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Cleanup unicode variable names.
1 parent c064e80 commit b27f1e4

2 files changed

Lines changed: 15 additions & 15 deletions

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src/Functions/Special.php

Lines changed: 9 additions & 9 deletions
Original file line numberDiff line numberDiff line change
@@ -128,8 +128,8 @@ public static function gammaLanczos(float $z): float
128128
* sin πz * Γ(1 - z)
129129
*/
130130
if ($z < 0.5) {
131-
$Γ⟮1 − z⟯ = self::gammaLanczos(1 - $z);
132-
return $π / ( \sin($π * $z) * $Γ⟮1 − z⟯);
131+
$Γ⟮1z⟯ = self::gammaLanczos(1 - $z);
132+
return $π / ( \sin($π * $z) * $Γ⟮1z⟯);
133133
}
134134

135135
// Standard Lanczos formula when z ≥ 0.5
@@ -143,16 +143,16 @@ public static function gammaLanczos(float $z): float
143143

144144
// Compute parts of equation
145145
$√2π = \sqrt(2 * $π);
146-
$⟮z + g +½⟯ᶻ⁺½ = \pow($z + $g + 0.5, $z + 0.5);
147-
$ℯ^−⟮z + g +½⟯ = \exp(-($z + $g + 0.5));
146+
$⟮z+g+½⟯ᶻ⁺½ = \pow($z + $g + 0.5, $z + 0.5);
147+
$ℯ^−⟮z+g+½⟯ = \exp(-($z + $g + 0.5));
148148

149149
/**
150150
* Put it all together:
151151
* __ / 1 \ z+½
152152
* √2π | z + g + - | e^-(z+g+½) A(z)
153153
* \ 2 /
154154
*/
155-
return $√2π * $⟮z + g +½⟯ᶻ⁺½ * $ℯ^−⟮z + g +½⟯ * $A⟮z⟯;
155+
return $√2π * $⟮z+g+½⟯ᶻ⁺½ * $ℯ^−⟮z+g+½⟯ * $A⟮z⟯;
156156
}
157157

158158
/**
@@ -195,7 +195,7 @@ public static function gammaStirling(float $n): float
195195
$√2π = \sqrt(2 * \M_PI);
196196
$ℯ⁻ⁿ = \exp(-$n);
197197
$√1/n = \sqrt(1 / $n);
198-
$⟮n + 1/⟮12n − 1/10n⟯⟯ⁿ = \pow($n + 1 / (12 * $n - 1 / (10 * $n)), $n);
198+
$⟮n1/⟮12n1/10n⟯⟯ⁿ = \pow($n + 1 / (12 * $n - 1 / (10 * $n)), $n);
199199

200200
/**
201201
* Put it all together:
@@ -204,7 +204,7 @@ public static function gammaStirling(float $n): float
204204
* Γ(n)≈ √2π ℯ⁻ⁿ / - | n + ----------- |
205205
* √ n \ 12n - 1/10n /
206206
*/
207-
return $√2π * $ℯ⁻ⁿ * $√1/n * $⟮n + 1/⟮12n − 1/10n⟯⟯ⁿ;
207+
return $√2π * $ℯ⁻ⁿ * $√1/n * $⟮n1/⟮12n1/10n⟯⟯ⁿ;
208208
}
209209

210210
/**
@@ -612,9 +612,9 @@ private static function betaBasic(float $x, float $y): float
612612
{
613613
$Γ⟮x⟯ = self::Γ($x);
614614
$Γ⟮y⟯ = self::Γ($y);
615-
$Γ⟮x + y⟯ = self::Γ($x + $y);
615+
$Γ⟮xy⟯ = self::Γ($x + $y);
616616

617-
return 1 / $Γ⟮x + y⟯ * $Γ⟮x⟯ * $Γ⟮y⟯;
617+
return 1 / $Γ⟮xy⟯ * $Γ⟮x⟯ * $Γ⟮y⟯;
618618
}
619619

620620
/**

src/Statistics/Descriptive.php

Lines changed: 6 additions & 6 deletions
Original file line numberDiff line numberDiff line change
@@ -100,9 +100,9 @@ public static function variance(array $numbers, int $ν): float
100100
throw new Exception\OutOfBoundsException('Degrees of freedom must be > 0');
101101
}
102102

103-
$∑⟮xᵢ − μ⟯² = RandomVariable::sumOfSquaresDeviations($numbers);
103+
$∑⟮xᵢμ⟯² = RandomVariable::sumOfSquaresDeviations($numbers);
104104

105-
return $∑⟮xᵢ − μ⟯² / $ν;
105+
return $∑⟮xᵢμ⟯² / $ν;
106106
}
107107

108108
/**
@@ -194,7 +194,7 @@ public static function weightedSampleVariance(array $numbers, array $weights, bo
194194
}
195195

196196
$μw = Average::weightedMean($numbers, $weights);
197-
$∑wᵢ⟮xᵢ − μw⟯² = \array_sum(\array_map(
197+
$∑wᵢ⟮xᵢμw⟯² = \array_sum(\array_map(
198198
function ($xᵢ, $wᵢ) use ($μw) {
199199
return $wᵢ * \pow(($xᵢ - $μw), 2);
200200
},
@@ -206,7 +206,7 @@ function ($xᵢ, $wᵢ) use ($μw) {
206206
? \array_sum($weights)
207207
: \array_sum($weights) - 1;
208208

209-
return $∑wᵢ⟮xᵢ − μw⟯² / $∑wᵢ;
209+
return $∑wᵢ⟮xᵢμw⟯² / $∑wᵢ;
210210
}
211211

212212
/**
@@ -286,15 +286,15 @@ public static function meanAbsoluteDeviation(array $numbers): float
286286
}
287287

288288
$x = Average::mean($numbers);
289-
$∑│xᵢ − x│ = \array_sum(\array_map(
289+
$∑│xᵢx│ = \array_sum(\array_map(
290290
function ($xᵢ) use ($x) {
291291
return \abs($xᵢ - $x);
292292
},
293293
$numbers
294294
));
295295
$N = \count($numbers);
296296

297-
return $∑│xᵢ − x│ / $N;
297+
return $∑│xᵢx│ / $N;
298298
}
299299

300300
/**

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