ian doitian

This query asks for a comparison between a list of vectors and a list of subspaces based on the concepts established in the sources, particularly regarding properties like span, linear independence, and basis.

Both lists of vectors and lists of subspaces are fundamental building blocks used to describe and structure a vector space $V$. They share analogies rooted in set theory, especially concerning how they generate or combine to form larger structures, but they differ fundamentally in the nature of their elements.

Here is a comparison based on the source material:

1. Fundamental Nature of Elements

Feature	List of Vectors ($v_1, \dots, v_m$)	List of Subspaces ($V_1, \dots, V_m$)

	#[derive(Debug, Clone)]
	enum ConnectionState {
	Disconnected,
	Connecting { attempts: u32 },
	Connected { session_id: String },
	Reconnecting { last_session: String },
	}

	enum FSMMessage {
	Connect,

-#!/bin/bash
-# Script to delete AWS Glacier archives with retry logic and resume functionality
-# Usage: ./delete-glacier-archives.sh [resume_archive_id]
-#
-# The script reads archive IDs from the provided file and deletes them one by one
-# If an archive deletion fails, it prints the error and retries
-# The script can resume from a specific archive ID if provided as an argument
-set -euo pipefail

	#!/bin/bash

	# Check if the current directory starts with /mnt/
	if pwd -P \| grep -q "^/mnt/"; then
	# Use git.exe for directories under /mnt/
	exec git.exe "$@"
	else
	# Use /usr/bin/git for other directories
	exec /usr/bin/git "$@"
	fi

	"use strict";

	var obsidian = require("obsidian");

	/******************************************************************************
	Copyright (c) Microsoft Corporation.

	Permission to use, copy, modify, and/or distribute this software for any
	purpose with or without fee is hereby granted.

	#!/bin/bash

	# Start Python REPL and setup rich
	# https://rich.readthedocs.io/en/latest/introduction.html#rich-in-the-repl

	""":"
	PYTHON=${PYTHON:-python}
	if command -v python3 &>/dev/null; then
	PYTHON=python3
	fi

	import base64
	from Crypto.Hash import SHA256
	from Crypto.PublicKey import ECC
	from Crypto.Signature import DSS
	from Crypto.Util.asn1 import DerSequence


	response = {
	"signature": "MEUCICF25qdO6nLreEoBHnyaw-9R6XFHbIu-NwsAI53t016qAiEAgmhlwTEMxoWx"
	"Kj79R1rUkB_6nrhJfws82DqHkY_HnqQ",

	{
	"openrpc": "1.0.0-rc1",
	"info": {
	"version": "1.0.0",
	"title": "Petstore",
	"license": {
	"name": "MIT"
	}
	},
	"servers": [

	{
	"[javascript]": {
	"editor.defaultFormatter": "vscode.typescript-language-features"
	},
	"[json]": {
	"editor.defaultFormatter": "vscode.json-language-features"
	},
	"[jsonc]": {
	"editor.defaultFormatter": "esbenp.prettier-vscode"
	},

	class Input {
	PromptModal = class extends customJS.obsidian.Modal {
	title = "Input";
	value = "";
	submitted = false;
	placeholder = "Type text here";

	constructor(opts = {}) {
	super(app);
	Object.assign(this, opts);