Day 19-NumPy Mathematical Functions.ipynb

{"cells":[{"cell_type":"code","execution_count":1,"metadata":{"id":"rChGH7_GavrW"},"outputs":[],"source":["import numpy as np"]},{"cell_type":"code","execution_count":8,"metadata":{"id":"FhEZv_JpcOo0"},"outputs":[],"source":["arr1 = np.array([[1,2,3,4,5],[6,7,8,9,10]])\n","arr2 = np.array([[10,9,8,7,6],[5,4,3,2,1]])"]},{"cell_type":"code","execution_count":9,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":386,"status":"ok","timestamp":1627649322947,"user":{"displayName":"Sahil 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1]])"]},"execution_count":10,"metadata":{},"output_type":"execute_result"}],"source":["arr2"]},{"cell_type":"markdown","metadata":{"id":"xIVAWW6Ict5U"},"source":["# Mathematical Functions & Stats"]},{"cell_type":"markdown","metadata":{"id":"n9KnjachdiAG"},"source":["* Addition -> Add two matrices or add an element to a matix"]},{"cell_type":"code","execution_count":5,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":12,"status":"ok","timestamp":1627649509233,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"G0TZkyjMcOrV","outputId":"958f9de2-42d0-47bb-8029-f5e3ac2e5531"},"outputs":[{"data":{"text/plain":["array([[11, 11, 11, 11, 11],\n","       [11, 11, 11, 11, 11]])"]},"execution_count":5,"metadata":{},"output_type":"execute_result"}],"source":["# Adding two matrics\n","arr1 + arr2"]},{"cell_type":"code","execution_count":13,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":405,"status":"ok","timestamp":1627649559306,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"uLCdgETfcOw1","outputId":"835f57ae-d775-421d-8a60-2561fefc4420"},"outputs":[{"data":{"text/plain":["array([[21, 22, 23, 24, 25],\n","       [26, 27, 28, 29, 30]])"]},"execution_count":13,"metadata":{},"output_type":"execute_result"}],"source":["# Adding an element\n","arr1 + 20"]},{"cell_type":"code","execution_count":11,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":431,"status":"ok","timestamp":1627649878711,"user":{"displayName":"Sahil 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1)"]},"execution_count":14,"metadata":{},"output_type":"execute_result"}],"source":["arr3.shape"]},{"cell_type":"code","execution_count":15,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":379,"status":"ok","timestamp":1627649763701,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"L29JLTHfcO35","outputId":"7d40e2b7-63e4-41ba-8829-e20e73d86a12"},"outputs":[{"data":{"text/plain":["array([[ 2,  3,  4,  5,  6],\n","       [ 8,  9, 10, 11, 12]])"]},"execution_count":15,"metadata":{},"output_type":"execute_result"}],"source":["arr1 + arr3"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":393,"status":"ok","timestamp":1627649822967,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"vsP985-acO56","outputId":"f361ded7-dc91-43a5-9653-7da93d0d3896"},"outputs":[{"data":{"text/plain":["array([[ 1,  2,  3,  4,  5],\n","       [ 6,  7,  8,  9, 10]])"]},"execution_count":13,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr1"]},{"cell_type":"markdown","metadata":{"id":"gTTEjSiVftUc"},"source":["* Substraction"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":405,"status":"ok","timestamp":1627649946936,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"cpZ4tCV5cO8K","outputId":"ed824e80-3927-4e25-919b-a88a184f8faa"},"outputs":[{"data":{"text/plain":["array([[ 1,  2,  3,  4,  5],\n","       [ 6,  7,  8,  9, 10]])"]},"execution_count":17,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr1"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":367,"status":"ok","timestamp":1627649950285,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"uwd48W7XcO-y","outputId":"c97ecd2e-a719-411e-f4eb-48014bc915d5"},"outputs":[{"data":{"text/plain":["array([[10,  9,  8,  7,  6],\n","       [ 5,  4,  3,  2,  1]])"]},"execution_count":18,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr2"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":386,"status":"ok","timestamp":1627649992921,"user":{"displayName":"Sahil 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-90]])"]},"execution_count":20,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr1 - 100"]},{"cell_type":"markdown","metadata":{"id":"vNRb8o-pgGVJ"},"source":["* Division"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":402,"status":"ok","timestamp":1627650043969,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"YtQ_3z6hcPID","outputId":"e58329c2-84ec-4910-dadd-191157b64fbc"},"outputs":[{"data":{"text/plain":["array([[ 