ex-2: fix table alignment
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@ -6,7 +6,8 @@
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The Euler-Mascheroni constant is defined as the limiting difference between the
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The Euler-Mascheroni constant is defined as the limiting difference between the
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partial sums of the harmonic series and the natural logarithm:
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partial sums of the harmonic series and the natural logarithm:
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$$
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$$
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\gamma = \lim_{n \rightarrow +\infty} \left( \sum_{k=1}^{n} \frac{1}{k}
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\gamma = \lim_{n \rightarrow +\infty} \left(
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\sum_{k=1}^{n} \frac{1}{k}
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- \ln(n) \right)
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- \ln(n) \right)
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$$ {#eq:gamma}
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$$ {#eq:gamma}
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@ -150,7 +151,7 @@ terms of floating points). Different values of $z$ were checked, with $z_{i+1}
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= z_i + 0.01$ ranging from 0 to 20, and the best result was found for $z = 9$.
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= z_i + 0.01$ ranging from 0 to 20, and the best result was found for $z = 9$.
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-----------------------------------------------
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-----------------------------------------------
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z $|γ(z) - γ|$ z $|γ(z) - γ|$
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z $|γ(z) - γ|$ z $|γ(z) - γ|$
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----- ---------------- ------ ----------------
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----- ---------------- ------ ----------------
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1 \num{9.712e-9} 8.95 \num{9.770e-9}
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1 \num{9.712e-9} 8.95 \num{9.770e-9}
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@ -170,7 +171,7 @@ z $|γ(z) - γ|$ z $|γ(z) - γ|$
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17 \num{9.971e-9} 9.03 \num{9.264e-9}
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17 \num{9.971e-9} 9.03 \num{9.264e-9}
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19 \num{10.084e-9} 9.04 \num{9.419e-9}
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19 \num{1.008e-8} 9.04 \num{9.419e-9}
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-----------------------------------------------
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-----------------------------------------------
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Table: Differences between some obtained values of $\gamma$ and
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Table: Differences between some obtained values of $\gamma$ and
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