A Step-by-Step Solution Methodology for Mathematical Expressions

In this paper, we propose a methodology for the step-by-step solution of problems, which can be incorporated into a computer algebra system. Our main aim is to show all the intermediate evaluation steps of mathematical expressions from the start to the end of the solution. The first stage of the met...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Symmetry (Basel) Ročník 10; číslo 7; s. 285
Hlavní autoři: Hosseinpour, Sahereh, Alavi Milani, Mir Mohammad Reza, Pehlivan, Hüseyin
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.07.2018
Témata:
Algebra
Algorithms
Computer algebra
Computer engineering
Education
Functions (mathematics)
Lie groups
Mathematics
Methodology
Methods
Nodes
Polynomials
Programming languages
Semantics
Syntax
Teaching
New York
Turkey
United Kingdom > UK
Aachen Germany
United States > US
ISSN:2073-8994, 2073-8994
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract In this paper, we propose a methodology for the step-by-step solution of problems, which can be incorporated into a computer algebra system. Our main aim is to show all the intermediate evaluation steps of mathematical expressions from the start to the end of the solution. The first stage of the methodology covers the development of a formal grammar that describes the syntax and semantics of mathematical expressions. Using a compiler generation tool, the second stage produces a parser from the grammar description. The parser is used to convert a particular mathematical expression into an Abstract Syntax Tree (AST), which is evaluated in the third stage by traversing al its nodes. After every evaluation of some nodes, which corresponds to an intermediate solution step of the related expression, the resulting AST is transformed into the corresponding mathematical expression and then displayed. Many other algebra-related issues such as simplification, factorization, distribution and substitution can be covered by the solution methodology. We currently focuses on the solutions of various problems associated with the subject of derivative, equations, single variable polynomials, and operations on functions. However, it can easily be extended to cover the other subjects of general mathematics.
AbstractList In this paper, we propose a methodology for the step-by-step solution of problems, which can be incorporated into a computer algebra system. Our main aim is to show all the intermediate evaluation steps of mathematical expressions from the start to the end of the solution. The first stage of the methodology covers the development of a formal grammar that describes the syntax and semantics of mathematical expressions. Using a compiler generation tool, the second stage produces a parser from the grammar description. The parser is used to convert a particular mathematical expression into an Abstract Syntax Tree (AST), which is evaluated in the third stage by traversing al its nodes. After every evaluation of some nodes, which corresponds to an intermediate solution step of the related expression, the resulting AST is transformed into the corresponding mathematical expression and then displayed. Many other algebra-related issues such as simplification, factorization, distribution and substitution can be covered by the solution methodology. We currently focuses on the solutions of various problems associated with the subject of derivative, equations, single variable polynomials, and operations on functions. However, it can easily be extended to cover the other subjects of general mathematics.