1,  2,  3,  4,  5],\n","       [ 6,  7,  8,  9, 10]])"]},"execution_count":21,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr1"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":514,"status":"ok","timestamp":1627650047787,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"Omnw51NFcPLS","outputId":"ebfcf9a6-d075-4ef6-9c89-dd91cd368e97"},"outputs":[{"data":{"text/plain":["array([[10,  9,  8,  7,  6],\n","       [ 5,  4,  3,  2,  1]])"]},"execution_count":22,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr2"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":404,"status":"ok","timestamp":1627650053814,"user":{"displayName":"Sahil 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]])"]},"execution_count":25,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr1 / 4"]},{"cell_type":"markdown","metadata":{"id":"DKps59v3ggh_"},"source":["* Exponential"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":414,"status":"ok","timestamp":1627650153007,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"TgV2T-9ccPW_","outputId":"4a7524a0-9110-41a7-a616-cfde9df854c9"},"outputs":[{"data":{"text/plain":["array([[ 1,  2,  3,  4,  5],\n","       [ 6,  7,  8,  9, 10]])"]},"execution_count":26,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr1"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":456,"status":"ok","timestamp":1627650156512,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"kqxrQiVHcPZ5","outputId":"ea486933-1120-4493-8fab-ab58fda555eb"},"outputs":[{"data":{"text/plain":["array([[10,  9,  8,  7,  6],\n","       [ 5,  4,  3,  2,  1]])"]},"execution_count":27,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr2"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":669,"status":"ok","timestamp":1627650214991,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"GOPcCwGYcPc8","outputId":"3594ec78-88e9-420e-b6ca-56620ea0f092"},"outputs":[{"data":{"text/plain":["array([[    1,   512,  6561, 16384, 15625],\n","       [ 7776,  2401,   512,    81,    10]])"]},"execution_count":28,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr1 ** arr2"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":446,"status":"ok","timestamp":1627650238378,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"mPCzqn-tcPfd","outputId":"014aace3-b541-4233-fec5-5283961eaea6"},"outputs":[{"data":{"text/plain":["array([[  1,   4,   9,  16,  25],\n","       [ 36,  49,  64,  81, 100]])"]},"execution_count":29,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr1 ** 2"]},{"cell_type":"markdown","metadata":{"id":"XtaStRF8g9HH"},"source":["* Multiplication - Cross & Dot"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":4,"status":"ok","timestamp":1627650308026,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"_wo40Cfgg7kO","outputId":"a0c8914d-ac72-4d23-9100-ea8e314bb7ca"},"outputs":[{"data":{"text/plain":["array([[ 1,  2,  3,  4,  5],\n","       [ 6,  7,  8,  9, 10]])"]},"execution_count":31,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr1\n","# 2 X 5"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":431,"status":"ok","timestamp":1627650305474,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"rf5jVgWZg7pY","outputId":"28e39acb-8b76-42b8-c7e7-d795ce0fabed"},"outputs":[{"data":{"text/plain":["array([[10,  9,  8,  7,  6],\n","       [ 5,  4,  3,  2,  1]])"]},"execution_count":30,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr2\n","\n","# 2 x 5"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":364,"status":"ok","timestamp":1627650330755,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"QRQTGryqg7s2","outputId":"9b7cd30a-4ee4-47eb-bd77-9ff645a5209d"},"outputs":[{"data":{"text/plain":["array([[10, 18, 24, 28, 30],\n","       [30, 28, 24, 18, 10]])"]},"execution_count":32,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["# Cross Product\n","arr1 * arr2"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"w1iSj95Kg7u_"},"outputs":[],"source":["# Dot Product"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"ZaPeOeUCg7y3"},"outputs":[],"source":["arr3 = np.array([[1,2],[3,4],[5,6],[7,8],[9,10]])"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":394,"status":"ok","timestamp":1627650885827,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"jICJNIGig72J","outputId":"3d33b862-93fa-4752-a8e7-b5450fedf34a"},"outputs":[{"data":{"text/plain":["2"]},"execution_count":35,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr3.ndim"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":382,"status":"ok","timestamp":1627650893012,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"c1R8Okhng76n","outputId":"5e0d1f5f-ffa4-4864-babb-b5136ba65fb8"},"outputs":[{"data":{"text/plain":["(5, 2)"]},"execution_count":36,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arr3.shape"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":383,"status":"ok","timestamp":1627651060307,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"dd0QTuIxg8Cq","outputId":"ed564ccc-5a58-44ee-98a8-df94e2f07d8d"},"outputs":[{"data":{"text/plain":["array([[ 95, 110],\n","       [220, 260]])"]},"execution_count":39,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["# np.dot(arr1,arr3)\n","np.dot(arr3,arr1)\n","\n","# np.matmul(arr1, arr3)\n","np.matmul(arr1, arr3)"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":404,"status":"ok","timestamp":1627651079535,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"u9_O_qdYg8Hl","outputId":"137840e6-5554-4f6b-bcca-1e5509e86f68"},"outputs":[{"data":{"text/plain":["array([[ 95, 110],\n","       [220, 260]])"]},"execution_count":40,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["np.dot(arr1,arr3)"]},{"cell_type":"markdown","metadata":{"id":"vfqdJbtxkVkv"},"source":["# Determinant"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"vqTldVrpkIjh"},"outputs":[],"source":["# Square matrix -> No. of rows = No. of columns\n","# Square matrix -> No. of rows & No. of columns = Same\n","\n","detarray = np.array([[-4,-10],[0,5]])"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":386,"status":"ok","timestamp":1627651304908,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"2H4CoBIwkIqk","outputId":"3e7635c8-949d-4ad4-accd-52393cc2afce"},"outputs":[{"data":{"text/plain":["array([[ -4, -10],\n","       [  0,   5]])"]},"execution_count":42,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["detarray\n","\n","det = (-4*5) - (-10*0) = -20"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"D3C7OOkxkIuv"},"outputs":[],"source":["[a      (-)b    c]\n","[(-)d   e    (-)f]\n","[g     (-)h     i]"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":443,"status":"ok","timestamp":1627651883853,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"gJy6v_O1cPiP","outputId":"29e9954b-8150-45e1-d35a-f1c269b185d6"},"outputs":[{"data":{"text/plain":["-19.999999999999996"]},"execution_count":43,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["# np.linalg.det(arr)\n","\n","np.linalg.det(detarray)"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"hfkLp1I_cPk0"},"outputs":[],"source":["detarray3 = np.array([[-4,-10,-6],[0,5,7], [-9, 6, 0]])"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"Pa439lyNnZgp"},"outputs":[],"source":["np.linalg.det(detarray3)"]},{"cell_type":"markdown","metadata":{"id":"hpdK13Euosnh"},"source":["* Inverse of a matrix"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"DXu3LCsanZja"},"outputs":[],"source":["arrinv = np.array([[1,2],[3,4]])"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":647,"status":"ok","timestamp":1627652362147,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"MaRuXB59nZm8","outputId":"8e7b3bfa-3e94-4bec-a50f-60b46a163305"},"outputs":[{"data":{"text/plain":["array([[1, 2],\n","       [3, 4]])"]},"execution_count":47,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arrinv"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":385,"status":"ok","timestamp":1627652498650,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"sWAWhkcTnZrr","outputId":"21e72259-664a-44f5-d6e9-ad9d4237343e"},"outputs":[{"data":{"text/plain":["array([[-2. ,  1. ],\n","       [ 1.5, -0.5]])"]},"execution_count":48,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["# np.linalg.inv(arrinv)\n","np.linalg.inv(arrinv)\n","\n","Inverse = (1/det(mat)) * transpose(adj. matrix)"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"5hRtsPf-nZyQ"},"outputs":[],"source":["arrinv\n","deter = np.linalg.det(arrinv)"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"2lSU_d4onZ0S"},"outputs":[],"source":["newdet = 1/deter"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":402,"status":"ok","timestamp":1627652660790,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"bnVSHpcbnZ69","outputId":"c8ad585e-9edc-45b7-8e50-9ba6c956aac3"},"outputs":[{"data":{"text/plain":["-0.4999999999999999"]},"execution_count":52,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["newdet"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":382,"status":"ok","timestamp":1627653702754,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"TodEur2nqN9I","outputId":"3f90eb99-5971-415c-e30f-0ce9421908a6"},"outputs":[{"data":{"text/plain":["array([[-2. ,  1. ],\n","       [ 1.5, -0.5]])"]},"execution_count":55,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["# Inverse of the matrix\n","\n","np.linalg.inv(arrinv)"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":1412,"status":"ok","timestamp":1627653789789,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"0BX8aYg3qOCH","outputId":"a2952841-a439-4392-8b09-00b6d9c7d50c"},"outputs":[{"data":{"text/plain":["array([[1, 3],\n","       [2, 4]])"]},"execution_count":57,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arrinv.transpose()"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"0C-vygBCqOG0"},"outputs":[],"source":["[1 3]\n","[2 4]"]},{"cell_type":"markdown","metadata":{"id":"Ezv66HUNu_mO"},"source":["* Reciprocal"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"4X32KlL6u-uK"},"outputs":[],"source":["arreci = np.array([[10,20],[30,40]], dtype='float')"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":454,"status":"ok","timestamp":1627653972937,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"-7mkGQEbqOKL","outputId":"123147b2-6257-4fc9-e28a-7250a8df5fc2"},"outputs":[{"data":{"text/plain":["array([[10, 20],\n","       [30, 40]])"]},"execution_count":59,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["arreci"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":5,"status":"ok","timestamp":1627654286733,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"5GPtgba9qONQ","outputId":"9e310bf5-ce02-420b-8dbd-3a95cd682542"},"outputs":[{"data":{"text/plain":["array([[0.1       , 0.05      ],\n","       [0.03333333, 0.025     ]])"]},"execution_count":67,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["# np.reciprocal(array_name)\n","# 1/element\n","np.reciprocal(arreci)"]},{"cell_type":"markdown","metadata":{"id":"bCQqvTQlwdZ9"},"source":["# Statistics"]},{"cell_type":"code","execution_count":16,"metadata":{"id":"jQ2gU1gIqOPq"},"outputs":[],"source":["statarr = np.array([[20, 50, -40],[9, 10, -1],[7, 26, 34]])"]},{"cell_type":"code","execution_count":17,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":5,"status":"ok","timestamp":1627654701020,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"tqYYsTaPwq6m","outputId":"5d4e6332-2291-46f6-ef57-e0ddbba04431"},"outputs":[{"data":{"text/plain":["array([[ 20,  50, -40],\n","       [  9,  10,  -1],\n","       [  7,  26,  34]])"]},"execution_count":17,"metadata":{},"output_type":"execute_result"}],"source":["statarr"]},{"cell_type":"markdown","metadata":{"id":"vnHRfZUBxChe"},"source":["* max()"]},{"cell_type":"code","execution_count":22,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":1846,"status":"ok","timestamp":1627654708607,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"4EvXXYFEwq_g","outputId":"3febe93a-439d-423f-a34c-5cfc8911247a"},"outputs":[{"data":{"text/plain":["50"]},"execution_count":22,"metadata":{},"output_type":"execute_result"}],"source":["np.max(statarr)"]},{"cell_type":"code","execution_count":24,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":379,"status":"ok","timestamp":1627654723606,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"Hdcatog8wrCD","outputId":"ce430268-d39a-4d11-cf73-e090e7f9b20e"},"outputs":[{"data":{"text/plain":["array([20, 50, 34])"]},"execution_count":24,"metadata":{},"output_type":"execute_result"}],"source":["np.max(statarr, axis=0)\n","# [20, 50, 34]"]},{"cell_type":"code","execution_count":26,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":447,"status":"ok","timestamp":1627654737782,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"bFLZHIrZwrHG","outputId":"dc38f148-0cbd-46ce-da73-5e194e0a0780"},"outputs":[{"data":{"text/plain":["array([50, 10, 34])"]},"execution_count":26,"metadata":{},"output_type":"execute_result"}],"source":["np.max(statarr, axis=1)"]},{"cell_type":"markdown","metadata":{"id":"_2FOS5T4yIbY"},"source":["* min()"]},{"cell_type":"code","execution_count":38,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":663,"status":"ok","timestamp":1627654773910,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"gp0hdG0WwrKY","outputId":"0a36538a-1756-4c40-c467-c57194650012"},"outputs":[{"data":{"text/plain":["array([[ 