Energy which is transferred due to a temperature difference is sometimes known as heat or heat energy (or even thermal energy, although this is not a standard term). Conduction is sometimes described as a thermal energy transfer. You will have to decide if any of these terms are appropriate to your own scheme of work.
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The American Express black card qualifications include spending $250,000 in a given year on another AmEx card. That means you must have an existing American Express card (most likely a Platinum Card) for one year or more, and spend (and pay off) at least $250,000 over the course of a year.