The ideas you're presenting involve hats with integrated technology for comfort, catering to different weather conditions. Here's how both concepts could be implemented:

1. Cooling Cap Hat with Head Cooling System:

   • Technology: A lightweight, breathable fabric with built-in, small, rechargeable cooling units (such as thermoelectric coolers) embedded into the inner lining. The cooling system would actively circulate air around the scalp, providing relief from heat. Fans or evaporative cooling systems could also help reduce sweat by absorbing moisture from the skin and providing a refreshing airflow.
   • Power Source: A compact, rechargeable battery pack, possibly located in the back of the cap or within a hidden compartment.
   • Control: An adjustable control button or app integration to regulate the cooling level.
   • Features: Sweat-wicking and quick-drying fabrics for the hat’s construction to reduce moisture buildup. It can be useful for outdoor activities in hot climates, working outdoors, or during sports.

2. Heating Beanie Woolen Hat for Cold Walks:

   • Technology: A soft woolen or knitted beanie with built-in heating elements, using carbon fiber or graphene wires that heat up when powered on. The heating elements would be distributed evenly to provide warmth across the entire hat.
   • Power Source: A small, rechargeable lithium-ion battery that fits snugly inside the hat, possibly in a small pocket or the edge of the hat.
   • Control: A button on the hat or integration with an app to control temperature settings.
   • Features: Insulating materials around the heating elements to trap warmth and prevent cold air from penetrating. The hat could also have moisture-wicking features to keep sweat from becoming uncomfortable in cold weather.

Both these hats could be designed with user-friendly technology and discreet controls, making them practical for everyday use or during specific activities.