There are no martingales on Howrse.
Richard Durrett has written: 'Brownian motion and martingales in analysis' -- subject(s): Brownian motion processes, Martingales (Mathematics)
Nicolas Bouleau has written: 'Probabilites de l'ingenieur variables aleatoires et simulation' 'Financial Markets and Martingales' -- subject(s): Investment analysis, Portfolio management, Martingales (Mathematics)
F. Hirsch has written: 'Method to their madness' 'Peacocks and associated martingales, with explicit constructions' -- subject(s): Mathematical models, Distribution (Probability theory), Martingales (Mathematics), Finance 'The pound sterling'
If your horse is properly schooled, no. They're usually a lazy way of riding.
I'm not sure what is meant by an "English hackamore". If your talking about a cavison this is usually part of the English headstall (bridle without reins). With this cavison you can attatch different training devices like a running or standing martingales.
Uhhh.... you're not really supposed to have the bridle attached to the saddle unless you're using martingales.
It depends on what you mean. You can use whips and spurs and in some cases martingales, but it depends on the specific rules of the sport.
At least a bridle and a saddle. Each has their own parts as well. Some horses may need martingales and saddle pads and leg wraps. Don't skimp on tack, the more comfortable the horse is, the easier it is to ride.
many types
Thousands of types.
there are many different types