Julia011.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "824fb573-9c1d-4b72-b328-91caf6498cd2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×3 Matrix{Float64}:\n",
       " 2.3091e-314  2.3091e-314  2.29883e-314\n",
       " 2.3091e-314  2.3091e-314  5.0e-324"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = Array{Float64}(undef,2,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0e79d7e0-19dd-4f4a-9a90-65ee44ba87d9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×3 Matrix{Int64}:\n",
       " 4817513936  4687497168      0\n",
       " 4445859952           0  29667"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m = Matrix{Int}(undef,2,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8a5bdaff-d3d7-40d9-981c-a77c9c561e3f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×3×4×5×6 Array{Float64, 5}:\n",
       "[:, :, 1, 1, 1] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 1] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 1] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 1] =\n",
       " 0.0           6.9301e-310  5.21502e-310\n",
       " 2.25355e-314  0.0          6.93014e-310\n",
       "\n",
       "[:, :, 1, 2, 1] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 2, 2, 1] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 3, 2, 1] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 4, 2, 1] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 1, 3, 1] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 2, 3, 1] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 3, 3, 1] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 4, 3, 1] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 1, 4, 1] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 2, 4, 1] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 3, 4, 1] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 4, 4, 1] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 1, 5, 1] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 2, 5, 1] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 3, 5, 1] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 4, 5, 1] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 1, 1, 2] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 2] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 2] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 2] =\n",
       " 0.0           6.9301e-310  5.21502e-310\n",
       " 2.25355e-314  0.0          6.93014e-310\n",
       "\n",
       "[:, :, 1, 2, 2] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 2, 2, 2] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 3, 2, 2] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 4, 2, 2] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 1, 3, 2] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 2, 3, 2] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 3, 3, 2] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 4, 3, 2] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 1, 4, 2] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 2, 4, 2] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 3, 4, 2] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 4, 4, 2] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 1, 5, 2] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 2, 5, 2] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 3, 5, 2] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 4, 5, 2] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 1, 1, 3] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 3] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 3] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 3] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 1, 2, 3] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 2, 2, 3] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 3, 2, 3] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 4, 2, 3] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 1, 3, 3] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 2, 3, 3] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 3, 3, 3] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 4, 3, 3] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 1, 4, 3] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 2, 4, 3] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 3, 4, 3] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 4, 4, 3] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 1, 5, 3] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 2, 5, 3] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 3, 5, 3] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 4, 5, 3] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 1, 1, 4] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 4] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 4] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 4] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 1, 2, 4] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 2, 2, 4] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 3, 2, 4] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 4, 2, 4] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 1, 3, 4] =\n",
       " 0.0           6.9301e-310  5.21502e-310\n",
       " 2.25355e-314  0.0          6.93014e-310\n",
       "\n",
       "[:, :, 2, 3, 4] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 3, 3, 4] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 4, 3, 4] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 1, 4, 4] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 2, 4, 4] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 3, 4, 4] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 4, 4, 4] =\n",
       " 6.9301e-310  5.21502e-310  2.25355e-314\n",
       " 0.0          6.93014e-310  1.0e-323\n",
       "\n",
       "[:, :, 1, 5, 4] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 2, 5, 4] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 3, 5, 4] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 4, 5, 4] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 1, 1, 5] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 5] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 5] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 5] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 1, 2, 5] =\n",
       " 2.25355e-314  0.0           6.93014e-310\n",
       " 6.9301e-310   5.21502e-310  2.25355e-314\n",
       "\n",
       "[:, :, 2, 2, 5] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 3, 2, 5] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 4, 2, 5] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 1, 3, 5] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 2, 3, 5] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 3, 3, 5] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 4, 3, 5] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 1, 4, 5] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 2, 4, 5] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 3, 4, 5] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 4, 4, 5] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 1, 5, 5] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 2, 5, 5] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 3, 5, 5] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 4, 5, 5] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 1, 1, 6] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 6] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 6] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 6] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 1, 2, 6] =\n",