Author Alavi Milani, Mir Mohammad Reza
Pehlivan, Hüseyin
Hosseinpour, Sahereh
Author_xml – sequence: 1
  givenname: Sahereh
  surname: Hosseinpour
  fullname: Hosseinpour, Sahereh
– sequence: 2
  givenname: Mir Mohammad Reza
  surname: Alavi Milani
  fullname: Alavi Milani, Mir Mohammad Reza
– sequence: 3
  givenname: Hüseyin
  orcidid: 0000-0002-0672-9009
  surname: Pehlivan
  fullname: Pehlivan, Hüseyin
BookMark eNptkM1Lw0AQxRdRsNae_AcCHiU6-9XN3iylfkCLh-o5bDYTm5Jm4-4WzH9vSj0UcS5vDr_3hnlX5Lx1LRJyQ-Gecw0Pod9RAAUsk2dkxEDxNNNanJ_sl2QSwhaGkSDFFEbkcZasI3Zp0acHTdau2cfatckK48aVrnGffVI5n6xM3ODOxNqaJll8dx5DGLhwTS4q0wSc_OqYfDwt3ucv6fLt-XU-W6aW6SymWDBLZaEVA1kVBqaGlRkTAFohZWwqeKWt4RK1AqVLUVJquEBlNWUFMs3H5PaY23n3tccQ863b-3Y4mTPKJFAhhpAxoUfKeheCxyq3dTSHh6I3dZNTyA9d5SddDZ67P57O1zvj-3_pHxcSawc
CitedBy_id crossref_primary_10_18016_ksutarimdoga_vi_988517
crossref_primary_10_3390_math6110254
crossref_primary_10_1007_s13399_021_02094_5
Cites_doi 10.1007/978-3-7091-3406-1
10.1145/237477.237479
10.1007/978-94-009-1465-0_10
10.1137/0218082
10.1109/TLT.2013.4
10.1023/A:1022103903080
10.1201/9780203758212
10.1145/362007.362035
10.1017/S0305004100027614
10.2307/749591
10.1002/spe.4380220703
10.5951/MT.87.6.0440
10.1145/143242.143359
10.1086/444175
10.1093/oso/9780195113679.001.0001
10.1109/ICDIM.2007.4444297
10.1007/BF03217369
10.1109/MS.2004.16
10.1119/1.17307
10.1109/5254.889104
10.1145/800204.806298
10.1145/1993498.1993505
10.1109/TLT.2012.19
10.1201/9781439863701
10.5951/jresematheduc.19.1.0003
10.1007/BF01600333
10.1007/3-540-12868-9
10.1145/330908.331843
ContentType Journal Article
Copyright 2018. This work is licensed under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2018. This work is licensed under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID AAYXX
CITATION
7SC
7SR
7U5
8BQ
8FD
8FE
8FG
ABJCF
ABUWG
AFKRA
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
H8D
HCIFZ
JG9
JQ2
L6V
L7M
L~C
L~D
M7S
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
DOI 10.3390/sym10070285
DatabaseName CrossRef
Computer and Information Systems Abstracts
Engineered Materials Abstracts
Solid State and Superconductivity Abstracts
METADEX
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
ProQuest Central Essentials - QC
ProQuest Central
Technology Collection
ProQuest One Community College
ProQuest Central
Aerospace Database
SciTech Premium Collection
Materials Research Database
ProQuest Computer Science Collection
ProQuest Engineering Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
Engineering Database
ProQuest Central Premium
ProQuest One Academic
Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
DatabaseTitle CrossRef
Publicly Available Content Database
Materials Research Database
Technology Collection
Technology Research Database
Computer and Information Systems Abstracts – Academic
ProQuest One Academic Middle East (New)
ProQuest Central Essentials
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Central China
ProQuest Central
ProQuest One Applied & Life Sciences
Aerospace Database
Engineered Materials Abstracts
ProQuest Engineering Collection
ProQuest Central Korea
ProQuest Central (New)
Advanced Technologies Database with Aerospace
Engineering Collection
Engineering Database
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest SciTech Collection
METADEX
