Instruction: Answer the given question by extracting information from the supporting document.

Input:
Question: Does it have a thermostat, that cycles on and of when it reaches set temperature?
Document: In fairness, it does eventually reach the desired temperature however. Additionally, when I press some of the buttons on my TV remote, the heater also responds and reduces the desired temperature by 1 degree for each time pressed. This can be a problem when watching TV in the bedroom. I seldom give a severely poor rating to any product, but this time I must rate this one with only 1 star. Not only does it miss meeting my most important needs, it advertised that it DOES meet those needs.
This little heater is just what Iwas looking for. I needed a heater that would help heat a bed room that stays about 5 degrees cooler than the rest of the house . This heater did the job. The heater raised the room temp about 4 degrees in about. Half hour and cycles on periodically to maintain that temp. I would buy another if the need arose.
I purchased this heater in February 2012. It no longer works! I can't get my money back and there is no way to get it fixed. We have cleaned the filter as suggested and nothing. The thermostat never worked at all, but it did heat the room sufficient so we let it go. Now it won't do anything! I am so disappointed!!! Here's another thing we figured out. The remote frequency is on the same as our flat screen TV.
We used this all winter - this long cold winter. It was great to have in the living room in the evenings.
We use it to heat an isolated bedroom & it takes the edge off - We keep it on a 60 degree setting. The remote is slow to respond & cheap.
Very quiet, no smell and easy to move. I probably should have bought at least one of the 1500 watt units, but no problems at all with these units so far. Will likely get a 1500 watt unit soon.
Thought I was getting a great deal . Blower was not a tornado ,  but I could deal with it .. Didn't seem to heat my room very well .. Then it start making sounds as if it arching.. Sometimes the heater would be glowing with no fan. Then fan was constantly blowing with no heat. Then finally it just stopped working ..Maybe I got a bad one.
This product was a bit of a disappointment. It was much too noisy and it did not put out as much heat as I would have liked.
This is my first infrared heater, I am so pleased. It is quiet, dependable and enjoy being able to control the heat settings. Thank you for an excellent heater.
This is a quality heater at a much more reasonable price than some of the 'full page newspaper advertised" heaters that I've seen. It's not magic like those but I don't think they make any ridiculous  claims for it either----I don't think it gives away anything to those magic heaters----so I'd recommend it for use as a small apace heater
Answer: Yes. You set it at the temperature you want and it shuts off once that is reached and turns back on when it gets below that.