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 Henry Cloud and John Townsend and "The Battlefield of the Mind" by Joyce Meyer. In addition to individual and group counseling, other aspects of the Mercy Multiplied program include praise and worship, bible reading, listening to sermons and Christian teachings (both during scheduled class times as well as for prescribed counseling homework), cooking, cleaning and recreational time. During class time, residents are taught from preachers such as Beth Moore, Priscilla Shirer, Jordan Rubin, Joyce Meyer, Andy Stanley, Louie Giglio and Dave Ramsey. The Mercy Multiplied website states that they also facilitate "life-skills training", "nutritional care" and "financial management instruction". Since