|
||||
#public
|
||||
45
content/Formulas.md
Normal file
45
content/Formulas.md
Normal file
@@ -0,0 +1,45 @@
|
||||
#public
|
||||
# Work and energy
|
||||
| Formula | equation | Usage |
|
||||
| -------------------------------------- | ----------------------------------------------- | ----------------------------------- |
|
||||
| Gravitational Potential Energy ($U_g$) | $U_g=mgh$ | Changes in height |
|
||||
| Kinetic Energy | $K=\frac{1}{2}mv^2$ | Energy of motion |
|
||||
| Work-Energy Theorem | $\Delta E_{mec} = \Delta K+\Delta U=W_{other}*$ | calculating the effects of friction |
|
||||
|
||||
|
||||
| Variable | Symbol | SI Unit | Notes |
|
||||
| --- | --- | --- | --- |
|
||||
| Mass | m | kg | Convert from grams (g) if necessary. |
|
||||
| Height / Distance | h,d | m | Measures vertical or horizontal displacement. |
|
||||
| Velocity / Speed | v | m/s | Convert from km/h by dividing by 3.6.+3 |
|
||||
| Gravity | g | m/s2 | Earth's standard is approximately 9.8 m/s2. |
|
||||
| Energy / Work | $U_g$,K,W | J | 1 Joule = 1 kg⋅m2/s2. |
|
||||
|
||||
# Center Of Mass (CM)
|
||||
| Formula | equation | Usage |
|
||||
| -------------------------------------- | ----------------------------------------------- | ----------------------------------- |
|
||||
| Position of COM X| $x_{com}=\frac{1}{M}\sum_{i=1}^{n}M_ix_i$ | find COM X|
|
||||
| Position of COM Y| $y_{com}=\frac{1}{M}\sum_{i=1}^{n}M_iy_i$ | find COM Y|
|
||||
| velocity of COM | $v_{com}=\frac{\sum m_iv_i}{M}$ | find the Velocity of COM |
|
||||
|
||||
| Variable | Symbol | SI Unit | Notes |
|
||||
| --- | --- | --- | --- |
|
||||
| Position (X or Y) | $x_{com},y_{com}$ | m | Coordinates on the Cartesian plane.+ 1|
|
||||
| Total Mass | M | kg | The sum of all individual masses (m1+m2+…) |
|
||||
| Velocity of CM | vcom | m/s | The speed at which the entire system's balance point moves |
|
||||
# Linear Momentum and impulse
|
||||
| Formula | equation | Usage |
|
||||
| -------------------------------------- | ----------------------------------------------- | ----------------------------------- |
|
||||
| Linear Momentum | p = mv | find linear momentum |
|
||||
| Impulse | $J=\Delta p=F_{avg}\Delta t=\int F(t)dt$ | change in momentum. Also area under Force-time graph |
|
||||
| Conservation Law | $P_{initial}=P_{final}$ | if net external force is 0, totoal momentum is constant |
|
||||
| Elastic Collisions (1D) | $v_{1f}=(\frac{m_1-m_2}{m_1+m_2})v_i+(\frac{2m_2}{m_1+m_2})v_2i$| momentum and kinetic energy are conserved |
|
||||
| completely inelastic collisions | $m_1v_{1i}+m_2v_{2i}=(m_1+m_2)v_f$ | find situation where the objects stick together |
|
||||
|
||||
|
||||
| Variable | Symbol | SI Unit | Notes |
|
||||
| --- | --- | --- | --- |
|
||||
| Momentum | p | kg⋅m/s | Calculated as mass × velocity. |
|
||||
| Impulse | J | N⋅s | Also equivalent to kg⋅m/ s.|
|
||||
| Force | F | N | 1 Newton = 1 kg⋅m/s2.+2 |
|
||||
| Time | t,$\Delta$t | s | The duration of the force application.+1|
|
||||
79
content/Homework.md
Normal file
79
content/Homework.md
Normal file
@@ -0,0 +1,79 @@
|
||||
#public
|
||||
# Homework
|
||||
|
||||
Questions (P7.)
