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Good books on mathematical logic?
I just started to learn mathematical logic. I'm a graduate student. I need a book with relatively more examples. Any recommendation?
Apr 17, 2026
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Determine which of the following relation is a function?
Given two set $ A = \{0, 2, 4, 6\}$ and $B = \{1, 3, 5, 7\}$, determine which of the following relation is a function? $(a) \{(6, 3), (2, 1), (0, 3), (4, ...
Apr 17, 2026
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Concentric Equilateral Triangles
I'm currently researching a particular dynamical system that is very geometric in nature. As part of this, I need to prove the following results (the...
Apr 17, 2026
![What is the term for a factorial type operation, but with summation instead of products? [duplicate]](https://news.conceivablytech.com/uploads/what-is-the-term-for-a-factorial-type-operation-but-with-summation-instead-of-products-duplicate_720.jpg)
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What is the term for a factorial type operation, but with summation instead of products? [duplicate]
(Pardon if this seems a bit beginner, this is my first post in math - trying to improve my knowledge while tackling Project Euler problems) I'm aware...
Apr 17, 2026
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Are any linear combination of normal random variables, normally distributed?
It is easy to show that if we have n independent normally distributed random variables, then a linear combination fo them ar normally distributed. It is a...
Apr 17, 2026
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Differential Equation and Picard Iteration
Write out $x_n(t)$ for the following differential equation: $$\frac{dx}{dt} = f(t,x) = x^2, x(0)=1$$ So using the Picard Iteration : $x_n(t) = x_0 + \int_...
Apr 17, 2026
![Limit of $a_1=\sqrt{3}$, $a_2=\sqrt{3\sqrt{3}}$, $a_3=\sqrt{3\sqrt{3\sqrt{3}}}$... [duplicate]](https://news.conceivablytech.com/uploads/limit-of-a-1-sqrt-3-a-2-sqrt-3-sqrt-3-a-3-sqrt-3-sqrt-3-sqrt-3-duplicate_720.jpg)
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Limit of $a_1=\sqrt{3}$, $a_2=\sqrt{3\sqrt{3}}$, $a_3=\sqrt{3\sqrt{3\sqrt{3}}}$... [duplicate]
Find the limit of: $a_1=\sqrt{3}$ $a_2=\sqrt{3\sqrt{3}}$ $a_3=\sqrt{3\sqrt{3\sqrt{3}}}$ ... By using induction, I found that the limit is 3 but it seems p...
Apr 17, 2026
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Dividing x by (1+x) the unusual way
Why this way of dision is not correct; that is, changing the order of the terms of divisor as and when required? Even though $1+x$ is same as $x+1$ Check:...
Apr 17, 2026
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Diagonalizing symmetric 2x2 matrix
If A is a $2\times2$ symmetric matrix ($A^T = A$) where $b$ does not equal zero ($a$'s are on the diagonal, $b$'s occupy the other $2$ spaces), ...
Apr 17, 2026
![Finding E[1/X] from E[X]](https://news.conceivablytech.com/uploads/finding-e-1-x-from-e-x_720.jpg)
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Finding E[1/X] from E[X]
Is there a shortcut? I already have E[X] where X=Y+1, thus I can separate it into E[Y]+E[1], and for Y, it's number of tries is n, and the probabilit...
Apr 17, 2026
