Taxonomy for Mathematics Articles-11th Class: Difference between revisions
From Vidyalayawiki
(updated page) |
(page updated) |
||
(76 intermediate revisions by 3 users not shown) | |||
Line 1: | Line 1: | ||
{| class="wikitable" | {| class="wikitable" | ||
!S.No | !S.No | ||
!Chapters | !Chapters | ||
!Topics | |||
!'''Article Creator Name''' | |||
!'''अध्याय''' | !'''अध्याय''' | ||
!विषय | !विषय | ||
Line 8: | Line 9: | ||
|1 | |1 | ||
|Sets | |Sets | ||
|Sets and their representations | |1.Sets and their representations | ||
|Ramamurthy | |||
Mani | |||
|समुच्चय | |समुच्चय | ||
|[[समुच्चय और उनका निरूपण]] | |[[समुच्चय और उनका निरूपण]] | ||
Line 14: | Line 17: | ||
| | | | ||
| | | | ||
|The Empty Set | |2.The Empty Set | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[रिक्त समुच्चय]] | |[[रिक्त समुच्चय]] | ||
Line 20: | Line 25: | ||
| | | | ||
| | | | ||
|Finite and Infinite Sets | |3.Finite and Infinite Sets | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[परिमित और अपरिमित समुच्चय]] | |[[परिमित और अपरिमित समुच्चय]] | ||
Line 26: | Line 33: | ||
| | | | ||
| | | | ||
|Equal Sets | |4.Equal Sets | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[समान समुच्चय]] | |[[समान समुच्चय]] | ||
Line 32: | Line 41: | ||
| | | | ||
| | | | ||
|Subsets | |5.Subsets | ||
|Mani | |||
| | | | ||
|[[उपसमुच्चय]] | |[[उपसमुच्चय]] | ||
Line 38: | Line 48: | ||
| | | | ||
| | | | ||
| | |5.1 Subsets of set of real numbers | ||
|Mani | |||
| | | | ||
|[[ | |[[वास्तविक संख्याओं के समुच्चय के उपसमुच्चय]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |5.2 Intervals as subsets of R | ||
|Mani | |||
| | | | ||
|[[ | |[[अंतराल R के उपसमुच्चय के रूप में]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |Power Set | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[ | |[[घात समुच्चय]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |6.Universal Set | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[ | |[[सार्वत्रिक समुच्चय]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |7.Venn Diagrams | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[ | |[[वेन आरेख]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |8.Operations on Sets | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[ | |[[समुच्चयों पर संक्रियाएँ]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |9. Complement of a Set | ||
|Mani | |||
| | | | ||
|[[ | |[[समुच्चय का पूरक]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Sequences | |Sequences | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[अनुक्रम]] | |[[अनुक्रम]] | ||
Line 92: | Line 109: | ||
| | | | ||
| | | | ||
| | |8.1 Union of sets | ||
|Mani | |||
| | |||
| | | | ||
|[[सम्मिलन(समुच्चय)]] | |[[सम्मिलन(समुच्चय)]] | ||
Line 200: | Line 116: | ||
| | | | ||
| | | | ||
|Intersection | |8.2 Intersection of sets | ||
|Mani | |||
| | | | ||
|[[सर्वनिष्ट(समुच्चय)]] | |[[सर्वनिष्ट(समुच्चय)]] | ||
Line 206: | Line 123: | ||
| | | | ||
| | | | ||
| | |8.3 Difference of sets | ||
|Mani | |||
| | | | ||
|[[ | |[[समुच्चयों का अंतर]] | ||
|- | |- | ||
| | |||
| | | | ||
| | | | ||
Line 218: | Line 137: | ||
|2 | |2 | ||
|Relations and Functions | |Relations and Functions | ||
|Cartesian Product of Sets | |1.Cartesian Product of Sets | ||