|
||||
1. a
|
||||
1. A. True
|
||||
2. B. Order does not matter in sets
|
||||
2. MISSISSIPPI
|
||||
3.
|
||||
1. $\subseteq$
|
||||
2. $\in$
|
||||
3. $\subseteq$
|
||||
4. $\in$
|
||||
5. $\in$ x wrong $\emptyset$ is a $\subseteq$ of all sets
|
||||
6. $\subseteq$
|
||||
4. 9.
|
||||
1. a) $\{S_4, S_5, S_9\}$
|
||||
2. b) **??**
|
||||
3. c) quadrillion
|
||||
4. d)
|
||||
1. F
|
||||
2. T (if order does not matter)
|
||||
3. T
|
||||
4. F
|
||||
5. T
|
||||
6. T
|
||||
7. F
|
||||
8. F
|
||||
9. F
|
||||
10. T
|
||||
11. F
|
||||
12. F
|
||||
13. T
|
||||
14. F
|
||||
15. T
|
||||
16. T
|
||||
5. 10.
|
||||
1. $D_1=\{1\}, D_2=\{1,2\}, D_{10}=\{1,2,5\}$
|
||||
2. b)
|
||||
1. T
|
||||
2. F
|
||||
3. T
|
||||
4. T
|
||||
5. T?
|
||||
6. F
|
||||
7. T
|
||||
8. F
|
||||
9. F
|
||||
10. F
|
||||
11. F
|
||||
12. T
|
||||
3. c) $|D_{10}|=3$, $|D_{19}|=2$
|
||||
4. D) $|\mathcal{D}|=9$
|
||||
|
||||
|
||||
| Questions | Answer |
|
||||
| --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ------------------------------------------- |
|
||||
| 1. <br> 1. (a) True or false? {red, white, blue} = {white, blue, red}. <br> 2. (b) What is wrong with this statement: Red is the first element of the set {red, white, blue}? | a. True<br>b. Order does not matter in sets |
|
||||
| 2. Which has the larger cardinality? The set of letters in the word MISSISSIPPI or the set of letters in the word FLORIDA ? | MISSIPPI |
|
||||
| 3. Fill in the blank with the appropriate symbol, ∈ or ⊆. <br> 1. (a) {1, 2, 3} {1, 2, 3, 4} <br> 2. (b) 3 {1, 2, 3, 4} <br> 3. (c) {3} {1, 2, 3, 4} <br> 4. (d) {𝑎} {{𝑎}, {𝑏}, {𝑎, 𝑏}} <br> 5. (e) ∅ {{𝑎}, {𝑏}, {𝑎, 𝑏}} <br> 6. (f) {{𝑎}, {𝑏}} {{𝑎}, {𝑏}, {𝑎, 𝑏}} | |
|
||||
| 9. Let 𝑆1 = {𝑜, 𝑛, 𝑒}, 𝑆2 = {𝑡, 𝑤, 𝑜}, 𝑆3 = {𝑡, ℎ, 𝑟, 𝑒, 𝑒}, and so on. <br> 1. (a) Find all 𝑘 ∈ {1, 2, . . . , 10} with \|𝑆𝑘\| = 4. <br> 2. (b) Find distinct indices 𝑗, 𝑘 ∈ ℕ with 𝑆𝑗 = 𝑆𝑘. <br> 3. (c) Find the smallest value of 𝑘 ∈ ℕ with 𝑎 ∈ 𝑆𝑘. <br> 4. (d) Let 𝒮 = {𝑆𝑘}40 𝑘=1. Determine whether the following statements are true or false. <br> 1. (i) 𝑆13 = {𝑛, 𝑒, 𝑖, 𝑡, ℎ, 𝑒, 𝑟} <br> 2. (ii) {𝑛, 𝑒, 𝑡} ⊆ 𝑆20 <br> 3. (iii) 𝑆1 ∈ 𝒮 <br> 4. (iv) 𝑆3 ⊆ 𝒮 <br> 5. (v) ∅ ∈ 𝒮 <br> 6. (vi) ∅ ⊂ 𝒮 <br> 7. (vii) ∅ ⊆ 𝒮 <br> 8. (viii) 𝑆1 ⊆ 𝑆11 <br> 9. (ix) 𝑆1 ⊆ 𝑆21 <br> 10. (x) 𝑆1 ⊂ 𝑆21<br> 11. (xi) {𝑛, 𝑖, 𝑒} ∈ 𝒮 <br> 12. (xii) {{𝑓, 𝑜, 𝑢, 𝑟}} ⊆ 𝒮 <br> 13. (xiii) 𝑢 ∈ 𝑆40 <br> 14. (xiv) 𝒫(𝑆9) ⊆ 𝒫(𝑆19) <br> 15. (xv) {𝑠, 𝑖} ∈ 𝒫(𝑆6) <br> 16. (xvi) 𝑤 ∈ 𝒫(𝑆2) | |