       "   6.93013e-310    6.93013e-310  NaN\n",
       " NaN             NaN             NaN\n",
       "\n",
       "[:, :, 2, 2, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 3, 2, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 4, 2, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 1, 3, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 2, 3, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 3, 3, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 4, 3, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 1, 4, 6] =\n",
       " NaN  NaN  5.21502e-310\n",
       " NaN  NaN  0.0\n",
       "\n",
       "[:, :, 2, 4, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 3, 4, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 4, 4, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 1, 5, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 2, 5, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 3, 5, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 4, 5, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# in array we can have n dimensions\n",
    "a1 = Array{Float64}(undef,2,3,4,5,6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6e202f0f-ac77-4460-bc8b-cc251215f5d9",
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "MethodError: no method matching Matrix{Int64}(::UndefInitializer, ::Int64, ::Int64, ::Int64)\n\u001b[0mClosest candidates are:\n\u001b[0m  Array{T, N}(::UndefInitializer, ::Int64...) where {T, N} at boot.jl:454\n\u001b[0m  Array{T, N}(::UndefInitializer, ::Integer...) where {T, N} at baseext.jl:14\n\u001b[0m  Array{T, N}(\u001b[91m::Nothing\u001b[39m, ::Any...) where {T, N} at baseext.jl:31\n\u001b[0m  ...",
     "output_type": "error",
     "traceback": [
      "MethodError: no method matching Matrix{Int64}(::UndefInitializer, ::Int64, ::Int64, ::Int64)\n\u001b[0mClosest candidates are:\n\u001b[0m  Array{T, N}(::UndefInitializer, ::Int64...) where {T, N} at boot.jl:454\n\u001b[0m  Array{T, N}(::UndefInitializer, ::Integer...) where {T, N} at baseext.jl:14\n\u001b[0m  Array{T, N}(\u001b[91m::Nothing\u001b[39m, ::Any...) where {T, N} at baseext.jl:31\n\u001b[0m  ...",
      "",
      "Stacktrace:",
      " [1] top-level scope",
      "   @ In[8]:2",
      " [2] eval",
      "   @ ./boot.jl:360 [inlined]",
      " [3] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)",
      "   @ Base ./loading.jl:1116"
     ]
    }
   ],
   "source": [
    "# but in matrix we can have only two that is row and columns\n",
    "m1 = Matrix{Int}(undef,2,3,4)\n",
    "# Here, it gives us an error as we put 3 dimensions instead of 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a36380c9-22b1-4d13-b76d-f18b72df4f08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7-element Vector{Int64}:\n",
       " 4740189392\n",
       " 4690577728\n",
       " 4691980256\n",
       " 4691980336\n",
       " 4691980416\n",
       " 4691980496\n",
       " 4666534512"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v = Vector{Int64}(undef,7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "89c28bd9-aaec-4a5c-bcda-bccc0f9f4c32",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 2, 3, 4, 5)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# tuple\n",
    "t = (1,2,3,4,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "8227b066-f622-4072-afba-eaf9b2026536",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NTuple{5, Int64}"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "typeof(t) # it is a tuple , here we can not change the value of the elements as we have done in case of array."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "916ca0fb-9589-4c32-9214-690c01ac4501",
   "metadata": {},
   "outputs": [],
   "source": [
    "# t[1] = 100 # this will give us an error."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "52dfbc51-6c63-439e-bfe7-aa438a70d261",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(a = 1.0, b = \"Hello\", c = 7)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = (a=1.0,b=\"Hello\",c=7)  # named Tupel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "d163adc6-6426-4568-b523-02b17e271536",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "a09826a6-c6e4-47fd-9a68-505f9c553e59",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"Hello\""
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "e26ae063-be5b-4754-9223-add66614e1ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "a016f8ab-7e23-45a2-a4a5-1af0fbd3afc2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "21f38f77-95e9-4eaf-a79d-c20bd4272ba7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"Hello\""
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "52c7a30c-49a9-4a14-a93d-489c41eef906",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "d471e006-b40b-4126-b96a-ac1fe36eb2bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(:a, :b, :c)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "keys(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "e962de12-b2b7-42f6-84c1-c6b451899ba4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.0, \"Hello\", 7)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "values(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "f75552e8-df24-4469-a2e5-0d07a12057f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dict{Char, Any} with 3 entries:\n",
       "  'a' => 7.3\n",
       "  'c' => [1.0e-323 NaN 2.25355e-314; 0.0 0.0 1.0e-323]…\n",
       "  'b' => \"Hello\""
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Dictionaries\n",
    "d = Dict('a' => 7.3 ,'b' => \"Hello\", 'c' => a1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "113b9099-ec32-441d-8ba0-0c77cc7af32c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.3"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d['a']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "b85840f5-bf59-4ae1-ad1c-df82a3c873d3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"Hello\""
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d['b']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "0f259df1-de37-442a-aa44-bbfd10cf5afa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×3×4×5×6 Array{Float64, 5}:\n",
       "[:, :, 1, 1, 1] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 1] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 1] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 1] =\n",
       " 0.0           6.9301e-310  5.21502e-310\n",
       " 2.25355e-314  0.0          6.93014e-310\n",
       "\n",
       "[:, :, 1, 2, 1] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 2, 2, 1] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 3, 2, 1] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 4, 2, 1] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 1, 3, 1] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 2, 3, 1] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 3, 3, 1] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 4, 3, 1] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 1, 4, 1] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 2, 4, 1] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 3, 4, 1] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 4, 4, 1] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 1, 5, 1] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 2, 5, 1] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 3, 5, 1] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 4, 5, 1] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 1, 1, 2] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 2] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 2] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 2] =\n",
