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Gaya Nayomi

Level 1 ( Top Rated )Senior Lecturer-University of Sri Jayewardenepura
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  1. Asked: October 4, 2024In: SFT Mathematics ( SFT ගණිතය )

    Any plans for provincial combined mathematics teacher training program for southern province planned?

    Gaya Nayomi
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on October 5, 2024 at 3:47 pm

    We already had the program in the current series in the Southern Province. It was held in 2022. Did you miss it?

    We already had the program in the current series in the Southern Province. It was held in 2022. Did you miss it?

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  2. Asked: August 12, 2023In: Mechanics ( යාන්ත්‍ර විද්‍යාව )

    ගැටුම්

    Gaya Nayomi
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 4, 2024 at 7:34 pm

    සාමාන්‍ය බල (ගුරුත්වාකර්ෂණ බලය ද ඇතුලුව) යටතේ ක්ෂණික ගම්‍යතා වෙනස්වීම් සිදු නොවේ. ආවේගය යනු ක්ෂණික ගම්‍යතා වෙනසක් බැවින්, එය පාලනය කරන සමීකරණය වන  I=Δ(mv) ට සාමාන්‍ය බල අයත් නොවේ. ~MetaHub Panel for Teachers' Forum

    සාමාන්‍ය බල (ගුරුත්වාකර්ෂණ බලය ද ඇතුලුව) යටතේ ක්ෂණික ගම්‍යතා වෙනස්වීම් සිදු නොවේ. ආවේගය යනු ක්ෂණික ගම්‍යතා වෙනසක් බැවින්, එය පාලනය කරන සමීකරණය වන  I=Δ(mv) ට සාමාන්‍ය බල අයත් නොවේ.

    ~MetaHub Panel for Teachers’ Forum

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  3. Asked: December 15, 2023In: Mechanics ( යාන්ත්‍ර විද්‍යාව )

    ගෝල ගැටුම්

    Gaya Nayomi
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 4, 2024 at 7:16 pm
    This answer was edited.

    සංස්ථිතික නියමවල ප්‍රයෝජනය පවතින්නේ යම් කාල පරාසයක් පුරා ඒවායේ යෙදීම තුළය. ඔබ එය ගැටුමක් සඳහා යොදන්නේ නම්, එසේ යොදනුයේ ගැටීමට මොහොතකට පෙර සහ ගැටුමට මොහොතකට පසු ප්‍රවේග පිළිබඳ තොරතුරු ලබා ගැනීම සඳහා ය. එබැවින්, එම තොරතුරු ලබා ගැනීමට වඩාත් සුදුසු ක්‍රමය නම් ගම්‍යතාවයේ හදිසි වෙනස්වීම් පාලනය කරන සමීකරණයRead more

    සංස්ථිතික නියමවල ප්‍රයෝජනය පවතින්නේ යම් කාල පරාසයක් පුරා ඒවායේ යෙදීම තුළය. ඔබ එය ගැටුමක් සඳහා යොදන්නේ නම්, එසේ යොදනුයේ ගැටීමට මොහොතකට පෙර සහ ගැටුමට මොහොතකට පසු ප්‍රවේග පිළිබඳ තොරතුරු ලබා ගැනීම සඳහා ය.

    එබැවින්, එම තොරතුරු ලබා ගැනීමට වඩාත් සුදුසු ක්‍රමය නම් ගම්‍යතාවයේ හදිසි වෙනස්වීම් පාලනය කරන සමීකරණය වන I=Δ(mv) යෙදීමයි.

     

    The usefulness of conservation laws lies in their application over a period of time. If you are applying it for a collision, you will be applying it to get information on the velocities just before and just after the moment of impact.

    Therefore, the more appropriate way to get that information is to apply I=Δ(mv) since it is the equation governing the sudden change in momentum.

    ~MetaHub Panel for Teachers’ Forum

     

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  4. Asked: November 28, 2023In: Algebra ( වීජ ගණිතය )

    Factors

    Gaya Nayomi
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 4, 2024 at 4:38 pm

    Well-written response Bourbaki! In addition, to answer Dilshanwj's question, when factors of x^2 -36 are considered (x-6) and (x+6) are the only irreducible factors of it over R (real numbers). By a factor of a polynomial, we mean, a 'polynomial' that divides the given polynomial. Any factorizationRead more

    Well-written response Bourbaki!

    In addition, to answer Dilshanwj’s question, when factors of x^2 -36 are considered (x-6) and (x+6) are the only irreducible factors of it over R (real numbers). By a factor of a polynomial, we mean, a ‘polynomial‘ that divides the given polynomial. Any factorization that you have suggested leads to non-polynomial expressions.

    ~MetaHub Panel of Teachers’ Forum

     

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  5. Asked: November 27, 2023In: Calculus ( කලනය )

    Number Theory

    Gaya Nayomi
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 4, 2024 at 3:27 pm

    The response given by Bourbaki aptly describes why we don't consider 1 as a Prime.

    The response given by Bourbaki aptly describes why we don’t consider 1 as a Prime.

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  6. Asked: February 22, 2024In: Algebra ( වීජ ගණිතය )

    Problem solving

    Gaya Nayomi
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 4, 2024 at 3:15 pm

    Here are some problem-solving books: 1. Mathematical Problem Solving by Alan Schoenfeld 2. Problem Solving Strategies by Arthur Engel 3. How to Solve It by George Polya 4. Problems and Solutions by G. L. Alexanderson, L. F. Klosinski, and L. C. Larson, (The William Lowell Putnam Mathematical CompetiRead more

    Here are some problem-solving books:

    1. Mathematical Problem Solving by Alan Schoenfeld

    2. Problem Solving Strategies by Arthur Engel

    3. How to Solve It by George Polya

    4. Problems and Solutions by G. L. Alexanderson, L. F. Klosinski, and L. C. Larson, (The William Lowell Putnam Mathematical Competition1965–1984, Mathematical Association of America)

    5. The Art and Craft of Problem Solving by Paul Zeitz

     

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  7. Asked: September 6, 2023In: Calculus ( කලනය )

    සීමාව

    Gaya Nayomi
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 4, 2024 at 2:18 pm

    The Sandwich Theorem can be applied even when the strict inequality is held in the hypothesis. For a more elaborate answer, please refer to the response given by us to your other question on limits.   ~MetaHub Panel for Teachers’ Forum

    The Sandwich Theorem can be applied even when the strict inequality is held in the hypothesis. For a more elaborate answer, please refer to the response given by us to your other question on limits.

     

    ~MetaHub Panel for Teachers’ Forum

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  8. Asked: September 6, 2023In: Calculus ( කලනය )

    සීමාව

    Gaya Nayomi
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 4, 2024 at 2:16 pm

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  9. Asked: September 6, 2023In: Complex Numbers ( සංකීර්ණ සංඛ්යා )

    √ab=√a√b ?

    Gaya Nayomi
    Best Answer
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on December 4, 2023 at 8:49 pm

    Dear Bourbaki, thank you for your question. Here is the response from the MetaHub Teachers' Forum Panel:  

    Dear Bourbaki, thank you for your question. Here is the response from the MetaHub Teachers’ Forum Panel:

     

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  10. Asked: July 8, 2023In: Algebra ( වීජ ගණිතය )

    Partial fraction

    Gaya Nayomi
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on August 22, 2023 at 7:01 pm

    What do other teachers think about this? We would first like to know what other teachers think about this. Let us have a discussion on it first.

    What do other teachers think about this?

    We would first like to know what other teachers think about this. Let us have a discussion on it first.

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