Taxonomy for Mathematics Articles-12th Class: Difference between revisions
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|Application of Determinants and Matrices | |Application of Determinants and Matrices | ||
| | |Mani | ||
| | | | ||
|[[सारणिकों और आव्यूहों के अनुप्रयोग]] | |[[सारणिकों और आव्यूहों के अनुप्रयोग]] | ||
| Line 219: | Line 219: | ||
|Continuity and Differentiablity | |Continuity and Differentiablity | ||
|Continuity | |Continuity | ||
| | |Mani | ||
|सांतत्य तथा अवकलनीयता | |सांतत्य तथा अवकलनीयता | ||
|[[सांतत्य]] | |[[सांतत्य]] | ||
| Line 226: | Line 226: | ||
| | | | ||
|Differentiability | |Differentiability | ||
| | |Mani | ||
| | | | ||
|[[अवकलनीयता]] | |[[अवकलनीयता]] | ||
| Line 233: | Line 233: | ||
| | | | ||
|Exponential and Logarithmic Functions | |Exponential and Logarithmic Functions | ||
| | |Mani | ||
| | | | ||
|[[चरघातांकी तथा लघूगणकीय फलन]] | |[[चरघातांकी तथा लघूगणकीय फलन]] | ||
| Line 240: | Line 240: | ||
| | | | ||
|Logarithmic Differentiation | |Logarithmic Differentiation | ||
| | |Mani | ||
| | | | ||
|[[लघूगणकीय अवकलन]] | |[[लघूगणकीय अवकलन]] | ||
| Line 247: | Line 247: | ||
| | | | ||
|Derivatives of Functions in Parametric Forms | |Derivatives of Functions in Parametric Forms | ||
| | |Mani | ||
| | | | ||
|[[फलनों के प्राचलिक रूपों के अवकलज]] | |[[फलनों के प्राचलिक रूपों के अवकलज]] | ||
| Line 254: | Line 254: | ||
| | | | ||
|Second Order Derivative | |Second Order Derivative | ||
| | |Mani | ||
| | | | ||
|[[द्वितीय कोटि का अवकलज]] | |[[द्वितीय कोटि का अवकलज]] | ||
| Line 261: | Line 261: | ||
| | | | ||
|Mean Value Theorem | |Mean Value Theorem | ||
| | |Mani | ||
| | | | ||
|[[माध्यमान प्रमेय]] | |[[माध्यमान प्रमेय]] | ||
| Line 268: | Line 268: | ||
| | | | ||
|Rolle's theorem | |Rolle's theorem | ||
| | |Mani | ||
| | | | ||
|[[रोले का प्रमेय]] | |[[रोले का प्रमेय]] | ||
| Line 275: | Line 275: | ||
|Application of Derivatives | |Application of Derivatives | ||
|Rate of Change of Quantities | |Rate of Change of Quantities | ||
| | |Mani | ||
|अवकलज के अनुप्रयोग | |अवकलज के अनुप्रयोग | ||
|[[राशियों के परिवर्तन की दर]] | |[[राशियों के परिवर्तन की दर]] | ||
| Line 282: | Line 282: | ||
| | | | ||
|Increasing and Decreasing Functions | |Increasing and Decreasing Functions | ||
| | |Mani | ||
| | | | ||
|[[वर्धमान और ह्रासमान फलन]] | |[[वर्धमान और ह्रासमान फलन]] | ||
| Line 289: | Line 289: | ||
| | | | ||
|Tangents and Normals | |Tangents and Normals | ||
| | |Mani | ||
| | | | ||
|[[स्पर्श रेखाएँ और अभिलंब]] | |[[स्पर्श रेखाएँ और अभिलंब]] | ||
| Line 296: | Line 296: | ||
| | | | ||
|Approximations | |Approximations | ||
| | |Mani | ||
| | | | ||
|[[सन्निकटन]] | |[[सन्निकटन]] | ||