Computer and Information Systems Abstracts Professional
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
Solid State and Superconductivity Abstracts
ProQuest One Academic
ProQuest One Academic (New)
DatabaseTitleList Publicly Available Content Database
CrossRef
Database_xml – sequence: 1
  dbid: PIMPY
  name: Publicly Available Content Database
  url: http://search.proquest.com/publiccontent
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Sciences (General)
Education
Mathematics
EISSN 2073-8994
ExternalDocumentID 10_3390_sym10070285
GeographicLocations New York
Turkey
United Kingdom--UK
Aachen Germany
United States--US
GeographicLocations_xml – name: New York
– name: Aachen Germany
– name: United Kingdom--UK
– name: United States--US
– name: Turkey
GroupedDBID 5VS
8FE
8FG
AADQD
AAYXX
ABDBF
ABJCF
ACUHS
ADBBV
ADMLS
AFFHD
AFKRA
AFZYC
ALMA_UNASSIGNED_HOLDINGS
AMVHM
BCNDV
BENPR
BGLVJ
CCPQU
CITATION
E3Z
ESX
GX1
HCIFZ
IAO
IPNFZ
J9A
KQ8
L6V
M7S
MODMG
M~E
OK1
PHGZM
PHGZT
PIMPY
PQGLB
PROAC
PTHSS
RIG
TR2
TUS
7SC
7SR
7U5
8BQ
8FD
ABUWG
AZQEC
DWQXO
H8D
JG9
JQ2
L7M
L~C
L~D
PKEHL
PQEST
PQQKQ
PQUKI
PRINS
ID FETCH-LOGICAL-c298t-eb2c15b97205fba06a2d8240097e122643f9ca35e97079d4d11a34e7c912be293
IEDL.DBID BENPR
ISICitedReferencesCount 7
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000440215400055&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 2073-8994
IngestDate Fri Jul 25 12:05:55 EDT 2025
Sat Nov 29 07:12:53 EST 2025
Tue Nov 18 21:39:50 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 7
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c298t-eb2c15b97205fba06a2d8240097e122643f9ca35e97079d4d11a34e7c912be293
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-0672-9009
OpenAccessLink https://www.proquest.com/docview/2125014464?pq-origsite=%requestingapplication%
PQID 2125014464
PQPubID 2032326
ParticipantIDs proquest_journals_2125014464
crossref_citationtrail_10_3390_sym10070285
crossref_primary_10_3390_sym10070285
PublicationCentury 2000
PublicationDate 2018-07-01
PublicationDateYYYYMMDD 2018-07-01
PublicationDate_xml – month: 07
  year: 2018
  text: 2018-07-01
  day: 01
PublicationDecade 2010
PublicationPlace Basel
PublicationPlace_xml – name: Basel
PublicationTitle Symmetry (Basel)
PublicationYear 2018
Publisher MDPI AG
Publisher_xml – name: MDPI AG
References ref_50
Herget (ref_30) 2000; 16
ref_14
ref_58
ref_13
ref_57
ref_12
ref_55
ref_10
ref_54
ref_19
ref_18
ref_17
ref_16
ref_15
ref_59
Kashy (ref_40) 1993; 61
Artigue (ref_7) 2002; 7
ref_61
Kodaganallur (ref_56) 2004; 21
Bennett (ref_31) 1995; 2
ref_25
ref_24
ref_22
ref_21
ref_20
ref_63
Zhang (ref_23) 1989; 18
ref_27
ref_26
(ref_51) 1994; 1
Repo (ref_35) 1994; 1
Kurz (ref_52) 2005; 5
Geraniou (ref_42) 2012; 5
Handal (ref_53) 2003; 15
ref_36
ref_33
Earley (ref_60) 1970; 13
Hosseinpour (ref_11) 2017; 3
ref_39
ref_38
Dragon (ref_41) 2013; 6
Palmiter (ref_6) 1991; 22
Graver (ref_62) 1992; 22
Drijvers (ref_28) 1998; 5
Heid (ref_29) 1988; 1
Maehly (ref_47) 1954; 5
Hearst (ref_37) 2000; 15
ref_46
ref_45
ref_44
ref_43
ref_1
ref_3
ref_2
ref_49
ref_48
Dunham (ref_5) 1994; 87
ref_9
ref_8
Heid (ref_34) 1997; 106
ref_4
Day (ref_32) 1993; 12
References_xml – ident: ref_9
– ident: ref_18
  doi: 10.1007/978-3-7091-3406-1
– ident: ref_49
– ident: ref_44
  doi: 10.1145/237477.237479
– ident: ref_55
– ident: ref_26
– volume: 12
  start-page: 29
  year: 1993
  ident: ref_32
  article-title: Algebra and technology
  publication-title: J. Comput. Math. Sci. Teach.
