src/algebra/strap/MTSCAT.lsp


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(/VERSIONCHECK 2) 

(DEFPARAMETER |MultivariateTaylorSeriesCategory;CAT| 'NIL) 

(DEFPARAMETER |MultivariateTaylorSeriesCategory;AL| 'NIL) 

(DEFUN |MultivariateTaylorSeriesCategory|
       (&REST #0=#:G1399 &AUX #1=#:G1397)
  (DSETQ #1# #0#)
  (LET (#2=#:G1398)
    (COND
      ((SETQ #2#
             (|assoc| (|devaluateList| #1#)
                      |MultivariateTaylorSeriesCategory;AL|))
       (CDR #2#))
      (T (SETQ |MultivariateTaylorSeriesCategory;AL|
               (|cons5| (CONS (|devaluateList| #1#)
                              (SETQ #2#
                                    (APPLY
                                     #'|MultivariateTaylorSeriesCategory;|
                                     #1#)))
                        |MultivariateTaylorSeriesCategory;AL|))
         #2#)))) 

(DEFUN |MultivariateTaylorSeriesCategory;| (|t#1| |t#2|)
  (PROG (#0=#:G1396)
    (RETURN
      (PROG1 (LETT #0#
                   (|sublisV|
                       (PAIR '(|t#1| |t#2|)
                             (LIST (|devaluate| |t#1|)
                                   (|devaluate| |t#2|)))
                       (|sublisV|
                           (PAIR '(#1=#:G1395)
                                 (LIST '(|IndexedExponents| |t#2|)))
                           (COND
                             (|MultivariateTaylorSeriesCategory;CAT|)
                             ('T
                              (LETT |MultivariateTaylorSeriesCategory;CAT|
                                    (|Join|
                                     (|PartialDifferentialRing| '|t#2|)
                                     (|PowerSeriesCategory| '|t#1| '#1#
                                      '|t#2|)
                                     (|InnerEvalable| '|t#2| '$)
                                     (|Evalable| '$)
                                     (|mkCategory| '|domain|
                                      '(((|coefficient|
                                          ($ $ |t#2|
                                           (|NonNegativeInteger|)))
                                         T)
                                        ((|coefficient|
                                          ($ $ (|List| |t#2|)
                                           (|List|
                                            (|NonNegativeInteger|))))
                                         T)
                                        ((|extend|
                                          ($ $ (|NonNegativeInteger|)))
                                         T)
                                        ((|monomial|
                                          ($ $ |t#2|
                                           (|NonNegativeInteger|)))
                                         T)
                                        ((|monomial|
                                          ($ $ (|List| |t#2|)
                                           (|List|
                                            (|NonNegativeInteger|))))
                                         T)
                                        ((|order|
                                          ((|NonNegativeInteger|) $
                                           |t#2|))
                                         T)
                                        ((|order|
                                          ((|NonNegativeInteger|) $
                                           |t#2|
                                           (|NonNegativeInteger|)))
                                         T)
                                        ((|polynomial|
                                          ((|Polynomial| |t#1|) $
                                           (|NonNegativeInteger|)))
                                         T)
                                        ((|polynomial|
                                          ((|Polynomial| |t#1|) $
                                           (|NonNegativeInteger|)
                                           (|NonNegativeInteger|)))
                                         T)
                                        ((|integrate| ($ $ |t#2|))
                                         (|has| |t#1|
                                          (|Algebra|
                                           (|Fraction| (|Integer|))))))
                                      '(((|RadicalCategory|)
                                         (|has| |t#1|
                                          (|Algebra|
                                           (|Fraction| (|Integer|)))))
                                        ((|TranscendentalFunctionCategory|)
                                         (|has| |t#1|
                                          (|Algebra|
                                           (|Fraction| (|Integer|))))))
                                      '((|Polynomial| |t#1|)
                                        (|NonNegativeInteger|)
                                        (|List| |t#2|)
                                        (|List| (|NonNegativeInteger|)))
                                      NIL))
                                    . #2=(|MultivariateTaylorSeriesCategory|)))))) . #2#)
        (SETELT #0# 0
                (LIST '|MultivariateTaylorSeriesCategory|
                      (|devaluate| |t#1|) (|devaluate| |t#2|))))))) 

(SETQ |$CategoryFrame|
      (|put| '|MultivariateTaylorSeriesCategory| '|isCategory| T
             (|addModemap| '|MultivariateTaylorSeriesCategory|
                 '(|MultivariateTaylorSeriesCategory| |#1| |#2|)
                 '((|Category|) (|Ring|) (|OrderedSet|)) T
                 '|MultivariateTaylorSeriesCategory| |$CategoryFrame|)))