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Brazilian Jiu-jitsu is a martial art derived from traditional Japanese Jiu-jitsu schools (the teachings of the Samurai) and refined in Brazil by the Gracie family to develop a distinct, modern form that is particularly concious of the ground-fighting aspect of combat situations. BJJ forms the grappling backbone of most modern MMA training.
Of particular interest in training, and welcome initial components in an open-source martial-arts textbook, are:
- Understanding "phases of combat": free-range phase, clinch phase, and ground phase
- Positional advantage, positional relation hierarchy, overarching goal during combat to flow continually towards better positional relation (dominance/control)
- Efficiency of movement, focus on relaxed flow, sensitivity to balance, understanding & application of mechanical advantage
- Hold-downs & tie-ups
- Intersection of Aikido philosophy with BJJ technique: exploring BJJ's options for self-defense applicaiton, modern-world imperatives, minimum use of force, intersection of Aikido standup & BJJ ground, theory comparison of atemi & submissions
Drills
- Shrimping
- Sprawling
- "Gracie" Situps
- "Judo" pushups
- Belt climbing
- Belly crawling
- Frog-hopping
- Lunges
- Lying on back defensive drill ("keepaway" with the legs, touching the head game, getting up practice)
- 4-points Drill
- Leg pushups (partner balanced on feet)
- Body-climbing drill
- Flow drills
- Tense takedown drill

The Clinch
- Closing the distance (Clinching)
- Clinch positions
- Clinch submissions
Takedowns
- Double leg
- Single leg
- Judo hip throw
- Inside trip
- Tomoe Nage (Sit-down backwards takedown)
- Leg hook
Ground Positions
- Hierarchy of basic ground positions
- Basic position form & hand positions
- Guard
- Half-guard
- Side mount
- Knee on belly
- Mount
- Rear mount
- Basic Positions Drill

Escapes, passes & sweeps
- Escaping the Mount
- Upward hip-lift ("buck and roll", "upa") escape
- Arm around neck variation
- Elbow-knee ("shrimp") escape
- Foot drag
- Foot lift
- Mixed shrimp and buck drill
- Stabilizing the Mount
- Escaping side mount
- Elbow knee (shrimping)
- Spinout
- Going to the knees
- Escapes from scarf hold (kesa gatame)
- Passing the Guard
- Over the leg
- Under the leg
- Guard sweeps
- Scissor
- Knee push
- Hip bump (hip lift arm sweep)
- Flower
- Stabilizing the Guard
Submissions
- Rear naked choke
- Triangle choke
- Kimura
- Cross-collar choke
- Arm-bar
- Americana
- Anaconda
