By Zhang Q.

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**Extra resources for A BMO estimate for the multilinear singular integral operator**

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E13) STEP2() := INITIAL MAKELIST( [Y = Z ], I, I 50 I a, N - 1) (E14) DERIV(G) :: DIFF(G, X) + SUM(DIFF(G, Y ) Y I , I, 1+1 0, N - 2) + DIFF(G, Y N - (E15) EVALUATE(G) :: EV(G, X : a, ) F 1 INITIAL) (E16) OUTPUT() ::= PRINT ( "Y :=", U) (D16) DONE Once again the main function SOLUTION begins by calling a function named INPUT which this time reads. •• , Y[N-l]. Then a function named STEPI uses the initial conditions to generate the first N terms of the Taylor series sOlution U. Next STEP2 prepares a list of the initial conditions (using the MACSYMA command MAKELIST), to be stored in the variable INITIAL, and to be used in the function EVALUATE.

C5) This time SAVE([TEST,MAC],GO) works, cf. (C3) in. the previous run. Example 2. WRITEFILE and CLOSEFILE In this run we start the MACSYMA session with a WRITEFILE command, then make the same assignments as in the previous example. "i (D3) This is a test. RHR-RAND-RICHARD] Note the syntax of the WRITEFILE and CLOSEFILE commands. The resulting file was named TEST. TXT in the CLOSEFILE command. "; (D3) This is a test. (C4) CLOSEFILE(TEST,TXT); A convenient procedure for recording a session which you chose not to begin with a WRITEFILE command is to give the WRITEFILE command at any time, followed by the command PLAYBACK().

CI8) A check. 30 2 Housekeeping in MACSYMA In this chapter we shall discuss some practical questions about how to work with MACSYMA. None of this is really part of computer algebra, but you have to know it to be able to use MACSYMA ~fficiently. The topics which follow are: disk files, special keys, and the editor. Disk Files There are several distinct schemes for saving disk files in MACSYMA, each with its own purpose: 1) To save function definitions or variable values, to be reloaded into a future MACSYMA.

### A BMO estimate for the multilinear singular integral operator by Zhang Q.

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