| Line 303: | Line 303: | ||
| | | | ||
|Maxima and Minima | |Maxima and Minima | ||
| | |Mani | ||
| | | | ||
|[[उच्चतम और निम्नतम]] | |[[उच्चतम और निम्नतम]] | ||
| Line 317: | Line 317: | ||
|Integrals | |Integrals | ||
|Integration as an Inverse Process of Differentiation | |Integration as an Inverse Process of Differentiation | ||
| | |Mani | ||
|समाकलन | |समाकलन | ||
|[[समाकलन को अवकलन के व्युत्क्रम प्रक्रम के रूप में]] | |[[समाकलन को अवकलन के व्युत्क्रम प्रक्रम के रूप में]] | ||
| Line 324: | Line 324: | ||
| | | | ||
|Methods of Integration | |Methods of Integration | ||
| | |Mani | ||
| | | | ||
|[[समाकलन की विधियाँ]] | |[[समाकलन की विधियाँ]] | ||
| Line 331: | Line 331: | ||
| | | | ||
|Integrals of Some Particular Functions | |Integrals of Some Particular Functions | ||
| | |Mani | ||
| | | | ||
|[[कुछ विशिष्ट फलनों के समाकलन]] | |[[कुछ विशिष्ट फलनों के समाकलन]] | ||
| Line 338: | Line 338: | ||
| | | | ||
|Integration by Partial Fractions | |Integration by Partial Fractions | ||
| | |Mani | ||
| | | | ||
|[[आंशिक भिन्नों द्वारा समाकलन]] | |[[आंशिक भिन्नों द्वारा समाकलन]] | ||
| Line 345: | Line 345: | ||
| | | | ||
|Integration by Parts | |Integration by Parts | ||
| | |Mani | ||
| | | | ||
|[[खंडशः समाकलन]] | |[[खंडशः समाकलन]] | ||
| Line 352: | Line 352: | ||
| | | | ||
|Definite Integral | |Definite Integral | ||
| | |Mani | ||
| | | | ||
|[[निश्चित समाकलन]] | |[[निश्चित समाकलन]] | ||
| Line 359: | Line 359: | ||
| | | | ||
|Fundamental Theorem of Calculus | |Fundamental Theorem of Calculus | ||
| | |Mani | ||
| | | | ||
|[[कलन की आधारभूत प्रमेय]] | |[[कलन की आधारभूत प्रमेय]] | ||
| Line 366: | Line 366: | ||
| | | | ||
|Some Properties Definite Integrals | |Some Properties Definite Integrals | ||
| | |Mani | ||
| | | | ||
|[[निश्चित समकलनों के कुछ गुणधर्म]] | |[[निश्चित समकलनों के कुछ गुणधर्म]] | ||
| Line 373: | Line 373: | ||
| | | | ||
|Indefinite Integral | |Indefinite Integral | ||
| | |Mani | ||
| | | | ||
|[[अनिश्चित समाकलन]] | |[[अनिश्चित समाकलन]] | ||
| Line 380: | Line 380: | ||
|Application of Integrals | |Application of Integrals | ||
|Area under Simple Curves | |Area under Simple Curves | ||
| | |Mani | ||
|समकलनों के अनुप्रयोग | |समकलनों के अनुप्रयोग | ||
|[[साधारण वक्रों के अंतर्गत क्षेत्रफल]] | |[[साधारण वक्रों के अंतर्गत क्षेत्रफल]] | ||
| Line 387: | Line 387: | ||
| | | | ||
|Area between Two Curves | |Area between Two Curves | ||
| | |Mani | ||
| | | | ||
|[[दो वक्रों के मध्यवर्ती क्षेत्र का क्षेत्रफल]] | |[[दो वक्रों के मध्यवर्ती क्षेत्र का क्षेत्रफल]] | ||
| Line 394: | Line 394: | ||
|Differential Equations | |Differential Equations | ||
|Basic Concepts | |Basic Concepts | ||
| | |Mani | ||
|अवकल समीकरण | |अवकल समीकरण | ||