20,  50, -40],\n","       [  9,  10,  -1],\n","       [  7,  26,  34]])"]},"execution_count":38,"metadata":{},"output_type":"execute_result"}],"source":["statarr"]},{"cell_type":"code","execution_count":39,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":374,"status":"ok","timestamp":1627654791255,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"dY4g0xWIwrPy","outputId":"74d6e96f-dffa-483e-f811-ae5bbbfa9eb5"},"outputs":[{"data":{"text/plain":["-40"]},"execution_count":39,"metadata":{},"output_type":"execute_result"}],"source":["np.min(statarr)"]},{"cell_type":"code","execution_count":40,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":377,"status":"ok","timestamp":1627654807060,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"fkM-chEjwrTv","outputId":"b2bb9242-3967-4a38-e661-a4e171bb0413"},"outputs":[{"data":{"text/plain":["array([  7,  10, -40])"]},"execution_count":40,"metadata":{},"output_type":"execute_result"}],"source":["np.min(statarr, axis=0) # 0 indicates cols. Means jo value cols mai min hai usse print karo"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":375,"status":"ok","timestamp":1627654831972,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"XvaxBA-awrXp","outputId":"1bfed40c-4154-4ee6-ce0f-2caf5451efc8"},"outputs":[{"data":{"text/plain":["array([-40,  -1,   7])"]},"execution_count":81,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["np.min(statarr, axis=1) # 1 indicates rows. Means jo value rows mai min hai usse print karo"]},{"cell_type":"markdown","metadata":{"id":"LyQ5n1zryk2O"},"source":["* Sum"]},{"cell_type":"code","execution_count":32,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":386,"status":"ok","timestamp":1627654886129,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"JGO0PU65yjg7","outputId":"cc1d3cfd-579b-4e82-a8c4-a00651f6c7aa"},"outputs":[{"data":{"text/plain":["array([[ 20,  50, -40],\n","       [  9,  10,  -1],\n","       [  7,  26,  34]])"]},"execution_count":32,"metadata":{},"output_type":"execute_result"}],"source":["statarr"]},{"cell_type":"code","execution_count":33,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":389,"status":"ok","timestamp":1627654929571,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"AWdS5mY5wrhJ","outputId":"9f7bb400-d483-4feb-80cd-7713cc2a39c4"},"outputs":[{"data":{"text/plain":["115"]},"execution_count":33,"metadata":{},"output_type":"execute_result"}],"source":["np.sum(statarr)"]},{"cell_type":"code","execution_count":34,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":393,"status":"ok","timestamp":1627654991277,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"ppqgFHp3qOSI","outputId":"c518afc7-aaaa-4a8e-b331-18ca3075d461"},"outputs":[{"data":{"text/plain":["array([36, 86, -7])"]},"execution_count":34,"metadata":{},"output_type":"execute_result"}],"source":["np.sum(statarr, axis=1)\n","# [36, 86, -7]"]},{"cell_type":"code","execution_count":42,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":399,"status":"ok","timestamp":1627655021282,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"fVNsUY2sqOXa","outputId":"7ca20da5-a67c-4ae2-ac96-86b00866f9a5"},"outputs":[{"data":{"text/plain":["[30, 18, 67]"]},"execution_count":42,"metadata":{},"output_type":"execute_result"}],"source":["np.sum(statarr, axis=1)\n","[30, 18, 67]"]},{"cell_type":"markdown","metadata":{"id":"y-OmyVdmzSiV"},"source":["* argmax()"]},{"cell_type":"code","execution_count":51,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":4,"status":"ok","timestamp":1627655321383,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"orDyRXyczKyb","outputId":"16774925-8127-478c-da29-7d3394070ec5"},"outputs":[{"data":{"text/plain":["array([[  20,   50,  -40],\n","       [   9, -100,   -1],\n","       [   7,  100,   34]])"]},"execution_count":51,"metadata":{},"output_type":"execute_result"}],"source":["statarr"]},{"cell_type":"code","execution_count":52,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":360,"status":"ok","timestamp":1627655390120,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"iMJT6HbCzK1Y","outputId":"b473f71c-19fa-461f-e4c2-3c8d39c7feb7"},"outputs":[{"data":{"text/plain":["7"]},"execution_count":52,"metadata":{},"output_type":"execute_result"}],"source":["np.argmax(statarr) # The