~trn/reduce-algebra

678bd44e8de431bdd2f3b9b6ad36fcaffb940105 — Jeffrey H. Johnson 14 days ago e8acca6 + 4342fd5
Merge branch 'svn/trunk'
R reduce2/buildpsl.sh => reduce2/buildpsl2.sh +3 -1
@@ 1,6 1,6 @@
#! /bin/bash -v

bare-psl <<'XX' | tee buildpsl.log
bare-psl <<'XX' | tee buildpsl2.log

% The mess here is because I want to be able to define some functions
% for use in the reduce sources so that they match historical versions -


@@ 36,6 36,8 @@ bare-psl <<'XX' | tee buildpsl.log

(de stop (x) (exitlisp))

(de compute-prompt-string (x y) "")

(global '(nameChanges))

(de redefiner (name bvl body)

M reduce2/reduce.lsp => reduce2/reduce.lsp +2 -0
@@ 4418,6 4418,7 @@ er  (errpri2 (car u) 'hold)
(de matp (u) (nsp u 'matrix))

(put 'mat 'matfn 'matfn)
(flag '(mat) 'matfn)

(put 'tp 'matfn 'tp)



@@ 5070,6 5071,7 @@ c   (setq x (not x))
    (cond (z (setq u (cons 'a u))))
    (cond
      ((get l 'nospur) (go a))
      ((null u) (go end1))
      ((or
         (and (eq (car u) 'a) (or (lessp (length u) 5) (!*evenp u)))
         (and (not (eq (car u) 'a)) (not (!*evenp u))))

M reduce2/reduce.red.patched => reduce2/reduce.red.patched +1 -0
@@ 5570,6 5570,7 @@ SYMBOLIC PROCEDURE SPUR0(U,I,V1,V2,V3);
	U := REVERSE CDDR U;
	IF Z THEN U := 'A . U;	%gamma5 remains;
	IF GET(L,'NOSPUR) THEN GO TO A
        ELSE IF NULL U THEN GO TO END1
	ELSE IF (CAR U EQ 'A AND (LENGTH U<5 OR EVENP U))
	        OR (NOT (CAR U EQ 'A) AND NOT EVENP U)
	 THEN RETURN NIL

M reduce2/testpsl2.sh => reduce2/testpsl2.sh +10 -3
@@ 2,6 2,8 @@

time $pxk/bpsl -td 1000 -f redpsl2.img <<'XX' | tee testpsl2.log
(begin)

on echo; off int;
                                                                                
COMMENT SOME EXAMPLES OF THE  F O R  STATEMENT;                                 
                                                                                


@@ 126,7 128,10 @@ WRITE "THE COMPTON CROSS-SECTION IS ",!*ANS;
COMMENT END OF FIRST PHYSICS EXAMPLE;                                           
                                                                                
OFF DIV;                                                                        
                                                                                

off usermode;
ON backtrace;
VECTOR P1,P3;       
COMMENT ANOTHER PHYSICS EXAMPLE;                                                
FACTOR MM,P1.P3;                                                                
INDEX X1,Y1,Z;                                                                  


@@ 156,7 161,8 @@ OFF MSG$ ON NERO$
                                                                                
COMMENT HERE WE INTRODUCE THE COVARIANT AND CONTRAVARIANT METRICS;              
                                                                                
ARRAY GG(3,3),H(3,3),X(3)$                                                      
OPERATOR P1,Q1,X$
ARRAY GG(3,3),H(3,3)$                                                      
FOR I:=0:3 DO FOR J:=0:3 DO GG(I,J):=H(I,J):=0$                                 
GG(0,0):=E**(Q1(X(1)))$                                                         
GG(1,1):=-E**(P1(X(1)))$                                                        


@@ 170,11 176,12 @@ COMMENT GENERATE CHRISTOFFEL SYMBOLS AND STORE IN ARRAYS
      CS1 AND CS2;                                                              
                                                                                
ARRAY CS1(3,3,3)$                                                               
symbolic tr(simpdf,simpcar,kernp,diffsq,diffp);
FOR I:=0:3 DO  FOR J:=I:3                                                       
   DO  FOR K:=0:3 DO                                                            
       CS1(J,I,K) := CS1(I,J,K):=(DF(GG(I,K),X(J))+DF(GG(J,K),X(I))             
       -DF(GG(I,J),X(K)))/2$                                                    
                                                                                
t                                                                                
                                                                                
ARRAY CS2(3,3,3)$                                                               
FOR I:= 0:3 DO  FOR J:=I:3                                                      

M web/htdocs/about.php => web/htdocs/about.php +3 -3
@@ 1,6 1,6 @@
<?php
$header_title = 'History and Contributors';
include 'include/begin-head.php';
include './include/begin-head.php';
?>

<style type="text/css">


@@ 10,7 10,7 @@ include 'include/begin-head.php';
</style>

<?php
include 'include/begin-body.php';
include './include/begin-body.php';
?>

<h2>A brief history of REDUCE</h2>


@@ 90,7 90,7 @@ include 'include/begin-body.php';
</div><!-- opened in begin-body.php -->

<?php
include 'include/footer.php';
include './include/footer.php';
?>

</body>

M web/htdocs/bibliography.php => web/htdocs/bibliography.php +2225 -2217
@@ 1,7 1,7 @@
<?php
$header_title = 'Bibliography';
include 'include/begin-head.php';
include 'include/begin-body.php';
include './include/begin-head.php';
include './include/begin-body.php';
?>

<p>


@@ 9,2247 9,2251 @@ include 'include/begin-body.php';
    sorted by first-author surname.
</p>

<nav class="nav nav-tabs" id="TabbedHeader" role="tablist">
<!-- See https://getbootstrap.com/docs/5.0/components/navs-tabs/#javascript-behavior -->

<nav>
    <div class="nav nav-tabs" id="TabbedHeader" role="tablist"></div>
</nav>