|Ramamurthy | |||
Mani | |||
|संबंध और फलन | |संबंध और फलन | ||
|[[समुच्चयों का कार्टेशियन गुणन]] | |[[समुच्चयों का कार्टेशियन गुणन]] | ||
Line 224: | Line 145: | ||
| | | | ||
| | | | ||
|Relations | |2.Relations | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[संबंध]] | |[[संबंध]] | ||
Line 230: | Line 153: | ||
| | | | ||
| | | | ||
|Functions | |3.Functions | ||
|Mani | |||
| | | | ||
|[[फलन]] | |[[फलन]] | ||
Line 236: | Line 160: | ||
| | | | ||
| | | | ||
| | |3.1. Some functions and their graphs | ||
| | |Mani | ||
| | | | ||
|[[ | |[[कुछ फलन और उनके आलेख]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |3.2 Algebra of real functions | ||
|Mani | |||
| | | | ||
|[[ | |[[वास्तविक फलनों का बीजगणित]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 320: | Line 181: | ||
|3 | |3 | ||
|Trignometric Functions | |Trignometric Functions | ||
|Angles | |1.Angles | ||
|Ramamurthy | |||
Mani | |||
|त्रिकोणमितीय फलन | |त्रिकोणमितीय फलन | ||
|[[कोण]] | |[[कोण]] | ||
Line 326: | Line 189: | ||
| | | | ||
| | | | ||
| | |1.1 Degree Measure | ||
|Mani | |||
| | | | ||
|[[ | |[[डिग्री माप]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |1.2 Radian Measure | ||
|Mani | |||
| | | | ||
|[[ | |[[रेडियन माप]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |1.4 Relation between degree and radian | ||
|Mani | |||
| | | | ||
|[[ | |[[डिग्री और रेडियन के बीच संबंध]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |2.Trigonometric Functions | ||
|Mani | |||
| | | | ||
|[[ | |[[त्रिकोणमितीय फलन]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |2.1 Sign of trigonometric functions | ||
|Mani | |||
| | | | ||
|[[ | |[[त्रिकोणमितीय फलनों का चिह्न]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Trigonometric | |3.Trigonometric Functions of Sum and Difference of Two Angles | ||
|Mani | |||
| | | | ||
|[[त्रिकोणमितीय | |[[दो कोणों के योग और अंतर का त्रिकोणमितीय फलन]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |Trigonometric Equations | ||
|Mani | |||
| | | | ||
|[[ | |[[त्रिकोणमितीय समीकरण]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 381: | Line 246: | ||
|Principle of Mathematical Induction | |Principle of Mathematical Induction | ||
|Motivation | |Motivation | ||
|Mani | |||
|गणितीय आगमन का सिद्धांत | |गणितीय आगमन का सिद्धांत | ||
|[[प्रेरणा]] | |[[प्रेरणा]] | ||
Line 387: | Line 253: | ||
| | | | ||
|The Principle of Mathematical Induction | |The Principle of Mathematical Induction | ||
|Mani | |||
| | | | ||
|[[गणितीय आगमन का सिद्धांत]] | |[[गणितीय आगमन का सिद्धांत]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 410: | Line 266: | ||
|5 | |5 | ||
|Complex Numbers and Quadratic Equations | |Complex Numbers and Quadratic Equations | ||
|Complex Numbers | |1.Complex Numbers | ||
|Ramamurthy | |||
Mani | |||
|सम्मिश्र संख्याएँ और द्विघातीय समीकरण | |सम्मिश्र संख्याएँ और द्विघातीय समीकरण | ||
|[[सम्मिश्र संख्याएँ]] | |[[सम्मिश्र संख्याएँ]] | ||
Line 416: | Line 274: | ||
| | | | ||
| | | | ||
|Algebra of Complex Numbers | |2.Algebra of Complex Numbers | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[सम्मिश्र संख्याओं का बीजगणित]] | |[[सम्मिश्र संख्याओं का बीजगणित]] | ||
Line 422: | Line 282: | ||
| | | | ||
| | | | ||
