Iterative statement

Iterative statements—Force the repetition of instructions depending on preset conditions. 

Control statements affect the flow of instructions within a program unit. (For control between units, see subprogram statements later.) These may be general, conditional, or iterative statements. General control statements are ... 

The iterative statement in FORTRAN is the DO statement (although others may be constructed using conditional statements and GOTOs), where... 

Conditional statements may be nested with other conditional statements and/ or with iterative statements. They are ... 

Iterative statements control how many times a simple statement or a compound statement is repeated, and also may be nested with conditional and/or other iterative statements. They may be... 

A while loop lets you repeatedly execute a statement (or group of statements) while some condition is true. It is the simplest iterative statement in C, but it is also very general. 

CONDUCT NEWTON-RAPHSON ITERATION (200 SERIES STATEMENTS). 

The program contains a do loop that iterates the statements within the loop until the condition (A — 1)<0 is true. Try moving the do statement around in the program to see what changes in the output. Explain. If you encounter an infinite loop, True BASIC has a STOP statement to get you out. 

Repeat each calculation after having inserted a counter" into Program QMOBAS to count the number of iterations. The statement ITER ITER 1 p I ac ed be fore th e G OTO 340 s tate m e ti t i n c I e tn e n ts th e co n te n ts of memory location ITHR, starting from zero, on each iteration. The statement PRINT ITER", ITHR prints out the accumulated numbei of itei ations at the etid of the progratn run, Cotnment on the number of itei atiotis needed to satisfy the htial nonn V I for tbe different Huckel MO calculations. 

Draw bond order and free valency index diagrams for the butadienyl system. Write a counter into program MOBAS to detemiine how many iterations are executed in solving for the allyl system. The number is not the same for all computers or operating systems. Change the convergence criterion (statement 300) to several different values and determine the number of iterations for each. 

Executable statements affecting the order in which the program instructions are executed include conditional (branching) statements, iterative (looping) statements, and statements which call subprogram units. 

Proof We prove this statement by showing that all trees rooted on cycles are equal to the tree rooted on the null configuration. Let A(x) represent the configuration that evolves into the null state after exactly t iterations i.e. T x)YA x) = 0 mod x — 1). Let R x) and be two states on the same cycle so that... 

Two-layer iteration schemes. The problem statement. In what follows it is required to solve a first kind equation of the form... 

Summarizing, the number of the iterations required during the course of MATM in an arbitrary complex domain is close to the number of the iterations performed for the same Dirichlet problem in a minimal rectangle containing the domain G and numerical realizations confirm this statement. 

The heating period begins with FLAG set initially to zero. When Xy > 1 then FLAG becomes 1, and the distillation period begins at statement 10. At each time interval the subroutine TCALC is used to make the iterative bubble point calculation. The component mass balance determines the removal of volatiles in the vapour, where the total molar flow rate, V, is determined from the energy balance. 

Note 2 The iterative solution in solving the ultimate frequency is tricky. The equation has poor numerical properties—arising from the fact that tan9 "jumps" from infinity at 9 = (ir/2) to negative infinity at 9 = (ir/2)+. To better see why, use MATLAB to make a plot of the function (LHS of the equation) with 9 < co < 1. With MATLAB, we can solve the equation with the f zero () function. Create an M-file named f. m, and enter these two statements in it ... 

Observe that we have in this procedure worked out some of the steps previously left to the THEOREM PROVER, The previous procedure involves having the progranmer select a set of inductive assertions and critical points, and then feed this into the computer parts a VERIFICATION CONDITION GENERATOR and a THEOREM PROVER. In this alternative construction we still need inductive assertions as the nature of the Rule of Iteration for WHILE statements shows. Now the inductive assertions are fed directly into the THEOREM PROVER which las been augmented by the special axioms and rules D0,D1,D2,D3 and D4 in addition to all of the usual arithmetic axioms, rules of inference, rules for handling identities and special axioms for the primitives in question (such as the factorial axioms in our example). In effect the THEOREM PROVER works backwards from the output condition and the various inductive assertions using DO - D3 to find what amounts to path verification conditions -... 

The commercially available software (Maximum Entropy Data Consultant Ltd, Cambridge, UK) allows reconstruction of the distribution a.(z) (or f(z)) which has the maximal entropy S subject to the constraint of the chi-squared value. The quantified version of this software has a full Bayesian approach and includes a precise statement of the accuracy of quantities of interest, i.e. position, surface and broadness of peaks in the distribution. The distributions are recovered by using an automatic stopping criterion for successive iterates, which is based on a Gaussian approximation of the likelihood. 

A. NODESET statement can also be used to reduce the number of iterations required for convergence. The DC voltage of a node can be specified by the user, and it will be used by SPICE in the initial guess of the simulation. This can greatly reduce the number of iterations that are required for convergence. 

Set 1 = 500 in the. OPTIONS statement. This setting increases the number of iterations that SPICE will perform before generating a nonconvergence warning and aborting the simulation. 

The error tolerance EP is set to the value EP = Xy lE-6, which is certainly smaller than the attainable accuracy based on the approximate equation (2.5). Due to the PRINT statement in the user supplied subroutine the program output is long, and only a few iterations are shown in Table 2.1. 

Two-layer iteration schemes. The problem statement. In what follows... 

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