This document discusses various topics related to language, including:
1. Language change over time through processes like sound, lexical, semantic and syntactic changes.
2. Causes of language change such as economy, foreign influence, and fashion.
3. Language death which occurs when a language loses its last native speaker due to factors like natural disasters, wars, and lack of transmission to new generations.
4. Varieties of language that exist due to social factors including differences between regions, social classes, individuals, and situations.
i) The standard deviation formula that uses step deviation method is the formula given in option iv.
ii) The unit vector along the vector i+4j is 5/√25i + 5/√25j.
iii) When two rows of a matrix are equal, the determinant of the matrix is 0.
The document defines and provides formulas for various trigonometric, geometric, and statistical concepts:
1) It defines trigonometric functions as ratios of sides of a right-angled triangle, gives the formula for sine as f(x)=sinx, and expresses sin2A in terms of tanA.
2) It provides the definition of an angle of elevation and the relation between points P and P' under an inversion transformation as OPxOP'=r^2.
3) It gives the minimum value of y for y=sinx as -1 and the formula to find the sum of n terms of an arithmetic series as n(a+l)/2.
This document discusses various topics related to language, including:
1. Language change over time through processes like sound, lexical, semantic and syntactic changes.
2. Causes of language change such as economy, foreign influence, and fashion.
3. Language death which occurs when a language loses its last native speaker due to factors like natural disasters, wars, and lack of transmission to new generations.
4. Varieties of language that exist due to social factors including differences between regions, social classes, individuals, and situations.
i) The standard deviation formula that uses step deviation method is the formula given in option iv.
ii) The unit vector along the vector i+4j is 5/√25i + 5/√25j.
iii) When two rows of a matrix are equal, the determinant of the matrix is 0.
The document defines and provides formulas for various trigonometric, geometric, and statistical concepts:
1) It defines trigonometric functions as ratios of sides of a right-angled triangle, gives the formula for sine as f(x)=sinx, and expresses sin2A in terms of tanA.
2) It provides the definition of an angle of elevation and the relation between points P and P' under an inversion transformation as OPxOP'=r^2.
3) It gives the minimum value of y for y=sinx as -1 and the formula to find the sum of n terms of an arithmetic series as n(a+l)/2.
The document contains responses to questions about mathematics concepts. Some key points include:
- When a plane cuts a cone obliquely, it forms an ellipse.
- Vectors acting in the same direction but with different magnitudes are called like vectors.
- The father of trigonometry is Hipparchus.
- Questions cover topics like vectors, probability, trigonometric functions, quadratic functions, and properties of triangles. The responses provide definitions, values, and classifications for different mathematical terms and scenarios.
George Cantor developed the mathematical theory of sets in the late 19th century. A singleton set contains only one element, such as the set containing the highest mountain on Earth. A proper subset is a subset that is not equal to the original set. The trichotomy axiom states that for any two elements a and b in a set, exactly one of the following relations must hold: a is less than b, a is equal to b, or a is greater than b.
Scrabble Club Pokhara (SCP) was founded in 2015 with the help of American Corner Pokhara and English Language Fellows to promote learning through activities like scrabble competitions and trainings. It has since expanded to over 40 districts in Nepal and 15 international coordinators. SCP holds national and international scrabble championships annually and other educational activities. Recently, SCP facilitated online training for over 200 teachers on using gamification tools like scrabble, quizzes and coding in their classrooms to make learning more interactive and fun. The training was well received by teachers and led to increased engagement from their students. SCP aims to continue promoting transformation in education through collaborative learning networks.
The document contains 20 math quiz questions covering topics like proportions, geometry, algebra, probability, functions, and trigonometry. It provides the questions, working steps for some, and the answers. The questions test a range of math concepts and skills at a general level.
The document describes the Scrabble Club Pokhara, which was registered in 2019 and has over 20 members. It organizes Scrabble competitions and distributes Scrabble boards and tiles. The club aims to develop problem-solving and logical thinking skills through Scrabble. It has formed clubs in schools and held national and international Scrabble championships. The document also provides rules for playing Scrabble and examples of mobile apps that can be used.
The document contains responses to questions about mathematics concepts. Some key points include:
- When a plane cuts a cone obliquely, it forms an ellipse.
- Vectors acting in the same direction but with different magnitudes are called like vectors.
- The father of trigonometry is Hipparchus.
- Questions cover topics like vectors, probability, trigonometric functions, quadratic functions, and properties of triangles. The responses provide definitions, values, and classifications for different mathematical terms and scenarios.
George Cantor developed the mathematical theory of sets in the late 19th century. A singleton set contains only one element, such as the set containing the highest mountain on Earth. A proper subset is a subset that is not equal to the original set. The trichotomy axiom states that for any two elements a and b in a set, exactly one of the following relations must hold: a is less than b, a is equal to b, or a is greater than b.
Scrabble Club Pokhara (SCP) was founded in 2015 with the help of American Corner Pokhara and English Language Fellows to promote learning through activities like scrabble competitions and trainings. It has since expanded to over 40 districts in Nepal and 15 international coordinators. SCP holds national and international scrabble championships annually and other educational activities. Recently, SCP facilitated online training for over 200 teachers on using gamification tools like scrabble, quizzes and coding in their classrooms to make learning more interactive and fun. The training was well received by teachers and led to increased engagement from their students. SCP aims to continue promoting transformation in education through collaborative learning networks.
The document contains 20 math quiz questions covering topics like proportions, geometry, algebra, probability, functions, and trigonometry. It provides the questions, working steps for some, and the answers. The questions test a range of math concepts and skills at a general level.
The document describes the Scrabble Club Pokhara, which was registered in 2019 and has over 20 members. It organizes Scrabble competitions and distributes Scrabble boards and tiles. The club aims to develop problem-solving and logical thinking skills through Scrabble. It has formed clubs in schools and held national and international Scrabble championships. The document also provides rules for playing Scrabble and examples of mobile apps that can be used.