. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373CONTENTS vi 29.7 System and Package Image Building . . . . . . . . . . . . . . . . . . . . . . . . . . 374 29.8 Debugging and profiling . . . . . . . . . . 1114 66 Delimited Files 1139 67 Distributed Computing 1144 67.1 Cluster Manager Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1160 68 Downloads 1164 System Image Building . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1577 101.14 Package Images . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1579 101.15 Working

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373CONTENTS vi 29.7 System and Package Image Building . . . . . . . . . . . . . . . . . . . . . . . . . . 374 29.8 Debugging and profiling . . . . . . . . . . 1114 66 Delimited Files 1139 67 Distributed Computing 1144 67.1 Cluster Manager Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1160 68 Downloads 1164 System Image Building . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1577 101.14 Package Images . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1579 101.15 Working

formatting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 396 30.7 System and Package Image Building . . . . . . . . . . . . . . . . . . . . . . . . . . 397 30.8 Debugging and profiling backends . . . . . . . . . . . . . . . . . . . . . . . . . . 476 35.31 Execution latency, package loading and package precompiling time . . . . . . . . . 476 36 Workflow Tips 479 36.1 REPL-based workflow . . . . . . . . . . 1301 68 Delimited Files 1332 69 Distributed Computing 1337 69.1 Cluster Manager Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1355 70 Downloads 1359

formatting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 396 30.7 System and Package Image Building . . . . . . . . . . . . . . . . . . . . . . . . . . 397 30.8 Debugging and profiling backends . . . . . . . . . . . . . . . . . . . . . . . . . . 476 35.31 Execution latency, package loading and package precompiling time . . . . . . . . . 476 36 Workflow Tips 479 36.1 REPL-based workflow . . . . . . . . . . 1301 68 Delimited Files 1332 69 Distributed Computing 1337 69.1 Cluster Manager Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1355 70 Downloads 1359

formatting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 396 30.7 System and Package Image Building . . . . . . . . . . . . . . . . . . . . . . . . . . 397 30.8 Debugging and profiling backends . . . . . . . . . . . . . . . . . . . . . . . . . . 476 35.31 Execution latency, package loading and package precompiling time . . . . . . . . . 476 36 Workflow Tips 479 36.1 REPL-based workflow . . . . . . . . . . 1301 68 Delimited Files 1332 69 Distributed Computing 1337 69.1 Cluster Manager Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1355 70 Downloads 1359

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372 CONTENTS vi 29.7 System and Package Image Building . . . . . . . . . . . . . . . . . . . . . . . . . . 373 29.8 Debugging and profiling . . . . . . . . . . 1109 67 Delimited Files 1133 68 Distributed Computing 1138 68.1 Cluster Manager Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1154 69 Downloads 1158 System Image Building . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1568 102.14 Package Images . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1570 102.15 Working

environments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 350 Package directories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 353 . . . . . . . . . . . . 949 66 Delimited Files 951 67 Distributed Computing 957 67.1 Cluster Manager Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 970 68 Downloads 106New library functions 1369 107New library features 1371 108Standard library changes 1373 Package Manager . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1373 LinearAlgebra

environments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 348 Package directories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351 . . . . . . . . . . . . 944 66 Delimited Files 947 67 Distributed Computing 953 67.1 Cluster Manager Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 966 68 Downloads 106New library functions 1365 107New library features 1367 108Standard library changes 1369 Package Manager . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1370 LinearAlgebra

environments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 348 Package directories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351 . . . . . . . . . . . . 944 66 Delimited Files 947 67 Distributed Computing 953 67.1 Cluster Manager Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 966 68 Downloads 106New library functions 1365 107New library features 1367 108Standard library changes 1369 Package Manager . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1370 LinearAlgebra

. . . . . . . . . . 1087 66 Delimited Files 1111 67 Distributed Computing 1116 67.1 Cluster Manager Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1131 68 Downloads 1134 System Image Building . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1538 102.14 Package Images . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1540 102.15 Working acotd asecd acscd Special functions Many other special mathematical functions are provided by the package SpecialFunctions.jl. Chapter 6 Complex and Rational Numbers Julia includes predefined types for