PDF-[FREE]-Fortran codes for mathematical programming: linear, quadratic and discrete

The Desired Brand Effect Stand Out in a Saturated Market with a Timeless Brand. We start with the most general from that of time varying system matrices and 64257nite horizon 41 Time varying and 64257nite horizon case Consider the dynamical system 41 We are interested in 64257nding a control such that the following cost Kadin Tseng. Boston University. Scientific Computing and Visualization. Outline. Goals. Introduction . Fortran History. Basic syntax. Makefiles. Additional syntax. 2. Introduction to FORTRAN. Goals are to be able to . . .. Junchao. Zhang. Argonne National Laboratory. jczhang@anl.gov. Pavan Balaji. Argonne National Laboratory. balaji@anl.gov. Ken . Raffenetti. Argonne National Laboratory. raffenet@anl.gov. Bill. . Long. Doug Sondak. SCV. sondak@bu.edu. Outline. Goals. Introduction . Emacs. . Fortran History. Basic syntax. makefiles. Additional syntax . Goals. To be able to write simple Fortran programs. To be able to understand and modify existing Fortran code. Dr. Feng Gu. Way to study a system. . Cited from Simulation, Modeling & Analysis (3/e) by Law and . Kelton. , 2000, p. 4, Figure 1.1. Model taxonomy. Modeling formalisms and their simulators . Discrete time model and their simulators . Page 3. General equation of a quadratic:. Quadratic Formula:. Notice where the letters come from for the formula. We use the quadratic formula when something can not be factored. However, it also works for factorable quadratic equations as well.. KFUPM - Prep Year Math Program (c) 20013 All Right Reserved. . Quadratic Equations . . Solving . Quadratic Equation. . . The . Discriminant. . Equations . that Quadratic in Form . Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph . Vertical y=x. 2. or Horizontal x=y. 2. Positive Negative . Summary: The of a Quadratic Function is U shaped. . Positve. Recall, we have used the quadratic formula previously. Gives the location of the roots (x-intercepts) of the graph of a parabola. Function must be in standard form; f(x) = ax. 2. + . bx. + c. Example. Find the roots for the function f(x) = 2x. Background. Developed by IBM in the 1950s . Designed for use in scientific and engineering fields. Originally written as FORTRAN. Convention is caps up to FORTRAN77. Title caps for Fortran 90 forward. Prepared by: . Sisi. Liu (Garnet). Mentor: Dan Nagle. Co-Mentor: . Davide. del Vento . 1. Background: Fortran-C Interoperability. Scientific . programs supported by the large systems at NCAR are often written in a combination of Fortran and . FORTRAN 0. 1954; First High Level Language. FORTRAN I. 1957; . First . Compiled Language. FORTRAN II 1958. 1958; Independent Subroutines. FORTRAN IV 1960. 1960; Most Used Version. FORTRAN 66. 1966-67; First Standard. Junchao. Zhang. Argonne National Laboratory. jczhang@anl.gov. Pavan Balaji. Argonne National Laboratory. balaji@anl.gov. Ken . Raffenetti. Argonne National Laboratory. raffenet@anl.gov. Bill. . Long. ACT. Objectives . F-IF.4: For . a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. .