One Hat Cyber Team

Your IP : 216.73.216.216

Server IP : 194.44.31.54

Server : Linux zen.imath.kiev.ua 4.18.0-553.77.1.el8_10.x86_64 #1 SMP Fri Oct 3 14:30:23 UTC 2025 x86_64

Server Software : Apache/2.4.37 (Rocky Linux) OpenSSL/1.1.1k

PHP Version : 5.6.40

Buat File | Buat Folder

Dir : ~/usr/share/doc/Macaulay2/Core/tests/

View File Name : transpose.m2

--From: "Paul S. Aspinwall" <psa@cgtp.duke.edu>
--Date: Tue, 13 Mar 2007 15:36:26 -0400
--To: "Daniel R. Grayson" <dan@math.uiuc.edu>
--Subject: Degree of transpose
--
--Dear Dan,
--
--I'm pretty sure I've found a math error in "transpose" (and "dual").
--
--If I take the transpose of a map f:A->B, then I should negate the
--degrees of A and B, but *not* the degrees of f. Right now, Macaulay2
--negates the degrees of a map under transpose (as well as the degrees
--of the target and source).
--
--The following code exhibits the "bug":

R = QQ[x]
m = map(R^{0},R^{0},matrix{{x}},Degree=>1)
assert isHomogeneous m
mt = transpose m
assert isHomogeneous mt
degree mt === degree m