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Paper Citation Record · LEDGER

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry

As of 18 August 2026, this Paper Citation Record lists 100 of 117 outbound references and 0 inbound Pith citation observations for arXiv:2507.23728.

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pith.paper-citation-record.v1
2507.23728 v1

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measured 100 of 117 reference resolution

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100 of 117 outbound references displayed

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Outbound references

Observation 3838bfce-d867-44f5-90ba-2b83a6bdbbca · outbound

This paper cites Acevedo, M.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Acevedo, M

Reference 1

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This paper cites Foundations of Computational Mathematics , (to appear).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Foundations of Computational Mathematics , (to appear)

Reference 2

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This paper cites In: Algorithms in Algebraic Geometry and Applications, pp.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: Algorithms in Algebraic Geometry and Applications, pp

Reference 3

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Observation ab04533a-59e6-4091-b5d1-55ab31bafc31 · outbound

This paper cites I.: Hyperbolic polynomials and Vandermonde mappings.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry I.: Hyperbolic polynomials and Vandermonde mappings

Reference 4

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Observation 017c809e-312e-4c4c-9e12-69d5d82e5224 · outbound

This paper cites Journal of the ACM, 43(6), 1002–1045 (1996).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Journal of the ACM, 43(6), 1002–1045 (1996)

Reference 5

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This paper cites Journal of the American Mathematical Society, 13(1), 55–82 (2000).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Journal of the American Mathematical Society, 13(1), 55–82 (2000)

Reference 6

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This paper cites Algo- rithms and Computation in Mathematics, vol.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Algo- rithms and Computation in Mathematics, vol

Reference 7

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Observation feb1206a-309e-4fc9-87a9-30bb376f0f3d · outbound

This paper cites Discrete & Computational Geometry, 52:278–343 (2014) 55.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Discrete & Computational Geometry, 52:278–343 (2014) 55

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Observation ff77f6cd-c91b-4abd-b39b-08db7176a473 · outbound

This paper cites Foundations of Computational Mathematics , 14:1117–1172 (2014).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Foundations of Computational Mathematics , 14:1117–1172 (2014)

Reference 9

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This paper cites Algorithms in Real Algebraic Geometry: A Survey.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Algorithms in Real Algebraic Geometry: A Survey

Reference 10

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This paper cites Advances in Mathematics , 305:803–855 (2017).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Advances in Mathematics , 305:803–855 (2017)

Reference 11

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Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

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This paper cites Selecta Mathematica, 24:3241–3281 (2018).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Selecta Mathematica, 24:3241–3281 (2018)

Reference 13

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This paper cites Foundations of Computational Mathematics, 22(5), 1395–1462 (2022).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Foundations of Computational Mathematics, 22(5), 1395–1462 (2022)

Reference 14

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This paper cites In 10th In- novations in Theoretical Computer Science Conference (ITCS 2019) (Leibniz In- ternational Proceedings in Informatics (LIPIcs), Vol.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In 10th In- novations in Theoretical Computer Science Conference (ITCS 2019) (Leibniz In- ternational Proceedings in Informatics (LIPIcs), Vol

Reference 15

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This paper cites Israel Journal of Mathematics , 153:355–380 (2006).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Israel Journal of Mathematics , 153:355–380 (2006)

Reference 16

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This paper cites and Riener, C.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry and Riener, C

Reference 17

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This paper cites and Riener, C.: Symmetric non-negative forms and sums of squares.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry and Riener, C.: Symmetric non-negative forms and sums of squares

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This paper cites Springer Science & Business Media (2012).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Springer Science & Business Media (2012)

Reference 19

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This paper cites Banach Center Publications, 44(1):37–50 (1998).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Banach Center Publications, 44(1):37–50 (1998)

Reference 20

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Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry W., Davenport, J

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This paper cites MIT Press, Cambridge, MA (1987).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry MIT Press, Cambridge, MA (1987)

Reference 22

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This paper cites The Computer Journal, 36(5), 504–514 (1993).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry The Computer Journal, 36(5), 504–514 (1993)

Reference 23

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This paper cites N.: Finding connected components of a semialgebraic set in subexponential time.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry N.: Finding connected components of a semialgebraic set in subexponential time

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This paper cites In: Proceedings of the 45th International Symposium on Sym- bolic and Algebraic Computation (ISSAC 2020) , pp.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: Proceedings of the 45th International Symposium on Sym- bolic and Algebraic Computation (ISSAC 2020) , pp