– ident: ref_33
  doi: 10.1007/978-94-009-1465-0_10
– volume: 18
  start-page: 1245
  year: 1989
  ident: ref_23
  article-title: Simple fast algorithms for the editing distance between trees and related problems
  publication-title: SIAM J. Comput.
  doi: 10.1137/0218082
– volume: 6
  start-page: 197
  year: 2013
  ident: ref_41
  article-title: Metafora: A web-based platform for learning to learn together in science and mathematics
  publication-title: IEEE Trans. Learn. Technol.
  doi: 10.1109/TLT.2013.4
– volume: 7
  start-page: 245
  year: 2002
  ident: ref_7
  article-title: Learning mathematics in a cas environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work
  publication-title: Int. J. Comput. Math. Learn.
  doi: 10.1023/A:1022103903080
– ident: ref_3
  doi: 10.1201/9780203758212
– ident: ref_39
– ident: ref_61
– ident: ref_1
– ident: ref_58
– volume: 13
  start-page: 94
  year: 1970
  ident: ref_60
  article-title: An efficient context-free parsing algorithm
  publication-title: Commun. ACM
  doi: 10.1145/362007.362035
– ident: ref_46
  doi: 10.1017/S0305004100027614
– volume: 22
  start-page: 151
  year: 1991
  ident: ref_6
  article-title: Effects of computer algebra systems on concept and skill acquisition in calculus
  publication-title: J. Res. Math. Educ.
  doi: 10.2307/749591
– ident: ref_8
– volume: 22
  start-page: 519
  year: 1992
  ident: ref_62
  article-title: The evolution of an object-oriented compiler framework
  publication-title: Softw. Pract. Exp.
  doi: 10.1002/spe.4380220703
– ident: ref_27
– ident: ref_48
– volume: 87
  start-page: 440
  year: 1994
  ident: ref_5
  article-title: Research on graphing calculators
  publication-title: Math. Teach.
  doi: 10.5951/MT.87.6.0440
– ident: ref_10
  doi: 10.1145/143242.143359
– volume: 106
  start-page: 5
  year: 1997
  ident: ref_34
  article-title: The technological revolution and the reform of school mathematics
  publication-title: Am. J. Educ.
  doi: 10.1086/444175
– volume: 16
  start-page: 8
  year: 2000
  ident: ref_30
  article-title: Indispensable Manual Calculation Skills in a Cas Environment
  publication-title: Micromath
– ident: ref_22
  doi: 10.1093/oso/9780195113679.001.0001
– ident: ref_13
– ident: ref_38
– ident: ref_17
– ident: ref_20
  doi: 10.1109/ICDIM.2007.4444297
– ident: ref_59
– volume: 15
  start-page: 59
  year: 2003
  ident: ref_53
  article-title: Mathematics teachers’ beliefs and curriculum reform
  publication-title: Math. Educ. Res. J.
  doi: 10.1007/BF03217369
– volume: 21
  start-page: 70
  year: 2004
  ident: ref_56
  article-title: Incorporating language processing into java applications: A javacc tutorial
  publication-title: IEEE Softw.
  doi: 10.1109/MS.2004.16
– ident: ref_24
– volume: 61
  start-page: 1124
  year: 1993
  ident: ref_40
  article-title: Capa—An integrated computer-assisted personalized assignment system
  publication-title: Am. J. Phys.
  doi: 10.1119/1.17307
– volume: 15
  start-page: 22
  year: 2000
  ident: ref_37
  article-title: The debate on automated essay grading
  publication-title: IEEE Intell. Syst. Their Appl.
  doi: 10.1109/5254.889104
– volume: 5
  start-page: 81
  year: 1998
  ident: ref_28
  article-title: Assessment and new technologies: Different policies in different countries
  publication-title: Int. J. Comput. Algebra Math. Educ.
– ident: ref_19
  doi: 10.1145/800204.806298
– ident: ref_14
– volume: 2
  start-page: 3
  year: 1995
  ident: ref_31
  article-title: Calculus for general education in a computer classroom
  publication-title: Int. Derive J.
– ident: ref_63
– volume: 3
  start-page: 27
  year: 2017
  ident: ref_11
  article-title: A grammar-based methodology for producing mathematical expressions
  publication-title: Int. J. Innov. Stud. Sci. Eng. Technol.
– ident: ref_12
  doi: 10.1145/1993498.1993505
– volume: 5
  start-page: 366
  year: 2012
  ident: ref_42
  article-title: Design of teacher assistance tools in an exploratory learning environment for algebraic generalization
  publication-title: IEEE Trans. Learn. Technol.
  doi: 10.1109/TLT.2012.19
– ident: ref_21
– volume: 5
  start-page: 123
  year: 2005
  ident: ref_52
  article-title: A taxonomy of technological tools for mathematics instruction
  publication-title: Contemp. Issues Technol. Teach. Educ.
