They drop the course if the course can not satisfy their purpose. Ideally, the software must completely satisfy the set of requirements. Participants must satisfy instructors in order to advance. Titan did not satisfy either requirement. Thus, any narcissistic number must satisfy the inequality formula 32. Another says that "acquiring Canada would satisfy America's expansionist desires" . The matter must, of course, also satisfy whatever additional equations were imposed on its properties. Marketing provides services in order to satisfy customers. Repossession does not necessarily satisfy the loan. But this solution does not satisfy the constraints. Execution proceeds by attempting to find values for the variables which satisfy all declared constraints. Nothing less than absolute accuracy should satisfy the student. Indu regrets forcing Pushpinder into marrying to satisfy her financial needs. It will satisfy the analogous universal property. However, the spectral radius does not necessarily satisfy formula 7 for arbitrary vectors formula 8.