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ගැටුම්
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
See lessගෝල ගැටුම්
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
Factors
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
Number Theory
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.
See lessProblem solving
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
සීමාව
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
See lessසීමාව
![](https://meta-hub.org.lk/wp-content/uploads/2024/03/Sandwich-theorem.png)
See less√ab=√a√b ?
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:
![](https://meta-hub.org.lk/wp-content/uploads/2023/12/MetaHub-Square-Root_page-0002.jpg)
See lessGeometrical approach to evaluate the sum of infinite number of terms of series of angles.
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
Partial fraction
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.
See less