|[[आधारभूत संकल्पनाएँ]] | |[[आधारभूत संकल्पनाएँ]] | ||
| Line 401: | Line 401: | ||
| | | | ||
|General and Particular Solution of a Differential Equations | |General and Particular Solution of a Differential Equations | ||
| | |Mani | ||
| | | | ||
|[[अवकलन समीकरण का व्यापक एवं विशिष्ट हल]] | |[[अवकलन समीकरण का व्यापक एवं विशिष्ट हल]] | ||
| Line 408: | Line 408: | ||
| | | | ||
|Formation of a Differential Equation whose General Equation is given | |Formation of a Differential Equation whose General Equation is given | ||
| | |Mani | ||
| | | | ||
|[[दिए हुए व्यापक हल वाले अवकल समीकरण का निर्माण]] | |[[दिए हुए व्यापक हल वाले अवकल समीकरण का निर्माण]] | ||
| Line 415: | Line 415: | ||
| | | | ||
|Methods of Solving First Order, First Degree Differential Equations | |Methods of Solving First Order, First Degree Differential Equations | ||
| | |Mani | ||
| | | | ||
|[[प्रथम कोटि एवं प्रथम घात के अवकल समीकरणों को हल करने की विधियाँ]] | |[[प्रथम कोटि एवं प्रथम घात के अवकल समीकरणों को हल करने की विधियाँ]] | ||
| Line 422: | Line 422: | ||
| | | | ||
|Differential Equation | |Differential Equation | ||
| | |Mani | ||
| | | | ||
|[[अवकल समीकरण]] | |[[अवकल समीकरण]] | ||
| Line 436: | Line 436: | ||
| | | | ||
|Types of Vectors | |Types of Vectors | ||
| | |Mani | ||
| | | | ||
|[[सदिशों के प्रकार]] | |[[सदिशों के प्रकार]] | ||
| Line 443: | Line 443: | ||
| | | | ||
|Addition of Vectors | |Addition of Vectors | ||
| | |Mani | ||
| | | | ||
|[[सदिशों का योगफल]] | |[[सदिशों का योगफल]] | ||
| Line 450: | Line 450: | ||
| | | | ||
|Multiplication of Vector by a Scalar | |Multiplication of Vector by a Scalar | ||
| | |Mani | ||
| | | | ||
|[[एक अदिश से सदिश का गुणन]] | |[[एक अदिश से सदिश का गुणन]] | ||
| Line 457: | Line 457: | ||
| | | | ||
|Product of Two Vectors | |Product of Two Vectors | ||
| | |Mani | ||
| | | | ||
|[[दो सदिशों का गुणनफल]] | |[[दो सदिशों का गुणनफल]] | ||
| Line 464: | Line 464: | ||
| | | | ||
|Scalars | |Scalars | ||
| | |Mani | ||
| | | | ||
|[[अदिश]] | |[[अदिश]] | ||
| Line 471: | Line 471: | ||
| | | | ||
|Vectors | |Vectors | ||
| | |Mani | ||
| | | | ||
|[[सदिश]] | |[[सदिश]] | ||
| Line 478: | Line 478: | ||
| | | | ||
|Position vector | |Position vector | ||
| | |Mani | ||
| | | | ||
|[[स्थिति सदिश]] | |[[स्थिति सदिश]] | ||
| Line 485: | Line 485: | ||
| | | | ||
|Direction cosines | |Direction cosines | ||
| | |Mani | ||
| | | | ||
|[[दिक्-कोसाइन]] | |[[दिक्-कोसाइन]] | ||
| Line 492: | Line 492: | ||
| | | | ||
|Triangle law of vector addition | |Triangle law of vector addition | ||
| | |Mani | ||
| | | | ||
|[[सदिश योग का त्रिभुज नियम]] | |[[सदिश योग का त्रिभुज नियम]] | ||
| Line 499: | Line 499: | ||
| | | | ||
|Parallelogram law of vector addition | |Parallelogram law of vector addition | ||
| | |Mani | ||
| | | | ||
|[[सदिश योग का समांतर चतुर्भुज नियम]] | |[[सदिश योग का समांतर चतुर्भुज नियम]] | ||
| Line 506: | Line 506: | ||
|Three Dimensional Geometry | |Three Dimensional Geometry | ||
|Direction Cosines and Direction Ratios of a Line | |Direction Cosines and Direction Ratios of a Line | ||
| | |Mani | ||
|त्रि-विमीय ज्यामिति | |त्रि-विमीय ज्यामिति | ||
|[[रेखा के दिक्-कोज्या व दिक्- अनुपात]] | |[[रेखा के दिक्-कोज्या व दिक्- अनुपात]] | ||
| Line 513: | Line 513: | ||
| | | | ||
|Equation of a Line in Space | |Equation of a Line in Space | ||
| | |Mani | ||
| | | | ||
|[[अंतरिक्ष में रेखा का समीकरण]] | |[[अंतरिक्ष में रेखा का समीकरण]] | ||
| Line 520: | Line 520: | ||
| | | | ||
|Angle between Two Lines | |Angle between Two Lines | ||
| | |Mani | ||
| | | | ||
|[[दो रेखाओं के मध्य का कोण]] | |[[दो रेखाओं के मध्य का कोण]] | ||
| Line 527: | Line 527: | ||
| | | | ||
|Shortest Distance between Two Lines | |Shortest Distance between Two Lines | ||
| | |Mani | ||
| | | | ||
|[[दो रेखाओं के मध्य न्यूनतम दूरी]] | |[[दो रेखाओं के मध्य न्यूनतम दूरी]] | ||
| Line 534: | Line 534: | ||
| | | | ||
|Coplanarity of Two Lines | |Coplanarity of Two Lines | ||
| | |Mani | ||
| | | | ||
|[[दो रेखाओं का सह-तलीय होना]] | |[[दो रेखाओं का सह-तलीय होना]] | ||
| Line 541: | Line 541: | ||
| | | | ||
|Angle between Two Planes | |Angle between Two Planes | ||
| | |Mani | ||
| | | | ||
|[[दो समतलो के बीच का कोण]] | |[[दो समतलो के बीच का कोण]] | ||
| Line 548: | Line 548: | ||
| | | | ||
|Distance of a Point from a Plane | |Distance of a Point from a Plane | ||
| | |Mani | ||
| | | | ||
|[[समतल से दीए गए बिन्दु की दूरी]] | |[[समतल से दीए गए बिन्दु की दूरी]] | ||
| Line 555: | Line 555: | ||
| | | | ||
|Angle between a Line and a Plane | |Angle between a Line and a Plane | ||
| | |Mani | ||
| | | | ||
|[[एक रेखा और एक समतल के बीच का कोण]] | |[[एक रेखा और एक समतल के बीच का कोण]] | ||
| Line 562: | Line 562: | ||
|Linear Programming | |Linear Programming | ||
|Linear Programming problems and its Mathematical Formulation | |Linear Programming problems and its Mathematical Formulation | ||
| | |Mani | ||
|रैखिक प्रोग्रामन | |रैखिक प्रोग्रामन | ||
|[[रैखिक प्रोग्रामन समस्या और उसका गणितीय सूत्रीकरण]] | |[[रैखिक प्रोग्रामन समस्या और उसका गणितीय सूत्रीकरण]] | ||
| Line 569: | Line 569: | ||
| | | | ||
|Different Types of Linear Programming Problems | |Different Types of Linear Programming Problems | ||
|Mani | |||
| | |||
|[[रैखिक प्रोग्रामन समस्याओं के भिन्न प्रकार]] | |||
|- | |||
| | | | ||
| | | | ||
|[[ | |Objective function | ||
|Mani | |||
| | |||
|[[उद्देशीय फलन]] | |||