|The Modulus and the Conjugate of a Complex Number | |3.The Modulus and the Conjugate of a Complex Number | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[सम्मिश्र संख्या का मापांक और संयुग्मी]] | |[[सम्मिश्र संख्या का मापांक और संयुग्मी]] | ||
Line 428: | Line 290: | ||
| | | | ||
| | | | ||
|Argand Plane and Polar Representation | |4.Argand Plane and Polar Representation | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[आर्गंड तल और ध्रुवीय निरूपण]] | |[[आर्गंड तल और ध्रुवीय निरूपण]] | ||
Line 435: | Line 299: | ||
| | | | ||
|Quadratic Equations | |Quadratic Equations | ||
|Mani | |||
| | | | ||
|[[द्विघातीय समीकरण]] | |[[द्विघातीय समीकरण]] | ||
Line 441: | Line 306: | ||
| | | | ||
|Linear equations | |Linear equations | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[रैखिक समीकरण]] | |[[रैखिक समीकरण]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Additive Inverse | |Additive Inverse | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[योगात्मक प्रतिलोम]] | |[[योगात्मक प्रतिलोम]] | ||
Line 471: | Line 322: | ||
| | | | ||
|Additive Identity | |Additive Identity | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[योगात्मक तत्समक]] | |[[योगात्मक तत्समक]] | ||
Line 477: | Line 330: | ||
| | | | ||
|Multiplicative identity | |Multiplicative identity | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[गुणात्मक तत्समक]] | |[[गुणात्मक तत्समक]] | ||
Line 483: | Line 338: | ||
| | | | ||
|Multiplicative inverse | |Multiplicative inverse | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[गुणात्मक प्रतिलोम]] | |[[गुणात्मक प्रतिलोम]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 525: | Line 353: | ||
|Linear Inequalities | |Linear Inequalities | ||
|Inequalities | |Inequalities | ||
|Mani | |||
|रैखिक असमिकाएँ | |रैखिक असमिकाएँ | ||
|[[असमिकाएँ]] | |[[असमिकाएँ]] | ||
Line 532: | Line 361: | ||
|Algebraic Solutions of Linear Inequalities in One Variable and | |Algebraic Solutions of Linear Inequalities in One Variable and | ||
their Graphical Representation | their Graphical Representation | ||
|Mani | |||
| | | | ||
|[[एक चर राशि के रैखिक असमिकाओं का बीजगणितीय हल और उनका आलेखीय निरूपण]] | |[[एक चर राशि के रैखिक असमिकाओं का बीजगणितीय हल और उनका आलेखीय निरूपण]] | ||
Line 538: | Line 368: | ||
| | | | ||
|Graphical Solution of Linear Inequalities in Two Variables | |Graphical Solution of Linear Inequalities in Two Variables | ||
|Mani | |||
| | | | ||
|[[दो चर राशियों के रैखिक असमिकाओं का आलेखीय हल]] | |[[दो चर राशियों के रैखिक असमिकाओं का आलेखीय हल]] | ||
Line 544: | Line 375: | ||
| | | | ||
|Solutions of System of Linear Inequalities in Two Variables | |Solutions of System of Linear Inequalities in Two Variables | ||
|Mani | |||
| | | | ||
|[[दो चर राशियों की असमिका निकाय का हल]] | |[[दो चर राशियों की असमिका निकाय का हल]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 586: | Line 389: | ||
|Permutations and Combinations | |Permutations and Combinations | ||
|Fundamental Principle of Counting | |Fundamental Principle of Counting | ||
|Mani | |||
|क्रमचय और संचय | |क्रमचय और संचय | ||
|[[गणना का आधारभूत सिद्धांत]] | |[[गणना का आधारभूत सिद्धांत]] | ||
Line 592: | Line 396: | ||
| | | | ||
|Permutations | |Permutations | ||
|Mani | |||
| | | | ||
|[[क्रमचय]] | |[[क्रमचय]] | ||