– ident: ref_25
– ident: ref_50
– ident: ref_54
– ident: ref_2
– volume: 1
  start-page: 97
  year: 1994
  ident: ref_35
  article-title: Understanding and reflective abstraction: Learning the concept of derivative in a computer environment
  publication-title: Int. Derive J.
– ident: ref_16
  doi: 10.1201/9781439863701
– volume: 1
  start-page: 3
  year: 1988
  ident: ref_29
  article-title: Resequencing skills and concepts in applied calculus using the computer as a tool
  publication-title: J. For Res. Math. Educ.
  doi: 10.5951/jresematheduc.19.1.0003
– volume: 5
  start-page: 260
  year: 1954
  ident: ref_47
  article-title: Zur iterativen auflösung algebraischer gleichungen
  publication-title: Zeitschrift für Angewandte Mathematik und Physik ZAMP
  doi: 10.1007/BF01600333
– ident: ref_15
– ident: ref_4
  doi: 10.1007/3-540-12868-9
– ident: ref_36
– ident: ref_43
– ident: ref_57
– volume: 1
  start-page: 83
  year: 1994
  ident: ref_51
  article-title: Lıe, a software package for lie group computations
  publication-title: Euromath. Bull.
– ident: ref_45
  doi: 10.1145/330908.331843
SSID ssj0000505460
Score 2.1261222
Snippet In this paper, we propose a methodology for the step-by-step solution of problems, which can be incorporated into a computer algebra system. Our main aim is to...
SourceID proquest
crossref
SourceType Aggregation Database
Enrichment Source
Index Database
StartPage 285
SubjectTerms Algebra
Algorithms
Computer algebra
Computer engineering
Education
Functions (mathematics)
Lie groups
Mathematics
Methodology
Methods
Nodes
Polynomials
Programming languages
Semantics
Syntax
Teaching
Title A Step-by-Step Solution Methodology for Mathematical Expressions
URI https://www.proquest.com/docview/2125014464
Volume 10
WOSCitedRecordID wos000440215400055&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVHPJ
  databaseName: ROAD: Directory of Open Access Scholarly Resources
  customDbUrl:
  eissn: 2073-8994
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000505460
  issn: 2073-8994
  databaseCode: M~E
  dateStart: 20080101
  isFulltext: true
  titleUrlDefault: https://road.issn.org
  providerName: ISSN International Centre
– providerCode: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 2073-8994
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000505460
  issn: 2073-8994
  databaseCode: M7S
  dateStart: 20090301
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central (subscription)
  customDbUrl:
  eissn: 2073-8994
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000505460
  issn: 2073-8994
  databaseCode: BENPR
  dateStart: 20090301
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Publicly Available Content Database
  customDbUrl:
  eissn: 2073-8994
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000505460
  issn: 2073-8994
  databaseCode: PIMPY
  dateStart: 20090301
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/publiccontent
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT8JAEJ4oeNCDCmpEkfTAQU029LFld0-KBqKJEOIreGr62CYmWpCikYu_3Z12AUmMFy9t0m7aprM7OzP77fcB1KnrRzxSaQnlTkCoiBnxTUmJ7bgy4FJdyOiLH29Yr8cHA9HXBbdUwypnPjFz1NEwxBp5Q7lYXAKjTXo2eiOoGoWrq1pCYxWKyFRGC1C8aPf6t_MqC-q00aaZb8xzVH7fSKevCAxQ06q7PBUte-Jseuls_ffDtmFTB5ZGK-8JJViRSRk1mTV-owwb3TlDa1qGkh7UqXGsmadPduC8ZSDqiwRTgmdjVjMzupnOdFaBN1SUaywepV7Z_tRg2iTdhYdO-_7yimiJBRLagk-IyqtDyw0Es003Dnyz6dsRR1ipYNLCPbZOLEJf2U0gk15EI8vyHSpZKCw7kCpU2INCMkzkPhgqFGBNN45VQMioyxk3bWkFromaC2Fgswqczv62F2r-cZTBePFUHoKm8X6YpgL1eeNRTrvxe7PqzCaeHnuptzDIwd-3D2FdhT88B99WoTAZv8sjWAs_Js_puKa7Ug3RoHd4_Gqra_3rbv_pG6nG1Vs
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1JSwMxFH6UKqgHl6pY1xwUVAidyWSa5CBaXFBsi-BCb-MsGRC0rU5d-qf8jebNUhXEmwdPAzNhtnx8eS_58j6ATe76kYxMWsKlE1CuYkF9S3PKHFcHUpsTafnim6Zot2Wnoy5K8F7shUFZZcGJKVFHvRDnyGuGYnEJjNf5fv-RomsUrq4WFhoZLM718NWkbMne2ZHp3y3GTo6vDk9p7ipAQ6bkgJpUMrTdQAlmuXHgW3WfRRKVlEpoG7eVOrEKffOqCovHRTyybd_hWoTKZoFmWHzJUP4YR_ZPpYKXozkddIXjdSvbBug4yqolwweUIZhB3P0-8H3n_XQwO5n5b79hFqbzsJk0MpzPQUl3K-g4natTKjDVGtWfTSowl1NWQrbzuto783DQIKhpo8GQ4pEUM4Kklbpop-sLxMTw5PNW5pHHb7lUuJsswPWffOMilLu9rl4CYgIdUXfj2IS7grtSSItpO3AtdJQIAyaqsFv0rhfm1dXR5OPeM1kWQsH7AoUqbI4a97OiIj83Wy0w4OXMknifAFj-_fIGTJxetZpe86x9vgKTJtCTmcx4FcqDp2e9BuPhy-AueVpPQUzg9q_h8gFopCsg
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1bS9xAFD6IlqIPtrtaXKt1HixUYdhkMtmZeZAqXZeKughe8C3mMoGC7qpZrfvX_HWek0zWCtI3H3wKJENu83EuM985H8C6DONMZ5iWSB0kXJpc8dizkosgtIm2eKJsX3x2oPp9fX5ujqbgsa6FIVplbRNLQ50NU1ojb6OJpS0w2ZHt3NEijrq9n9c3nBSkaKe1ltOoILJvx38xfSu29ro419-F6O2e_PrNncIAT4XRI45pZeqHiVHCC_Mk9jqxyDSxKo2yPpWYBrlJY3xtQ43kMpn5fhxIq1Lji8QKasSE5n9GSYwTStrg8WR9hxTiZMerSgKDwHjtYnxFlAR06OFLJ_jSB5SOrffpPf-SzzDvwmm2U-G_AVN20CQlasdaacLc4aQvbdGEhjNlBfvh-m1vLMD2DiOuG0_GnI6sXilkh6W6drnvwDC2Z8-3wkfuPjgK8aBYhNM3-cYvMD0YDuwSMAyAVCfMcwyDlQy10p6wfhJ6pDSRJkK1YLOe6Sh1XddJ_OMywuyLYBH9A4sWrE8GX1fNRl4ftlLjIXIWp4iewbD8_8tr8BFREh3s9fe_wizGf7piH6_A9Oj2zq7Ch_R-9Ke4_VbimcHFW6PlCd8qM-Y
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+Step-by-Step+Solution+Methodology+for+Mathematical+Expressions&rft.jtitle=Symmetry+%28Basel%29&rft.au=Hosseinpour%2C+Sahereh&rft.au=Mir+Mohammad+Reza+Alavi+Milani&rft.au=Pehlivan%2C+H%C3%BCseyin&rft.date=2018-07-01&rft.pub=MDPI+AG&rft.eissn=2073-8994&rft.volume=10&rft.issue=7&rft_id=info:doi/10.3390%2Fsym10070285&rft.externalDBID=HAS_PDF_LINK
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2073-8994&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2073-8994&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2073-8994&client=summon