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Possibly expensive solution."
Very expensive. I was joking. Heat tape is good for pipes, BTW, if well placed in short lengths (7 watts per foot last time I looked). Heating small areas can help much, too Paul Wheaton did some experimentation.
micro heaters cut 87% off my electric heat bill
REALLY saving energy by heating the person instead of the whole househttp://www.richsoil.com/electric-heat.jsp