Different cultures of computation in seventh century China from the viewpoint of square root extraction
The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is ana...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhu, Yiwen [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
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| Schlagwörter: |
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| Umfang: |
23 |
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| Übergeordnetes Werk: |
Enthalten in: Effect of ferrous iron loading on dewaterability, heavy metal removal and bacterial community of digested sludge by - Cai, Guiqin ELSEVIER, 2021, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:43 ; year:2016 ; number:1 ; pages:3-25 ; extent:23 |
| Links: |
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| DOI / URN: |
10.1016/j.hm.2015.03.002 |
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ELV019356439 |
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| 520 | |a The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. | ||
| 520 | |a The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. | ||
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10.1016/j.hm.2015.03.002 doi GBVA2016010000016.pica (DE-627)ELV019356439 (ELSEVIER)S0315-0860(15)00038-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 333.7 690 VZ 48.00 bkl Zhu, Yiwen verfasserin aut Different cultures of computation in seventh century China from the viewpoint of square root extraction 2016transfer abstract 23 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. Tang dynasty Elsevier Mathematical Procedures of the Five Canons Elsevier Jia Gongyan Elsevier Rites of Zhou Dynasty Elsevier Li Chunfeng Elsevier Square root extraction Elsevier Enthalten in Elsevier Cai, Guiqin ELSEVIER Effect of ferrous iron loading on dewaterability, heavy metal removal and bacterial community of digested sludge by 2021 Amsterdam [u.a.] (DE-627)ELV006363407 volume:43 year:2016 number:1 pages:3-25 extent:23 https://doi.org/10.1016/j.hm.2015.03.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-FOR 48.00 Land- und Forstwirtschaft: Allgemeines VZ AR 43 2016 1 3-25 23 045F 510 |
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10.1016/j.hm.2015.03.002 doi GBVA2016010000016.pica (DE-627)ELV019356439 (ELSEVIER)S0315-0860(15)00038-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 333.7 690 VZ 48.00 bkl Zhu, Yiwen verfasserin aut Different cultures of computation in seventh century China from the viewpoint of square root extraction 2016transfer abstract 23 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. Tang dynasty Elsevier Mathematical Procedures of the Five Canons Elsevier Jia Gongyan Elsevier Rites of Zhou Dynasty Elsevier Li Chunfeng Elsevier Square root extraction Elsevier Enthalten in Elsevier Cai, Guiqin ELSEVIER Effect of ferrous iron loading on dewaterability, heavy metal removal and bacterial community of digested sludge by 2021 Amsterdam [u.a.] (DE-627)ELV006363407 volume:43 year:2016 number:1 pages:3-25 extent:23 https://doi.org/10.1016/j.hm.2015.03.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-FOR 48.00 Land- und Forstwirtschaft: Allgemeines VZ AR 43 2016 1 3-25 23 045F 510 |
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10.1016/j.hm.2015.03.002 doi GBVA2016010000016.pica (DE-627)ELV019356439 (ELSEVIER)S0315-0860(15)00038-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 333.7 690 VZ 48.00 bkl Zhu, Yiwen verfasserin aut Different cultures of computation in seventh century China from the viewpoint of square root extraction 2016transfer abstract 23 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. Tang dynasty Elsevier Mathematical Procedures of the Five Canons Elsevier Jia Gongyan Elsevier Rites of Zhou Dynasty Elsevier Li Chunfeng Elsevier Square root extraction Elsevier Enthalten in Elsevier Cai, Guiqin ELSEVIER Effect of ferrous iron loading on dewaterability, heavy metal removal and bacterial community of digested sludge by 2021 Amsterdam [u.a.] (DE-627)ELV006363407 volume:43 year:2016 number:1 pages:3-25 extent:23 https://doi.org/10.1016/j.hm.2015.03.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-FOR 48.00 Land- und Forstwirtschaft: Allgemeines VZ AR 43 2016 1 3-25 23 045F 510 |
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10.1016/j.hm.2015.03.002 doi GBVA2016010000016.pica (DE-627)ELV019356439 (ELSEVIER)S0315-0860(15)00038-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 333.7 690 VZ 48.00 bkl Zhu, Yiwen verfasserin aut Different cultures of computation in seventh century China from the viewpoint of square root extraction 2016transfer abstract 23 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. Tang dynasty Elsevier Mathematical Procedures of the Five Canons Elsevier Jia Gongyan Elsevier Rites of Zhou Dynasty Elsevier Li Chunfeng Elsevier Square root extraction Elsevier Enthalten in Elsevier Cai, Guiqin ELSEVIER Effect of ferrous iron loading on dewaterability, heavy metal removal and bacterial community of digested sludge by 2021 Amsterdam [u.a.] (DE-627)ELV006363407 volume:43 year:2016 number:1 pages:3-25 extent:23 https://doi.org/10.1016/j.hm.2015.03.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-FOR 48.00 Land- und Forstwirtschaft: Allgemeines VZ AR 43 2016 1 3-25 23 045F 510 |
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10.1016/j.hm.2015.03.002 doi GBVA2016010000016.pica (DE-627)ELV019356439 (ELSEVIER)S0315-0860(15)00038-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 333.7 690 VZ 48.00 bkl Zhu, Yiwen verfasserin aut Different cultures of computation in seventh century China from the viewpoint of square root extraction 2016transfer abstract 23 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. Tang dynasty Elsevier Mathematical Procedures of the Five Canons Elsevier Jia Gongyan Elsevier Rites of Zhou Dynasty Elsevier Li Chunfeng Elsevier Square root extraction Elsevier Enthalten in Elsevier Cai, Guiqin ELSEVIER Effect of ferrous iron loading on dewaterability, heavy metal removal and bacterial community of digested sludge by 2021 Amsterdam [u.a.] (DE-627)ELV006363407 volume:43 year:2016 number:1 pages:3-25 extent:23 https://doi.org/10.1016/j.hm.2015.03.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-FOR 48.00 Land- und Forstwirtschaft: Allgemeines VZ AR 43 2016 1 3-25 23 045F 510 |
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different cultures of computation in seventh century china from the viewpoint of square root extraction |
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Different cultures of computation in seventh century China from the viewpoint of square root extraction |
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The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. |
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The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. |
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The aim of this paper is to bring to light a previously unknown geometrical method for extracting the square root in seventh century China. In order to achieve this goal, a seventh century commentary by the scholar Jia Gongyan, 賈公彥, on a Confucian canon, the Rites of Zhou Dynasty [Zhouli 周禮], is analysed. This is compared with the commentary by his contemporary Li Chunfeng, 李淳風, which is referred to in another mathematical book, the Mathematical Procedures of the Five Canons, [Wujing Suanshu 五經筭術]. Although these two scholars probably knew each other, they used very different methods to solve the same problem in relation to square root extraction. It is argued that the differences mainly lie in two aspects: firstly, Jia Gongyan mostly made use of geometry while Li Chunfeng used counting rods; secondly, the two methods had different geometrical interpretations. Given the fact that the method of square root extraction Jia Gongyan uses is one among many other methods he employed in mathematics, and it has the same features as the others; moreover, other commentators on the Confucian Canons use similar mathematical methods, this paper closes with a general discussion on mathematical cultures. It is suggested that there were three elements to mathematical practice in seventh century China: geometry, counting rods, and written texts. The interplay and structure between the three elements is seen to influence mathematical practices. |
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