|
||||
| 10. For 𝑘 ∈ {1, 2, . . . , 20}, let 𝐷𝑘 = {𝑥 ∣ 𝑥 is a prime number which divides 𝑘} and let 𝒟 = {𝐷𝑘 ∣ 𝑘 ∈ {1, 2, . . . , 20}}.<br> 1. (a) Find 𝐷1, 𝐷2, 𝐷10, and 𝐷20. <br> 2. (b) True or False: <br> 1. (i) 𝐷2 ⊂ 𝐷10 <br> 2. (ii) 𝐷7 ⊆ 𝐷10 <br> 3. (iii) 𝐷10 ⊂ 𝐷20 <br> 4. (iv) ∅ ∈ 𝒟 <br> 5. (v) ∅ ⊂ 𝒟 <br> 6. (vi) 5 ∈ 𝒟 <br> 7. (vii) {5} ∈ 𝒟 <br> 8. (viii) {4, 5} ∈ 𝒟 <br> 9. (ix) {{3}} ⊆ 𝒟 <br> 10. (x) 𝒫(𝐷9) ⊆ 𝒫(𝐷6) <br> 11. (xi) 𝒫({3, 4}) ⊆ 𝒟 <br> 12. (xii) {2, 3} ∈ 𝒫(𝐷12) <br> 3. (c) Find \|𝐷10\| and \|𝐷19\|. <br> 4. (d) Find \|𝒟\| | |
|
||||
# Unit 1
|
||||
## Krish Hw 2
|
||||
1. A = {1, 2, 3}, B = {2, 3, 4} and C = {1, 2, 4}. List the elements of the specified set
|
||||
1. (a) A ∩ B; | {2,3}
|
||||
2. (b) A ∪ B; | {1,2,3,4}
|
||||
3. (c) C\A; | {1}
|
||||
4. (d) A ∪ (B ∩ C); | {2,1,3}
|
||||
5. (e) (A ∩ C) ∪ (B ∩ C); | {1,2,4}
|
||||
6. (f) A × B; | {(1,2),(1,3),(1,4),(2,3),(2,2),(2,4),(3,2),(3,3),(3,4)}
|
||||
7. (g) B × A; | {(2,1),(2,2),(2,3),(3,1),(3,2),(3,3),(4,1),(4,2) ,(4,3)}
|
||||
8. (h) (A × B) ∩ (B × A). | {(2,2),(3,3)}
|
||||
2. $M_2$ = {2, 4, 6, 8, 10, · · · } and $M_3$ = {3, 6, 9, 12, 15, · · · }. Find:
|
||||
1. (a) $M_2$ ∩ $M_3$;
|
||||
1. $M_6$
|
||||
2. (b) $M_3 \backslash M_2$
|
||||
1. $\{x|x=6k-3 \space\forall\space k \in\mathbb{N}\}$
|
||||
|
||||
9
content/Index.md
Normal file
9
content/Index.md
Normal file
@@ -0,0 +1,9 @@
|
||||
---
|
||||
tags:
|
||||
- public
|
||||
---
|
||||
# River Rooks.dev
|
||||
## Home for all of my creations ... eventually
|
||||
# Check out my notes
|
||||
|
||||
# See [my git server](https://git.riverrooks.dev/venus) for all of my projects and dotfiles
|
||||
57
content/Malware and cybersecurity.md
Normal file
57
content/Malware and cybersecurity.md
Normal file
@@ -0,0 +1,57 @@
|
||||
#public
|
||||
## Malware
|
||||
Malicious software:
|
||||
> Software written to Do [[Harm]]
|
||||
## Harm
|
||||
- Devices
|
||||
- Data
|
||||
- Alter
|
||||
- Modify
|
||||
- Delete
|
||||
- Corruption
|
||||
# Limit Access To Information
|
||||
## Privacy
|
||||
Limit the amount you permit to be shared
|
||||
### Healthcare
|
||||
I don't want public access to my info
|
||||
Choose certain info to release or not
|
||||
A trip to a crisis center is private
|
||||
### Personally Identifiable Information (PII)
|
||||
- Info that points Directly to you
|
||||
- Protect as Cyber Prof.