argmax() function is a function in Python that returns the maximum value index in an iterable. "]},{"cell_type":"code","execution_count":47,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":371,"status":"ok","timestamp":1627655392396,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"qWa2H7-kzK6k","outputId":"27736010-a4e7-4ffd-a71a-d55ae16a811b"},"outputs":[{"data":{"text/plain":["2"]},"execution_count":47,"metadata":{},"output_type":"execute_result"}],"source":["np.argmin(statarr) # The argmin() function is a function in Python that returns the min value index in an iterable. "]},{"cell_type":"code","execution_count":48,"metadata":{"id":"DINK7goUzK8a"},"outputs":[],"source":["statarr[2,1] = 100\n","statarr[1,1] = -100"]},{"cell_type":"code","execution_count":55,"metadata":{},"outputs":[{"data":{"text/plain":["array([[  20,   50,  -40],\n","       [   9, -100,   -1],\n","       [   7,  100,   34]])"]},"execution_count":55,"metadata":{},"output_type":"execute_result"}],"source":["statarr"]},{"cell_type":"code","execution_count":54,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":382,"status":"ok","timestamp":1627655516083,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"aDrEhinMzK_l","outputId":"fc814d66-0d3d-4945-f260-68cd4727debc"},"outputs":[{"data":{"text/plain":["array([1, 0, 1], dtype=int64)"]},"execution_count":54,"metadata":{},"output_type":"execute_result"}],"source":["np.argmax(statarr,axis=1)\n","# [1, 0, 1] # represents position the max of arr present in row because as we see above 1 is for rows and 0 is for columns"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":376,"status":"ok","timestamp":1627655538514,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"CzlW5uXGzLEx","outputId":"ffbbd754-3be1-48bb-d107-3e2125363ad7"},"outputs":[{"data":{"text/plain":["array([0, 2, 2])"]},"execution_count":97,"metadata":{"tags":[]},"output_type":"execute_result"}],"source":["np.argmax(statarr,axis=0)  # represents position the max of arr present in col because as we see above 1 is for rows and 0 is for columns"]},{"cell_type":"markdown","metadata":{"id":"eMGdT98w1J8l"},"source":["* argmin()"]},{"cell_type":"code","execution_count":56,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":362,"status":"ok","timestamp":1627655600261,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"1czbCirT1PgT","outputId":"eb15ae6f-31c8-402f-a0c8-a4303675f45c"},"outputs":[{"data":{"text/plain":["4"]},"execution_count":56,"metadata":{},"output_type":"execute_result"}],"source":["np.argmin(statarr)  # represents position the min value of arr present matrix"]},{"cell_type":"code","execution_count":57,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":378,"status":"ok","timestamp":1627655645301,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"avdGDeYHzLJR","outputId":"385d4e7b-78f9-4b2e-e216-c69b26db8f48"},"outputs":[{"data":{"text/plain":["array([2, 1, 0], dtype=int64)"]},"execution_count":57,"metadata":{},"output_type":"execute_result"}],"source":["np.argmin(statarr,axis=1)  # represents position the min of arr present in row because as we see above 1 is for rows and 0 is for columns"]},{"cell_type":"code","execution_count":58,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":2675,"status":"ok","timestamp":1627655676882,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"cNKHgyyS1MoB","outputId":"2c6574ed-0e7e-4930-d9f6-b3839532317e"},"outputs":[{"data":{"text/plain":["array([2, 1, 0], dtype=int64)"]},"execution_count":58,"metadata":{},"output_type":"execute_result"}],"source":["np.argmin(statarr,axis=0)  # represents position the min of arr present in row because as we see above 1 is for rows and 0 is for columns"]},{"cell_type":"markdown","metadata":{"id":"3jym8BVj1stR"},"source":["* around()"]},{"cell_type":"code","execution_count":62,"metadata":{"id":"Hg8_yN951MtI"},"outputs":[],"source":["arr = np.array([3.5016, 0.9846]) #creates a NumPy array with two elements, 3.501 and 0.98"]},{"cell_type":"code","execution_count":63,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":389,"status":"ok","timestamp":1627656029089,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"N8nn5o-g1Mv0","outputId":"5d579e21-9f0a-485d-910f-145d80ee500e"},"outputs":[{"data":{"text/plain":["array([3.502, 0.985])"]},"execution_count":63,"metadata":{},"output_type":"execute_result"}],"source":["np.around(arr,decimals=3) # around func rounds up the value if val>5 then next digit else if val<5 then same digit.