Reference 25

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This paper cites Journal of Symbolic Computation, 115, 320–345 (2023).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Journal of Symbolic Computation, 115, 320–345 (2023)

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Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

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This paper cites E.: Quantifier elimination for real closed fields by cylindrical algebraic decomposition.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry E.: Quantifier elimination for real closed fields by cylindrical algebraic decomposition

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This paper cites K., She, A., Srinivasan, S.: Schur polynomials do not have small formulas if the determinant does not.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry K., She, A., Srinivasan, S.: Schur polynomials do not have small formulas if the determinant does not

Reference 29

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Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry H., May, J

Reference 30

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This paper cites In: Proceedings of the 2009 Interna- tional Symposium on Symbolic and Algebraic Computation, pp.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: Proceedings of the 2009 Interna- tional Symposium on Symbolic and Algebraic Computation, pp

Reference 31

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Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Y., Reznick, B.: Sums of squares of real polynomials

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This paper cites H., Heintz, J.: Real quantifier elimination is doubly exponential.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry H., Heintz, J.: Real quantifier elimination is doubly exponential

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This paper cites W.: Groups generated by reflections and aspherical manifolds not covered by Euclidean space.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry W.: Groups generated by reflections and aspherical manifolds not covered by Euclidean space

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Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry W.: The Geometry and Topology of Coxeter Groups

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This paper cites Journal of Symbolic Computation, 119:112–144 (2023).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Journal of Symbolic Computation, 119:112–144 (2023)

Reference 36

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This paper cites Verdure, H.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Verdure, H

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Observation cd600380-08de-45b7-bf4f-220b0af04954 · outbound

This paper cites Posets for Specht ideals of essential real reflection groups.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Posets for Specht ideals of essential real reflection groups

Reference 38

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local_arxiv, observed 2026-08-06T10:34:19.722372Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 5e70bc62-f2ec-4548-b062-2ddf4712c5b3 · outbound

This paper cites Springer (2015).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Springer (2015)

Reference 39

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no resolver link, observed 2026-08-06T10:34:17.004766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:34:17.004766Z digest=sha256:d6a1c84520c85e55ea1eedd0c70ae81f9e3f36941efaafbeea5c2d30734ca335

Observation c7d7ee10-e0dd-4b05-b69e-56b1b1cce670 · outbound

This paper cites L.: Systems of linear inequalities.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry L.: Systems of linear inequalities

Reference 40

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raw_fallback, observed 2026-08-06T10:34:20.594689Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:17.099264Z digest=sha256:bd7153730b9457e12efd8f345e43bb59c8aec78bdaa1187105b06ce40da8b25b

Observation d4491ba9-68f3-426a-8e0f-5176e0224fb3 · outbound

This paper cites 248, Cambridge University Press, Cambridge (1998).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry 248, Cambridge University Press, Cambridge (1998)

Reference 41

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raw_fallback, observed 2026-08-06T10:34:20.582358Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 790d4aa5-68d7-46a8-9733-94d9ecf8e0c3 · outbound

This paper cites Graduate Texts in Mathematics, vol.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Graduate Texts in Mathematics, vol

Reference 42

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raw_fallback, observed 2026-08-06T10:34:20.570940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:17.256154Z digest=sha256:4969fab6baf2505ecd8b3030d1ec4d3b8b32a11b5ee565482139c615dc0d4798

Observation cf0f91a4-bbb4-422d-9fb7-1910636937d4 · outbound

This paper cites In: Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC 2020), pp.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC 2020), pp

Reference 43

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raw_fallback, observed 2026-08-06T10:34:20.559248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:17.316310Z digest=sha256:30e6cf49a9a932aab1464eae49fd9351632634d8eee3a6a6db55dfab7b16835f

Observation 851dd7e7-ea38-4c71-8e9e-a1f2984ff2c8 · outbound

This paper cites H.: Cylindrical Algebraic Decomposition with Equational Constraints.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry H.: Cylindrical Algebraic Decomposition with Equational Constraints

Reference 44

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raw_fallback, observed 2026-08-06T10:34:20.547699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation aaa89a88-af3b-4710-9c7f-2575e6ad3f4e · outbound

This paper cites X.: Computing critical points for invariant algebraic systems.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry X.: Computing critical points for invariant algebraic systems