|- | |- | ||
|14 | |14 | ||
|Probability | |Probability | ||
|Conditional Probability | |Conditional Probability | ||
| | |Mani | ||
|प्रायिकता | |प्रायिकता | ||
|[[सप्रतिबंध प्रायिकता]] | |[[सप्रतिबंध प्रायिकता]] | ||
| Line 583: | Line 590: | ||
| | | | ||
|Multiplication Theorem on Probability | |Multiplication Theorem on Probability | ||
| | |Mani | ||
| | | | ||
|[[प्रायिकता का गुणन नियम]] | |[[प्रायिकता का गुणन नियम]] | ||
| Line 590: | Line 597: | ||
| | | | ||
|Independent Events | |Independent Events | ||
| | |Mani | ||
| | | | ||
|[[स्वतंत्र घटनाएँ]] | |[[स्वतंत्र घटनाएँ]] | ||
| Line 597: | Line 604: | ||
| | | | ||
|Bayes' Theorem | |Bayes' Theorem | ||
| | |Mani | ||
| | | | ||
|[[बेज-प्रमेय]] | |[[बेज-प्रमेय]] | ||
| Line 604: | Line 611: | ||
| | | | ||
|Random Variables and its Probability Distribution | |Random Variables and its Probability Distribution | ||
| | |Mani | ||
| | | | ||
|[[यादृच्छिक चर और इसके प्रायिकता बंटन]] | |[[यादृच्छिक चर और इसके प्रायिकता बंटन]] | ||
| Line 611: | Line 618: | ||
| | | | ||
|Bernoulli Trials and Binomial Distribution | |Bernoulli Trials and Binomial Distribution | ||
| | |Mani | ||
| | | | ||
|[[बरनौली परीक्षण और द्विपद बंटन]] | |[[बरनौली परीक्षण और द्विपद बंटन]] | ||
|} | |} | ||
[[Category:Information]] | [[Category:Information]] | ||
Latest revision as of 08:47, 19 December 2024
| S.No | Chapters | Topics | Article Creator Name | अध्याय | विषय |
|---|---|---|---|---|---|
| PART-I | |||||
| 1 | Relations and Functions | Types of Relations | English:Dr Vinamra &
Ramamurthy Hindi: Mani |
संबंध और फलन | संबंधों के प्रकार |
| Types of Functions | English:Dr Vinamra &
Ramamurthy Hindi: Mani |
फलनों के प्रकार | |||
| Composition of Functions and Invertible Function | English:Dr Vinamra &
Ramamurthy Hindi: Mani |
फलनों का संयोजन तथा व्युत्क्रमणीय फलन | |||
| Binary Operations | English:Dr Vinamra &
Ramamurthy Hindi: Mani |
द्वि-आधारी संक्रियाएँ | |||
| Relations | Ramamurthy
Mani |
संबंध | |||
| Functions | Ramamurthy
Mani |
फलन | |||
| 2 | Inverse Trignometric Functions | Basic Concepts | Mani | प्रतिलोम त्रिकोणमितीय फलन | आधारभूत संकल्पनाएँ |
| Properties of Inverse Trigonometric Functions | Mani | प्रतिलोम त्रिकोणमितीय फलनों के गुणधर्म | |||
| Inverse of a function | Mani | फलन का प्रतिलोम | |||
| 3 | Matrices | Matrix | Ramamurthy
Mani |
आव्यूह | आव्यूह |
| Types of Matrices | Ramamurthy
Mani |
आव्यूहों के प्रकार | |||
| Operations on Matrices | Ramamurthy
Mani |
आव्यूहों पर संक्रियाएँ | |||
| Transpose of a Matrix | Ramamurthy
Mani |
आव्यूह का परिवर्त | |||
| Symmetric and Skew Symmetric Matrices | Mani | सममित तथा विषम सममित आव्यूह | |||
| Elementary Operation(Transformation) of a Matrix | Mani |