Line 598: | Line 403: | ||
| | | | ||
|Combinations | |Combinations | ||
|Mani | |||
| | | | ||
|[[संचय]] | |[[संचय]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 616: | Line 417: | ||
|Binomial Theorem | |Binomial Theorem | ||
|Binomial Theorem for Positive Integral Indices | |Binomial Theorem for Positive Integral Indices | ||
|Mani | |||
|द्विपद प्रमेय | |द्विपद प्रमेय | ||
|[[धन पूर्णांकों के लिए द्विपद प्रमेय]] | |[[धन पूर्णांकों के लिए द्विपद प्रमेय]] | ||
Line 622: | Line 424: | ||
| | | | ||
|General and Middle Terms | |General and Middle Terms | ||
|Mani | |||
| | | | ||
|[[व्यापक एवं मध्य पद]] | |[[व्यापक एवं मध्य पद]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 646: | Line 438: | ||
|Sequences and Series | |Sequences and Series | ||
|Sequences | |Sequences | ||
|Ramamurthy Mani | |||
|अनुक्रम तथा श्रेणी | |अनुक्रम तथा श्रेणी | ||
|[[अनुक्रम]] | |[[अनुक्रम]] | ||
Line 652: | Line 445: | ||
| | | | ||
|Series | |Series | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[श्रेणी]] | |[[श्रेणी]] | ||
Line 658: | Line 453: | ||
| | | | ||
|Arithmetic Progression(A.P) | |Arithmetic Progression(A.P) | ||
|Mani | |||
| | | | ||
|[[समांतर श्रेढ़ी]] | |[[समांतर श्रेढ़ी]] | ||
Line 664: | Line 460: | ||
| | | | ||
|Geometric Progression(G.P) | |Geometric Progression(G.P) | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[गुणोत्तर श्रेढ़ी]] | |[[गुणोत्तर श्रेढ़ी]] | ||
Line 670: | Line 468: | ||
| | | | ||
|Relationship between A.M and G.M | |Relationship between A.M and G.M | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[समांतर माध्य | |[[समांतर माध्य और गुणोत्तर माध्य के बीच संबंध]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Sum to n terms of Special Series | |Sum to n terms of Special Series | ||
|Mani | |||
| | | | ||
|[[विशेष अनुक्रमों के n पदों का योगफल]] | |[[विशेष अनुक्रमों के n पदों का योगफल]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Fibonacci Sequence | |Fibonacci Sequence | ||
|Ramamurthy Mani | |||
| | | | ||
|[[फिबोनाची अनुक्रम]] | |[[फिबोनाची अनुक्रम]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Arithmetic Mean | |Arithmetic Mean | ||
|Jaya Agarwal | |||
| | | | ||
|[[समांतर माध्य]] | |[[समांतर माध्य]] | ||
Line 730: | Line 497: | ||
| | | | ||
|Geometric Mean | |Geometric Mean | ||
|Mani | |||
| | | | ||
|[[गुणोत्तर माध्य]] | |[[गुणोत्तर माध्य]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 748: | Line 511: | ||
|Straight Lines | |Straight Lines | ||
|Slope of a Line | |Slope of a Line | ||
|Mani | |||
|सरल रेखाएं | |सरल रेखाएं | ||
|[[रेखा की ढाल]] | |[[रेखा की ढाल]] | ||
Line 754: | Line 518: | ||
| | | | ||
|Various Forms of the Equations of a Line | |Various Forms of the Equations of a Line | ||
|Mani | |||
| | | | ||
|[[रेखा के समीकरणों के विविध रूप]] | |[[रेखा के समीकरणों के विविध रूप]] | ||
Line 760: | Line 525: | ||
| | | | ||
|General Equations of a Line | |General Equations of a Line | ||
|Mani | |||
| | | | ||
|[[रेखा का व्यापक समीकरण]] | |[[रेखा का व्यापक समीकरण]] | ||
Line 766: | Line 532: | ||
| | | | ||
|Distance of a Point from a Line | |Distance of a Point from a Line | ||
|Mani | |||
| | | | ||
|[[एक बिंदु की रेखा से दूरी]] | |[[एक बिंदु की रेखा से दूरी]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 784: | Line 546: | ||
