Unexpected FullSimplify results

Asked Jan 01 '17 at 02:28

Active Jan 01 '17 at 05:39

Viewed 59 times

I have just started using Mathematica and I am having a hard time understanding the results from FullSimplify. Please see examples bellow:

FullSimplify[(0.5*H + R), (0.5*H + R) == p]
FullSimplify[(H + R + T), (H + R + T) == 1]
FullSimplify[(0.5*H + R)*(H + R + T), (0.5*H + R) == p && (H + R + T) == 1]

I get the following results:

p
1
0.5 (1 + R - T)

My questions is: Why the last expression does not output p (or p*1)?

edited Jan 01 '17 at 05:39

m_goldberg

107,779
16
103
257

asked Jan 01 '17 at 02:28

user45586

Seems like a bug to me... The output isn't even correct. – JungHwan Min Jan 01 '17 at 03:36
@JungHwanMin Why do you say the output is incorrect? Consider (0.5*H + R)*(H + R + T) /. H -> 1 - R - T // Factor. – Michael E2 Jan 01 '17 at 03:46
@MichaelE2 You're right... I somehow had a lingering definition for p – JungHwan Min Jan 01 '17 at 03:47
Try substituting x for p, then repeat your evaluation. The answer this time will be x. This behavior is not isolated to FullSimplify. See Question #95374 for how canonical order of symbols can affect the results of Integrate. – Wodahs Jan 01 '17 at 06:59
Also check out @Jens answer to Question 17926. – Wodahs Jan 01 '17 at 07:29

Unexpected FullSimplify results

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