translating programs from Macaulay

Macaulay 2 aims to provide all of the functionality of Macaulay, but the names of the functions are not the same, and there are other differences. One major difference is the introduction of the notion of module, whereas in Macaulay, the pervasive concept was the matrix.

Here is a list of old Macaulay functions, together with pointers to functions in Macaulay 2 that might be used to replace them.

Macaulay commands:

. -- not available

ac -- such destructive changes are not allowed

add -- +

ar --

args --

betti -- betti

binoms --

cache_mem --

calc --

cat --

cdir --

ce --

characteristic -- char

chcalc --

codim -- codim

coef --

col_degree --

col_degs --

commands --

compress -- compress

concat -- |,||

continue --

contract -- contract

copy --

degree -- degree

determinants -- minors

diag --

diff -- diff

dshift --

dsum -- ++

echo --

edit --

edit_map --

elim -- selectInSubring

endmon --

ev -- substitute,RingMap

exit -- quit

fetch -- substitute

flatten -- flatten

forcestd -- forceGB

help -- help

help_file --

hilb -- hilbertSeries,hilbertPolynomial,hilbertFunction,poincare

hilb_numer -- hilbertSeries

homog -- homogenize

hulb --

ideal -- ideal, matrix

iden -- id

if -- if

imap -- map

in -- leadTermMatrix

incoef --

incr_set --

inpart --

int --

intersect -- intersect

is_zero -- ==

jacob -- jacobian

jump --

k-basis -- basis

k_basis -- basis

keep --

kill --

koszul -- koszul

lift -- //

lift_std -- gb

listvars -- listUserSymbols

mat -- matrix

max -- max

mc --

min -- min

modulo -- modulo

monitor --

monitoring --

monoms --

monprimes --

mr --

mult -- *

ncols -- use numgens source m

nres -- resolution

nrows -- use numgens target m

numinfo --

nvars -- use numgens R

outer -- **

path -- path

pc --

pfaff -- pfaffians

pmap --

poly --

power -- ^

pr --

pres --

present_ring --

pring --

prmat --

putchange --

putmat --

putstd --

qring --

quit --

quotient --

random --

reduce --

res --

reset --

ring --

ring-from-rows --

ring_from_cols --

ring_from_rows --

ring_sum --

rings --

rmap --

row_degree --

row_degs --

sat -- saturate

set --

set_value --

setcoldegs --

setdegs --

setring --

shout --

size --

smult -- *

space -- engineMemory

spairs --

spare --

sparse --

standard -- gb

std --

std_minimal --

stdpart --

sub --

submat -- submatrix

subtract -- -

syz -- syz,kernel

tensor --

to-ring --

tr --

trace -- trace

transpose -- transpose

truncate -- truncate

type --

version -- version

wedge -- minors,exteriorPower

Macaulay scripts from 'scriptsde':

<adj_of_cat --

<adjoin_fractions --

<adjoint --

<analytic_spread --

<annihilated --

<annihilator -- ann

<annihilator1 -- ann

<annihilator2 -- ann

<binomial -- binomial

<ceiling --

<changelog --

<codim --

<cohomology --

<cohomology1 --

<column_vector --

<complement --

<copyring --

<cotan --

<cotan_bihom --

<curve_on_cubic --

<diagonal_submodule --

<diff --

<double_dual --

<double_dual1 --

<dual_variety --

<empty_array --

<equality --

<ext --

<ext(-,r) --

<extend_ring --

<from_bigraded --

<from_div_powers --

<generic_mat -- genericMatrix

<getvars --

<hom --

<hom_and_map --

<hom_is_0 --

<homology --

<i_in_j --

<ideal --

<idempotent --

<idencoldegs --

<idenrowdegs --

<interchange --

<interchange_permutation --

<inverse --

<is_zero --

<k3carpet --

<kernel --

<kernel_and_map --

<kosz_hom1 --

<kosz_hom2 --

<l_i_in_j --

<l_intersect --

<l_res --

<lex_seg_ideal --

<macaulayrep --

<map_from_col --

<minpres --

<module_iso --

<monomial_curve --

<mult_ideals --

<nbyn_commuting --

<normal_sheaf --

<nres --

<nzd --

<orbit_equations --

<permutation --

<perp --

<points --

<powers --

<project_from_product --

<projective_plane --

<prune -- prune

<prune_and_map --

<push_forward -- pushforward

<push_forward1 -- pushforward1

<quotient1 -- quotient

<radical -- radical

<random_element --

<random_int --

<random_map --

<random_mat --

<rank_prob --

<rat_nor_curve --

<rat_nor_osc_locus --

<rational_surface --

<rational_surface1 --

<reduce_syzygy_1 --

<regular_sequence --

<regular_sequence1 --

<regularity -- regularity

<remove_low_dim --

<remove_low_dim_id --

<remove_lowest_dim --

<representatives --

<representatives_old --

<res -- resolution

<res_and_dim -- resolution,pdim

<ring --

<sagbi --

<sagbi_step --

<sat -- saturate

<sat1 -- saturate

<scroll --

<select --

<shout_list --

<sort_by_degree --

<stack -- matrix,map

<submat_by_degs --

<subring -- kernel

<sym --

<sym_cokernel --

<template_for_scripts --

<to_div_powers --

<tor -- Tor

<unmixed_radical -- radical

<unmixed_radical1 -- radical

<unmixed_radical2 -- radical

<wedge_cokernel --

<x_to_last -- newCoordinateSystem

<zeromat --

Macaulay scripts from 'scriptsmj':

<2BYN --

<add_matrix_to_array --

<check_complex --

<check_exact --

<comp_to_array --

<eagon_northcott --

<extract_matrix --

<homology_of_array --

<jordan0 --

<koszul_complex --

<lift --

<lift_arrays --

<mc --

<nilpotent0 --

<pres --

<smult_complex --

<splice_resns --

Macaulay scripts from 'scriptsms':

<block_map --

<blowup --

<blowup0 --

<generic_skew_mat -- genericSkewMatrix

<generic_sym_mat -- genericSymmetricMatrix

<hilb_fcn --

<inhomog_std --

<l_dual0 --

<l_from_dual -- fromDual

<l_homog0 --

<l_min0 --

<l_minimal --

<l_minimal0 --

<l_tangentcone --

<l_to_dual -- toDual

<line_bundle_image --

<normal_cone --

<proj_bundle --

<rmap --

<symmetric_algebra --

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