|Conic Sections | |Conic Sections | ||
|Sections of a Cone | |Sections of a Cone | ||
|Mani | |||
|शंकु परिच्छेद | |शंकु परिच्छेद | ||
|[[शंकु के परिच्छेद]] | |[[शंकु के परिच्छेद]] | ||
Line 790: | Line 553: | ||
| | | | ||
|Circle | |Circle | ||
|Mani | |||
| | | | ||
|[[वृत्त]] | |[[वृत्त]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Ellipse | |Ellipse | ||
|Mani | |||
| | | | ||
|[[दीर्घवृत्त]] | |[[दीर्घवृत्त]] | ||
Line 808: | Line 567: | ||
| | | | ||
|Hyperbola | |Hyperbola | ||
|Mani | |||
| | | | ||
|[[अतिपरवलय]] | |[[अतिपरवलय]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Latus rectum | |Latus rectum | ||
|Mani | |||
| | | | ||
|[[नाभिलंब जीवा]] | |[[नाभिलंब जीवा]] | ||
Line 826: | Line 581: | ||
| | | | ||
|Eccentricity | |Eccentricity | ||
|Mani | |||
| | | | ||
|[[उत्केन्द्रता]] | |[[उत्केन्द्रता]] | ||
|- | |- | ||
| | |||
| | | | ||
| | | | ||
Line 838: | Line 595: | ||
|Introduction to Three Dimensional Geometry | |Introduction to Three Dimensional Geometry | ||
|Coordinate Axes and Coordinate Planes in Three Dimensional Space | |Coordinate Axes and Coordinate Planes in Three Dimensional Space | ||
|Mani | |||
|त्रिविमीय ज्यामिति का परिचय | |त्रिविमीय ज्यामिति का परिचय | ||
|[[त्रिविमीय अंतरिक्ष में निर्देशांक्ष और निर्देशांक-तल]] | |[[त्रिविमीय अंतरिक्ष में निर्देशांक्ष और निर्देशांक-तल]] | ||
Line 844: | Line 602: | ||
| | | | ||
|Coordinates of a Point in Space | |Coordinates of a Point in Space | ||
|Mani | |||
| | | | ||
|[[अंतरिक्ष में एक बिन्दु के निर्देशांक]] | |[[अंतरिक्ष में एक बिन्दु के निर्देशांक]] | ||
Line 850: | Line 609: | ||
| | | | ||
|Distance between Two Points | |Distance between Two Points | ||
|Mani | |||
| | | | ||
|[[दो बिंदुओं के बीच की दूरी]] | |[[दो बिंदुओं के बीच की दूरी]] | ||
Line 856: | Line 616: | ||
| | | | ||
|Section Formula | |Section Formula | ||
|Mani | |||
| | | | ||
|[[विभाजन सूत्र]] | |[[विभाजन सूत्र]] | ||
|- | |- | ||
| | |||
| | | | ||
| | | | ||
Line 868: | Line 630: | ||
|Limits and Derivatives | |Limits and Derivatives | ||
|Intuitive Idea of Derivatives | |Intuitive Idea of Derivatives | ||
|Mani | |||
|सीमा और अवकलज | |सीमा और अवकलज | ||
|[[अवकलाजों का सहजानुभूत बोध]] | |[[अवकलाजों का सहजानुभूत बोध]] | ||
Line 874: | Line 637: | ||
| | | | ||
|Limits | |Limits | ||
|Mani | |||
| | | | ||
|[[सीमाएं]] | |[[सीमाएं]] | ||
Line 880: | Line 644: | ||
| | | | ||
|Limits of Trigonometric Functions | |Limits of Trigonometric Functions | ||
|Mani | |||
| | | | ||
|[[त्रिकोणमितीय फलनों की सीमाएं]] | |[[त्रिकोणमितीय फलनों की सीमाएं]] | ||
Line 886: | Line 651: | ||
| | | | ||
|Derivatives | |Derivatives | ||
|Mani | |||
| | | | ||
|[[अवकलज]] | |[[अवकलज]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 904: | Line 665: | ||
|Mathematical Reasoning | |Mathematical Reasoning | ||
|Statements | |Statements | ||
|Mani | |||
|गणितीय विवेचन | |गणितीय विवेचन | ||
|[[कथन]] | |[[कथन]] | ||
Line 910: | Line 672: | ||
| | | | ||
|New statements from Old | |New statements from Old | ||
|Mani | |||
| | | | ||
|[[पूर्व ज्ञात कथनों से नए कथन बनाना]] | |[[पूर्व ज्ञात कथनों से नए कथन बनाना]] | ||
Line 916: | Line 679: | ||
| | | | ||
|Special Words/Phrases | |Special Words/Phrases | ||