<div class="tab-content" id="TabbedContent">
<dl id='A'>
    <dt id="Abbott:87a">[Abbott:87a] J.&nbsp;A. Abbott.</dt>
    <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_155">Integration: Solving the Risch differential equation</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 465-467. Springer-Verlag, 1987.</dd>
    <dt id="Abbott:88">[Abbott:88] J.&nbsp;A. Abbott.</dt>
    <dd><em>Factorisation of Polynomials over Algebraic Number Fields</em>. PhD thesis, Univ. of Bath, England, 1988.</dd>
    <dt id="Abbott:89">[Abbott:89] J.&nbsp;A. Abbott.</dt>
    <dd><a href="http://doi.acm.org/10.1145/74540.74555">Recovery of algebraic numbers from their p-adic approximations</a>. In: <em>Proc. of ISSAC &apos;89</em>, pages 112-120. ACM Press, New York, 1989.</dd>
    <dt id="Abbott:85">[Abbott:85] J.&nbsp;A. Abbott, R.&nbsp;J. Bradford, and J.&nbsp;H. Davenport.</dt>
    <dd><a href="http://doi.acm.org/10.1145/1089402.1089408">A remark on factorisation</a>. <em>SIGSAM Bulletin</em> <strong>19</strong> no. 2, pages 31-33, May 1985.</dd>
    <dt id="Abbott:86">[Abbott:86] J.&nbsp;A. Abbott, R.&nbsp;J. Bradford, and J.&nbsp;H. Davenport.</dt>
    <dd><a href="http://doi.acm.org/10.1145/32439.32490">The Bath algebraic number package</a>. In: <em>SYMSAC &apos;86: Proceedings of the fifth ACM symposium on Symbolic and algebraic computation</em>, pages 250-253, New York, NY, USA, 1986. ACM.</dd>
    <dt id="Abbott:89a">[Abbott:89a] J.&nbsp;A. Abbott, R.&nbsp;J. Bradford, and J.&nbsp;H. Davenport.</dt>
    <dd>A remark on the multiplication of sparse polynomials. Technical Report TR 89-21, School of Mathematical Sciences, University of Bath, 1989.</dd>
    <dt id="Abbott:87">[Abbott:87] J.&nbsp;A. Abbott and J.&nbsp;H. Davenport.</dt>
    <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_144">Polynomial factorization: An exploration of Lenstra&apos;s algorithm</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 391-402. Springer-Verlag, 1987.</dd>
    <dt id="Abbott:88a">[Abbott:88a] J.&nbsp;A. Abbott and J.&nbsp;H. Davenport.</dt>
    <dd>A remark on a paper by Wang: Another surprising property of 42. <em>Math. Comp.</em> <strong>51</strong>, pages 837-839, 1988.</dd>
    <dt id="Abbott:98">[Abbott:98] John&nbsp;A. Abbott, Andr&eacute; van Leeuwen, and Andreas Strotmann.</dt>
    <dd><a href="http://people.brunel.ac.uk/~hssrjis/issue/Volume%208%20%20Abstracts/j834p4~1.htm">OpenMath: communicating mathematical information between co-operating agents in a knowledge network</a>. <em>Journal of Intelligent Systems</em> <strong>8</strong> no. 3/4, 1998.</dd>
    <dt id="Abdali:88">[Abdali:88] S.&nbsp;K. Abdali and D.&nbsp;S. Wise.</dt>
    <dd><a href="http://dx.doi.org/10.1007/3-540-51084-2_9">Experiments with quadtree representation of matrices</a>. In: <em>Proc. of ISSAC &apos;88</em>, volume 358, pages 96-108. Springer-Verlag, 1988.</dd>
    <dt id="Abiezzi:83">[Abiezzi:83] Salim&nbsp;S. Abi-Ezzi.</dt>
    <dd><a href="http://doi.acm.org/10.1145/1089338.1089345">Clarification to the symbolic mode in REDUCE</a>. <em>SIGSAM Bulletin</em> <strong>17</strong> no. 3 and 4, pages 43-47, August and November 1983.</dd>
    <dt id="Abramov:91">[Abramov:91] S.&nbsp;A. Abramov and K.&nbsp;Yu. Kvansenko.</dt>
    <dd><a href="http://doi.acm.org/10.1145/120694.120735">Fast algorithms to search for the rational solutions of linear differential equations with polynomial coefficients</a>. In: Stephen&nbsp;M. Watt, editor, <em>Proc. of the 1991 International Symposium on Symbolic and Algebraic Computation</em>, pages 267-270, Maryland, 1991. ACM Press.</dd>
    <dt id="Abramov:91a">[Abramov:91a] S.&nbsp;A. Abramov and K.&nbsp;Yu. Kvashenko.</dt>
    <dd>Fast search of a certain type solutions of linear ordinary differential equations with polynomial coefficients. Technical report, Computer Center of the USSR, Academy of Science, Moscow, 1991.</dd>
    <dt id="Adamchik90">[Adamchik90] V.&nbsp;S. Adamchik and O.&nbsp;I. Marichev.</dt>
    <dd><a href="http://doi.acm.org/10.1145/96877.96930">The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system</a>. In: S.&nbsp;Watanabe and Morio Nagata, editors, <em>Proceedings of the 1990 International Symposium on Symbolic and Algebraic Computation</em>, pages 212-224. ACM, Addison-Wesley, 1990.</dd>
    <dt id="Adams:83">[Adams:83] K.&nbsp;J. Adams.</dt>
    <dd><a href="http://dx.doi.org/10.1109/TNS.1983.4332839">Analytic estimates for the dynamic aperture of nonlinear lattices</a>. <em>IEEE Trans. Nucl. Sci.</em>
        <strong>30</strong> no. 4, pages 2436-2438, August 1983.</dd>
    <dt id="Adkins:83">[Adkins:83] G.&nbsp;S. Adkins.</dt>
    <dd><a href="http://link.aps.org/doi/10.1103/PhysRevA.27.530">Analytic evaluation of an O(&alpha;) vertex correction to the rate of orthopositronium</a>. <em>Phys. Rev. A</em> <strong>27</strong> no. 1, pages 530-532, 1983.</dd>
    <dt id="Adkins:85">[Adkins:85] G.&nbsp;S. Adkins.</dt>
    <dd><a href="http://link.aps.org/doi/10.1103/PhysRevA.31.1250">Inner-vertex contributions to the decay rate of orthopositronium</a>. <em>Phys. Rev. A</em> <strong>31</strong> no. 3, pages 1250-1252, 1985.</dd>
    <dt id="Adkins:83a">[Adkins:83a] G.&nbsp;S. Adkins and F.&nbsp;R. Brown.</dt>
    <dd><a href="http://link.aps.org/doi/10.1103/PhysRevA.28.1164">Rate for positronium decay to five photons</a>. <em>Phys. Rev. A</em> <strong>28</strong> no. 2, pages 1164-1165, 1983.</dd>
    <dt id="Aguilera-Navarro:87">[Aguilera-Navarro:87] V.&nbsp;C. Aguilera-Navarro, R.&nbsp;Guardiola, C.&nbsp;Keller, M.&nbsp;de&nbsp;Llano, M.&nbsp;Popovic, and M.&nbsp;Fortes.</dt>
    <dd><a href="http://link.aps.org/doi/10.1103/PhysRevA.35.3901">Van der Waals perturbation theory for fermion and boson ground-state matter</a>. <em>Phys. Rev. A</em> <strong>35</strong> no. 9, pages 3901-3910, 1987.</dd>
    <dt id="Akselrod:90">[Akselrod:90] I.R. Akselrod, V.P. Gerdt, V.E. Kovtun, and V.N. Robuk.</dt>
    <dd>Construction of a Lie algebra by a subset of generators and commutation relations. Preprint E5-90-508, J.I.N.R., 1990.</dd>
    <dt id="Aldins:69">[Aldins:69] J.&nbsp;Aldins, S.&nbsp;J. Brodsky, A.&nbsp;J. Dufner, and T.&nbsp;Kinoshita.</dt>
    <dd><a href="http://link.aps.org/doi/10.1103/PhysRevLett.23.441">Photon-photon scattering contribution to the sixth order magnetic moments of the muon and electron</a>. <em>Physical Review Letters</em> <strong>23</strong> no. 8, pages 441-443, 1969.</dd>
    <dt id="Alekseev:86">[Alekseev:86] A.&nbsp;I. Alekseev and V.&nbsp;F. Edneral.</dt>
    <dd>Tensor structure of axial gauge polarization operator in the infrared region. Preprint 86-46, IHEP, 1986.</dd>
    <dt id="Alekseev:87a">[Alekseev:87a] A.&nbsp;I. Alekseev and V.&nbsp;F. Edneral.</dt>
    <dd>On evaluation of Feynman integrals in axial gauge. Preprint 87-118, IHEP, 1987.</dd>
    <dt id="Alekseev:87">[Alekseev:87] A.&nbsp;I. Alekseev and V.&nbsp;F. Edneral.</dt>
    <dd>Tensor structure of gluon polarization operator in the axial gauge for infra-red region. <em>Journal of Nuclear Physics</em> pages 1105-1114, 1987.</dd>
    <dt id="Alfeld:82">[Alfeld:82] P.&nbsp;Alfeld.</dt>
    <dd>Fixed point iteration with inexact function values. <em>Math. Comp.</em> <strong>38</strong>, pages 87-98, 1982.</dd>
    <dt id="Amirkhanov:87">[Amirkhanov:87] I.&nbsp;V. Amirkhanov, E.&nbsp;P. Zhidkov, and I.&nbsp;E. Zhidkova.</dt>
    <dd>The conditions of bounding of the oscillation amplitudes of charge particle within the resonance vicinity investigations. Technical Report P11-87-452, J.I.N.R., Dubna, 1987.</dd>
    <dt id="Amirkhanov:91">[Amirkhanov:91] I.V. Amirkhanov, E.P. Zhidkov, and I.E. Zhidkova.</dt>
    <dd><a href="http://doi.acm.org/10.1145/120694.120767">The betatron oscillations in the vicinity of nonlinear resonance in cyclic accelerator investigation</a>. In: Stephen&nbsp;M. Watt, editor, <em>Proc. of the 1991 International Symposium on Symbolic and Algebraic Computation</em>, pages 452-453, Maryland, 1991. ACM Press.</dd>
    <dt id="Anco:04a">[Anco:04a] S.&nbsp;Anco and T.&nbsp;Wolf.</dt>
    <dd><a href="http://www.atlantis-press.com/php/download_paper.php?id=477">Some symmetry classifications of hyperbolic vector evolution equations</a>. <em>JNMP</em> <strong>12</strong> no. Supplement 1, pages 13-31, 2005. preprint nlin.SI/0412015.</dd>
    <dt id="Antweiler:89">[Antweiler:89] Werner Antweiler, Andreas Strotmann, and Volker Winkelmann.</dt>
    <dd><a href="http://doi.acm.org/10.1145/70936.70940">A TeX-REDUCE-interface</a>. <em>SIGSAM Bulletin</em> <strong>23</strong> no. 2, pages 26-33, February 1989.</dd>
    <dt id="Appelquist:70">[Appelquist:70] T.&nbsp;W. Appelquist and S.&nbsp;J. Brodsky.</dt>
    <dd><a href="http://link.aps.org/doi/10.1103/PhysRevLett.24.562">The order &alpha;<sup>2</sup> electrodynamic corrections to the Lamb shift</a>. <em>Physical Review Letters</em> <strong>24</strong> no. 11, pages 562-565, 1970.</dd>
    <dt id="Arbuzov:86">[Arbuzov:86] B.&nbsp;A. Arbuzov, E.&nbsp;E. Boos, and A.&nbsp;I. Davydychev.</dt>
    <dd>Infrared asymptotics of gluonic Green functions in covariant gauge. Preprint 86-123, IHEP, 1986.</dd>
    <dt id="Arous:93">[Arous:93] Gerard&nbsp;Ben Arous, Michael Cranston, and Wilfrid&nbsp;S. Kendall.</dt>
    <dd>Coupling constructions for hypoelliptic diffusions: Two examples. Research Report 261, University of Warwick, Dept. of Statistics, October 1993.</dd>
    <dt id="AskeyWilson:85">[AskeyWilson:85] R.&nbsp;Askey and J.&nbsp;Wilson.</dt>
    <dd>Some basic hypergeometric orthogonal polynomials that generalize jacobi polynomials. <em>Memoirs Amer. Math. Soc.</em> <strong>54</strong> no. 319, March 1985.</dd>
    <dt id="Aso:81">[Aso:81] T.&nbsp;Aso, T.&nbsp;Nonoyama, and S.&nbsp;Kato.</dt>
    <dd><a href="http://dx.doi.org/10.1029/JA086iA13p11388">Numerical simulation of semidiurnal atmospheric tides</a>. <em>J. Geophys. Res.</em> <strong>86</strong> no. 11, pages 388-400, 1981.</dd>
    <dt id="Atherton:73">[Atherton:73] R.&nbsp;W. Atherton and G.&nbsp;M. Homsey.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0021-9991(73)90124-1">Use of symbolic computation to generate evolution equations and asymptotic solutions to elliptic equations</a>. <em>Journal of Computational Physics</em> <strong>13</strong> no. 1, pages 45-59, 1973.</dd>
    <dt id="Atkinson:08">[Atkinson:08] James Atkinson, Jarmo Hietarinta, and Frank Nijhoff.</dt>
    <dd><a href="http://arxiv.org/abs/0801.0806">Soliton solutions for Q3</a>. <em>Journal of Physics A: Mathematical and Theoretical</em> <strong>41</strong> no. 14, pages 1-11, April 2008.</dd>
    <dt id="Audoly:98">[Audoly:98] S.&nbsp;Audoly, L.&nbsp;D&apos;Angi&ograve;, M.P. Saccomani, and C.&nbsp;Cobelli.</dt>
    <dd><a href="http://dx.doi.org/10.1109/10.650350">Global identifiability of linear compartmental models. A computer algebra algorithm</a>. <em>IEEE Trans. Biomedical Engineering</em> <strong>45</strong> no. 1, pages 36-47, 1998.</dd>
    <dt id="Aurenche:84">[Aurenche:84] P.&nbsp;Aurenche, A.&nbsp;Douir, R.&nbsp;Baier, M.&nbsp;Fontannaz, and D.&nbsp;Schiff.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0370-2693(84)90475-1">Photoproduction of hadrons at large transverse momentum in second order QCD</a>. <em>Physics Letters B</em> <strong>135</strong> no. 1-3, pages 164-168, 1984.</dd>
    <dt id="Aurenche:84a">[Aurenche:84a] P.&nbsp;Aurenche, A.&nbsp;Douir, R.&nbsp;Baier, M.&nbsp;Fontannaz, and D.&nbsp;Schiff.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0370-2693(84)91053-0">Prompt photon production at large p<sub>T</sub> in GCD beyond the leading order</a>. <em>Physics Letters B</em> <strong>140</strong> no. 1, pages 87-92, 1984.</dd>
    <dt id="Autin:89">[Autin:89] B.&nbsp;Autin and J.&nbsp;Bengtsson.</dt>
    <dd><a href="http://dx.doi.org/10.1016/S0747-7171(89)80050-1">Symbolic evaluation of integrals occurring in accelerator orbit theory</a>. <em>Journal of Symbolic Computation</em> <strong>7</strong> no. 2, pages 183-187, February 1989.</dd>
</dl>
    <dl id='A'>
        <dt id="Abbott:87a">[Abbott:87a] J.&nbsp;A. Abbott.</dt>
        <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_155">Integration: Solving the Risch differential equation</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 465-467. Springer-Verlag, 1987.</dd>
        <dt id="Abbott:88">[Abbott:88] J.&nbsp;A. Abbott.</dt>
        <dd><em>Factorisation of Polynomials over Algebraic Number Fields</em>. PhD thesis, Univ. of Bath, England, 1988.</dd>
        <dt id="Abbott:89">[Abbott:89] J.&nbsp;A. Abbott.</dt>
        <dd><a href="http://doi.acm.org/10.1145/74540.74555">Recovery of algebraic numbers from their p-adic approximations</a>. In: <em>Proc. of ISSAC &apos;89</em>, pages 112-120. ACM Press, New York, 1989.</dd>
        <dt id="Abbott:85">[Abbott:85] J.&nbsp;A. Abbott, R.&nbsp;J. Bradford, and J.&nbsp;H. Davenport.</dt>
        <dd><a href="http://doi.acm.org/10.1145/1089402.1089408">A remark on factorisation</a>. <em>SIGSAM Bulletin</em> <strong>19</strong> no. 2, pages 31-33, May 1985.</dd>
        <dt id="Abbott:86">[Abbott:86] J.&nbsp;A. Abbott, R.&nbsp;J. Bradford, and J.&nbsp;H. Davenport.</dt>
        <dd><a href="http://doi.acm.org/10.1145/32439.32490">The Bath algebraic number package</a>. In: <em>SYMSAC &apos;86: Proceedings of the fifth ACM symposium on Symbolic and algebraic computation</em>, pages 250-253, New York, NY, USA, 1986. ACM.</dd>
        <dt id="Abbott:89a">[Abbott:89a] J.&nbsp;A. Abbott, R.&nbsp;J. Bradford, and J.&nbsp;H. Davenport.</dt>
        <dd>A remark on the multiplication of sparse polynomials. Technical Report TR 89-21, School of Mathematical Sciences, University of Bath, 1989.</dd>
        <dt id="Abbott:87">[Abbott:87] J.&nbsp;A. Abbott and J.&nbsp;H. Davenport.</dt>
        <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_144">Polynomial factorization: An exploration of Lenstra&apos;s algorithm</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 391-402. Springer-Verlag, 1987.</dd>
        <dt id="Abbott:88a">[Abbott:88a] J.&nbsp;A. Abbott and J.&nbsp;H. Davenport.</dt>
        <dd>A remark on a paper by Wang: Another surprising property of 42. <em>Math. Comp.</em> <strong>51</strong>, pages 837-839, 1988.</dd>
        <dt id="Abbott:98">[Abbott:98] John&nbsp;A. Abbott, Andr&eacute; van Leeuwen, and Andreas Strotmann.</dt>
        <dd><a href="http://people.brunel.ac.uk/~hssrjis/issue/Volume%208%20%20Abstracts/j834p4~1.htm">OpenMath: communicating mathematical information between co-operating agents in a knowledge network</a>. <em>Journal of Intelligent Systems</em> <strong>8</strong> no. 3/4, 1998.</dd>
        <dt id="Abdali:88">[Abdali:88] S.&nbsp;K. Abdali and D.&nbsp;S. Wise.</dt>
        <dd><a href="http://dx.doi.org/10.1007/3-540-51084-2_9">Experiments with quadtree representation of matrices</a>. In: <em>Proc. of ISSAC &apos;88</em>, volume 358, pages 96-108. Springer-Verlag, 1988.</dd>
        <dt id="Abiezzi:83">[Abiezzi:83] Salim&nbsp;S. Abi-Ezzi.</dt>
        <dd><a href="http://doi.acm.org/10.1145/1089338.1089345">Clarification to the symbolic mode in REDUCE</a>. <em>SIGSAM Bulletin</em> <strong>17</strong> no. 3 and 4, pages 43-47, August and November 1983.</dd>
        <dt id="Abramov:91">[Abramov:91] S.&nbsp;A. Abramov and K.&nbsp;Yu. Kvansenko.</dt>
        <dd><a href="http://doi.acm.org/10.1145/120694.120735">Fast algorithms to search for the rational solutions of linear differential equations with polynomial coefficients</a>. In: Stephen&nbsp;M. Watt, editor, <em>Proc. of the 1991 International Symposium on Symbolic and Algebraic Computation</em>, pages 267-270, Maryland, 1991. ACM Press.</dd>
        <dt id="Abramov:91a">[Abramov:91a] S.&nbsp;A. Abramov and K.&nbsp;Yu. Kvashenko.</dt>
        <dd>Fast search of a certain type solutions of linear ordinary differential equations with polynomial coefficients. Technical report, Computer Center of the USSR, Academy of Science, Moscow, 1991.</dd>
        <dt id="Adamchik90">[Adamchik90] V.&nbsp;S. Adamchik and O.&nbsp;I. Marichev.</dt>
        <dd><a href="http://doi.acm.org/10.1145/96877.96930">The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system</a>. In: S.&nbsp;Watanabe and Morio Nagata, editors, <em>Proceedings of the 1990 International Symposium on Symbolic and Algebraic Computation</em>, pages 212-224. ACM, Addison-Wesley, 1990.</dd>
        <dt id="Adams:83">[Adams:83] K.&nbsp;J. Adams.</dt>
        <dd><a href="http://dx.doi.org/10.1109/TNS.1983.4332839">Analytic estimates for the dynamic aperture of nonlinear lattices</a>. <em>IEEE Trans. Nucl. Sci.</em>
            <strong>30</strong> no. 4, pages 2436-2438, August 1983.</dd>
        <dt id="Adkins:83">[Adkins:83] G.&nbsp;S. Adkins.</dt>
        <dd><a href="http://link.aps.org/doi/10.1103/PhysRevA.27.530">Analytic evaluation of an O(&alpha;) vertex correction to the rate of orthopositronium</a>. <em>Phys. Rev. A</em> <strong>27</strong> no. 1, pages 530-532, 1983.</dd>
        <dt id="Adkins:85">[Adkins:85] G.&nbsp;S. Adkins.</dt>
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        <dt id="Duval:87">[Duval:87] Dominique Duval.</dt>
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    </dl>

<dl id='E'>
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        <dt id="Eisenberger:90">[Eisenberger:90] Moshe Eisenberger.</dt>
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        <dt id="Eitelbach:73">[Eitelbach:73] D.&nbsp;L. Eitelbach.</dt>
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        <dd><a href="http://dx.doi.org/10.1016/0010-4655(85)90027-X">A REDUCE program for determining point and contact Lie symmetries of differential equations</a>. <em>Computer Physics Communications</em> <strong>36</strong> no. 4, pages 383-389, 1985.</dd>
        <dt id="Elishakoff:87a">[Elishakoff:87a] Isaac Elishakoff and Brian Couch.</dt>
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        <dt id="Elishakoff:87">[Elishakoff:87] Isaac Elishakoff and Joseph Hollkamp.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0045-7825(87)90088-0">Computerized symbolic solution for a nonconservative system in which instability occurs by flutter in one range of a parameter and by divergence in another</a>. <em>Comp. Methods in Applied Mechanics and Engineering</em> <strong>62</strong>, pages 27-46, 1987.</dd>
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        <dd>Algebraic computing and the Newman-Penrose formalism. <em>Computers in Physics</em> pages 285-290, May/June 1990.</dd>
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        <dd><a href="http://dx.doi.org/10.1023/A:1022838932176">Linearizable third order odes and generalised sundman transformations: The case x&apos;&apos;&apos;=0</a>. <em>Acta Applicandae Mathematicae</em> <strong>76</strong> no. 1, pages 89-115, March 2003.</dd>
</dl>
    <dl id='E'>
        <dt id="Earles:70">[Earles:70] D.&nbsp;Earles.</dt>
        <dd><a href="http://link.aps.org/doi/10.1103/PhysRevLett.25.129">A measurement of the electron-production of muon pairs</a>. <em>Physical Review Letters</em>
            <strong>25</strong> no. 2, pages 129-133, 1970.</dd>
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        <dt id="Eastwood:91">[Eastwood:91] James&nbsp;W. Eastwood.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0010-4655(91)90054-O">ORTHOVEC: version 2 of the REDUCE program for 3-D vector analysis in orthogonal curvilinear coordinates</a>. <em>Computer Physics Communications</em> <strong>64</strong> no. 1, pages 121-122, April 1991.</dd>
        <dt id="Eastwood:87a">[Eastwood:87a] James&nbsp;W. Eastwood and Christopher J.&nbsp;H. Watson.</dt>
        <dd>An analytic theory of Wave-Current interactions. Technical Report Plasma Physics Note 87/7, Culham Laboratory, Theory and Optics Division, February 1987.</dd>
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        <dd><a href="http://dx.doi.org/10.1016/0020-7225(82)90002-7">Isovector fields for problems in the mechanics of solids and fluids</a>. <em>Int. Journ. Eng. Sci.</em> <strong>20</strong> no. 7, pages 803-815, 1982.</dd>
        <dt id="Edelen:81">[Edelen:81] Dominic G.&nbsp;B. Edelen.</dt>
        <dd>Programs for calculation of isovector fields in the REDUCE-2 environment. Technical Report TBD, Center for the Application of Mathematics, Lehigh University, August 1981.</dd>
        <dt id="Edneral:89">[Edneral:89] Viktor&nbsp;F. Edneral, Aleksandr&nbsp;P. Kryukov, and Anatolii&nbsp;Ia. Rodionov.</dt>
        <dd><em>The language of the analytic computer program REDUCE</em>. Moscow, Izd-vo, Moskovskogo un-ta, 1989.</dd>
        <dt>Dieter Egger.</dt>
        <dd><em><a href="http://www.shaker.eu/shop/OND-00000-0000140">Hyper-Kugeln und ihre Oberfl&auml;chen.</a></em> (OND-00000-0000140) 69 pages, 41 figures, <a href="http://www.shaker.eu/">Shaker Verlag</a>, July 2012.</dd>
        <dt>Dieter Egger.</dt>
        <dd><em><a href="http://www.shaker.eu/shop/OND-00000-0000142">&Uuml;ber eine Spezielle Metrik</a></em> (OND-00000-0000142) 26 pages, 1 figure, <a href="http://www.shaker.eu/">Shaker Verlag</a>, August 2012.  (See also the bottom of our <a href="/tutorials.php#egger">tutorials page</a>.)
            <dt id="Eisenberger:90">[Eisenberger:90] Moshe Eisenberger.</dt>
            <dd><a href="http://dx.doi.org/10.1016/S0747-7171(08)80030-2">Application of symbolic algebra to the analysis of plates on variable elastic foundation</a>. <em>Journal of Symbolic Computation</em> <strong>9</strong> no. 2, pages 207-213, February 1990.</dd>
            <dt id="Eissfeller:86">[Eissfeller:86] Bernd Ei&szlig;feller and G&uuml;nter&nbsp;W. Hein.</dt>
            <dd>A contribution to 3D-Operational geodesy. Technical Report Heft 17, Universit&auml;rer Studiengang Vermessungswesen and Universit&auml;t der Bundeswehr M&uuml;nchen, December 1986.</dd>
            <dt id="Eitelbach:73">[Eitelbach:73] D.&nbsp;L. Eitelbach.</dt>
            <dd><em>Automatic Analysis of Problems in Elementary Mechanics</em>. PhD thesis, University of Illinois, 1973.</dd>
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            <dd><a href="http://dx.doi.org/10.1016/0021-9991(82)90040-7">Note on equivalence and singularities: An application of computer algebra</a>. <em>Journal of Computational Physics</em> <strong>48</strong> no. 1, pages 150-156, October 1982.</dd>
            <dt id="Eliseev:85">[Eliseev:85] V.&nbsp;P. Eliseev, R.&nbsp;N. Fedorova, and V.&nbsp;V. Kornyak.</dt>
            <dd><a href="http://dx.doi.org/10.1016/0010-4655(85)90027-X">A REDUCE program for determining point and contact Lie symmetries of differential equations</a>. <em>Computer Physics Communications</em> <strong>36</strong> no. 4, pages 383-389, 1985.</dd>
            <dt id="Elishakoff:87a">[Elishakoff:87a] Isaac Elishakoff and Brian Couch.</dt>
            <dd><a href="http://dx.doi.org/10.1016/S0747-7171(87)80015-9">Application of symbolic algebra to the instability of a nonconservative system</a>. <em>Journal of Symbolic Computation</em> <strong>4</strong> no. 3, pages 391-396, December 1987.</dd>
            <dt id="Elishakoff:87">[Elishakoff:87] Isaac Elishakoff and Joseph Hollkamp.</dt>
            <dd><a href="http://dx.doi.org/10.1016/0045-7825(87)90088-0">Computerized symbolic solution for a nonconservative system in which instability occurs by flutter in one range of a parameter and by divergence in another</a>. <em>Comp. Methods in Applied Mechanics and Engineering</em> <strong>62</strong>, pages 27-46, 1987.</dd>
            <dt id="Esteban:90">[Esteban:90] E.P. Esteban and E.&nbsp;Ramos.</dt>
            <dd>Algebraic computing and the Newman-Penrose formalism. <em>Computers in Physics</em> pages 285-290, May/June 1990.</dd>
            <dt id="Euler:02">[Euler:02] Euler, N., Wolf, T., Leach, P.G.L., and Euler, M.</dt>
            <dd><a href="http://dx.doi.org/10.1023/A:1022838932176">Linearizable third order odes and generalised sundman transformations: The case x&apos;&apos;&apos;=0</a>. <em>Acta Applicandae Mathematicae</em> <strong>76</strong> no. 1, pages 89-115, March 2003.</dd>
    </dl>

<dl id='F'>
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    <dd><a href="http://link.aps.org/doi/10.1103/PhysRevLett.53.163">Cooper-type minima in multipole cross sections of atomic hydrogen</a>. <em>Physical Review Letters</em> <strong>53</strong> no. 2, pages 163-165, July 1984.</dd>
    <dt id="Fedorova:87">[Fedorova:87] R.&nbsp;N. Fedorova, V.&nbsp;P. Gerdt, N.&nbsp;N. Govorun, and V.&nbsp;P. Shirikov.</dt>
    <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_80">Computer algebra in physical research of Joint Institute for Nuclear Research</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 1-10. Springer-Verlag, 1987.</dd>
    <dt id="Fedorova:87a">[Fedorova:87a] R.&nbsp;N. Fedorova and V.&nbsp;V. Kornyak.</dt>
    <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_108">Computer algebra application for determining local symmetries of differential equations</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 174-175. Springer-Verlag, 1987.</dd>
    <dt id="Feldmar:86">[Feldmar:86] E.&nbsp;Feldmar and K.&nbsp;S. K&ouml;lbig.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0010-4655(86)90137-2">REDUCE procedures for the manipulation of generalized power series</a>. <em>Computer Physics Communications</em> <strong>39</strong> no. 2, pages 267-284, 1986.</dd>
    <dt id="Feuillebois:84">[Feuillebois:84] F.&nbsp;Feuillebois.</dt>
    <dd><a href="http://dx.doi.org/10.1017/S0022112084000306">Sedimentation in a dispersion with vertical inhomogeneities</a>. <em>J. Fluid Mech.</em> <strong>139</strong>, pages 145-171, 1984.</dd>
    <dt id="Fitch:89a">[Fitch:89a] J.&nbsp;Fitch.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0307-904X(90)90179-9">Compiling for parallelism</a>. <em>Computer Algebra and Parallelism</em> pages 19-31, 1989.</dd>
    <dt id="Fitch:81">[Fitch:81] J.&nbsp;P. Fitch.</dt>
    <dd>User-based integration software. In: <em>Proc. 1981 ACM Symposium on Symbolic and Algebraic Computation</em>, pages 245-248, 1981.</dd>
    <dt id="Fitch:83">[Fitch:83] J.&nbsp;P. Fitch.</dt>
    <dd><a href="http://dx.doi.org/10.1007/3-540-12868-9_97">Implementing REDUCE on a microcomputer</a>. In: <em>Proc. EUROCAL 1983, Lecture Notes in Computer Science</em>, volume 162, pages 128-136. Springer-Verlag, 1983.</dd>
    <dt id="Fitch:85a">[Fitch:85a] J.&nbsp;P. Fitch.</dt>
    <dd>Applying computer algebra. In: <em>International Conference on Computer Algebra and its Application in Theory</em>, pages 262-275, 1985.</dd>
    <dt id="Fitch:85">[Fitch:85] J.&nbsp;P. Fitch.</dt>
    <dd><a href="http://dx.doi.org/10.1016/S0747-7171(85)80015-8">Solving algebraic problems with REDUCE</a>. <em>Journal of Symbolic Computation</em> <strong>1</strong> no. 2, pages 211-227, June 1985.</dd>
    <dt id="Fitch:87">[Fitch:87] J.&nbsp;P. Fitch.</dt>
    <dd>Utilisation du calcul formel. In: P.&nbsp;Chenin, editor, <em>Calcul Formel et Automatique</em>, pages 119-136. Editions du CNRS, 1987.</dd>
    <dt id="Fitch:89">[Fitch:89] J.&nbsp;P. Fitch.</dt>
    <dd><a href="http://doi.acm.org/10.1145/74540.74560">Can REDUCE be run in parallel?</a>. In: <em>Proc. of ISSAC &apos;89</em>, pages 155-162. ACM Press, New York, 1989.</dd>
    <dt id="Fitch:90">[Fitch:90] J.&nbsp;P. Fitch.</dt>
    <dd><a href="http://doi.acm.org/10.1145/96877.96897">A delivery system for REDUCE</a>. In: S.&nbsp;Watanabe and Morio Nagata, editors, <em>Proceedings of the International Symposium on Symbolic and Algebraic Computation</em>, pages 76-81. ACM, Addison-Wesley, 1990.</dd>
    <dt id="Cohen:79">[Cohen:79] J.&nbsp;P. Fitch and H.&nbsp;I. Cohen.</dt>
    <dd><a href="http://dx.doi.org/10.1007/BF00759304">Using CAMAL for algebraic calculations in general relativity</a>. <em>General Relativity and Gravitation</em> <strong>11</strong> no. 6, pages 411-418, December 1979.</dd>
    <dt id="Fitch:87a">[Fitch:87a] J.&nbsp;P. Fitch and R.&nbsp;G. Hall.</dt>
    <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_94">Symbolic computation and the finite element method</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 95-96. Springer-Verlag, 1987.</dd>
    <dt id="Fitch:73">[Fitch:73] John Fitch.</dt>
    <dd><a href="http://doi.acm.org/10.1145/1086814.1086815">Problems #3 and #4 in REDUCE and MACSYMA</a>. <em>SIGSAM Bulletin</em> no. 28, pages 10-11, 1973.</dd>
    <dt id="Fitch:90a">[Fitch:90a] John Fitch.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0010-4655(90)90104-9">The symbolic-numeric interface</a>. <em>Computer Physics Communications</em> <strong>61</strong> no. 1-2, pages 22-33, November 1990.</dd>
    <dt id="Fitch:93">[Fitch:93] John Fitch.</dt>
    <dd>Mathematics goes automatic. <em>Physics world</em> <strong>6</strong> no. 6, pages 48-52, June 1993.</dd>
    <dt id="Flatau:86">[Flatau:86] Piotr&nbsp;J. Flatau, John&nbsp;P. Boyd, and William&nbsp;R. Cotton.</dt>
    <dd>Symbolic algebra in applied mathematics and geophysical fluid dynamics - REDUCE examples. Technical report, Dept. of Atmospheric and Oceanic Science, University of Michigan, and Dept. of Atmospheric Science, Colorado State University, 1986.</dd>
    <dt id="Flath:86">[Flath:86] Dan Flath.</dt>
    <dd>Remarks on tensor operators. Research Report 266, National University of Singapore, Department of Mathematics, July 1986.</dd>
    <dt id="Fleischer:71">[Fleischer:71] J.&nbsp;Fleischer.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0021-9991(73)90172-1">Partial wave analysis of nucleon-nucleon Bethe-Salpeter equation on the computer</a>. <em>Journal of Computational Physics</em> <strong>12</strong> no. 1, pages 112-123, 1973.</dd>
    <dt id="Fleischer:73">[Fleischer:73] J.&nbsp;Fleischer, J.&nbsp;L. Gammel, and M.&nbsp;T. Menzel.</dt>
    <dd><a href="http://link.aps.org/doi/10.1103/PhysRevD.8.1545">Matrix Pad&eacute; approximants for the <sup>1</sup>S<sub>0</sub>- and <sup>3</sup>P<sub>0</sub>- partial waves in nucleon-nucleon scattering</a>. <em>Physical Review D (Particles and Fields)</em> <strong>8</strong>, pages 1545-1552, 1973.</dd>
    <dt id="Fleischer:75">[Fleischer:75] J.&nbsp;Fleischer and J.&nbsp;A. Tjon.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0550-3213(75)90313-2">Bethe-Salpeter equation for J=0 nucleon-nucleon scattering with one-boson exchange</a>. <em>Nuclear Physics B</em> <strong>84</strong> no. 2, pages 375-396, January 1975.</dd>
    <dt id="Fogelholm:82">[Fogelholm:82] Rabbe Fogelholm and Inge&nbsp;B. Frick.</dt>
    <dd><a href="http://doi.acm.org/10.1145/1089310.1089314">Standard LISP for the VAX: a provisional implementation</a>. <em>SIGSAM Bulletin</em> <strong>16</strong> no. 4, pages 10-12, November 1982.</dd>
    <dt id="Foster:89">[Foster:89] Kenneth&nbsp;R. Foster and Haim&nbsp;H. Bau.</dt>
    <dd><a href="http://dx.doi.org/10.1126/science.243.4891.679">Symbolic manipulation programs for the personal computer</a>. <em>Science</em> <strong>243</strong>, pages 679-243, February 1989.</dd>
    <dt id="Fox:71">[Fox:71] J.&nbsp;A. Fox.</dt>
    <dd><a href="http://link.aps.org/doi/10.1103/PhysRevD.3.3228">Recalculation of the crossed graph contribution to the 4th order Lamb shift</a>. <em>Physical Review D (Particles and Fields)</em> <strong>3</strong> no. 12, pages 3228-3230, 1971.</dd>
    <dt id="Fox:74">[Fox:74] John&nbsp;A. Fox and Anthony&nbsp;C. Hearn.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0021-9991(74)90055-2">Analytic computation of some integrals in fourth order quantum electrodynamics</a>. <em>Journal of Computational Physics</em> <strong>14</strong> no. 3, pages 301-317, March 1974.</dd>
    <dt id="Franceschetti:85">[Franceschetti:85] G.&nbsp;Franceschetti and I.&nbsp;Pinto.</dt>
    <dd><a href="http://dx.doi.org/10.1364/JOSAA.2.000997">Nonlinear propagation and scattering: Analytical solution and symbolic code implementation</a>. <em>J. Opt. Soc. Am. A</em> <strong>2</strong> no. 6, pages 997-1006, 1985.</dd>
    <dt id="Freire:89">[Freire:89] E.&nbsp;Freire, E.&nbsp;Gamero, and E.&nbsp;Ponce.</dt>
    <dd>An algorithm for symbolic computation of Hopf bifurcation. In: E.&nbsp;Kaltofen and S.&nbsp;M. Watt, editors, <em>Proceedings of the third conference on Computers and mathematics</em>, pages 109-118. Springer-Verlag, New York, 1989.</dd>
    <dt id="Freire:88">[Freire:88] E.&nbsp;Freire, E.&nbsp;Gamero, E.&nbsp;Ponce, and L.&nbsp;G. Franquelo.</dt>
    <dd><a href="http://dx.doi.org/10.1007/3-540-51084-2_20">An algorithm for symbolic computation of center manifolds</a>. In: <em>Proc. of ISSAC &apos;88</em>, volume 358, pages 218-230. Springer-Verlag, 1988.</dd>
    <dt id="Frick:82">[Frick:82] I.&nbsp;G. Frick and R.&nbsp;Fogelholm.</dt>
    <dd>An implementation of Standard Lisp built on top of Franz Lisp. Report, University of Stockholm, Institute of Physics, April 1982.</dd>
    <dt id="Fritzsche:06">[Fritzsche:06] S.&nbsp;Fritzsche.</dt>
    <dd><a href="http://dx.doi.org/10.1002/qua.20773">Application of point-group symmetries in chemistry and physics: A computer-algebraic approach</a>. <em>International Journal of Quantum Chemistry</em> <strong>106</strong> no. 1, pages 98-129, 2006.</dd>
    <dt id="Fujimoto:06">[Fujimoto:06] J.&nbsp;Fujimoto, T.&nbsp;Ishikawaa, K.&nbsp;Katob, T.&nbsp;Kanekoa, N.&nbsp;Nakazawa, Y.&nbsp;Shimizuc, J.&nbsp;Vermaserend, and Y.&nbsp;Yasuie.</dt>
    <dd><a href="http://dx.doi.org/10.1016/j.nuclphysbps.2006.09.039">Grace with form</a>. <em>Nuclear Physics B - Proceedings Supplements</em> <strong>160</strong>, pages 150-154, 2006. Proceedings of the 8th DESY Workshop on Elementary Particle Theory, Proceedings of the 8th DESY Workshop on Elementary Particle Theory.</dd>
    <dt id="Fujimoto:84">[Fujimoto:84] Y.&nbsp;Fujimoto and T.&nbsp;Garavaglia.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0370-2693(84)91642-3">Phase diagrams in Scalar QED</a>. <em>Physics Letters B</em> <strong>148</strong> no. 1-3, pages 220-224, November 1984.</dd>
    <dt id="Fuzio:85">[Fuzio:85] P.&nbsp;M. Fuzio and G.&nbsp;E. Copeland.</dt>
    <dd><a href="http://link.aps.org/doi/10.1103/PhysRevA.31.187">Partial radiative-recombination cross sections for excited states of hydrogen</a>. <em>Phys. Rev. A</em> <strong>31</strong> no. 1, pages 187-195, 1985.</dd>
</dl>
    <dl id='F'>
        <dt id="Falck:89">[Falck:89] N.&nbsp;K. Falck, D.&nbsp;Graudenz, and G.&nbsp;Kramer.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0010-4655(89)90019-2">Cross section for five-parton production in e<sup>+</sup> e<sup>-</sup> annihilation</a>. <em>Computer Physics Communications</em> <strong>56</strong> no. 2, pages 181-198, December 1989.</dd>
        <dt id="Fazio:84">[Fazio:84] P.&nbsp;M. Fazio and G.&nbsp;E. Copeland.</dt>
        <dd><a href="http://link.aps.org/doi/10.1103/PhysRevLett.53.163">Cooper-type minima in multipole cross sections of atomic hydrogen</a>. <em>Physical Review Letters</em> <strong>53</strong> no. 2, pages 163-165, July 1984.</dd>
        <dt id="Fedorova:87">[Fedorova:87] R.&nbsp;N. Fedorova, V.&nbsp;P. Gerdt, N.&nbsp;N. Govorun, and V.&nbsp;P. Shirikov.</dt>
        <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_80">Computer algebra in physical research of Joint Institute for Nuclear Research</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 1-10. Springer-Verlag, 1987.</dd>
        <dt id="Fedorova:87a">[Fedorova:87a] R.&nbsp;N. Fedorova and V.&nbsp;V. Kornyak.</dt>
        <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_108">Computer algebra application for determining local symmetries of differential equations</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 174-175. Springer-Verlag, 1987.</dd>
        <dt id="Feldmar:86">[Feldmar:86] E.&nbsp;Feldmar and K.&nbsp;S. K&ouml;lbig.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0010-4655(86)90137-2">REDUCE procedures for the manipulation of generalized power series</a>. <em>Computer Physics Communications</em> <strong>39</strong> no. 2, pages 267-284, 1986.</dd>
        <dt id="Feuillebois:84">[Feuillebois:84] F.&nbsp;Feuillebois.</dt>
        <dd><a href="http://dx.doi.org/10.1017/S0022112084000306">Sedimentation in a dispersion with vertical inhomogeneities</a>. <em>J. Fluid Mech.</em> <strong>139</strong>, pages 145-171, 1984.</dd>
        <dt id="Fitch:89a">[Fitch:89a] J.&nbsp;Fitch.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0307-904X(90)90179-9">Compiling for parallelism</a>. <em>Computer Algebra and Parallelism</em> pages 19-31, 1989.</dd>
        <dt id="Fitch:81">[Fitch:81] J.&nbsp;P. Fitch.</dt>
        <dd>User-based integration software. In: <em>Proc. 1981 ACM Symposium on Symbolic and Algebraic Computation</em>, pages 245-248, 1981.</dd>
        <dt id="Fitch:83">[Fitch:83] J.&nbsp;P. Fitch.</dt>
        <dd><a href="http://dx.doi.org/10.1007/3-540-12868-9_97">Implementing REDUCE on a microcomputer</a>. In: <em>Proc. EUROCAL 1983, Lecture Notes in Computer Science</em>, volume 162, pages 128-136. Springer-Verlag, 1983.</dd>
        <dt id="Fitch:85a">[Fitch:85a] J.&nbsp;P. Fitch.</dt>
        <dd>Applying computer algebra. In: <em>International Conference on Computer Algebra and its Application in Theory</em>, pages 262-275, 1985.</dd>
        <dt id="Fitch:85">[Fitch:85] J.&nbsp;P. Fitch.</dt>
        <dd><a href="http://dx.doi.org/10.1016/S0747-7171(85)80015-8">Solving algebraic problems with REDUCE</a>. <em>Journal of Symbolic Computation</em> <strong>1</strong> no. 2, pages 211-227, June 1985.</dd>
        <dt id="Fitch:87">[Fitch:87] J.&nbsp;P. Fitch.</dt>
        <dd>Utilisation du calcul formel. In: P.&nbsp;Chenin, editor, <em>Calcul Formel et Automatique</em>, pages 119-136. Editions du CNRS, 1987.</dd>
        <dt id="Fitch:89">[Fitch:89] J.&nbsp;P. Fitch.</dt>
        <dd><a href="http://doi.acm.org/10.1145/74540.74560">Can REDUCE be run in parallel?</a>. In: <em>Proc. of ISSAC &apos;89</em>, pages 155-162. ACM Press, New York, 1989.</dd>
        <dt id="Fitch:90">[Fitch:90] J.&nbsp;P. Fitch.</dt>
        <dd><a href="http://doi.acm.org/10.1145/96877.96897">A delivery system for REDUCE</a>. In: S.&nbsp;Watanabe and Morio Nagata, editors, <em>Proceedings of the International Symposium on Symbolic and Algebraic Computation</em>, pages 76-81. ACM, Addison-Wesley, 1990.</dd>
        <dt id="Cohen:79">[Cohen:79] J.&nbsp;P. Fitch and H.&nbsp;I. Cohen.</dt>
        <dd><a href="http://dx.doi.org/10.1007/BF00759304">Using CAMAL for algebraic calculations in general relativity</a>. <em>General Relativity and Gravitation</em> <strong>11</strong> no. 6, pages 411-418, December 1979.</dd>
        <dt id="Fitch:87a">[Fitch:87a] J.&nbsp;P. Fitch and R.&nbsp;G. Hall.</dt>
        <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_94">Symbolic computation and the finite element method</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 95-96. Springer-Verlag, 1987.</dd>
        <dt id="Fitch:73">[Fitch:73] John Fitch.</dt>
        <dd><a href="http://doi.acm.org/10.1145/1086814.1086815">Problems #3 and #4 in REDUCE and MACSYMA</a>. <em>SIGSAM Bulletin</em> no. 28, pages 10-11, 1973.</dd>
        <dt id="Fitch:90a">[Fitch:90a] John Fitch.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0010-4655(90)90104-9">The symbolic-numeric interface</a>. <em>Computer Physics Communications</em> <strong>61</strong> no. 1-2, pages 22-33, November 1990.</dd>
        <dt id="Fitch:93">[Fitch:93] John Fitch.</dt>
        <dd>Mathematics goes automatic. <em>Physics world</em> <strong>6</strong> no. 6, pages 48-52, June 1993.</dd>
        <dt id="Flatau:86">[Flatau:86] Piotr&nbsp;J. Flatau, John&nbsp;P. Boyd, and William&nbsp;R. Cotton.</dt>
        <dd>Symbolic algebra in applied mathematics and geophysical fluid dynamics - REDUCE examples. Technical report, Dept. of Atmospheric and Oceanic Science, University of Michigan, and Dept. of Atmospheric Science, Colorado State University, 1986.</dd>
        <dt id="Flath:86">[Flath:86] Dan Flath.</dt>
        <dd>Remarks on tensor operators. Research Report 266, National University of Singapore, Department of Mathematics, July 1986.</dd>
        <dt id="Fleischer:71">[Fleischer:71] J.&nbsp;Fleischer.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0021-9991(73)90172-1">Partial wave analysis of nucleon-nucleon Bethe-Salpeter equation on the computer</a>. <em>Journal of Computational Physics</em> <strong>12</strong> no. 1, pages 112-123, 1973.</dd>
        <dt id="Fleischer:73">[Fleischer:73] J.&nbsp;Fleischer, J.&nbsp;L. Gammel, and M.&nbsp;T. Menzel.</dt>
        <dd><a href="http://link.aps.org/doi/10.1103/PhysRevD.8.1545">Matrix Pad&eacute; approximants for the <sup>1</sup>S<sub>0</sub>- and <sup>3</sup>P<sub>0</sub>- partial waves in nucleon-nucleon scattering</a>. <em>Physical Review D (Particles and Fields)</em> <strong>8</strong>, pages 1545-1552, 1973.</dd>
        <dt id="Fleischer:75">[Fleischer:75] J.&nbsp;Fleischer and J.&nbsp;A. Tjon.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0550-3213(75)90313-2">Bethe-Salpeter equation for J=0 nucleon-nucleon scattering with one-boson exchange</a>. <em>Nuclear Physics B</em> <strong>84</strong> no. 2, pages 375-396, January 1975.</dd>
        <dt id="Fogelholm:82">[Fogelholm:82] Rabbe Fogelholm and Inge&nbsp;B. Frick.</dt>
        <dd><a href="http://doi.acm.org/10.1145/1089310.1089314">Standard LISP for the VAX: a provisional implementation</a>. <em>SIGSAM Bulletin</em> <strong>16</strong> no. 4, pages 10-12, November 1982.</dd>
        <dt id="Foster:89">[Foster:89] Kenneth&nbsp;R. Foster and Haim&nbsp;H. Bau.</dt>
        <dd><a href="http://dx.doi.org/10.1126/science.243.4891.679">Symbolic manipulation programs for the personal computer</a>. <em>Science</em> <strong>243</strong>, pages 679-243, February 1989.</dd>
        <dt id="Fox:71">[Fox:71] J.&nbsp;A. Fox.</dt>
        <dd><a href="http://link.aps.org/doi/10.1103/PhysRevD.3.3228">Recalculation of the crossed graph contribution to the 4th order Lamb shift</a>. <em>Physical Review D (Particles and Fields)</em> <strong>3</strong> no. 12, pages 3228-3230, 1971.</dd>
        <dt id="Fox:74">[Fox:74] John&nbsp;A. Fox and Anthony&nbsp;C. Hearn.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0021-9991(74)90055-2">Analytic computation of some integrals in fourth order quantum electrodynamics</a>. <em>Journal of Computational Physics</em> <strong>14</strong> no. 3, pages 301-317, March 1974.</dd>
        <dt id="Franceschetti:85">[Franceschetti:85] G.&nbsp;Franceschetti and I.&nbsp;Pinto.</dt>
        <dd><a href="http://dx.doi.org/10.1364/JOSAA.2.000997">Nonlinear propagation and scattering: Analytical solution and symbolic code implementation</a>. <em>J. Opt. Soc. Am. A</em> <strong>2</strong> no. 6, pages 997-1006, 1985.</dd>
        <dt id="Freire:89">[Freire:89] E.&nbsp;Freire, E.&nbsp;Gamero, and E.&nbsp;Ponce.</dt>
        <dd>An algorithm for symbolic computation of Hopf bifurcation. In: E.&nbsp;Kaltofen and S.&nbsp;M. Watt, editors, <em>Proceedings of the third conference on Computers and mathematics</em>, pages 109-118. Springer-Verlag, New York, 1989.</dd>
        <dt id="Freire:88">[Freire:88] E.&nbsp;Freire, E.&nbsp;Gamero, E.&nbsp;Ponce, and L.&nbsp;G. Franquelo.</dt>
        <dd><a href="http://dx.doi.org/10.1007/3-540-51084-2_20">An algorithm for symbolic computation of center manifolds</a>. In: <em>Proc. of ISSAC &apos;88</em>, volume 358, pages 218-230. Springer-Verlag, 1988.</dd>
        <dt id="Frick:82">[Frick:82] I.&nbsp;G. Frick and R.&nbsp;Fogelholm.</dt>
        <dd>An implementation of Standard Lisp built on top of Franz Lisp. Report, University of Stockholm, Institute of Physics, April 1982.</dd>
        <dt id="Fritzsche:06">[Fritzsche:06] S.&nbsp;Fritzsche.</dt>
        <dd><a href="http://dx.doi.org/10.1002/qua.20773">Application of point-group symmetries in chemistry and physics: A computer-algebraic approach</a>. <em>International Journal of Quantum Chemistry</em> <strong>106</strong> no. 1, pages 98-129, 2006.</dd>
        <dt id="Fujimoto:06">[Fujimoto:06] J.&nbsp;Fujimoto, T.&nbsp;Ishikawaa, K.&nbsp;Katob, T.&nbsp;Kanekoa, N.&nbsp;Nakazawa, Y.&nbsp;Shimizuc, J.&nbsp;Vermaserend, and Y.&nbsp;Yasuie.</dt>
        <dd><a href="http://dx.doi.org/10.1016/j.nuclphysbps.2006.09.039">Grace with form</a>. <em>Nuclear Physics B - Proceedings Supplements</em> <strong>160</strong>, pages 150-154, 2006. Proceedings of the 8th DESY Workshop on Elementary Particle Theory, Proceedings of the 8th DESY Workshop on Elementary Particle Theory.</dd>
        <dt id="Fujimoto:84">[Fujimoto:84] Y.&nbsp;Fujimoto and T.&nbsp;Garavaglia.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0370-2693(84)91642-3">Phase diagrams in Scalar QED</a>. <em>Physics Letters B</em> <strong>148</strong> no. 1-3, pages 220-224, November 1984.</dd>
        <dt id="Fuzio:85">[Fuzio:85] P.&nbsp;M. Fuzio and G.&nbsp;E. Copeland.</dt>
        <dd><a href="http://link.aps.org/doi/10.1103/PhysRevA.31.187">Partial radiative-recombination cross sections for excited states of hydrogen</a>. <em>Phys. Rev. A</em> <strong>31</strong> no. 1, pages 187-195, 1985.</dd>
    </dl>

