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Incenter and circumcenter of triangle ABC collinear with orthocenter of MNP, tangency points of incircle 3 Prove that orthocenter of the triangle formed by the arc midpoints of triangle ABC is the incenter of ABC
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$\begingroup$ More specifically: I am not a doctor.But (1) suffering a psychological blow to your self esteem, followed by (2) frustration, (3) disappointment, (4) months-long lassitude, (5) lack of motivation and discipline leading to giving up easily, (6) self doubt ("I can't do math"), (7) anhedonia -- failure to take pleasure in things you previously enjoyed, and finally (8) being the age ...
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Mathematics help chat. Mathematics Meta your communities . Sign up or log in to customize your list. more stack exchange communities ... Log in with Google Log in with Facebook . Email. Password Forgot password? Log in. Don't have an account? Sign up ...
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Stack Exchange network consists of 176 Q&A; communities including Stack Overflow, ... Sign up or log in to customize your list. more stack exchange communities company blog. By ... A Cantor-like set formed by removing open intervals of increasing length. 4.
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Wolfram. Apparently, this user prefers to keep an air of mystery about them. 57. answers. 0. questions ~37k. people reached. Moscow, Russia. Member for 4 years, 1 month. 594 profile views. Last seen Dec 28 '20 at 9:01. Communities (58) Mathematics 2k 2k 4 4 silver badges 12 12 bronze badges;
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My teacher told me that the natural logarithm of a negative number does not exist, but $$\ln(-1)=\ln (e^{i\pi})=i\pi$$ So, is it logical to have the natural logarithm of a negative number?
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However, it happens that in higher mathematics, the common log just isn't very important. So for convenience, mathematicians often use the notation $\log$ to represent the natural log. Wolfram Alpha does things the same way.
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$\log (x)$ refers to $\log_2 (x)$ in computer science and information theory. $\log(x)$ refers to $\log_e(x)$ or the natural logrithm in mathematical analysis, physics, chemistry, statistics, economics, and some engineering fields. $\log(x)$ refers to $\log_{10}(x)$ in various engineering fields, logarithm tables, and handheld calculators.
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$\begingroup$ The case you raised is carry-out for unsigned arithmetic; for signed arithmetic like in 2's complement, it is called overflow. $\endgroup$ - Chris Tang Feb 12 '20 at 12:31 $\begingroup$ Overflow means the operands with the same sign lead to the sum of the opposite sign, and unsigned arithmetic obviously has no consideration on ...
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$\begingroup$ Yes, it's a good question, and this is part of the reason there's been so much discussion about the meaning of probability. In practice if someone is going to toss a coin 10,000 times, the best prediction you can make is that the result will be heads about half the time.
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$$\log(-1)=(2n+1)\pi i, n=0,\pm1,... $$ The definition of logarithm I am using is, $\log z$ is any complex n... Stack Exchange Network Stack Exchange network consists of 176 Q&A; communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
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How to determine periodicity of complex log in different bases? 2. The Logarithm of Subtraction of two variables. 1. Construction of complex numbers and exponent rules for them. 0. Simplification of a logarithm expression. 1.
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I have a very simple question. I am confused about the interpretation of log differences. Here a simple example: $$\log(2)-\log(1)=.3010$$ With my present understanding, I would interpret the result as follows: the number $2$ is $30,10\%$ greater than $1,$ which is obviously false. Can anyone lead me to the right interpretation? Thanks.
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Checking with Wolfram Alpha whether the two evaluations are equal will output no. $\frac{1}{8}(\cos 3x \cos x + 3 \sin x \sin 3x)$ is not equal to $\frac{1}{8} (2 \cos 2x - \cos 4x)$." /> Can anyone explain why these two aren't equal? Are both correct antiderivatives, and there is something going on which I haven't learnt yet?
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Going a little round-about way. Consider, for $ s \geqslant 0$, a parametric modification of the integral at hand: $$ \mathcal{I}(s) = \int_0^1 \frac{\log(1+s x)}{1+x^2} \mathrm{d} x $$ The goal is to determine $\mathcal{I}(1)$.
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Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up.
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Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up.
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