Proper velocity addition formula: where formula_3 is the beta factor given by formula_4. or in terms of logarithms: Proper velocity is useful for comparing the speed of objects with momentum per unit rest mass ("w") greater than lightspeed "c". The coordinate speed of such objects is generally near lightspeed, whereas proper velocity tells us how rapidly they are covering ground on "traveling-object clocks". This is important for example if, like some cosmic ray particles, the traveling objects have a finite lifetime. Proper velocity also clues us in to the object's momentum, which has no upper bound. For example, a 45 GeV electron
Mercy Multiplied early 2008, Mercy Multiplied have attracted considerable media attention in Australia, followed by the United States and the United Kingdom, drawing criticism of their employment of unqualified staff, overall medical negligence, and the use of demonic deliverance in their approach to treatment. The company's rebranding efforts from Mercy Ministries to Mercy Multiplied, but also including the new brand A Girl Called Hope in New Zealand, were criticized as attempts to silence critics. Mercy Multiplied is endorsed by Joyce Meyer, who contributed "hundreds of thousands of dollars" in addition to providing teaching materials for the Mercy program and helping the St.