Minimum (Noun)
Meaning 1
The smallest possible quantity.
Classification
Nouns denoting quantities and units of measure.
Examples
- The minimum amount of water required to start the engine is 5 liters.
- The company sets a minimum of 10 orders per day for free delivery.
- To qualify for the scholarship, students must have a minimum GPA of 3.5.
- The minimum number of players required to start the game is 4.
- The minimum temperature for the experiment to work is -20 degrees Celsius.
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Meaning 2
The point on a curve where the tangent changes from negative on the left to positive on the right.
Classification
Nouns denoting spatial position.
Examples
- The minimum point on the curve represents the lowest value of the function within the given interval.
- To find the minimum, we need to take the derivative of the function and set it equal to zero.
- The minimum occurs when the slope of the tangent line changes from negative to positive.
- The function has a minimum at x = 2, where the curve changes from concave down to concave up.
- The minimum point on the graph is also known as the local minimum, as it is the lowest point within a specific region.