|
||||
|
||||
## CIA Triad
|
||||
### Confidentiality
|
||||
Keep data hidden from those who should not access it
|
||||
- Encryption
|
||||
- People who can see it, can't understand if there not supposed to
|
||||
- Hiding Existence
|
||||
Not the same as [[Malware and cybersecurity#Privacy|Privacy]]
|
||||
**Keep those who don't have access from having access**
|
||||
### Integrity
|
||||
Ensuring that Data and System Resources are trustworthy.
|
||||
Eliminate unauthorized tampering
|
||||
Eliminate accidental or malicious modifications.
|
||||
Examples:
|
||||
Financial Records
|
||||
Medical Records
|
||||
Can be more important than Confidentiality.
|
||||
Banking must be accurate, may be public
|
||||
#### 3 Categories of integrity
|
||||
##### Data Integrity
|
||||
Ensuring that the data is trustworthy
|
||||
##### Origin Integrity
|
||||
Understanding the author and verifying the source
|
||||
The author created data and it has not been changed
|
||||
##### System Integrity
|
||||
Securing the processes that modify the data
|
||||
Eliminate Accidental, deliberate, or malicious modifications of data through systems controlling that data
|
||||
### Availability
|
||||
Dealing with systems and data being available for use when needed
|
||||
|
||||
## Secrecy
|
||||
Information that should not be disclosed outside of an in-group
|
||||
`Maximum Secrecy = Minimun Availability`
|
||||
|
||||
|
||||
|
||||
@@ -9,13 +9,27 @@ flowchart TD
|
||||
```
|
||||
> Greatest Vulnerability is People
|
||||
## Malware types
|
||||
- **virus:** program to modify other programs
|
||||
- **Worm**: program that spreads itself
|
||||
> diff b/t virus and worm is method of movement
|
||||
- **Trojan**: an innocent program that hides malware inside
|
||||
- **Ransomware**: require payment to remove (often in exchange for decryption key)
|
||||
- **Phishing**: Faking identity in order to build trust to encourage specific user behavior
|
||||
- **DOS/DDOS**: (distributed) denial of service to overwhelm services and prevent legitimate activity from getting through
|
||||
## Virus
|
||||
- **Virus:** program to modify other programs
|
||||
### Trojan
|
||||
- **Trojan**: an innocent program that hides malware inside
|
||||
looks benign and can be anything from a bad link to a malicious PDF file.
|
||||
Can contain any kind of other malware such as
|
||||
- key loggers
|
||||
- webcams
|
||||
### Examples
|
||||
#### I love you
|
||||
[wiki](https://en.wikipedia.org/wiki/ILOVEYOU)
|
||||
- $10 billion in damages,
|
||||
- 10% of worldwide competition
|
||||
- attacked other computers after spreading
|
||||
> at it's height, a third of the worlds computers were infected
|
||||
|
||||
|
||||
# Threat Actors
|
||||
| Group | Motivations |
|
||||
|
||||
157
content/Unit 1 Sets and Logic.md
Normal file
157
content/Unit 1 Sets and Logic.md
Normal file
@@ -0,0 +1,157 @@
|
||||
---
|
||||
tags:
|
||||
- Math-301
|
||||
- Math
|
||||
- School
|
||||
- notes
|
||||
- Spring-25
|
||||
- public
|
||||
Slides: "[[Wed 1-7.pdf]]"
|
||||
Topic: Sets and Logic
|
||||
Unit: 1.1 - 1.6
|
||||
---
|
||||
# 1.1 Basic definitions
|
||||
A set is a collection of objects. The objects in a set are called its elements or members.
|
||||
> Let A={a,b,c}.
|
||||
> $a\in A$ -- means *a* is an element of *A*
|
||||
> $d \notin A$ -- means *d* is not an element of *A*
|
||||
|
||||
**Def**. the [[Cardinality]] of a finite set `S`, demoted `|S|`. is the number of elements in `S`.
|
||||
In the example, `|A| = 3`.
|
||||
|
||||
### Notation for some sets of numbers
|
||||
> Natural numbers: $\mathbb{N}$ = {1,2,3,...}
|
||||
> Whole Numbers: $\mathbb{W}$ = {0,1,2,3,...}
|
||||
> The set of integers: $\mathbb{Z}$ = {...-3,-2,-1,0,1,2,3,} = {0,1,-1,2,-2,3,-3...}
|
||||
> Rational Numbers: $\mathbb{Q}$ = $\{\frac{a}{b}\vert a,b\in\mathbb{Z},b\neq0\}$
|
||||
> Set of real numbers: $\mathbb{R}$
|
||||
---
|
||||
## 2 subsets
|
||||
|
||||
- Let *A* and *B* be sets. We say that *B* is a [[subset]] of *A*, if every element of *B* is also an element of *A*, denoted $B\subseteq A$
|
||||
- Two sets are [[equal]], denoted $A = B$, if $A\subseteq B$ and $B\subseteq A$
|
||||
>Ex. Let *A* = $\{x\vert x\in\mathbb{Z}\hspace{7px}and\hspace{7px}0\lt x\lt6\}$.
|
||||
>We see that $A=\{1,2,3,4,5\}$.
|
||||
>Note: $1\in A, 4\in A$, but $6\notin A$.
|
||||
>$\{1,3,5\}\subseteq A,\{2\}\subseteq A$, but $\{2\}\notin A$
|
||||
>{2,4,6}$\subsetneq A$ since $6 \notin A$
|
||||
>|A| = 5.
|
||||
>Ex. $\mathbb{N}\subseteq \mathbb{W} \subseteq \mathbb{Z} \subseteq \mathbb{Q} \subseteq \mathbb{R}$
|
||||
|
||||
[[Proper subset]]: $B\subset A$ if $B\subseteq A$ and $B\neq A$
|
||||
|
||||
### Intervals of $\mathbb{R}$
|
||||
> (a,b) = {x$\in \mathbb{R}$ | a < x < b}, where $-\infty\le a \le b \le\infty$
|
||||
> \[a,b] = {x$\in \mathbb{R}$ | a $\le$ x $\le$ b}, where $-\infty\lt a \le b \lt\infty$
|
||||
> \[a,b) = \{x$\in \mathbb{R}$ | a $\le$ x < b}, where $-\infty\lt a \lt b \le\infty$
|
||||
> \(a,b] = \{x$\in \mathbb{R}$ | a $\lt$ x $\le$ b}, where $-\infty\le a \lt b \lt\infty$
|
||||
|
||||
## 3. Collections of Sets
|
||||
The elements of a set may themselves be sets, and so is is a collections of sets
|
||||
> Ex. $\mathcal{C}$ = { {1}, {1, 2}, {1, 2, 3} }. Note that
|
||||
> {1} $\in \mathcal{C}$, {1,2} $\notin\mathcal{C}$, {1,2,3} $\in\mathcal{C}$ **??**
|
||||
> {1} $\subsetneq\mathcal{C}$ since $1\notin\mathcal{C}$
|
||||
> {{1}, {1,2}} $\subseteq\mathcal{C}$
|
||||
> {{1}, {1,2}} $\notin\mathcal{C}$.
|
||||
|
||||
### Indexed Collection of Sets
|
||||
Let `I` be a set. Suppose $S_i$ is a set for each `i` $\in$ `I`.
|
||||
Then we say that $\{S_i\}_{i\in I}$ = $\{S_i|i\in I\}$ Is called a [[collection of sets indexed]] by `I`.
|
||||
> Ex. Let $S_n$ = (n-1, n) for each $n\in\mathbb{N}$. Then
|
||||
> $\{S_n\}_{n=1}^{3}$ = {$S_1,S_2,S_3$} = $\{(0,1), (1,2), (2,3)\}$
|
||||
> $\{S_n\}_{n\in\mathbb{N}}$ = $\{(0,1), (1,2), (2,3),...\}$
|
||||
|
||||
## 4. The Empty Set
|
||||
Let `E` be a set with no elements. Then for any Set `A`, we have `E`$\subseteq$`A` [[(Vacuously True)]].
|
||||
If `E'` is another set with no elements, then `E`$\subseteq$`E'` `E'`$\subseteq$`E`
|
||||
So `E`=`E'` Therefore, there is a unique set with no elements. We call it the [[empty set]], denoted by $\emptyset$ = {}.
|
||||
**Property: For every set `A`, $\emptyset\subseteq$`A`.**
|
||||
|
||||
## 5. The Power Set of a Set
|
||||
the [[power set]] of a set `S` is the collection of all subsets of `S` and is denoted $\wp(S)$.
|
||||
> $\wp(S) = \{A | A \subseteq S\}$.
|
||||
|
||||
>Ex. Let $A$ = $\{a,b,c\}$. Then
|
||||
>$\wp(A)\{\emptyset\,\{a\},\{b\},\{c\},\{a,b\},\{a,c\},\{b,c\},\{a,b,c\}\}$
|
||||
>Note: |$\wp(A)$ = 8 = $2^3$ = $2^{|A|}$.
|
||||
|
||||
## 6. Summarizing example
|
||||
Consider the set:
|
||||
> $S = \{1,2,\emptyset,\{a,b\}\}$. Then
|
||||
> $2\in S, 2\subsetneq S$
|
||||
> ${2}\notin S, 2\subseteq S$
|
||||
> > $\emptyset, 2\subsetneq S$
|
||||
|
||||
|
||||
# 1.2 Set Operations
|
||||
## 1 Intersections and Unions
|
||||
>Let `A` and `B` be sets. The [[Intersection]] of `A` and `B` is the set.
|
||||
>$A\cap B$ {X | x $\in$ A and x $\in$ B}
|
||||
>![[Pasted image 20260114205835.png]]
|
||||
|
||||
The [[Union]] of `A` and `B` is the set
|
||||
> $A \cup B$ = {x | $\in$ a A or x $\in$ B } ## "Or" is the "Inclusive or"
|
||||
> ![[Pasted image 20260114210548.png]]
|
||||
|
||||
> Ex. Let `A`={0,2,4,6,8}, `B`={0,3,6,9}, and C={1,2,3,4,5,6,8,9}. Then
|
||||
> (a) $A\cap B$ = {0,6}
|
||||
> (b) $A\cup B = \{0,2,4,6,8,3,9\}=\{0,2,3,4,6,8,9\}$
|
||||
> (c) $B\cap C$ = {3}
|
||||
> (d) $A\cup(B\cap C) = \{0,2,3,4,6,8\}$
|
||||
> (e) $(A\cup B)\cap C = \{2,3,4\}$
|
||||
> Note: $A\cup(B\cap C)\neq(A\cup B)\cap C$
|
||||
|
||||
**Def. We say that two sets A and B and [[disjoint]] if $A\cap B=\emptyset$**
|
||||
![[Pasted image 20260115174934.png]]
|
||||
> **Theorem. Let `A` and `B` be finite sets.**
|
||||
> (a) $|A\cup B|=|A|+|B|-|A\cup B|$
|
||||
> ![[Pasted image 20260115175142.png]]
|
||||
> (b) if `A` and `B` and disjoint then $|A\cup B| = |A| + |B|$
|
||||
> ![[Pasted image 20260115175132.png]]
|
||||
> (c) If $A\subseteq B, then |A|\leq|B|$
|
||||
## 2 Arbitrary Collections
|
||||
Let $\mathcal{C}=\{S_i|i\in I\}$ be a collection of sets indexed by a set `I` (Assume $I\neq0$.) Then the [[Intersection]] of $\mathcal{C}$ is defined as
|
||||
> $\cap\mathcal{C}=\cap_{i\in I} S_i=\{x|x\in S_i$ for all $i\in I\}$.
