Updated and moved mathematical physics to physics section.

config/en/mkdocs.yaml

@@ -112,12 +112,12 @@ nav:
       - 'Second order differential equations': mathematics/ordinary-differential-equations/second-order-ode.md
       - 'Systems of linear differential equations': mathematics/ordinary-differential-equations/systems-of-linear-ode.md
       - 'The Laplace transform': mathematics/ordinary-differential-equations/laplace-transform.md
+
+  - 'Physics':
+    - physics/index.md
     - 'Mathematical physics': 
       - 'Signal analysis': 
         - 'Signals': mathematics/mathematical-physics/signal-analysis/signals.md
-        
-  - 'Physics':
-    - physics/index.md
     
   - 'Chemistry':
     - chemistry/index.md

docs/en/physics/index.md

@@ -5,10 +5,11 @@ Welcome to the physics page. Some special physical environments that will be use
 * *Principles*: a fundamental rule or concept in physics serving as a basis for reasoning. 
 * *Assumptions*: a less fundamental rule or concept in physics that is taken to be true such that certain phenoma can be simplified. 
 * *Definitions*: a precise and unambiguous description of the meaning of a physical term. It characterizes the meaning of a word by giving all the properties an only those properties that must be true.
+* *Theorems*: a mathematical statement that is proved to be true using rigorous mathematical reasoning. In a mathematical text, the term theorem is often reserved for the most important results.
 * *Laws*: a physical statement that is proved to be true, under the made assumptions and posed principles. In a physical text, the term law is often reserved for the most important results.
-* *Propositions*: an often interesting result, but generally less important than a law.
-* *Lemmas*: a minor result whose purpose is to help in proving a law. It is a stepping stone on the path to proving a law.
-* *Corollaries*: a result in which the proof relies heavily on a given law.
+* *Propositions*: an often interesting result, but generally less important than a theorem or law.
+* *Lemmas*: a minor result whose purpose is to help in proving a theorem or law. It is a stepping stone on the path to proving a theorem or law.
+* *Corollaries*: a result in which the proof relies heavily on a given theorem or law.
 * *Proofs*: a convincing argument that a certain physical statement is necessarily true. A proof generally uses deductive reasoning and logic but also contains some amount of ordinary language.
 
 The physics sections of this wiki are based on various books and lectures. A comprehensive list of references can be found below.

docs/en/physics/mathematical-physics/signal-analysis/signals.md

@@ -3,6 +3,7 @@
 ## Definitions
 
 > *Definition*: a signal is a function of space and time.
+> 
 > * Output can be analog or quantised.
 > * Input can be continuous or discrete.
 
@@ -103,7 +104,7 @@ $$
     \lim_{\varepsilon \;\downarrow\; 0} \int_{-\infty}^{\infty} f(t) D(t, \varepsilon)dt = \lim_{\varepsilon \;\downarrow\; 0} \frac{1}{\varepsilon} \int_{-\frac{\varepsilon}{2}}^{\frac{\varepsilon}{2}} f(t) dt = f(0),
 $$
 
-using the mean [value theorem for integrals](../calculus/integration.md#the-mean-value-theorem-for-integrals).
+using the mean [value theorem for integrals](../../../mathematics/calculus/integration.md#the-mean-value-theorem-for-integrals).
 
 > *Definition*: the Dirac signal $\delta$ is a generalized signal defined by the properties 
 >
@@ -170,7 +171,7 @@ by definition.
 >   f(t) * \delta(t - t_0) = f(t - t_0)
 > $$
 >
-> for all $t \in \mathbb{R}$
+> for all $t \in \mathbb{R}$.
 
 ??? note "*Proof*:"