|Mani | |||
| | | | ||
|[[विशेष शब्द/वाक्यांश]] | |[[विशेष शब्द/वाक्यांश]] | ||
Line 922: | Line 686: | ||
| | | | ||
|Implications | |Implications | ||
|Mani | |||
| | | | ||
|[[अंतर्भाव]] | |[[अंतर्भाव]] | ||
Line 928: | Line 693: | ||
| | | | ||
|Validating Statements | |Validating Statements | ||
|Mani | |||
| | | | ||
|[[कथनों की वैधता को प्रमाणित(सत्यापित) करना]] | |[[कथनों की वैधता को प्रमाणित(सत्यापित) करना]] | ||
|- | |- | ||
| | |||
| | | | ||
| | | | ||
Line 940: | Line 707: | ||
|Statistics | |Statistics | ||
|Measures of Dispersion | |Measures of Dispersion | ||
|Mani | |||
|सांख्यिकी | |सांख्यिकी | ||
|प्रकीर्णन की माप | |[[प्रकीर्णन की माप]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Range | |Range | ||
|Mani | |||
| | | | ||
|परिसर | |[[परिसर]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Mean Deviation | |Mean Deviation | ||
|Mani | |||
| | | | ||
|माध्य विचलन | |[[माध्य विचलन]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Variance and Standard Deviation | |Variance and Standard Deviation | ||
|Mani | |||
| | | | ||
|प्रसरण और मानक विचलन | |[[प्रसरण और मानक विचलन]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Analysis of Frequency Distributions | |Analysis of Frequency Distributions | ||
|Mani | |||
| | | | ||
|बारंबारता बंटनों का विश्लेषण | |[[बारंबारता बंटनों का विश्लेषण]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Continuous frequency distribution | |Continuous frequency distribution | ||
|Mani | |||
| | | | ||
|सतत बारंबारता बंटन | |[[सतत बारंबारता बंटन]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
Line 1,024: | Line 756: | ||
|Probability | |Probability | ||
|Random Experiments | |Random Experiments | ||
|Mani | |||
|प्रायिकता | |प्रायिकता | ||
|यादृच्छिक परीक्षण | |[[यादृच्छिक परीक्षण]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Axiomatic Approach to Probability | |Axiomatic Approach to Probability | ||
|Mani | |||
| | | | ||
|प्रायिकता की अभिगृहतीय दृष्टिकोण | |[[प्रायिकता की अभिगृहतीय दृष्टिकोण]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Classical theory of probability | |Classical theory of probability | ||
|Mani | |||
| | | | ||
|प्रायिकता का पुरातन सिद्धांत | |[[प्रायिकता का पुरातन सिद्धांत]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Statistical approach of probability | |Statistical approach of probability | ||
|Mani | |||
| | | | ||
|प्रायिकता का सांख्यिकीय दृष्टिकोण | |[[प्रायिकता का सांख्यिकीय दृष्टिकोण]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Simple Event | |Simple Event | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|सरल घटना | |[[सरल घटना]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Compound Event | |Compound Event | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|मिश्र घटना | |[[मिश्र घटना]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
|} | |} | ||
[[Category:Information]] |
Latest revision as of 08:32, 26 November 2024
S.No | Chapters | Topics | Article Creator Name | अध्याय | विषय |
---|---|---|---|---|---|
1 | Sets | 1.Sets and their representations | Ramamurthy
Mani |
समुच्चय | समुच्चय और उनका निरूपण |
2.The Empty Set | Ramamurthy
Mani |
रिक्त समुच्चय | |||
3.Finite and Infinite Sets | Ramamurthy
Mani |
