• ← N
• → Rationalize

Piecewise

SymPy, WMA

Piecewise[{{expr1, cond1}, ...}]

represents a piecewise function.

Piecewise[{{expr1, cond1}, ...}, expr]

represents a piecewise function with default expr.

Heaviside function

• • Piecewise[{{0, x <= 0}}, 1]

• • Integrate[Piecewise[{{1, x <= 0}, {-1, x > 0}}], x]

• • Integrate[Piecewise[{{1, x <= 0}, {-1, x > 0}}], {x, -1, 2}]

Piecewise defaults to 0 if no other case is matching.

• • Piecewise[{{1, False}}]

• • Plot[Piecewise[{{Log[x], x > 0}, {x*-0.5, x < 0}}], {x, -1, 1}]

• • Piecewise[{{0 ^ 0, False}}, -1]