updated index pages

Several small mistakes/errors were corrected in several proofs/definitions.

Author: JoramSoch

I/Proof_by_Author.md

@@ -4,13 +4,14 @@ title: "Proof by Author"
 ---
 
 
-### JoramSoch (250 proofs)
+### JoramSoch (252 proofs)
 
 - [(Non-)Multiplicativity of the expected value](/P/mean-mult)
 - [Accuracy and complexity for the univariate Gaussian](/P/ug-anc)
 - [Accuracy and complexity for the univariate Gaussian with known variance](/P/ugkv-anc)
 - [Addition law of probability](/P/prob-add)
 - [Addition of the differential entropy upon multiplication with a constant](/P/dent-add)
+- [Addition of the differential entropy upon multiplication with invertible matrix](/P/dent-addvec)
 - [Additivity of the Kullback-Leibler divergence for independent distributions](/P/kl-add)
 - [Additivity of the variance for independent random variables](/P/var-add)
 - [Bayes' rule](/P/bayes-rule)
@@ -142,6 +143,7 @@ title: "Proof by Author"
 - [Monotonicity of probability](/P/prob-mon)
 - [Monotonicity of the expected value](/P/mean-mono)
 - [Necessary and sufficient condition for independence of multivariate normal random variables](/P/mvn-ind)
+- [Non-invariance of the differential entropy under change of variables](/P/dent-noninv)
 - [Non-negativity of the Kullback-Leibler divergence](/P/kl-nonneg)
 - [Non-negativity of the Kullback-Leibler divergence](/P/kl-nonneg2)
 - [Non-negativity of the Shannon entropy](/P/ent-nonneg)

I/Proof_by_Number.md

@@ -266,3 +266,5 @@ title: "Proof by Number"
 | P258 | pdf-sumind | [Probability density function of a sum of independent discrete random variables](/P/pdf-sumind) | JoramSoch | 2021-08-30 |
 | P259 | cf-fct | [Characteristic function of a function of a random variable](/P/cf-fct) | JoramSoch | 2021-09-22 |
 | P260 | mgf-fct | [Moment-generating function of a function of a random variable](/P/mgf-fct) | JoramSoch | 2021-09-22 |
+| P261 | dent-addvec | [Addition of the differential entropy upon multiplication with invertible matrix](/P/dent-addvec) | JoramSoch | 2021-10-07 |
+| P262 | dent-noninv | [Non-invariance of the differential entropy under change of variables](/P/dent-noninv) | JoramSoch | 2021-10-07 |

I/Proof_by_Topic.md

@@ -14,6 +14,7 @@ title: "Proof by Topic"
 - [Accuracy and complexity for the univariate Gaussian with known variance](/P/ugkv-anc)
 - [Addition law of probability](/P/prob-add)
 - [Addition of the differential entropy upon multiplication with a constant](/P/dent-add)
+- [Addition of the differential entropy upon multiplication with invertible matrix](/P/dent-addvec)
 - [Additivity of the Kullback-Leibler divergence for independent distributions](/P/kl-add)
 - [Additivity of the variance for independent random variables](/P/var-add)
 
@@ -186,6 +187,7 @@ title: "Proof by Topic"
 ### N
 
 - [Necessary and sufficient condition for independence of multivariate normal random variables](/P/mvn-ind)
+- [Non-invariance of the differential entropy under change of variables](/P/dent-noninv)
 - [Non-negativity of the Kullback-Leibler divergence](/P/kl-nonneg)
 - [Non-negativity of the Kullback-Leibler divergence](/P/kl-nonneg2)
 - [Non-negativity of the Shannon entropy](/P/ent-nonneg)