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Mathematics
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M. A.'s user avatar
M. A.'s user avatar
M. A.
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A curious student.

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12
How did we discover the method of solving the linear 1st order ODE?
Nov 11, 2024
question
7
Prove $\sum\limits_{i=1}^{N} m_i \ c_i \ \ln \left[\frac{\sum\limits_{i=1}^{N} m_i \ c_i \ T_i}{T_i \sum\limits_{i=1}^{N} m_i \ c_i}\right] > 0$?
Sep 19, 2024
question
6
Analytical solution of the equation for the launch angle of a projectile travelling the maximum trajectory length
May 8, 2024
answer
6
Can you find distinct integers $a, b,$ and $c$ such that $a-b$ divides $b-c$, $b-c$ divides $c-a$, and $c-a$ divides $a-b$?
Oct 25, 2024
answer
6
Evaluate $\int_0^{\frac{\pi}{4}}\arctan\sqrt{\frac{\cos 2x}{2\cos^2x}}dx$
Nov 1, 2024
answer
5
Evaluate $\int_0^{\frac{\pi}{4}}\arctan\sqrt{\frac{\cos 2x}{2\cos^2x}}dx$
Nov 1, 2024
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5
Is there any integral for the Golden Ratio?
Dec 1, 2024
question
4
How to solve (or verify) the following inequality?
Sep 15, 2024
question
3
Conformal map from the region outside a semicircle to the region outside a disk of radius $\frac{R}{\sqrt 2}$ centred at the origin
Nov 29, 2023
question
3
How to solve $(a+b+c-x)^2 x \ge 4abc$, with $x \lt a+b+c$ and $x \in \mathbb{R}^{+}, \quad a,b,c \in \mathbb{R}^{+}$?
Sep 10, 2024

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19
Paradox about white dwarfs and ionization
8
Number of fog droplets in the air
6
Contrasting results about time intervals measured by stationary and moving observers: why?
5
Doubt and contradiction on Electromagnetism and about combination of Relativity and Quantum Mechanics, according to Feynman Lectures on Physics
5
Why is the entropy change for a system in irreversible transformations the same as in reversible transformations in some cases, not in other cases?