       " 0.0           6.9301e-310  5.21502e-310\n",
       " 2.25355e-314  0.0          6.93014e-310\n",
       "\n",
       "[:, :, 1, 2, 2] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 2, 2, 2] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 3, 2, 2] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 4, 2, 2] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 1, 3, 2] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 2, 3, 2] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 3, 3, 2] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 4, 3, 2] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 1, 4, 2] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 2, 4, 2] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 3, 4, 2] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 4, 4, 2] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 1, 5, 2] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 2, 5, 2] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 3, 5, 2] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 4, 5, 2] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 1, 1, 3] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 3] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 3] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 3] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 1, 2, 3] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 2, 2, 3] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 3, 2, 3] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 4, 2, 3] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 1, 3, 3] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 2, 3, 3] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 3, 3, 3] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 4, 3, 3] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 1, 4, 3] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 2, 4, 3] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 3, 4, 3] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 4, 4, 3] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 1, 5, 3] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 2, 5, 3] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 3, 5, 3] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 4, 5, 3] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 1, 1, 4] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 4] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 4] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 4] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 1, 2, 4] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 2, 2, 4] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 3, 2, 4] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 4, 2, 4] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 1, 3, 4] =\n",
       " 0.0           6.9301e-310  5.21502e-310\n",
       " 2.25355e-314  0.0          6.93014e-310\n",
       "\n",
       "[:, :, 2, 3, 4] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 3, 3, 4] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 4, 3, 4] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 1, 4, 4] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 2, 4, 4] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 3, 4, 4] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 4, 4, 4] =\n",
       " 6.9301e-310  5.21502e-310  2.25355e-314\n",
       " 0.0          6.93014e-310  1.0e-323\n",
       "\n",
       "[:, :, 1, 5, 4] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 2, 5, 4] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 3, 5, 4] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 4, 5, 4] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 1, 1, 5] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 5] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 5] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 5] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 1, 2, 5] =\n",
       " 2.25355e-314  0.0           6.93014e-310\n",
       " 6.9301e-310   5.21502e-310  2.25355e-314\n",
       "\n",
       "[:, :, 2, 2, 5] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 3, 2, 5] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 4, 2, 5] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 1, 3, 5] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 2, 3, 5] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 3, 3, 5] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 4, 3, 5] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 1, 4, 5] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 2, 4, 5] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 3, 4, 5] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 4, 4, 5] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 1, 5, 5] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 2, 5, 5] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 3, 5, 5] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 4, 5, 5] =\n",
       " 2.25355e-314    0.0  0.0\n",
       " 1.0e-323      NaN    2.25355e-314\n",
       "\n",
       "[:, :, 1, 1, 6] =\n",
       " 1.0e-323  NaN    2.25355e-314\n",
       " 0.0         0.0  1.0e-323\n",
       "\n",
       "[:, :, 2, 1, 6] =\n",
       "   0.0  0.0           1.0e-323\n",
       " NaN    2.25355e-314  0.0\n",
       "\n",
       "[:, :, 3, 1, 6] =\n",
       " NaN    2.25355e-314    0.0\n",
       "   0.0  1.0e-323      NaN\n",
       "\n",
       "[:, :, 4, 1, 6] =\n",
       " 0.0           1.0e-323  NaN\n",
       " 2.25355e-314  0.0         0.0\n",
       "\n",
       "[:, :, 1, 2, 6] =\n",
       "   6.93013e-310    6.93013e-310  NaN\n",
       " NaN             NaN             NaN\n",
       "\n",
       "[:, :, 2, 2, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 3, 2, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 4, 2, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 1, 3, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 2, 3, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 3, 3, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 4, 3, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 1, 4, 6] =\n",
       " NaN  NaN  5.21502e-310\n",
       " NaN  NaN  0.0\n",
       "\n",
       "[:, :, 2, 4, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 3, 4, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 4, 4, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 1, 5, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 2, 5, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 3, 5, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN\n",
       "\n",
       "[:, :, 4, 5, 6] =\n",
       " NaN  NaN  NaN\n",
       " NaN  NaN  NaN"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d['c']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "c92e149d-b3de-4b30-a697-def673c5a7ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dict{String, Float64}"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# we can also pre=defined the type of elements we want to have in the Dictionaries\n",
    "d1 = Dict{Any,Any}\n",
    "d2 = Dict{String,Float64}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6ea5fe70-2197-4bc7-a21c-935bcab08032",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.6.6"
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