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

    සීමාව

    Clifford
    Clifford Level 5 Combined Mathematics Teacher at st.Joseph Vaz College, Wennappuwa
    Added an answer on December 16, 2023 at 11:09 am

    මේක අපේ විෂය නිර්දේශයේ ඇතුලත් කර නැහැ. නමුත්,

    මේක අපේ විෂය නිර්දේශයේ ඇතුලත් කර නැහැ. නමුත්,

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  2. 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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  3. Asked: August 23, 2023In: Geometry ( ජ්‍යාමිතිය )

    Geometrical approach to evaluate the sum of infinite number of terms of series of angles.

    Janaka Rodrigo
    Janaka Rodrigo Level 2 English medium advanced level mathematics teacher at St Benedicts College Colombo 13
    Added an answer on August 23, 2023 at 4:33 pm

    We have plenty of applications related to convergent geometric series but not for this particular case. I believe the method used here can be totally new approach. The most important thing here is I'm using only one figure and basic geometry theorems.  All points named in the figure have integer cooRead more

    We have plenty of applications related to convergent geometric series but not for this particular case. I believe the method used here can be totally new approach. The most important thing here is I’m using only one figure and basic geometry theorems.  All points named in the figure have integer coordinates but because of practical difficulties I couldn’t draw a perfect figure in GeoGebra.  Here you have the link for more details,

    https://www.geogebra.org/m/j5yvst8s



     

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  4. 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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  5. 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 August 22, 2023 at 6:59 pm

    මේ සම්බන්දයෙන් අනිත් ගුරුවරුන්ගේ අදහස් අපි මුලින් දැනගන්න කැමතියි.

    මේ සම්බන්දයෙන් අනිත් ගුරුවරුන්ගේ අදහස් අපි මුලින් දැනගන්න කැමතියි.

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  6. Asked: July 24, 2023In: Algebra ( වීජ ගණිතය )

    Series

    Gaya Nayomi
    Best Answer
    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on August 20, 2023 at 10:46 am

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  7. Asked: August 6, 2023In: Mechanics ( යාන්ත්‍ර විද්‍යාව )

    Elastic impacts

    Janaka Rodrigo
    Janaka Rodrigo Level 2 English medium advanced level mathematics teacher at St Benedicts College Colombo 13
    Added an answer on August 6, 2023 at 11:39 am
    This answer was edited.

     


     

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  8. Asked: March 7, 2023In: Arithmetic ( අංක ගණිතය )

    Real number system

    Nirmana Samarawickrama
    Nirmana Samarawickrama Begginer ( Level 6 ) Combined Maths Teacher;B.Sc.(Maths/Statistics) University of Peradeniya
    Added an answer on July 6, 2023 at 11:12 pm

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  9. Asked: March 7, 2023In: Algebra ( වීජ ගණිතය )

    Illustrating powers of sums by geometrical means

    Bourbaki
    Bourbaki Level 3 i^2 -keep it real-
    Added an answer on June 26, 2023 at 2:39 am
    Forum

    Sum of integers This visual proof by Ian Richards

    Sum of integers

    This visual proof by Ian Richards

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  10. Asked: June 18, 2023In: Complex Numbers ( සංකීර්ණ සංඛ්යා )

    සංකීර්ණ සංඛයා සමිබන්දව

    Janaka Rodrigo
    Janaka Rodrigo Level 2 English medium advanced level mathematics teacher at St Benedicts College Colombo 13
    Added an answer on June 20, 2023 at 6:26 pm
    This answer was edited.

    ඍණ නොවන  තාත්වික සංඛ්‍යාවක වර්ගමූලය කියල ගන්නෙ ඍණ නොවන මූලය, ඒකටම තමයි   ප්‍රධාන මූලය ( principal root) කියන්නේ . √4  = 2,  √0 =0 ඒත් 4 හි වර්ගමූල කිව්වොත් එතනදී ±2 කියන අගයන් දෙකම සලකනවා. ද මුවාවර් ප්‍රමේය මඟින් ශුන්‍ය නොවන ඕනෑම x සංඛ්‍යාවක n වන මූල සෙවීමේදී මූල n ගනනක් ලැබෙනවා. මෙතනදී x ඍණ හෝ අතාතRead more

    ඍණ නොවන  තාත්වික සංඛ්‍යාවක වර්ගමූලය කියල ගන්නෙ ඍණ නොවන මූලය, ඒකටම තමයි   ප්‍රධාන මූලය ( principal root) කියන්නේ .

    √4  = 2,  √0 =0

    ඒත් 4 හි වර්ගමූල කිව්වොත් එතනදී ±2 කියන අගයන් දෙකම සලකනවා.

    ද මුවාවර් ප්‍රමේය මඟින් ශුන්‍ය නොවන ඕනෑම x සංඛ්‍යාවක n වන මූල සෙවීමේදී මූල n ගනනක් ලැබෙනවා. මෙතනදී x ඍණ හෝ අතාත්වික නම් ප්‍රධාන මූලය කියලා විශේෂයෙන් එක මූලයක් නම් කරන්නේ නෑ.

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