It could be said that mathematics is the language of physics. That is another way of better understanding what is physics. Numerical values, units of measurement, and similar concepts are all mathematical in nature, and are used to describe physical quantities in the most accurate and precise manner.
In brief: Cough headache. There are a couple of possibilities. Coughing can raise the pressure inside your head, which can cause pain sometimes. There is also a poorly-understood entity called the primary cough headache,  that is associated with coughing, straining, laughing, crying, etc.
Call a doctor if your cough 1  : Frequently brings up yellow or green mucus from the lungs and lasts longer than 2 days. 2  Occurs with a fever of 101Â°F (38.3Â°C) or higher and brings up yellow or green mucus from the lungs (not postnasal drainage). 3  Causes you to vomit a lot. 4  Continues longer than 4 weeks. But a cough in which the mucus is definitely coming from the lungs rather than the nasal passages is a more serious problem, and you should contact your doctor. 2  You have signs of the flu (high fever, severe muscle aches or headache, and mild respiratory symptoms). 3  For more information, see the topic Influenza.