परिमित और अपरिमित समुच्चय | |||
4.Equal Sets | Ramamurthy
Mani |
समान समुच्चय | |||
5.Subsets | Mani | उपसमुच्चय | |||
5.1 Subsets of set of real numbers | Mani | वास्तविक संख्याओं के समुच्चय के उपसमुच्चय | |||
5.2 Intervals as subsets of R | Mani | अंतराल R के उपसमुच्चय के रूप में | |||
Power Set | Ramamurthy
Mani |
घात समुच्चय | |||
6.Universal Set | Ramamurthy
Mani |
सार्वत्रिक समुच्चय | |||
7.Venn Diagrams | Ramamurthy
Mani |
वेन आरेख | |||
8.Operations on Sets | Ramamurthy
Mani |
समुच्चयों पर संक्रियाएँ | |||
9. Complement of a Set | Mani | समुच्चय का पूरक | |||
Sequences | Ramamurthy
Mani |
अनुक्रम | |||
8.1 Union of sets | Mani | सम्मिलन(समुच्चय) | |||
8.2 Intersection of sets | Mani | सर्वनिष्ट(समुच्चय) | |||
8.3 Difference of sets | Mani | समुच्चयों का अंतर | |||
2 | Relations and Functions | 1.Cartesian Product of Sets | Ramamurthy
Mani |
संबंध और फलन | समुच्चयों का कार्टेशियन गुणन |
2.Relations | Ramamurthy
Mani |
संबंध | |||
3.Functions | Mani | फलन | |||
3.1. Some functions and their graphs | Mani | कुछ फलन और उनके आलेख | |||
3.2 Algebra of real functions | Mani | वास्तविक फलनों का बीजगणित | |||
3 | Trignometric Functions | 1.Angles | Ramamurthy
Mani |
त्रिकोणमितीय फलन | कोण |
1.1 Degree Measure | Mani | डिग्री माप | |||
1.2 Radian Measure | Mani | रेडियन माप | |||
1.4 Relation between degree and radian | Mani | डिग्री और रेडियन के बीच संबंध | |||
2.Trigonometric Functions | Mani | त्रिकोणमितीय फलन | |||
2.1 Sign of trigonometric functions | Mani | त्रिकोणमितीय फलनों का चिह्न | |||
3.Trigonometric Functions of Sum and Difference of Two Angles | Mani | दो कोणों के योग और अंतर का त्रिकोणमितीय फलन | |||
Trigonometric Equations | Mani | त्रिकोणमितीय समीकरण | |||
4 | Principle of Mathematical Induction | Motivation | Mani | गणितीय आगमन का सिद्धांत | प्रेरणा |
The Principle of Mathematical Induction | Mani | गणितीय आगमन का सिद्धांत | |||
5 | Complex Numbers and Quadratic Equations | 1.Complex Numbers | Ramamurthy
Mani |
सम्मिश्र संख्याएँ और द्विघातीय समीकरण | सम्मिश्र संख्याएँ |
2.Algebra of Complex Numbers | Ramamurthy
Mani |
सम्मिश्र संख्याओं का बीजगणित | |||
3.The Modulus and the Conjugate of a Complex Number | Ramamurthy
Mani |
सम्मिश्र संख्या का मापांक और संयुग्मी | |||
4.Argand Plane and Polar Representation | Ramamurthy
Mani |
आर्गंड तल और ध्रुवीय निरूपण | |||
Quadratic Equations | Mani | द्विघातीय समीकरण | |||
Linear equations | Ramamurthy
Mani |
रैखिक समीकरण | |||
Additive Inverse | Ramamurthy
Mani |
योगात्मक प्रतिलोम | |||
Additive Identity | Ramamurthy
Mani |
योगात्मक तत्समक | |||
Multiplicative identity | Ramamurthy
Mani |
गुणात्मक तत्समक | |||
Multiplicative inverse | Ramamurthy
Mani |
गुणात्मक प्रतिलोम | |||
6 | Linear Inequalities | Inequalities | Mani | रैखिक असमिकाएँ | असमिकाएँ |
Algebraic Solutions of Linear Inequalities in One Variable and
their Graphical Representation |
Mani | एक चर राशि के रैखिक असमिकाओं का बीजगणितीय हल और उनका आलेखीय निरूपण | |||
Graphical Solution of Linear Inequalities in Two Variables | Mani | दो चर राशियों के रैखिक असमिकाओं का आलेखीय हल | |||
Solutions of System of Linear Inequalities in Two Variables | Mani | दो चर राशियों की असमिका निकाय का हल | |||
7 | Permutations and Combinations | Fundamental Principle of Counting | Mani | क्रमचय और संचय | गणना का आधारभूत सिद्धांत |
