Repository navigation
Read a power with x in its base and its exponent as an exponential for the Risch-Norman ansatz - #2044
Closed
Rafael-SOWNet wants to merge 1 commit into
Conversation
…r the Risch-Norman ansatz Rubi's 2.3 x^(-2 - 1/x) (1 - ln(x)) is (-x^(-1/x))', and was declined, where e^(-ln(x)/x) (1 - ln(x))/x^2 is answered by the Risch-Norman ansatz at once: the ansatz's monomials are exponentials and logarithms, and a power with x in its base and its exponent is neither as written. B^E is e^(E ln(B)) on the principal branch, which is what the power means. The ansatz now reads it so, keeping the part of the exponent free of x as a power of B, since e^((-2 - 1/x) ln(x)) is a monomial with no polynomial in x beside it, and x^(-2) e^(-ln(x)/x) is a rational function of x times one. The answer is written back as a power, with the factors written on both sides of the bar cancelled: -x^(-1/x), Rubi's. Part of #233. Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
Member
Author
|
Closing as redundant: #2034, merged since this branch was cut from 78cd31b, already answers both rows on master 49bf5d1 with the same answers ( 🤖 Generated with Claude Code |
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
1 participant
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
Part of #233.
x^(-2 - 1/x) (1 - ln(x))is(-x^(-1/x))', and was declined. Spellede^(-ln(x)/x) (1 - ln(x))/x^2, the ansatz answers it at once. Its monomials are exponentials and logarithms, and a power with x in both base and exponent is neither as written.B^Eise^(E ln(B))on the principal branch, which is what the power means, and the ansatz now reads it so. The part of the exponent free of x stays a power ofB:e^((-2 - 1/x) ln(x))is a monomial with no polynomial in x beside it, whilex^(-2) e^(-ln(x)/x)is a rational function of x times one.-x^(-1/x), Rubi's own, where the ansatz alone gave-x e^(-ln(x)/x)/x.Chain against master 78cd31b:
The full unit suite passes locally: 16,551 passed, 0 failed. The BREAKING-CHANGES lengths were measured on the branch. Rebased onto 49bf5d1.
🤖 Generated with Claude Code
https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura