Teaching thermo-chemical equilibrium using a MATLAB algorithm Article Swipe
Pradeep Kumar Jha
,
Luca Massa
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.18260/1-2-1153-52613
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.18260/1-2-1153-52613
The chemical equilibrium model is significantly more accurate than the perfect gas model when calculating constant heat release as pertains to systems taught in courses within the thermo-fluid area of mechanical and aerospace engineering curricula, including thermodynamics, propulsion, and internal combustion engines. This paper presents a novel approach to teaching chemical equilibrium using a method based on matrix factorization. The advantages of the present approach, when compared to previous algorithms based on constrained optimization, are the straightforward formulation and the ease of implementation in MATLAB. The formulation is straightforward because it emphasizes that the equilibrium composition is based on thermodynamic considerations and thus, does not require knowledge of reaction paths. The implementation is simple because it avoids summation over chemical elements and species in favor of a singular value decomposition and matrix-vector multiplications. The teaching effectiveness of the new formulation is tested using an in-class survey. Based on the students’ feedback, we find that this module proved beneficial towards developing a sound understanding of the topic.
Related Topics
Concepts
MATLAB
Chemical equilibrium
Computer science
Singular value decomposition
Aerospace
Combustion
Simple (philosophy)
Decomposition
Algorithm
Matrix (chemical analysis)
Mathematical optimization
Mathematics
Chemistry
Aerospace engineering
Physical chemistry
Engineering
Philosophy
Chromatography
Operating system
Epistemology
Organic chemistry
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.18260/1-2-1153-52613
- https://peer.asee.org/52613.pdf
- OA Status
- gold
- Cited By
- 1
- References
- 6
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2188409011
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W2188409011Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.18260/1-2-1153-52613Digital Object Identifier
- Title
-
Teaching thermo-chemical equilibrium using a MATLAB algorithmWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2025Year of publication
- Publication date
-
2025-02-27Full publication date if available
- Authors
-
Pradeep Kumar Jha, Luca MassaList of authors in order
- Landing page
-
https://doi.org/10.18260/1-2-1153-52613Publisher landing page
- PDF URL
-
https://peer.asee.org/52613.pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://peer.asee.org/52613.pdfDirect OA link when available
- Concepts
-
MATLAB, Chemical equilibrium, Computer science, Singular value decomposition, Aerospace, Combustion, Simple (philosophy), Decomposition, Algorithm, Matrix (chemical analysis), Mathematical optimization, Mathematics, Chemistry, Aerospace engineering, Physical chemistry, Engineering, Philosophy, Chromatography, Operating system, Epistemology, Organic chemistryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
1Total citation count in OpenAlex
- Citations by year (recent)
-
2018: 1Per-year citation counts (last 5 years)
- References (count)
-
6Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W2188409011 |
|---|---|
| doi | https://doi.org/10.18260/1-2-1153-52613 |
| ids.doi | https://doi.org/10.18260/1-2-1153-52613 |
| ids.mag | 2188409011 |
| ids.openalex | https://openalex.org/W2188409011 |
| fwci | 0.0 |
| type | article |
| title | Teaching thermo-chemical equilibrium using a MATLAB algorithm |
| biblio.issue | 3 |
| biblio.volume | 5 |
| biblio.last_page | |
| biblio.first_page | 93 |
| topics[0].id | https://openalex.org/T11820 |
| topics[0].field.id | https://openalex.org/fields/32 |
| topics[0].field.display_name | Psychology |
| topics[0].score | 0.9769999980926514 |
| topics[0].domain.id | https://openalex.org/domains/2 |
| topics[0].domain.display_name | Social Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/3204 |
| topics[0].subfield.display_name | Developmental and Educational Psychology |
| topics[0].display_name | Learning Styles and Cognitive Differences |
| topics[1].id | https://openalex.org/T11053 |
| topics[1].field.id | https://openalex.org/fields/22 |
| topics[1].field.display_name | Engineering |
| topics[1].score | 0.9700999855995178 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2207 |
| topics[1].subfield.display_name | Control and Systems Engineering |
| topics[1].display_name | Process Optimization and Integration |
| topics[2].id | https://openalex.org/T10791 |
| topics[2].field.id | https://openalex.org/fields/22 |
| topics[2].field.display_name | Engineering |
| topics[2].score | 0.9369999766349792 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2207 |
| topics[2].subfield.display_name | Control and Systems Engineering |
| topics[2].display_name | Advanced Control Systems Optimization |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C2780365114 |
| concepts[0].level | 2 |
| concepts[0].score | 0.6750937104225159 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q169478 |
| concepts[0].display_name | MATLAB |
| concepts[1].id | https://openalex.org/C73051877 |
| concepts[1].level | 2 |
| concepts[1].score | 0.6360862255096436 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q189520 |
| concepts[1].display_name | Chemical equilibrium |
| concepts[2].id | https://openalex.org/C41008148 |
| concepts[2].level | 0 |
| concepts[2].score | 0.6020264029502869 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[2].display_name | Computer science |
| concepts[3].id | https://openalex.org/C22789450 |
| concepts[3].level | 2 |
| concepts[3].score | 0.5534487366676331 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q420904 |
| concepts[3].display_name | Singular value decomposition |
| concepts[4].id | https://openalex.org/C167740415 |
| concepts[4].level | 2 |
| concepts[4].score | 0.5077205896377563 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q2876213 |
| concepts[4].display_name | Aerospace |
| concepts[5].id | https://openalex.org/C105923489 |
| concepts[5].level | 2 |
| concepts[5].score | 0.47387954592704773 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q133235 |
| concepts[5].display_name | Combustion |
| concepts[6].id | https://openalex.org/C2780586882 |
| concepts[6].level | 2 |
| concepts[6].score | 0.4624856114387512 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q7520643 |
| concepts[6].display_name | Simple (philosophy) |
| concepts[7].id | https://openalex.org/C124681953 |
| concepts[7].level | 2 |
| concepts[7].score | 0.45267391204833984 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q339062 |
| concepts[7].display_name | Decomposition |
| concepts[8].id | https://openalex.org/C11413529 |
| concepts[8].level | 1 |
| concepts[8].score | 0.42722076177597046 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q8366 |
| concepts[8].display_name | Algorithm |
| concepts[9].id | https://openalex.org/C106487976 |
| concepts[9].level | 2 |
| concepts[9].score | 0.41289305686950684 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q685816 |
| concepts[9].display_name | Matrix (chemical analysis) |
| concepts[10].id | https://openalex.org/C126255220 |
| concepts[10].level | 1 |
| concepts[10].score | 0.3286786377429962 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q141495 |
| concepts[10].display_name | Mathematical optimization |
| concepts[11].id | https://openalex.org/C33923547 |
| concepts[11].level | 0 |
| concepts[11].score | 0.1889362633228302 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[11].display_name | Mathematics |
| concepts[12].id | https://openalex.org/C185592680 |
| concepts[12].level | 0 |
| concepts[12].score | 0.1589249074459076 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q2329 |
| concepts[12].display_name | Chemistry |
| concepts[13].id | https://openalex.org/C146978453 |
| concepts[13].level | 1 |
| concepts[13].score | 0.10174936056137085 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q3798668 |
| concepts[13].display_name | Aerospace engineering |
| concepts[14].id | https://openalex.org/C147789679 |
| concepts[14].level | 1 |
| concepts[14].score | 0.09695380926132202 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q11372 |
| concepts[14].display_name | Physical chemistry |
| concepts[15].id | https://openalex.org/C127413603 |
| concepts[15].level | 0 |
| concepts[15].score | 0.09509867429733276 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q11023 |
| concepts[15].display_name | Engineering |
| concepts[16].id | https://openalex.org/C138885662 |
| concepts[16].level | 0 |
| concepts[16].score | 0.0 |
| concepts[16].wikidata | https://www.wikidata.org/wiki/Q5891 |
| concepts[16].display_name | Philosophy |
| concepts[17].id | https://openalex.org/C43617362 |
| concepts[17].level | 1 |
| concepts[17].score | 0.0 |
| concepts[17].wikidata | https://www.wikidata.org/wiki/Q170050 |
| concepts[17].display_name | Chromatography |
| concepts[18].id | https://openalex.org/C111919701 |
| concepts[18].level | 1 |
| concepts[18].score | 0.0 |
| concepts[18].wikidata | https://www.wikidata.org/wiki/Q9135 |
| concepts[18].display_name | Operating system |
| concepts[19].id | https://openalex.org/C111472728 |
| concepts[19].level | 1 |
| concepts[19].score | 0.0 |
| concepts[19].wikidata | https://www.wikidata.org/wiki/Q9471 |
| concepts[19].display_name | Epistemology |
| concepts[20].id | https://openalex.org/C178790620 |
| concepts[20].level | 1 |
| concepts[20].score | 0.0 |
| concepts[20].wikidata | https://www.wikidata.org/wiki/Q11351 |
| concepts[20].display_name | Organic chemistry |
| keywords[0].id | https://openalex.org/keywords/matlab |
| keywords[0].score | 0.6750937104225159 |
| keywords[0].display_name | MATLAB |
| keywords[1].id | https://openalex.org/keywords/chemical-equilibrium |
| keywords[1].score | 0.6360862255096436 |
| keywords[1].display_name | Chemical equilibrium |
| keywords[2].id | https://openalex.org/keywords/computer-science |
| keywords[2].score | 0.6020264029502869 |
| keywords[2].display_name | Computer science |
| keywords[3].id | https://openalex.org/keywords/singular-value-decomposition |
| keywords[3].score | 0.5534487366676331 |
| keywords[3].display_name | Singular value decomposition |
| keywords[4].id | https://openalex.org/keywords/aerospace |
| keywords[4].score | 0.5077205896377563 |
| keywords[4].display_name | Aerospace |
| keywords[5].id | https://openalex.org/keywords/combustion |
| keywords[5].score | 0.47387954592704773 |
| keywords[5].display_name | Combustion |
| keywords[6].id | https://openalex.org/keywords/simple |
| keywords[6].score | 0.4624856114387512 |
| keywords[6].display_name | Simple (philosophy) |
| keywords[7].id | https://openalex.org/keywords/decomposition |
| keywords[7].score | 0.45267391204833984 |
| keywords[7].display_name | Decomposition |
| keywords[8].id | https://openalex.org/keywords/algorithm |
| keywords[8].score | 0.42722076177597046 |
| keywords[8].display_name | Algorithm |
| keywords[9].id | https://openalex.org/keywords/matrix |
| keywords[9].score | 0.41289305686950684 |
| keywords[9].display_name | Matrix (chemical analysis) |
| keywords[10].id | https://openalex.org/keywords/mathematical-optimization |
| keywords[10].score | 0.3286786377429962 |
| keywords[10].display_name | Mathematical optimization |
| keywords[11].id | https://openalex.org/keywords/mathematics |
| keywords[11].score | 0.1889362633228302 |
| keywords[11].display_name | Mathematics |
| keywords[12].id | https://openalex.org/keywords/chemistry |
| keywords[12].score | 0.1589249074459076 |
| keywords[12].display_name | Chemistry |
| keywords[13].id | https://openalex.org/keywords/aerospace-engineering |
| keywords[13].score | 0.10174936056137085 |
| keywords[13].display_name | Aerospace engineering |
| keywords[14].id | https://openalex.org/keywords/physical-chemistry |
| keywords[14].score | 0.09695380926132202 |
| keywords[14].display_name | Physical chemistry |
| keywords[15].id | https://openalex.org/keywords/engineering |
| keywords[15].score | 0.09509867429733276 |
| keywords[15].display_name | Engineering |
| language | en |
| locations[0].id | doi:10.18260/1-2-1153-52613 |
| locations[0].is_oa | True |
| locations[0].source | |
| locations[0].license | |
| locations[0].pdf_url | https://peer.asee.org/52613.pdf |
| locations[0].version | publishedVersion |
| locations[0].raw_type | proceedings-article |
| locations[0].license_id | |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | 2013 GSW Proceedings |
| locations[0].landing_page_url | https://doi.org/10.18260/1-2-1153-52613 |
| locations[1].id | mag:2188409011 |
| locations[1].is_oa | False |
| locations[1].source.id | https://openalex.org/S4306532076 |
| locations[1].source.issn | |
| locations[1].source.type | journal |
| locations[1].source.is_oa | False |
| locations[1].source.issn_l | |
| locations[1].source.is_core | True |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | The ASEE Computers in Education (CoED) Journal |
| locations[1].source.host_organization | |
| locations[1].source.host_organization_name | |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | The ASEE Computers in Education (CoED) Journal |
| locations[1].landing_page_url | http://asee-coed.org/index.php/coed/article/view/Jha_Teaching/Jha%20pdf |
| indexed_in | crossref |
| authorships[0].author.id | https://openalex.org/A5045636935 |
| authorships[0].author.orcid | https://orcid.org/0000-0003-2289-1513 |
| authorships[0].author.display_name | Pradeep Kumar Jha |
| authorships[0].countries | US |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I189196454 |
| authorships[0].affiliations[0].raw_affiliation_string | Mechanical and Aerospace Engineering Department#R##N#University of Texas at Arlington |
| authorships[0].institutions[0].id | https://openalex.org/I189196454 |
| authorships[0].institutions[0].ror | https://ror.org/019kgqr73 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I189196454 |
| authorships[0].institutions[0].country_code | US |
| authorships[0].institutions[0].display_name | The University of Texas at Arlington |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | P. Jha |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | Mechanical and Aerospace Engineering Department#R##N#University of Texas at Arlington |
| authorships[1].author.id | https://openalex.org/A5079409910 |
| authorships[1].author.orcid | |
| authorships[1].author.display_name | Luca Massa |
| authorships[1].countries | US |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I189196454 |
| authorships[1].affiliations[0].raw_affiliation_string | Mechanical and Aerospace Engineering Department#R##N#University of Texas at Arlington |
| authorships[1].institutions[0].id | https://openalex.org/I189196454 |
| authorships[1].institutions[0].ror | https://ror.org/019kgqr73 |
| authorships[1].institutions[0].type | education |
| authorships[1].institutions[0].lineage | https://openalex.org/I189196454 |
| authorships[1].institutions[0].country_code | US |
| authorships[1].institutions[0].display_name | The University of Texas at Arlington |
| authorships[1].author_position | last |
| authorships[1].raw_author_name | L. Massa |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | Mechanical and Aerospace Engineering Department#R##N#University of Texas at Arlington |
| has_content.pdf | True |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://peer.asee.org/52613.pdf |
| open_access.oa_status | gold |
| open_access.any_repository_has_fulltext | False |
| created_date | 2016-06-24T00:00:00 |
| display_name | Teaching thermo-chemical equilibrium using a MATLAB algorithm |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T11820 |
| primary_topic.field.id | https://openalex.org/fields/32 |
| primary_topic.field.display_name | Psychology |
| primary_topic.score | 0.9769999980926514 |
| primary_topic.domain.id | https://openalex.org/domains/2 |
| primary_topic.domain.display_name | Social Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/3204 |
| primary_topic.subfield.display_name | Developmental and Educational Psychology |
| primary_topic.display_name | Learning Styles and Cognitive Differences |
| related_works | https://openalex.org/W4225795411, https://openalex.org/W2511013388, https://openalex.org/W2044192478, https://openalex.org/W2064861618, https://openalex.org/W4378695326, https://openalex.org/W29956273, https://openalex.org/W2356599848, https://openalex.org/W2089786029, https://openalex.org/W4253188448, https://openalex.org/W2026582445 |
| cited_by_count | 1 |
| counts_by_year[0].year | 2018 |
| counts_by_year[0].cited_by_count | 1 |
| locations_count | 2 |
| best_oa_location.id | doi:10.18260/1-2-1153-52613 |
| best_oa_location.is_oa | True |
| best_oa_location.source | |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://peer.asee.org/52613.pdf |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | proceedings-article |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | 2013 GSW Proceedings |
| best_oa_location.landing_page_url | https://doi.org/10.18260/1-2-1153-52613 |
| primary_location.id | doi:10.18260/1-2-1153-52613 |
| primary_location.is_oa | True |
| primary_location.source | |
| primary_location.license | |
| primary_location.pdf_url | https://peer.asee.org/52613.pdf |
| primary_location.version | publishedVersion |
| primary_location.raw_type | proceedings-article |
| primary_location.license_id | |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | 2013 GSW Proceedings |
| primary_location.landing_page_url | https://doi.org/10.18260/1-2-1153-52613 |
| publication_date | 2025-02-27 |
| publication_year | 2025 |
| referenced_works | https://openalex.org/W94203212, https://openalex.org/W1592407967, https://openalex.org/W2339787942, https://openalex.org/W2041822426, https://openalex.org/W1785309004, https://openalex.org/W1097734671 |
| referenced_works_count | 6 |
| abstract_inverted_index.a | 45, 53, 126, 160 |
| abstract_inverted_index.an | 143 |
| abstract_inverted_index.as | 18 |
| abstract_inverted_index.in | 23, 83, 123 |
| abstract_inverted_index.is | 4, 87, 96, 112, 140 |
| abstract_inverted_index.it | 90, 115 |
| abstract_inverted_index.of | 29, 61, 81, 107, 125, 136, 163 |
| abstract_inverted_index.on | 56, 71, 98, 147 |
| abstract_inverted_index.to | 20, 48, 67 |
| abstract_inverted_index.we | 151 |
| abstract_inverted_index.The | 0, 59, 85, 110, 133 |
| abstract_inverted_index.and | 31, 38, 78, 101, 121, 130 |
| abstract_inverted_index.are | 74 |
| abstract_inverted_index.gas | 11 |
| abstract_inverted_index.new | 138 |
| abstract_inverted_index.not | 104 |
| abstract_inverted_index.the | 9, 26, 62, 75, 79, 93, 137, 148, 164 |
| abstract_inverted_index.This | 42 |
| abstract_inverted_index.area | 28 |
| abstract_inverted_index.does | 103 |
| abstract_inverted_index.ease | 80 |
| abstract_inverted_index.find | 152 |
| abstract_inverted_index.heat | 16 |
| abstract_inverted_index.more | 6 |
| abstract_inverted_index.over | 118 |
| abstract_inverted_index.than | 8 |
| abstract_inverted_index.that | 92, 153 |
| abstract_inverted_index.this | 154 |