Permutations | Mani | क्रमचय | |||
Combinations | Mani | संचय | |||
8 | Binomial Theorem | Binomial Theorem for Positive Integral Indices | Mani | द्विपद प्रमेय | धन पूर्णांकों के लिए द्विपद प्रमेय |
General and Middle Terms | Mani | व्यापक एवं मध्य पद | |||
9 | Sequences and Series | Sequences | Ramamurthy Mani | अनुक्रम तथा श्रेणी | अनुक्रम |
Series | Ramamurthy
Mani |
श्रेणी | |||
Arithmetic Progression(A.P) | Mani | समांतर श्रेढ़ी | |||
Geometric Progression(G.P) | Ramamurthy
Mani |
गुणोत्तर श्रेढ़ी | |||
Relationship between A.M and G.M | Ramamurthy
Mani |
समांतर माध्य और गुणोत्तर माध्य के बीच संबंध | |||
Sum to n terms of Special Series | Mani | विशेष अनुक्रमों के n पदों का योगफल | |||
Fibonacci Sequence | Ramamurthy Mani | फिबोनाची अनुक्रम | |||
Arithmetic Mean | Jaya Agarwal | समांतर माध्य | |||
Geometric Mean | Mani | गुणोत्तर माध्य | |||
10 | Straight Lines | Slope of a Line | Mani | सरल रेखाएं | रेखा की ढाल |
Various Forms of the Equations of a Line | Mani | रेखा के समीकरणों के विविध रूप | |||
General Equations of a Line | Mani | रेखा का व्यापक समीकरण | |||
Distance of a Point from a Line | Mani | एक बिंदु की रेखा से दूरी | |||
11 | Conic Sections | Sections of a Cone | Mani | शंकु परिच्छेद | शंकु के परिच्छेद |
Circle | Mani | वृत्त | |||
Ellipse | Mani | दीर्घवृत्त | |||
Hyperbola | Mani | अतिपरवलय | |||
Latus rectum | Mani | नाभिलंब जीवा | |||
Eccentricity | Mani | उत्केन्द्रता | |||
12 | Introduction to Three Dimensional Geometry | Coordinate Axes and Coordinate Planes in Three Dimensional Space | Mani | त्रिविमीय ज्यामिति का परिचय | त्रिविमीय अंतरिक्ष में निर्देशांक्ष और निर्देशांक-तल |
Coordinates of a Point in Space | Mani | अंतरिक्ष में एक बिन्दु के निर्देशांक | |||
Distance between Two Points | Mani | दो बिंदुओं के बीच की दूरी | |||
Section Formula | Mani | विभाजन सूत्र | |||
13 | Limits and Derivatives | Intuitive Idea of Derivatives | Mani | सीमा और अवकलज | अवकलाजों का सहजानुभूत बोध |
Limits | Mani | सीमाएं | |||
Limits of Trigonometric Functions | Mani | त्रिकोणमितीय फलनों की सीमाएं | |||
Derivatives | Mani | अवकलज | |||
14 | Mathematical Reasoning | Statements | Mani | गणितीय विवेचन | कथन |
New statements from Old | Mani | पूर्व ज्ञात कथनों से नए कथन बनाना | |||
Special Words/Phrases | Mani | विशेष शब्द/वाक्यांश | |||
Implications | Mani | अंतर्भाव | |||
Validating Statements | Mani | कथनों की वैधता को प्रमाणित(सत्यापित) करना | |||
15 | Statistics | Measures of Dispersion | Mani | सांख्यिकी | प्रकीर्णन की माप |
Range | Mani | परिसर | |||
Mean Deviation | Mani | माध्य विचलन | |||
Variance and Standard Deviation | Mani | प्रसरण और मानक विचलन | |||
Analysis of Frequency Distributions | Mani | बारंबारता बंटनों का विश्लेषण | |||
Continuous frequency distribution | Mani | सतत बारंबारता बंटन | |||
16 | Probability | Random Experiments | Mani | प्रायिकता | यादृच्छिक परीक्षण |
Axiomatic Approach to Probability | Mani | प्रायिकता की अभिगृहतीय दृष्टिकोण | |||
Classical theory of probability | Mani | प्रायिकता का पुरातन सिद्धांत | |||
Statistical approach of probability | Mani | प्रायिकता का सांख्यिकीय दृष्टिकोण | |||
Simple Event | Ramamurthy
Mani |
सरल घटना | |||
Compound Event | Ramamurthy
Mani |
मिश्र घटना | |||