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:34:20.535880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e31e9988-ead8-4598-bfe2-eb4227f91a44 · outbound

This paper cites Sanyal, R.: Reflection groups, reflection arrangements, and invariant real varieties.Proceedings of the American Mathematical Society, 146(3) (2018).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Sanyal, R.: Reflection groups, reflection arrangements, and invariant real varieties.Proceedings of the American Mathematical Society, 146(3) (2018)

Reference 46

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raw_fallback, observed 2026-08-06T10:34:20.523749Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:17.663620Z digest=sha256:8b8a353a6a2601587bc74c8c79eaa3b85f5e6fab9164613f7ff30eb861d649e1

Observation 668d7a1e-07ca-46f9-9470-be22d630e67c · outbound

This paper cites an unresolved cited work.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

Reference 47

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unresolved
raw_fallback, observed 2026-08-06T10:34:20.512271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:17.808243Z digest=sha256:52a388c35c5c6a3772f53624c8911119e19fe17bab834f242855ffc0c9a8ffa1

Observation b4bf7d12-632d-4b6b-a7ce-ecb0d7ede243 · outbound

This paper cites A.: Symmetry groups, semidefinite programs, and sums of squares.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry A.: Symmetry groups, semidefinite programs, and sums of squares

Reference 48

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.501730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:17.902937Z digest=sha256:ee46c78be27958d7abf6efcaf648e21f8f542a4688f58c6de4b0429cd34ae93f

Observation 871ca03e-9d3d-4c1e-8ff4-b3088a4429b3 · outbound

This paper cites Applicable Algebra in Engineering, Communication and Computing 14, 1, 11–3 (2003).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Applicable Algebra in Engineering, Communication and Computing 14, 1, 11–3 (2003)

Reference 49

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raw_fallback, observed 2026-08-06T10:34:20.490588Z

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Observation e1ba5508-9c55-445d-a689-ee557370c9e1 · outbound

This paper cites an unresolved cited work.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

Reference 50

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raw_fallback, observed 2026-08-06T10:34:20.478256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 012b413c-302d-46ce-8e6e-7cffafa7c540 · outbound

This paper cites M: Evaluation properties of symmetric polyno- mials.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry M: Evaluation properties of symmetric polyno- mials

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:34:20.466472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0b31b394-5e27-41b7-9930-79e2a4fa0f02 · outbound

This paper cites In: AAECC, vol.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: AAECC, vol

Reference 52

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.453775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:18.328586Z digest=sha256:ff4eb54c49bd3f5c426b7859bfb3b1523f0e04ea922c37abd447a57af3242658

Observation 2f5bffe7-be5d-428b-ba74-a08374ba0ad1 · outbound

This paper cites Linear Algebra and its Applications , 496:114–120 (2016).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Linear Algebra and its Applications , 496:114–120 (2016)

Reference 53

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.442406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:18.476899Z digest=sha256:c1e934a62b2cd7c33bd67a0af26987958a843f6c68a9715960cac4c56dcc68e4

Observation 223a04ad-ef90-4b47-9f78-796f49f29ca2 · outbound

This paper cites Journal of Symbolic Computation, 74, 603-616 (2016).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Journal of Symbolic Computation, 74, 603-616 (2016)

Reference 54

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.431302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:18.620324Z digest=sha256:8429a2b70593ac11e92ff1eaf05fd09cf2a8aca201719d2ed2931bc85d8dafe3

Observation 273e44b6-bd5c-4d70-a5a2-53884aa406e7 · outbound

This paper cites B.: Moments of random variables and the equivariant Morse lemma.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry B.: Moments of random variables and the equivariant Morse lemma

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:34:20.420016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:18.701996Z digest=sha256:b87cb90744306ea54a5a67e8f3b57b03132bd80e590aa1dfd49f15efd8e62563

Observation abc7262e-b7d9-4dee-a682-68adae16f8a9 · outbound

This paper cites In: AAECC-11, pp.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: AAECC-11, pp

Reference 56

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verified fuzzy
raw_fallback, observed 2026-08-06T10:34:20.408666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f13981ab-981a-4de8-ae20-c93cd1eef580 · outbound

This paper cites an unresolved cited work.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:34:20.397232Z

Source-reported events for the cited work

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Observation d782af1b-cc91-4ff6-a898-07fdd17fe6f9 · outbound

This paper cites an unresolved cited work.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

Reference 58

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.386884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1a01e8f9-42ac-4ec6-a0eb-85e42c8f9c78 · outbound

This paper cites an unresolved cited work.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:34:20.376422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3eae55ba-384f-4fae-9483-8ac68b9cbab4 · outbound

This paper cites an unresolved cited work.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

Reference 60

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.118601Z digest=sha256:9435372caaf2d0a79f1fc50a522061edf876dacf7030aaefaf6f737dc36bcab1

Observation 51ef092d-e3e6-4ba2-b6ef-22f00e6f8d62 · outbound

This paper cites Journal of Symbolic Computation, 5, 37–64 (1988).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Journal of Symbolic Computation, 5, 37–64 (1988)

Reference 61

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.355655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.200115Z digest=sha256:a2f92a29c896f5505280d9e0123928644f9b840ec5626feee54f09ec86c0b206

Observation 035d5956-68db-4e14-82ad-c70df7dacb15 · outbound

This paper cites Yu., Vorobjov, N.: Counting connected components of a semialgebraic set in subexponential time.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Yu., Vorobjov, N.: Counting connected components of a semialgebraic set in subexponential time

Reference 62

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.344451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.271310Z digest=sha256:1a3c1c128352eea478b1fe73a055834f70cc3f5d92ebaa23a649b8deb2c76903

Observation 7affdf3a-0a59-4c39-b978-84a6d7c54851 · outbound

This paper cites Appli- cable Algebra in Engineering, Communication and Computing, 4(4):239–252 (1993).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Appli- cable Algebra in Engineering, Communication and Computing, 4(4):239–252 (1993)

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:34:20.332413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.285275Z digest=sha256:55c4e2cbdaee991bfd40e4ca349b6196b58b4403b6f841b7caf35a1d3c1f6648

Observation a6866ec2-c5ac-463b-867c-735f9672c0a7 · outbound

This paper cites The Computer Journal, 36(5), 427–431 (1993).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry The Computer Journal, 36(5), 427–431 (1993)

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:34:20.320151Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.297159Z digest=sha256:187e001e13fc587d9003e7180f39996e524135cfe81977923612acd1604e21a8

Observation 2a54ba8a-c19c-4fcc-8145-4f786201ad14 · outbound

This paper cites Springer Science & Business Me- dia (2013).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Springer Science & Business Me- dia (2013)

Reference 65

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.308550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.301066Z digest=sha256:05201bdf301532e624f90a0983d7271d6d8257d0256b3ed2dfb82f72fb9db3ea

Observation deb78f18-68b2-422e-9653-938937bfefd6 · outbound

This paper cites In: ICALP, pp.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: ICALP, pp

Reference 66

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.297717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.305530Z digest=sha256:83fcb3901684432c0d0eddc1303a4620348c1b1a70ad40789d1e5cf1cc24f9c0

Observation 7e6603bc-2447-4825-9b31-14dee3da9089 · outbound

This paper cites In: Algebraic Geometry and its Applications: Col- lections of Papers from Shreeram S.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: Algebraic Geometry and its Applications: Col- lections of Papers from Shreeram S

Reference 67

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.286800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.309433Z digest=sha256:c5a4d2044faa9e372e4aa3bb2605d097a6eb537883748fbb7653fa1c10725b13

Observation d8a3e818-1af1-4dfd-aaf1-ec43a11058d3 · outbound

This paper cites In: Proceedings of Artificial Intelligence and Symbolic Mathematical Computing, Lec- ture Notes in Computer Science, vol.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: Proceedings of Artificial Intelligence and Symbolic Mathematical Computing, Lec- ture Notes in Computer Science, vol

Reference 68

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.276333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.313424Z digest=sha256:434e4dc03253cdcd8d6c307ad61ebfdfb39c0a515b77b5281b7b86096bb08859

Observation a85d46fa-3403-4bd6-8825-b9a79602dc25 · outbound

This paper cites In: Proceedings of the 53rd IEEE Conference on Decision and Control , pp.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: Proceedings of the 53rd IEEE Conference on Decision and Control , pp

Reference 69

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.265409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.317900Z digest=sha256:44ecfdf2940d4dbac57c6750feaee8adc66621ee5ec9e3caa2d2f5193a3329ef

Observation 25727154-6f83-45c4-9bf3-00bc362fbc0a · outbound

This paper cites Springer (2005).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Springer (2005)

Reference 70

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.254403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.321977Z digest=sha256:0529dfa0cec04499a8ec40dbb686a9bc51bf0656159b3253e08b8bbb2a4309fe

Observation 3fad8507-8282-4bd2-8a14-85ab600f479e · outbound

This paper cites an unresolved cited work.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:34:20.242507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.326950Z digest=sha256:018558f830390808f9e244320eb869fcde98acc000515cd27387372f3040b4ea

Observation 3d77dc31-5fba-4b65-8dc8-65b97ad42f47 · outbound

This paper cites an unresolved cited work.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:34:20.230231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.330536Z digest=sha256:ffab0237c73590e2712f38a1e38232a15fe0a087fff58d8e30309ac2ea01ed56

Observation 8d5e13a6-a112-4921-abe9-401ec7d85873 · outbound

This paper cites P.: On the geometric properties of Vandermonde’s mapping and on the problem of moments.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry P.: On the geometric properties of Vandermonde’s mapping and on the problem of moments

Reference 73

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.218687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.334137Z digest=sha256:cddbb5d3e7d27fcc66d894ee84724a9a846e2e034e25eb08d2b415f4acf7f12c

Observation be29756c-f53f-4310-a424-b9e84fe4b356 · outbound

This paper cites Notes by R.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Notes by R

Reference 74

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.338682Z digest=sha256:3b6c9a40e8de3dc39b304cfaffd0a66069ae0d07656227ad1289222b83fba545

Observation 3185bce3-377c-43a4-97b9-57148cd1e75e · outbound

This paper cites an unresolved cited work.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

Reference 75

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.342781Z digest=sha256:22a9d81ee67de24453555e83a325bfbdff7122b456055c1360542c201548f21d

Observation 78c83e8f-7bde-49b0-9d68-e88658dfc298 · outbound

This paper cites X.: Homotopy techniques for solving sparse column support determinantal polynomial systems.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry X.: Homotopy techniques for solving sparse column support determinantal polynomial systems

Reference 76

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raw_fallback, observed 2026-08-06T10:34:20.185014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.346867Z digest=sha256:16008affa4bf11b1cc6ed33f696e4a6981bdcdcf4749c00b80e5ea5b171a456a

Observation f9aabc32-9a35-44ac-ba29-ac747443f437 · outbound

This paper cites X.: Faster real root decision algorithm for symmetric polynomials.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry X.: Faster real root decision algorithm for symmetric polynomials

Reference 77

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raw_fallback, observed 2026-08-06T10:34:20.174459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.351034Z digest=sha256:dd5eca71b5b17c74d86d5cde3b65e3e006356e1671b92e39801cad7ddc8d0f4a

Observation ae0144fb-6461-4cbe-bae2-24199bc782e1 · outbound

This paper cites B.: Global optimization with polynomials and the problem of moments.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry B.: Global optimization with polynomials and the problem of moments

Reference 78

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raw_fallback, observed 2026-08-06T10:34:20.162860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.354780Z digest=sha256:18aae10f41a2ae6ea273997d25d8181707d233eb75630982ccb786bdbe802a2d

Observation 769daa2c-5d34-4e02-9c9a-a2e9b74b330d · outbound

This paper cites Cambridge University Press (1916).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Cambridge University Press (1916)

Reference 79

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raw_fallback, observed 2026-08-06T10:34:20.151681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.359425Z digest=sha256:5d1c1794b128a0489609f02899533ca3d1acc210197c44297a3e91f3629a9143

Observation ecbb85a3-cdd6-40d5-954a-6e22841c6cc8 · outbound

This paper cites G.: Symmetric Functions and Hall Polynomials, 2nd Edition.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry G.: Symmetric Functions and Hall Polynomials, 2nd Edition

Reference 80

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raw_fallback, observed 2026-08-06T10:34:20.140383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.363961Z digest=sha256:f9ba3bafbe3265921ce218ac7bdba697cbb0da3a20d04045e8db792f2d87eb9a

Observation aab0eb0b-9b6d-49db-9da8-26a1b9c91968 · outbound

This paper cites PhD thesis, University of Wisconsin-Madison (1984).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry PhD thesis, University of Wisconsin-Madison (1984)

Reference 81

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raw_fallback, observed 2026-08-06T10:34:20.127984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.367903Z digest=sha256:f20d281104a7fdad995335bb9771ddbbdba5b140426b6644a335cc650ef2732f

Observation 61a16d36-b7aa-4c0d-b9f3-dcaee456c5bb · outbound

This paper cites In: Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation (ISSAC), pp.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation (ISSAC), pp

Reference 82

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raw_fallback, observed 2026-08-06T10:34:20.117094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.371525Z digest=sha256:2aa01c88c1aa54de411daa011c11030573149de240094402a80c03ffd08650b0

Observation f852c3b0-4c37-44e8-90ff-8e49c64ec230 · outbound

This paper cites Mathematische Zeitschrift , 211:449–460 (1992).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Mathematische Zeitschrift , 211:449–460 (1992)

Reference 83

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raw_fallback, observed 2026-08-06T10:34:20.106101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.375541Z digest=sha256:7c07eb30443fa5b1e51ff786add3bec120be0680a269b1651f2e0a272b6528b1

Observation 2403390a-eb8a-406e-b06b-fe471b703835 · outbound

This paper cites Journal of Symbolic Computation , 107:106–121 (2021).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Journal of Symbolic Computation , 107:106–121 (2021)

Reference 84

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raw_fallback, observed 2026-08-06T10:34:20.093670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.379215Z digest=sha256:2c1fa37888c8bc6688f66770820a853f4eaf895fdc53d98ee5c87cf82d7dd123

Observation 032aa193-4c22-42a4-b538-9c2e2ec48922 · outbound

This paper cites A.: Structured semidefinite programs and semialgebraic geometry meth- ods in robustness and optimization.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry A.: Structured semidefinite programs and semialgebraic geometry meth- ods in robustness and optimization

Reference 85

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raw_fallback, observed 2026-08-06T10:34:20.083227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.382697Z digest=sha256:1cb5c9f2c7f2d9fd93a167a2175315632ab326a6314e4150831ed8b34a3c497d

Observation 6ef46d86-3178-4d81-8556-db73f722d8da · outbound

This paper cites Journal of Symbolic Computation , 120:102234 (2024).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Journal of Symbolic Computation , 120:102234 (2024)

Reference 86

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raw_fallback, observed 2026-08-06T10:34:20.070167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.386542Z digest=sha256:3e0aa2dd7df34737cd6317ce77a833fdbbbfd3a76e0355d7ccc31d2a854c1096

Observation d069bbf9-d884-495d-b29f-0e54f420acc8 · outbound

This paper cites arXiv preprint arXiv:2402.03111 (2024).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry arXiv preprint arXiv:2402.03111 (2024)

Reference 87

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raw_fallback, observed 2026-08-06T10:34:19.706343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.390201Z digest=sha256:276290aa8e1ced0b7d3da1489e6a959d0b2e75f0aa84587696339cad0184084d

Observation e37736df-3861-4eb8-9261-cdbeb483deb0 · outbound

This paper cites A, Delzell, C.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry A, Delzell, C

Reference 88

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raw_fallback, observed 2026-08-06T10:34:20.058999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.393709Z digest=sha256:5e8d4eb2961bcf4ddba99d2ada6da15f9d9396d7138ebdbcdc733e960f80d9f8

Observation 0905ff1c-28a1-4b3c-9473-a2ec6cb87708 · outbound

This paper cites Journal of Symbolic Computation, 13(3), 255–352 (1992).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Journal of Symbolic Computation, 13(3), 255–352 (1992)

Reference 89

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raw_fallback, observed 2026-08-06T10:34:20.048757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.397591Z digest=sha256:248af3c9e73d995cf107df154071d7b4ccb264d77149d2b2e992f951d5af64a1

Observation 2f065e7a-43a4-4263-96aa-b31f4b5375fb · outbound

This paper cites Journal of Pure and Applied Algebra, 216(4), 850-856 (2012) 59.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Journal of Pure and Applied Algebra, 216(4), 850-856 (2012) 59

Reference 90

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raw_fallback, observed 2026-08-06T10:34:20.038133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.401178Z digest=sha256:47a578a6a4b6a6b4a4890f6f6f4cc60bc850aedba51483921977fb702514ec36

Observation f7d2cd16-e9ed-40b3-a330-d5b02ff59e04 · outbound

This paper cites J., Lasserre, J.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry J., Lasserre, J

Reference 91

Resolution
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raw_fallback, observed 2026-08-06T10:34:20.026577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.404879Z digest=sha256:d0f517d4ee458f7ce1a2207b899fbc7d01346715a90e0348d580137dab8db295

Observation 781641b6-406e-4937-b564-5e54d774000b · outbound

This paper cites an unresolved cited work.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Unresolved cited work

Reference 92

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.408399Z digest=sha256:627d43fa9baffd9e5bb9ec5f34296e668bab9a8ee3d1c69b67c2ce5df9aa4d60

Observation 5b7b143f-61cc-466b-b3ab-e1763df6834a · outbound

This paper cites Symmetries in semidefinite and polynomial optimization: relaxations, combinatorics, and the degree principle.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Symmetries in semidefinite and polynomial optimization: relaxations, combinatorics, and the degree principle

Reference 93

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raw_fallback, observed 2026-08-06T10:34:20.004648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.412202Z digest=sha256:1edf4d63a77cabe2babb8220d5fb459efeb0bc964fbfc65e65471d4cf8ecfae9

Observation 49e7b465-d7da-465f-81bb-d00970a74cdf · outbound

This paper cites In: Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation, pp.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry In: Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation, pp

Reference 94

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raw_fallback, observed 2026-08-06T10:34:19.992498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.415752Z digest=sha256:8b4e9c30e41b24b40c955a4a389594fe24adfcbe38e6a0d24d8690702a3f9429

Observation 3f322cd5-fb35-4c71-811c-8bc837f1acfd · outbound

This paper cites X.: Connectivity in symmetric semi-algebraic sets.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry X.: Connectivity in symmetric semi-algebraic sets

Reference 95

Resolution
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raw_fallback, observed 2026-08-06T10:34:19.981489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.420366Z digest=sha256:a3aa8dcaea4df1e8ad0fa05cb3f9431fbd7c796b86574ecb4688e0f1b9ac2708

Observation 95cd0908-7af1-4bc3-afd3-54616792af74 · outbound

This paper cites Deciding Connectivity in Symmetric Semi-Algebraic Sets.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Deciding Connectivity in Symmetric Semi-Algebraic Sets

Reference 96

Resolution
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no resolver link, observed 2026-08-06T10:34:19.424243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:34:19.424243Z digest=sha256:f19a54c1b5372778eebc55dfa5439844f3ea24d694a04e30e5d416e4b1aea7a9

Observation f43a568c-05d8-4ed4-8d42-654b3a3ab3b7 · outbound

This paper cites Schabert, R.: Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions, Journal of Pure and Applied Algebra, 228 (5), 107552 (2025).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Schabert, R.: Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions, Journal of Pure and Applied Algebra, 228 (5), 107552 (2025)

Reference 97

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raw_fallback, observed 2026-08-06T10:34:19.970067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.428235Z digest=sha256:09aab1a8b9bac5826ce1c434125ba8cf028541e8ff1178091f7ec0cc8d0eaff0

Observation b60268b6-2b96-4089-8d8a-7a7a3cdb66be · outbound

This paper cites Applicable Algebra in Engineering, Communication and Computing , 9(5):433–461 (1999).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Applicable Algebra in Engineering, Communication and Computing , 9(5):433–461 (1999)

Reference 98

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raw_fallback, observed 2026-08-06T10:34:19.957762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.432813Z digest=sha256:4675fdfe76734e84c2e75d7fe91421fc17c1dc2e9b20632449d5752a07265466

Observation 7213cbaa-0393-44c9-a2c5-40bef7d4e308 · outbound

This paper cites Discrete & Computa- tional Geometry, 45(1):181–220 (2011).

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Discrete & Computa- tional Geometry, 45(1):181–220 (2011)

Reference 99

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raw_fallback, observed 2026-08-06T10:34:19.946407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.436844Z digest=sha256:e066e8ccf498c08638a0c28c95dcf5f4925c1a21e55957ae0fe403670c83ff98

Observation edd74216-7aa3-47a7-ab72-e4c609a0f79c · outbound

This paper cites and Schost, ´E.: A nearly optimal algorithm for deciding con- nectivity queries in smooth and bounded real algebraic sets.

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry and Schost, ´E.: A nearly optimal algorithm for deciding con- nectivity queries in smooth and bounded real algebraic sets

Reference 100

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raw_fallback, observed 2026-08-06T10:34:19.935434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T10:34:19.440560Z digest=sha256:9e1ea02b16ed2ee940cfb895e726e748d0cae11c1407aefcd1e05f3073fdc6fd

Pith citing papers

No inbound Pith citation observations are available.