| abstract_inverted_index.when | 13, 65 |
| abstract_inverted_index.Based | 146 |
| abstract_inverted_index.based | 55, 70, 97 |
| abstract_inverted_index.favor | 124 |
| abstract_inverted_index.model | 3, 12 |
| abstract_inverted_index.novel | 46 |
| abstract_inverted_index.paper | 43 |
| abstract_inverted_index.sound | 161 |
| abstract_inverted_index.thus, | 102 |
| abstract_inverted_index.using | 52, 142 |
| abstract_inverted_index.value | 128 |
| abstract_inverted_index.avoids | 116 |
| abstract_inverted_index.matrix | 57 |
| abstract_inverted_index.method | 54 |
| abstract_inverted_index.module | 155 |
| abstract_inverted_index.paths. | 109 |
| abstract_inverted_index.proved | 156 |
| abstract_inverted_index.simple | 113 |
| abstract_inverted_index.taught | 22 |
| abstract_inverted_index.tested | 141 |
| abstract_inverted_index.topic. | 165 |
| abstract_inverted_index.within | 25 |
| abstract_inverted_index.MATLAB. | 84 |
| abstract_inverted_index.because | 89, 114 |
| abstract_inverted_index.courses | 24 |
| abstract_inverted_index.perfect | 10 |
| abstract_inverted_index.present | 63 |
| abstract_inverted_index.release | 17 |
| abstract_inverted_index.require | 105 |
| abstract_inverted_index.species | 122 |
| abstract_inverted_index.survey. | 145 |
| abstract_inverted_index.systems | 21 |
| abstract_inverted_index.towards | 158 |
| abstract_inverted_index.accurate | 7 |
| abstract_inverted_index.approach | 47 |
| abstract_inverted_index.chemical | 1, 50, 119 |
| abstract_inverted_index.compared | 66 |
| abstract_inverted_index.constant | 15 |
| abstract_inverted_index.elements | 120 |
| abstract_inverted_index.engines. | 41 |
| abstract_inverted_index.in-class | 144 |
| abstract_inverted_index.internal | 39 |
| abstract_inverted_index.pertains | 19 |
| abstract_inverted_index.presents | 44 |
| abstract_inverted_index.previous | 68 |
| abstract_inverted_index.reaction | 108 |
| abstract_inverted_index.singular | 127 |
| abstract_inverted_index.teaching | 49, 134 |
| abstract_inverted_index.aerospace | 32 |
| abstract_inverted_index.approach, | 64 |
| abstract_inverted_index.feedback, | 150 |
| abstract_inverted_index.including | 35 |
| abstract_inverted_index.knowledge | 106 |
| abstract_inverted_index.summation | 117 |
| abstract_inverted_index.advantages | 60 |
| abstract_inverted_index.algorithms | 69 |
| abstract_inverted_index.beneficial | 157 |
| abstract_inverted_index.combustion | 40 |
| abstract_inverted_index.curricula, | 34 |
| abstract_inverted_index.developing | 159 |
| abstract_inverted_index.emphasizes | 91 |
| abstract_inverted_index.mechanical | 30 |
| abstract_inverted_index.calculating | 14 |
| abstract_inverted_index.composition | 95 |
| abstract_inverted_index.constrained | 72 |
| abstract_inverted_index.engineering | 33 |
| abstract_inverted_index.equilibrium | 2, 51, 94 |
| abstract_inverted_index.formulation | 77, 86, 139 |
| abstract_inverted_index.propulsion, | 37 |
| abstract_inverted_index.students’ | 149 |
| abstract_inverted_index.thermo-fluid | 27 |
| abstract_inverted_index.decomposition | 129 |
| abstract_inverted_index.effectiveness | 135 |
| abstract_inverted_index.matrix-vector | 131 |
| abstract_inverted_index.optimization, | 73 |
| abstract_inverted_index.significantly | 5 |
| abstract_inverted_index.thermodynamic | 99 |
| abstract_inverted_index.understanding | 162 |
| abstract_inverted_index.considerations | 100 |
| abstract_inverted_index.factorization. | 58 |
| abstract_inverted_index.implementation | 82, 111 |
| abstract_inverted_index.straightforward | 76, 88 |
| abstract_inverted_index.thermodynamics, | 36 |
| abstract_inverted_index.multiplications. | 132 |
| cited_by_percentile_year.max | 94 |
| cited_by_percentile_year.min | 90 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.00037768 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |