Let's define the terms related to atmospheric conditions:
(a) Weather: Weather refers to the state of the atmosphere at a specific place and time, with respect to variables such as temperature, humidity, precipitation, wind, cloud cover, and atmospheric pressure. It describes short-term atmospheric conditions.
(b) Climate: Climate is the long-term average of weather patterns in a particular region, typically calculated over a period of 30 years or more. It describes the characteristic atmospheric conditions of an area over extended periods.
(c) Heat: Heat is a form of energy. In meteorology, it relates to thermal energy in the atmosphere, influencing temperature. It's a component of weather, not the state of the atmosphere itself.
(d) Cold: Cold is the relative absence of heat, perceived as low temperature. It's a description of a thermal state, a component of weather.
The question asks for "The state of the atmosphere over an area at any point in time." This precisely matches the definition of Weather.
\[ \boxed{\text{Weather}} \]