Spartan Gold: chaos theory and more

pg 168

"Beyond that, it's all math and chaos theory."

Chaos theory is a field of study in mathematics, with applications in several disciplines including physics, engineering, economics, biology, and philosophy. Chaos theory studies the behavior of dynamical systems that are highly sensitive to initial conditions, an effect which is popularly referred to as the butterfly effect. Small differences in initial conditions (such as those due to rounding errors in numerical computation) yield widely diverging outcomes for chaotic systems, rendering long-term prediction impossible in general.

This happens even though these systems are deterministic, meaning that their future behavior is fully determined by their initial conditions, with no random elements involved. In other words, the deterministic nature of these systems does not make them predictable. This behavior is known as deterministic chaos, or simply chaos.

Chaotic behavior can be observed in many natural systems, such as weather. Explanation of such behavior may be sought through analysis of a chaotic mathematical model, or through analytical techniques such as recurrence plots and Poincaré maps.

"We'll get you a Swedish massage when we get back to the Four Seasons."

Massage is the manipulating of superficial and deeper layers of muscle and connective tissue using various techniques, to enhance function, aid in the healing process, and promote relaxation and well-being. The word comes from the French massage "friction of kneading", or from Arabic massa meaning "to touch, feel or handle" or from Latin massa meaning "mass, dough". In distinction the ancient Greek word for massage was anatripsis, and the Latin was frictio.

Massage involves working and acting on the body with pressure – structured, unstructured, stationary, or moving – tension, motion, or vibration, done manually or with mechanical aids. Target tissues may include muscles, tendons, ligaments, fascia, skin, joints, or other connective tissue, as well as lymphatic vessels, or organs of the gastrointestinal system. Massage can be applied with the hands, fingers, elbows, knees, forearm, and feet. There are over eighty different recognized massage modalities.

In professional settings massage involves the client being treated while lying on a massage table, sitting in a massage chair, or lying on a mat on the floor. The massage subject may be fully clothed or unclothed. In the case of the latter, the parts of the body that are not being massaged are usually covered with towels or sheets, but this can depend on the preference of the therapists and the type of work being performed. Almost all states in the US have licensing requirements for massage therapists.

Swedish massage uses five styles of long, flowing strokes to massage. The five basic strokes are effleurage (sliding or gliding), petrissage (kneading), tapotement (rhythmic tapping), friction (cross fiber) and vibration/shaking. Swedish massage has shown to be helpful in reducing pain, joint stiffness, and improving function in patients with osteoarthritis of the knee over a period of eight weeks. It has also been shown to be helpful in individuals with poor circulation.

The development of Swedish massage is often inaccurately credited to Per Henrik Ling, though the Dutch practitioner Johan Georg Mezger adopted the French names to denote the basic strokes. The term "Swedish" massage is actually only recognized in English, Québécois or Dutch speaking countries. Elsewhere the style is referred to as "classic massage".

"What else beside the spitting beetle, is found only in the Tuscan archipelago?"

The Tuscan Archipelago is a chain of islands between the Ligurian Sea and Tyrrhenian Sea, west of Tuscany, Italy.

The archipelago contains the islands of Gorgona, Capraia, Elba (the largest island of the group), Pianosa, Montecristo, Giglio, and Giannutri; all of which are protected as part of the Tuscan Archipelago National Park.

The islands' proximity to several major cities has made them a favourite tourist location. History and literature has ensured that most people are familiar with the islands of Elba and Montecristo.