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Catastrophe theory studies dynamical systems that describe the evolution [5] of a state variable over time : ˙ = = (,) In the above equation, is referred to as the potential function, and is often a vector or a scalar which parameterise the potential function.
definition: is defined as metalanguage:= means "from now on, is defined to be another name for ." This is a statement in the metalanguage, not the object language. The notation may occasionally be seen in physics, meaning the same as :=.
The inverted U begins with the protagonist's rise to a position of prominence and well-being. At the top of the inverted U, the character enjoys good fortune and well-being. But a crisis or a turning point occurs, which marks the reversal of the protagonist's fortunes and begins the descent to disaster.
The Multi-dimensional Theory of Anxiety [7] is based on the distinction between somatic and cognitive anxiety. The theory predicts that a negative, linear relationship between somatic and cognitive anxiety, an Inverted-U relationship between somatic anxiety and performance, and that somatic anxiety declines once performance begins although cognitive anxiety may remain high, if confidence is low.
A U-shaped structure, that is, a story that begins with a state of equilibrium that descends to disaster and then upward to a new stable condition. This is the shape of a comedy. An inverted U-shape structure, that is, a story in which the protagonist rises to prominence and descends to disaster. This is the shape of tragedy.
Inverted U may refer to: Calmfors–Driffill hypothesis , an economic theory describing the relationship between collective bargaining and employment Kuznets curve , an economic theory describing the relationship between income per capita and wealth inequity
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...
In geology, catastrophism is the theory that the Earth has largely been shaped by sudden, short-lived, violent events, possibly worldwide in scope. [1] This contrasts with uniformitarianism (sometimes called gradualism ), according to which slow incremental changes, such as erosion , brought about all the Earth's geological features.