Proper velocity by Hermann Minkowski's flat-space metric equation . Here a reference map frame of yardsticks and synchronized clocks define map position x and map time "t" respectively, and the "d" preceding a coordinate means infinitesimal change. A bit of manipulation allows one to show that proper velocity where as usual coordinate velocity . Thus finite "w" ensures that "v" is less than lightspeed "c". By grouping "γ" with v in the expression for relativistic momentum p, proper velocity also extends the Newtonian form of momentum as mass times velocity to high speeds without a need for relativistic mass. The proper velocity
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.