\n","# [0,0]\n","# [0,1]\n","# [1,1]\n","# [3.501, 1.000]\n","# [3.501, 0.98]\n","# [3.500, 1.000]"]},{"cell_type":"markdown","metadata":{"id":"98NV9nkH3P4U"},"source":["* floor & ceil"]},{"cell_type":"code","execution_count":75,"metadata":{"id":"uhEnSWfo2Feh"},"outputs":[],"source":["a = np.array([-1.7, -4.2, 4.6, -0.87]) "]},{"cell_type":"code","execution_count":76,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":3,"status":"ok","timestamp":1627656274451,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"xIW3H6H42Fj2","outputId":"8ce0dee4-40a2-4f39-f7b3-f99109a5aaa8"},"outputs":[{"data":{"text/plain":["array([-2., -5.,  4., -1.])"]},"execution_count":76,"metadata":{},"output_type":"execute_result"}],"source":["np.floor(a) # niche wali exact value dega\n","# [-2, -5, 4, -1]"]},{"cell_type":"code","execution_count":77,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":369,"status":"ok","timestamp":1627656310288,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"X2M10ykH2Fpa","outputId":"912609df-d248-4bf7-9a07-adde2f912957"},"outputs":[{"data":{"text/plain":["array([-1., -4.,  5., -0.])"]},"execution_count":77,"metadata":{},"output_type":"execute_result"}],"source":["np.ceil(a) # upper wali exact value dega\n","# [-1, -4, 5, 0]"]},{"cell_type":"markdown","metadata":{"id":"nhOfP9YX4cno"},"source":["* Copy & View"]},{"cell_type":"code","execution_count":78,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":423,"status":"ok","timestamp":1627656508824,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"J6MudJdM2FtG","outputId":"2d77a3e3-a643-4f79-b800-5aaca90e0162"},"outputs":[{"data":{"text/plain":["array([3.5016, 0.9846])"]},"execution_count":78,"metadata":{},"output_type":"execute_result"}],"source":["arr"]},{"cell_type":"code","execution_count":79,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":388,"status":"ok","timestamp":1627656535201,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"SbbWjKi14g2l","outputId":"dbbf9845-0572-44cd-ba17-bad683e8685c"},"outputs":[{"data":{"text/plain":["array([3.5016, 0.9846])"]},"execution_count":79,"metadata":{},"output_type":"execute_result"}],"source":["# Copy\n","\n","x = arr.copy() #copy creates duplicate arr of parent and then perform operations on it without changing original\n","x"]},{"cell_type":"code","execution_count":80,"metadata":{"id":"f8S5OYuW4g66"},"outputs":[],"source":["x[0] = 10"]},{"cell_type":"code","execution_count":81,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":5,"status":"ok","timestamp":1627656554341,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"jqBJeITs4hIU","outputId":"56cafde6-ad2a-425f-dc5e-7e753af039c2"},"outputs":[{"data":{"text/plain":["array([10.    ,  0.9846])"]},"execution_count":81,"metadata":{},"output_type":"execute_result"}],"source":["x"]},{"cell_type":"code","execution_count":82,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":426,"status":"ok","timestamp":1627656565039,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"ycPrpexF4hLg","outputId":"862ddf64-ed5f-4604-e203-dabcb5534865"},"outputs":[{"data":{"text/plain":["array([3.5016, 0.9846])"]},"execution_count":82,"metadata":{},"output_type":"execute_result"}],"source":["arr"]},{"cell_type":"code","execution_count":83,"metadata":{"id":"FWN9G8eN4hRA"},"outputs":[],"source":["# View\n","\n","y = arr.view() # jo change view mai hoga voh original mai bhi hoga"]},{"cell_type":"code","execution_count":89,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["Original array (arr): [3.501 0.98 ]\n","View of the array (y): [3.501 0.98 ]\n","\n","After modifying y:\n","Original array (arr): [4.   0.98]\n","View of the array (y): [4.   0.98]\n"]}],"source":["# Lets understand view with simple example:\n","import numpy as np\n","\n","arr = np.array([3.501, 0.98])\n","y = arr.view()\n","\n","print(\"Original array (arr):\", arr)\n","print(\"View of the array (y):\", y)\n","\n","# Modify the view\n","y[0] = 4.0\n","print(\"\\nAfter modifying y:\")\n","print(\"Original array (arr):\", arr)\n","print(\"View of the array (y):\", y)\n"]},{"cell_type":"code","execution_count":84,"metadata":{"id":"OmnPYIl_4hUA"},"outputs":[],"source":["y[0] = 10"]},{"cell_type":"code","execution_count":85,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":383,"status":"ok","timestamp":1627656671001,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"69uWbDY94hcv","outputId":"fc43e617-6fe5-4f18-dbfc-192221bebabb"},"outputs":[{"data":{"text/plain":["array([10.    ,  0.9846])"]},"execution_count":85,"metadata":{},"output_type":"execute_result"}],"source":["y"]},{"cell_type":"code","execution_count":86,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":366,"status":"ok","timestamp":1627656681532,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"xetpWOqX4hff","outputId":"d190ac1c-6d2c-440c-d06a-a5811815149a"},"outputs":[{"data":{"text/plain":["array([10.    ,  0.9846])"]},"execution_count":86,"metadata":{},"output_type":"execute_result"}],"source":["arr"]},{"cell_type":"markdown","metadata":{"id":"jQBCQRw05smN"},"source":["* Iteration"]},{"cell_type":"code","execution_count":91,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":387,"status":"ok","timestamp":1627656754422,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"EuUFLkDr5rHg","outputId":"28a18cba-2d31-4441-de79-760f983594ad"},"outputs":[],"source":["arr"]},{"cell_type":"code","execution_count":92,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":363,"status":"ok","timestamp":1627656778817,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"RCTrraTU5rKr","outputId":"67699efb-a642-4bb0-dc29-7fb5038e0089"},"outputs":[{"name":"stdout","output_type":"stream","text":["1\n","2\n","3\n"]}],"source":["for i in arr:\n","  print(i)"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":381,"status":"ok","timestamp":1627656995919,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"KPF4yW2X5rRf","outputId":"45eff107-b92c-4832-a381-bd4c433db627"},"outputs":[{"name":"stdout","output_type":"stream","text":["6\n","7\n","8\n","9\n","10\n"]}],"source":["for i in np.nditer(arr1[1]):\n","  print(i)"]},{"cell_type":"code","execution_count":93,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":378,"status":"ok","timestamp":1627656833570,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"bEK3RTdM5rVL","outputId":"782e47ae-10df-4ae8-d2b5-66a3a1ef10c6"},"outputs":[{"data":{"text/plain":["array([[ 1,  2,  3,  4,  5],\n","       [ 6,  7,  8,  9, 10]])"]},"execution_count":93,"metadata":{},"output_type":"execute_result"}],"source":["arr1"]},{"cell_type":"code","execution_count":94,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":940,"status":"ok","timestamp":1627659810291,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"jEYyLtBR65Nr","outputId":"5774a47b-d8f9-4cc4-9397-06be161cdcea"},"outputs":[{"name":"stdout","output_type":"stream","text":["Hey\n","Hey\n","Hey\n","Hey\n","Hey\n","Hey\n","Hey\n","Hey\n","Hey\n","Hey\n"]}],"source":["for i in range(10):\n","  print(\"Hey\")"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":388,"status":"ok","timestamp":1627659804457,"user":{"displayName":"Sahil Rahman","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiJ8lzvw0EAvZyy3OveF6J53a3ecWuQmgHRsF6n6D4=s64","userId":"17212050139887820689"},"user_tz":-330},"id":"Yd0hWwqU65Uv","outputId":"0d7252f4-b8a4-4a1b-d034-97ecf308e3c3"},"outputs":[{"name":"stdout","output_type":"stream","text":["Hey\n","Hey\n","Hey\n","Hey\n","Hey\n","Hey\n","Hey\n","Hey\n","Hey\n","Hey\n"]}],"source":["print(\"Hey\")\n","print(\"Hey\")\n","print(\"Hey\")\n","print(\"Hey\")\n","print(\"Hey\")\n","print(\"Hey\")\n","print(\"Hey\")\n","print(\"Hey\")\n","print(\"Hey\")\n","print(\"Hey\")"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"jF3U39zr65Y1"},"outputs":[],"source":[]},{"cell_type":"code","execution_count":null,"metadata":{"id":"ASkroo6E65fe"},"outputs":[],"source":[]},{"cell_type":"code","execution_count":null,"metadata":{"id":"Jt7sd35665l3"},"outputs":[],"source":[]},{"cell_type":"code","execution_count":null,"metadata":{"id":"WLj3YOWx65ow"},"outputs":[],"source":[]},{"cell_type":"code","execution_count":null,"metadata":{"id":"NVYIrPbQ5rXz"},"outputs":[],"source":[]},{"cell_type":"code","execution_count":null,"metadata":{"id":"FjWWiNEC5rbS"},"outputs":[],"source":[]},{"cell_type":"code","execution_count":null,"metadata":{"id":"YE54SDVY2FxK"},"outputs":[],"source":[]},{"cell_type":"code","execution_count":null,"metadata":{"id":"1Yhpz3QUnZ9w"},"outputs":[],"source":[]}],"metadata":{"colab":{"authorship_tag":"ABX9TyMB2rioDF602aoW8EQRVAu/","collapsed_sections":[],"name":"NumPy Mathematical Functions.ipynb","provenance":[]},"kernelspec":{"display_name":"Python 3","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.11.6"}},"nbformat":4,"nbformat_minor":0}