|
||||
|
||||
The [[Union]] of the collection $\mathcal{C}$ is the set
|
||||
>$\cup\mathcal{C}=$ $\cup_{i\in I}S_i=\{x|x\in S_i$ for at least one $i\in I\}$
|
||||
|
||||
For a finite collection of sets indeed by $I=\{1,2 ... , n\}$
|
||||
we often write the intersection and unions of $\mathcal{C}=\{S_1,S_2, ... ,S_n\}$ as
|
||||
> $\cap_{i=1}^n S_i = S_1\cap S_2\cap S_3\cap ... \cap S_n$
|
||||
> $\cup_{i\in I}^n S_i=S_1\cup S_2\cup ... \cup S_n$
|
||||
|
||||
Def. Let $\{\S_i|i\in I\}$ be an indexed collection of sets.
|
||||
> (a) The collection is [[Mutually disjoint]] if for all $i,j\in I$, if $S_i\neq S_j, then S_I =\cap S_j\space\emptyset$
|
||||
> Equivalently: for all $i,j\in I$, $S_i=S_j\space or\space S_i\cap S_j=\emptyset$
|
||||
> (b) The collection is [[nested]] if for all $i,j\in I$, $S_i\subseteq S_j$ or $S_j\subseteq S_i$
|
||||
|
||||
|
||||
|
||||
$S=\{x\in\mathbb{W}|x\notin M_{5}, x\in M_3\}$
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
---
|
||||
> $B_n$ = $\{x\in\mathbb{R}\space\vert\space |x| < n\}$
|
||||
|
||||
$B_1$ = (-1,1)
|
||||
$B_2$ = (-2,2)
|
||||
$B_3$ =(-3, 3)
|
||||
|
||||
|
||||
> [!note] incluse vs exclusion
|
||||
$[-1,1]\neq (-1,1)$ where $n=\mathbb{R}$
|
||||
let $A$ = $(-1,1)$
|
||||
let $B$ = $[-1,1]$
|
||||
$A\subseteq B$
|
||||
$A\neq B$
|
||||
|
||||
| Q | P | A |
|
||||
| ------------------ | ---------------------- | ------------------ |
|
||||
| Mutually disjoint? | $B_n\subseteq B_{n+1}$ | False |
|
||||
| Nested?<br> | $B_n\subseteq B_{n+1}$ | True |
|
||||
| Intersect | $B\cap B_n$ | $B_1$ |
|
||||
| Union<br> | $B\cup B_n$ | $(-\infty,\infty)$ |
|
||||
3
content/odo-test.md
Normal file
3
content/odo-test.md
Normal file
@@ -0,0 +1,3 @@
|
||||
#public
|
||||
this is a doc
|
||||
# Md rendered to html
|
||||
@@ -1,11 +0,0 @@
|
||||
---
|
||||
public: "true"
|
||||
tags:
|
||||
- public
|
||||
---
|
||||
# This is a test
|
||||
and this is p
|
||||
[https://localhost/test]()
|
||||
[asd](https://localhost/test)
|
||||
|
||||
|
||||
Reference in New Issue
Block a user