diff --git a/MachineLearning/src/Runtime/Runtime.csproj b/MachineLearning/src/Runtime/Runtime.csproj
index 51305f555db..e9e8700740f 100644
--- a/MachineLearning/src/Runtime/Runtime.csproj
+++ b/MachineLearning/src/Runtime/Runtime.csproj
@@ -2,6 +2,11 @@
   <PropertyGroup>
     <TargetFramework>netstandard2.1</TargetFramework>
     <PlatformTarget>x64</PlatformTarget>
+    <AssemblyName>Microsoft.Quantum.MachineLearning.Runtime</AssemblyName>
+  </PropertyGroup>
+
+  <PropertyGroup>
+    <RunQDocGen>True</RunQDocGen>
   </PropertyGroup>
 
   <ItemGroup>
diff --git a/Standard/src/Arithmetic/Reflections.qs b/Standard/src/Arithmetic/Reflections.qs
index e3240c9c464..81e2af3afdc 100644
--- a/Standard/src/Arithmetic/Reflections.qs
+++ b/Standard/src/Arithmetic/Reflections.qs
@@ -3,27 +3,39 @@ namespace Microsoft.Quantum.Arithmetic {
     open Microsoft.Quantum.Convert;
     open Microsoft.Quantum.Intrinsic;
     open Microsoft.Quantum.Canon;
+    open Microsoft.Quantum.Logical;
 
-	///Flip the sign of just one amplitude
-	operation ReflectAboutInteger(index : Int, reg : LittleEndian): Unit is Adj + Ctl {
-        let nQubits = Length(reg!);
-        let bitstring = IntAsBoolArray(index, nQubits);
-        if (nQubits < 2) {
-            within {
-                if (not bitstring[0]) {
-                    X(reg![0]);
-                }
-            } apply {
-                Z(reg![0]);
-            }
-        } else {
-            within {
-                ApplyToEachCA(CControlledCA(X), Zip(bitstring, reg!));
-            } apply {
-                (Controlled Z)(Most(reg!), Tail(reg!)); //The true complexity of this operation is in O(nQubits)
-            }
+	/// # Summary
+    /// Reflects a quantum register about a given classical integer.
+    ///
+    /// # Description
+    /// Given a quantum register initially in the state $\sum_i \alpha_i \ket{i}$,
+    /// where each $\ket{i}$ is a basis state representing an integer $i$,
+    /// reflects the state of the register about the basis state for a given
+    /// integer $\ket{j}$,
+    /// $$
+    ///     \sum_i (-1)^{ \delta_{ij} } \alpha_i \ket{i}
+    /// $$
+    ///
+    /// # Input
+    /// ## index
+    /// The classical integer indexing the basis state about which to reflect.
+    ///
+    /// # Remarks
+    /// This operation is implemented in-place, without explicit allocation of
+    /// additional auxillary qubits.
+	operation ReflectAboutInteger(index : Int, reg : LittleEndian) : Unit is Adj + Ctl {
+        within {
+            // We want to reduce to the problem of reflecting about the all-ones
+            // state. To do that, we apply our reflection within an application
+            // of X instructions that flip all the zeros in our index.
+            ApplyToEachCA(
+                CControlledCA(X),
+                Zip(Mapped(Not, IntAsBoolArray(index, Length(reg!))), reg!)
+            );
+        } apply {
+            (Controlled Z)(Most(reg!), Tail(reg!));
         }
-	} //_amplitudeSignFlip
-
+	}
 
 }
diff --git a/Standard/src/Math/Functions.qs b/Standard/src/Math/Functions.qs
index 0f2cf4d4cd4..7fc4cd2300e 100644
--- a/Standard/src/Math/Functions.qs
+++ b/Standard/src/Math/Functions.qs
@@ -611,7 +611,7 @@ namespace Microsoft.Quantum.Math {
     }
 
 
-	/// # Summary
+    /// # Summary
     /// Returns the squared 2-norm of a vector.
     ///
     /// # Description
@@ -625,12 +625,12 @@ namespace Microsoft.Quantum.Math {
     /// # Output
     /// The squared 2-norm of `array`.
     function SquaredNorm(array : Double[]) : Double {
-		mutable ret = 0.0;
-		for (element in array) {
-			set ret += element * element;
-		}
-		return ret;
-	}
+        mutable ret = 0.0;
+        for (element in array) {
+            set ret += element * element;
+        }
+        return ret;
+    }
 
 
     /// # Summary
diff --git a/Standard/src/Measurement/Reset.qs b/Standard/src/Measurement/Reset.qs
index bdc45200efe..f9687a7a678 100644
--- a/Standard/src/Measurement/Reset.qs
+++ b/Standard/src/Measurement/Reset.qs
@@ -17,7 +17,7 @@ namespace Microsoft.Quantum.Measurement {
     }
 
 
-	/// # Summary
+    /// # Summary
     /// Sets a qubit to a given computational basis state by measuring the
     /// qubit and applying a bit flip if needed.
     ///
@@ -30,7 +30,7 @@ namespace Microsoft.Quantum.Measurement {
     /// # Remarks
     /// As an invariant of this operation, calling `M(q)` immediately
     /// after `SetToBasisState(result, q)` will return `result`.
-	operation SetToBasisState(desired : Result, target : Qubit) : Unit {
+    operation SetToBasisState(desired : Result, target : Qubit) : Unit {
         if (desired != M(target)) {
             X(target);
         }
diff --git a/Standard/tests/AmplitudeAmplificationTests.qs b/Standard/tests/AmplitudeAmplificationTests.qs
index fb98ac602ba..8f0ce1952e2 100644
--- a/Standard/tests/AmplitudeAmplificationTests.qs
+++ b/Standard/tests/AmplitudeAmplificationTests.qs
@@ -1,5 +1,6 @@
 // Copyright (c) Microsoft Corporation. All rights reserved.
 // Licensed under the MIT License.
+
 namespace Microsoft.Quantum.Tests {
     open Microsoft.Quantum.Intrinsic;
     open Microsoft.Quantum.Canon;
diff --git a/Standard/tests/Arithmetic/ReflectionTests.qs b/Standard/tests/Arithmetic/ReflectionTests.qs
new file mode 100644
index 00000000000..5002490cd97
--- /dev/null
+++ b/Standard/tests/Arithmetic/ReflectionTests.qs
@@ -0,0 +1,29 @@
+// Copyright (c) Microsoft Corporation. All rights reserved.
+// Licensed under the MIT License.
+
+namespace Microsoft.Quantum.Tests {
+    open Microsoft.Quantum.Intrinsic;
+    open Microsoft.Quantum.Arithmetic;
+    open Microsoft.Quantum.Diagnostics;
+
+    operation ManuallyReflectAboutFive(register : Qubit[]) : Unit is Adj + Ctl {
+        within {
+            X(register[1]);
+        } apply {
+            Controlled Z(register[0..1], register[2]);
+        }
+    }
+
+    operation ReflectAboutFiveUsingLibrary(register : Qubit[]) : Unit is Adj + Ctl {
+        let littleEndian = LittleEndian(register);
+        ReflectAboutInteger(5, littleEndian);
+    }
+
+    operation ReflectAboutIntegerTest() : Unit {
+        AssertOperationsEqualReferenced(3,
+            ReflectAboutFiveUsingLibrary,
+            ManuallyReflectAboutFive
+        );
+    }
+
+}
diff --git a/Standard/tests/ArrayTests.qs b/Standard/tests/ArrayTests.qs
index 528c2f968ba..0cf9e169289 100644
--- a/Standard/tests/ArrayTests.qs
+++ b/Standard/tests/ArrayTests.qs
@@ -153,6 +153,14 @@ namespace Microsoft.Quantum.Tests {
         }
     }
 
+    function IsEmptyTest() : Unit {
+        Fact(IsEmpty(new Int[0]), "Empty array marked as non-empty.");
+        Fact(IsEmpty(new Qubit[0]), "Empty array marked as non-empty.");
+        Fact(IsEmpty(new (Double, (Int -> String))[0]), "Empty array marked as non-empty.");
+        Fact(not IsEmpty([PauliX, PauliZ]), "Non-empty array marked as empty.");
+        Fact(not IsEmpty([""]), "Non-empty array marked as empty.");
+    }
+
 }
 
 
diff --git a/Standard/tests/CombinatorTests.qs b/Standard/tests/CombinatorTests.qs
index 5376e10e04b..9834abaec41 100644
--- a/Standard/tests/CombinatorTests.qs
+++ b/Standard/tests/CombinatorTests.qs
@@ -1,5 +1,6 @@
 // Copyright (c) Microsoft Corporation. All rights reserved.
 // Licensed under the MIT License.
+
 namespace Microsoft.Quantum.Tests {
     open Microsoft.Quantum.Math;
     open Microsoft.Quantum.Canon;
@@ -349,4 +350,30 @@ namespace Microsoft.Quantum.Tests {
         AssertOperationsEqualReferenced(2, ApplyIfElseBCACase(false, _), ApplyToEachA(X, _));
     }
 
+    operation ApplyXToSecondQubit(qubits : Qubit[]) : Unit is Adj + Ctl {
+        X(qubits[1]);
+    }
+
+    operation ApplyToElementTest() : Unit {
+        AssertOperationsEqualReferenced(3,
+            ApplyToElement(X, 1, _),
+            ApplyXToSecondQubit
+        );
+        
+        AssertOperationsEqualReferenced(3,
+            ApplyToElementC(X, 1, _),
+            ApplyXToSecondQubit
+        );
+        
+        AssertOperationsEqualReferenced(3,
+            ApplyToElementA(X, 1, _),
+            ApplyXToSecondQubit
+        );
+        
+        AssertOperationsEqualReferenced(3,
+            ApplyToElementCA(X, 1, _),
+            ApplyXToSecondQubit
+        );
+    }
+
 }
diff --git a/Standard/tests/Logical/PredicateTests.qs b/Standard/tests/Logical/PredicateTests.qs
index 75270552c88..5c970d97e46 100644
--- a/Standard/tests/Logical/PredicateTests.qs
+++ b/Standard/tests/Logical/PredicateTests.qs
@@ -96,4 +96,10 @@ namespace Microsoft.Quantum.Tests {
         Fact(not LessThanOrEqualL(32L, -13L), "LessThanOrEqualL returned wrong output.");
     }
 
+    function NearlyEqualDTest() : Unit {
+        Fact(NearlyEqualD(1.0, 1.0), "Exactly equal numbers marked as not nearly equal.");
+        Fact(NearlyEqualD(1.0, 1.0 + 1e-15), "Nearly equal numbers marked as not nearly equal.");
+        Fact(not NearlyEqualD(1.0, 1000.0), "Not nearly equal numbers marked as nearly equal.");
+    }
+
 }
diff --git a/Standard/tests/Math/MathTests.qs b/Standard/tests/Math/MathTests.qs
index 0476d1cb770..3a8c27b1321 100644
--- a/Standard/tests/Math/MathTests.qs
+++ b/Standard/tests/Math/MathTests.qs
@@ -150,6 +150,12 @@ namespace Microsoft.Quantum.Canon {
             }
         }
     }
+
+    function SquaredNormTest() : Unit {
+        NearEqualityFactD(SquaredNorm([2.0]), 4.0);
+        NearEqualityFactD(SquaredNorm([1.0, 1.0]), 2.0);
+        NearEqualityFactD(SquaredNorm([3.0, 4.0]), 25.0);
+    }
     
 }
 
diff --git a/Standard/tests/Measurement/ResetTests.qs b/Standard/tests/Measurement/ResetTests.qs
new file mode 100644
index 00000000000..45056d785e2
--- /dev/null
+++ b/Standard/tests/Measurement/ResetTests.qs
@@ -0,0 +1,24 @@
+// Copyright (c) Microsoft Corporation. All rights reserved.
+// Licensed under the MIT License.
+
+namespace Microsoft.Quantum.Tests {
+    open Microsoft.Quantum.Measurement;
+    open Microsoft.Quantum.Intrinsic;
+    open Microsoft.Quantum.Diagnostics;
+
+    operation CheckSetToBasisState(desired : Result) : Unit {
+        using (q = Qubit()) {
+            Ry(0.1234, q);
+            SetToBasisState(desired, q);
+            AssertQubit(desired, q);
+            Reset(q);
+        }
+    }
+
+    operation SetToBasisStateTest() : Unit {
+        for (desired in [Zero, One]) {
+            CheckSetToBasisState(desired);
+        }
+    }
+
+}