<dl id='G'>
    <dt id="Gaemers">[Gaemers] K.&nbsp;J.&nbsp;F. Gaemers, R.&nbsp;Gastmans, and F.&nbsp;M. Renard.</dt>
    <dd><a href="http://dx.doi.org/10.1103/PhysRevD.19.1605">Neutrino counting in e<sup>+</sup> e<sup>-</sup> collisions</a>. <em>Physical Review D (Particles and Fields)</em> <strong>19</strong> no. 5, pages 1605-1606, 1979.</dd>
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        <dt id="Hulshof:83">[Hulshof:83] B.&nbsp;J.&nbsp;A. Hulshof and J.&nbsp;A. van Hulzen.</dt>
        <dd><a href="http://doi.acm.org/10.1145/1089320.1089323">Some REDUCE facilities for pretty printing subscripts and formal derivatives</a>. <em>SIGSAM Bulletin</em> <strong>17</strong> no. 1, pages 16-20, February 1983.</dd>
        <dt id="Hulshof:84">[Hulshof:84] B.&nbsp;J.&nbsp;A. Hulshof and J.&nbsp;A. van Hulzen.</dt>
        <dd><a href="http://dx.doi.org/10.1007/BFb0032848">Automatic error cumulation control</a>. In: <em>Proc. EUROSAM 1984, Lecture Notes in Computer Science</em>, volume 174, pages 260-271. Springer-Verlag, 1984.</dd>
        <dt id="Hulshof:85">[Hulshof:85] B.&nbsp;J.&nbsp;A. Hulshof and J.&nbsp;A. van Hulzen.</dt>
        <dd><a href="http://dx.doi.org/10.1007/3-540-15984-3_282">An expression compression package for REDUCE based on factorization and controlled expansion</a>. In: <em>Proc. EUROCAL 1985, Lecture Notes in Computer Science</em>, volume 204, pages 315-316. Springer-Verlag, 1985.</dd>
        <dt id="Hulshof:81">[Hulshof:81] B.&nbsp;J.&nbsp;A. Hulshof, J.&nbsp;A. van Hulzen, and J.&nbsp;Smit.</dt>
        <dd>Code optimization facilities applied in the Netform context. Memorandum 368, Department of Applied Mathematics, Twente University of Technology, The Netherlands, December 1981.</dd>
        <dt id="Hunt:91">[Hunt:91] R.&nbsp;E. Hunt and D.&nbsp;G. Crighton.</dt>
        <dd>Instability of flows in spatially developing media. <em>Proc. Roy. Soc. Lond. A</em> <strong>435</strong>, pages 109-128, 1991.</dd>
        <dt id="Husberg:81">[Husberg:81] N.&nbsp;Husberg.</dt>
        <dd>Preliminary II REDUCE-2 and Analitik-74, a comparison. Technical report, Helsinki University of Technology Computing Center, November 1981.</dd>
    </dl>

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    <dt id="Finan:80">[Finan:80] Charles Henry&nbsp;Finan III.</dt>
    <dd><em>The alternating-direction implicit numerical solution of the time-dependent, three-dimensional, single fluid resistive magnetohydrodynamic equations</em>. PhD thesis, University of California, Davis, December 1980.</dd>
    <dt id="Ilyin:87">[Ilyin:87] V.&nbsp;A. Ilyin and A.&nbsp;P. Kryukov.</dt>
    <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_120">DIMREG - the package for calculations in the dimensional regularization with 4-dimensional &gamma;<sup>5</sup>
        -matrix in quantum field theory</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 225-232. Springer-Verlag, 1987.</dd>
    <dt id="Ilyin:91">[Ilyin:91] V.&nbsp;A. Ilyin and A.&nbsp;P. Kryukov.</dt>
    <dd><a href="http://doi.acm.org/10.1145/120694.120727">Symbolic simplification of tensor expressions using symmetries, dummy indices and identities</a>. In: Stephen&nbsp;M. Watt, editor, <em>Proc. of the 1991 International Symposium on Symbolic and Algebraic Computation</em>, pages 224-228, Maryland, 1991. ACM Press.</dd>
    <dt id="Ilyin:96">[Ilyin:96] V.&nbsp;A. Ilyin and A.&nbsp;P. Kryukov.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0010-4655(96)00060-4">ATENSOR - REDUCE program for tensor simplification</a>. <em>Computer Physics Communications</em> <strong>96</strong> no. 1, pages 36-52, July 1996.</dd>
    <dt id="Ilyin:89">[Ilyin:89] V.&nbsp;A. Ilyin, A.&nbsp;P. Kryukov, A.&nbsp;Ya. Rodioniov, and A.&nbsp;Yu. Taranov.</dt>
    <dd><a href="http://doi.acm.org/10.1145/70927.70929">Fast algorithm for calculation of Dirac&apos;s gamma-matrices traces</a>. <em>SIGSAM Bulletin</em> <strong>23</strong> no. 4, pages 15-24, October 1989.</dd>
    <dt id="Ilyin:91a">[Ilyin:91a] V.&nbsp;A. Ilyin, A.&nbsp;P. Kryukov, A.&nbsp;Ya. Rodionov, and A&nbsp;Yu. Taranov.</dt>
    <dd><a href="http://doi.acm.org/10.1145/120694.120769">PC implementation of fast Dirac matrix trace calculations</a>. In: Stephen&nbsp;M. Watt, editor, <em>Proc. of the 1991 International Symposium on Symbolic and Algebraic Computation</em>, pages 456-457, Maryland, 1991. ACM Press.</dd>
    <dt id="IMO">[IMO]</dt>
    <dd><a href="http://olympiads.win.tue.nl/imo">International mathematics olympiad (imo)</a>.</dd>
    <dt id="Inada:80">[Inada:80] Nobuyuki Inada.</dt>
    <dd>Fortran-based LISP system for REDUCE. Technical report, Information Science Laboratory, The Institute of Physical and Chemical Research, 1980.</dd>
    <dt id="Ioakimidis:90a">[Ioakimidis:90a] N.&nbsp;I. Ioakimidis.</dt>
    <dd>Construction of singular integral equations for interacting straight cracks by using REDUCE. Technical report, Division of Applied Mathematics and Mechanics, School of Engineering, University of Patras, Greece, 1990.</dd>
    <dt id="Ioakimidis:90">[Ioakimidis:90] N.&nbsp;I. Ioakimidis.</dt>
    <dd>Construction of the equation of caustics in dynamic plane elasticity problems with the help of REDUCE. Technical report, Division of Applied Mathematics and Mechanics, School of Engineering, University of Patras, Greece, 1990.</dd>
    <dt id="Ito:85">[Ito:85] M.&nbsp;Ito.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0010-4655(85)90009-8">A REDUCE program for evaluating a Lax pair form</a>. <em>Computer Physics Communications</em> <strong>34</strong> no. 3, pages 325-331, 1985.</dd>
    <dt id="Ito:85a">[Ito:85a] M.&nbsp;Ito and F.&nbsp;Kako.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0010-4655(85)90109-2">A REDUCE program for finding conserved densities of partial differential equations with uniform rank</a>. <em>Computer Physics Communications</em> <strong>38</strong> no. 3, pages 415-419, 1985.</dd>
    <dt id="Ito:88">[Ito:88] Masaaki Ito.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0010-4655(88)90188-9">A REDUCE program for Hirota&apos;s bilinear operator and Wronskian operations</a>. <em>Computer Physics Communications</em> <strong>50</strong> no. 3, pages 321-330, August 1988.</dd>
    <dt id="Ito:94">[Ito:94] Masaaki Ito.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0010-4655(94)90193-7">SYMCD - a REDUCE package for finding symmetries and conserved densitites of systems of nonlinear evolution equations</a>. <em>Computer Physics Communications</em> <strong>79</strong> no. 3, pages 547-554, May 1994.</dd>
    <dt id="Ito:90a">[Ito:90a] Nobuyasu Ito.</dt>
    <dd><a href="http://ptp.ipap.jp/link?PTP/83/682/">Discrete-time and single-spin-flip dynamics of the Ising chain</a>. <em>Prog. Theor. Phys.</em> <strong>83</strong> no. 4, pages 682-692, April 1990.</dd>
    <dt id="Ito:90">[Ito:90] Nobuyasu Ito and Tetsuhiko Chikyu.</dt>
    <dd><a href="http://dx.doi.org/10.1016/0378-4371(90)90012-H">Multi-spin-flip dynamics of the Ising chain</a>. <em>Physica A</em> <strong>166</strong> no. 2, pages 193-205, 1990.</dd>
</dl>
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        <dt id="Idesawa:77">[Idesawa:77] M.&nbsp;Idesawa and T.&nbsp;Yatagai.</dt>
        <dd>General theory of projection-type Moir&eacute; topography. Scientific Papers&nbsp;71, Institute of Physical and Chemical Research, Wako-Shi, Saitama, 1977.</dd>
        <dt id="Finan:80">[Finan:80] Charles Henry&nbsp;Finan III.</dt>
        <dd><em>The alternating-direction implicit numerical solution of the time-dependent, three-dimensional, single fluid resistive magnetohydrodynamic equations</em>. PhD thesis, University of California, Davis, December 1980.</dd>
        <dt id="Ilyin:87">[Ilyin:87] V.&nbsp;A. Ilyin and A.&nbsp;P. Kryukov.</dt>
        <dd><a href="http://dx.doi.org/10.1007/3-540-51517-8_120">DIMREG - the package for calculations in the dimensional regularization with 4-dimensional &gamma;<sup>5</sup>
            -matrix in quantum field theory</a>. In: <em>Proc. EUROCAL &apos;87, Lecture Notes in Computer Science</em>, volume 378, pages 225-232. Springer-Verlag, 1987.</dd>
        <dt id="Ilyin:91">[Ilyin:91] V.&nbsp;A. Ilyin and A.&nbsp;P. Kryukov.</dt>
        <dd><a href="http://doi.acm.org/10.1145/120694.120727">Symbolic simplification of tensor expressions using symmetries, dummy indices and identities</a>. In: Stephen&nbsp;M. Watt, editor, <em>Proc. of the 1991 International Symposium on Symbolic and Algebraic Computation</em>, pages 224-228, Maryland, 1991. ACM Press.</dd>
        <dt id="Ilyin:96">[Ilyin:96] V.&nbsp;A. Ilyin and A.&nbsp;P. Kryukov.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0010-4655(96)00060-4">ATENSOR - REDUCE program for tensor simplification</a>. <em>Computer Physics Communications</em> <strong>96</strong> no. 1, pages 36-52, July 1996.</dd>
        <dt id="Ilyin:89">[Ilyin:89] V.&nbsp;A. Ilyin, A.&nbsp;P. Kryukov, A.&nbsp;Ya. Rodioniov, and A.&nbsp;Yu. Taranov.</dt>
        <dd><a href="http://doi.acm.org/10.1145/70927.70929">Fast algorithm for calculation of Dirac&apos;s gamma-matrices traces</a>. <em>SIGSAM Bulletin</em> <strong>23</strong> no. 4, pages 15-24, October 1989.</dd>
        <dt id="Ilyin:91a">[Ilyin:91a] V.&nbsp;A. Ilyin, A.&nbsp;P. Kryukov, A.&nbsp;Ya. Rodionov, and A&nbsp;Yu. Taranov.</dt>
        <dd><a href="http://doi.acm.org/10.1145/120694.120769">PC implementation of fast Dirac matrix trace calculations</a>. In: Stephen&nbsp;M. Watt, editor, <em>Proc. of the 1991 International Symposium on Symbolic and Algebraic Computation</em>, pages 456-457, Maryland, 1991. ACM Press.</dd>
        <dt id="IMO">[IMO]</dt>
        <dd><a href="http://olympiads.win.tue.nl/imo">International mathematics olympiad (imo)</a>.</dd>
        <dt id="Inada:80">[Inada:80] Nobuyuki Inada.</dt>
        <dd>Fortran-based LISP system for REDUCE. Technical report, Information Science Laboratory, The Institute of Physical and Chemical Research, 1980.</dd>
        <dt id="Ioakimidis:90a">[Ioakimidis:90a] N.&nbsp;I. Ioakimidis.</dt>
        <dd>Construction of singular integral equations for interacting straight cracks by using REDUCE. Technical report, Division of Applied Mathematics and Mechanics, School of Engineering, University of Patras, Greece, 1990.</dd>
        <dt id="Ioakimidis:90">[Ioakimidis:90] N.&nbsp;I. Ioakimidis.</dt>
        <dd>Construction of the equation of caustics in dynamic plane elasticity problems with the help of REDUCE. Technical report, Division of Applied Mathematics and Mechanics, School of Engineering, University of Patras, Greece, 1990.</dd>
        <dt id="Ito:85">[Ito:85] M.&nbsp;Ito.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0010-4655(85)90009-8">A REDUCE program for evaluating a Lax pair form</a>. <em>Computer Physics Communications</em> <strong>34</strong> no. 3, pages 325-331, 1985.</dd>
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        <dd><a href="http://dx.doi.org/10.1016/0010-4655(85)90109-2">A REDUCE program for finding conserved densities of partial differential equations with uniform rank</a>. <em>Computer Physics Communications</em> <strong>38</strong> no. 3, pages 415-419, 1985.</dd>
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        <dt id="Ito:90a">[Ito:90a] Nobuyasu Ito.</dt>
        <dd><a href="http://ptp.ipap.jp/link?PTP/83/682/">Discrete-time and single-spin-flip dynamics of the Ising chain</a>. <em>Prog. Theor. Phys.</em> <strong>83</strong> no. 4, pages 682-692, April 1990.</dd>
        <dt id="Ito:90">[Ito:90] Nobuyasu Ito and Tetsuhiko Chikyu.</dt>
        <dd><a href="http://dx.doi.org/10.1016/0378-4371(90)90012-H">Multi-spin-flip dynamics of the Ising chain</a>. <em>Physica A</em> <strong>166</strong> no. 2, pages 193-205, 1990.</dd>
    </dl>

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