. . . . . . . . . . . . . . . 18 8 External dependencies 19 i ii CONTENTS III Manual 21 9 Ge�ng Started 23 9.1 Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 11 Integers and Floa�ng-Point Numbers 31 11.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 11.2 Floa�ng-Point Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Floa�ng-point zero . . . . . . . . . . . . . . . . .

. 18 8 External dependencies 19 i ii CONTENTS 9 Deprecated or removed 21 III Manual 23 10 Ge�ng Started 25 10.1 Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 12 Integers and Floa�ng-Point Numbers 33 12.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 12.2 Floa�ng-Point Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Floa�ng-point zero . . . . . . . . . . . . . . . . .

Deprecated or removed 19 9 External dependencies 21 10 Tooling Improvements 23 III Manual 25 11 Ge�ng Started 27 11.1 Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 13 Integers and Floa�ng-Point Numbers 35 13.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 13.2 Floa�ng-Point Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Floa�ng-point zero . . . . . . . . . . . . . . . . .

. 18 i ii CONTENTS 8 External dependencies 19 9 Tooling Improvements 21 III Manual 23 10 Ge�ng Started 25 10.1 Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 12 Integers and Floa�ng-Point Numbers 33 12.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 12.2 Floa�ng-Point Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Floa�ng-point zero . . . . . . . . . . . . . . . . .

. 16 7 External dependencies 17 8 Deprecated or removed 19 i ii CONTENTS III Manual 21 9 Ge�ng Started 23 9.1 Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 11 Integers and Floa�ng-Point Numbers 31 11.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 11.2 Floa�ng-Point Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Floa�ng-point zero . . . . . . . . . . . . . . . . .

. 16 7 External dependencies 17 8 Deprecated or removed 19 i ii CONTENTS III Manual 21 9 Ge�ng Started 23 9.1 Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 11 Integers and Floa�ng-Point Numbers 31 11.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 11.2 Floa�ng-Point Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Floa�ng-point zero . . . . . . . . . . . . . . . . .

reasoning about types; Julia simply exposes it to the programmer. The Julia compiler is able to generate efficient code in the presence of Union types with a small number of types 1, by generating specialized ability to abstractly express high-level algorithms decoupled from implementation details, yet generate efficient, specialized code to handle each case at run time. 12.2 Method Ambiguities It is possible = myfilter(A, kernel, Replicate()) # replicate the edge by default Together, these two methods generate an infinite recursion with A constantly growing bigger. The better design would be to define your

reasoning about types; Julia simply exposes it to the programmer. The Julia compiler is able to generate efficient code in the presence of Union types with a small number of types 1, by generating specialized ability to abstractly express high-level algorithms decoupled from implementation details, yet generate efficient, specialized code to handle each case at run time. 12.2 Method Ambiguities It is possible = myfilter(A, kernel, Replicate()) # replicate the edge by default Together, these two methods generate an infinite recursion with A constantly growing bigger. The better design would be to define your

reasoning about types; Julia simply exposes it to the programmer. The Julia compiler is able to generate efficient code in the presence of Union types with a small number of types 1, by generating specialized ability to abstractly express high-level algorithms decoupled from implementation details, yet generate efficient, specialized code to handle each case at run time. 12.2 Method Ambiguities It is possible = myfilter(A, kernel, Replicate()) # replicate the edge by default Together, these two methods generate an infinite recursion with A constantly growing bigger. The better design would be to define your

reasoning about types; Julia simply exposes it to the programmer. The Julia compiler is able to generate efficient code in the presence of Union types with a small number of types 1, by generating specialized ability to abstractly express high-level algorithms decoupled from implementation details, yet generate efficient, specialized code to handle each case at run time. 12.2 Method Ambiguities It is possible = myfilter(A, kernel, Replicate()) # replicate the edge by default Together, these two methods generate an infinite recursion with A constantly growing bigger. The better design would be to define your