integrality Sentence Examples

  1. The concept of integrality is crucial in calculus, representing the whole of a function over an interval.
  2. The sum of the integrals of two functions is equal to the integral of their sum, demonstrating the integrality of the summation process.
  3. The integral of a constant function is the constant multiplied by the interval of integration, maintaining the integrality of the constant.
  4. The integrality of functions is preserved under certain transformations, such as differentiation and integration by substitution.
  5. The integral of a bounded function over an unbounded interval may not exist, violating the integrality of the function.
  6. The indefinite integral provides a general function from its derivative, preserving the integrality of the original function.
  7. The integral of a nonnegative function over an interval represents the area under the function's graph, demonstrating the geometric interpretation of integrality.
  8. The integrality of a function over an interval implies its continuity on the interval, ensuring the existence of a definite integral.
  9. The Riemann integral and the Lebesgue integral are fundamental tools in mathematics, providing different approaches to defining integrality.
  10. The concept of integrality is widely applied in various fields, including physics, engineering, and economics, due to its ability to represent the accumulation of quantities over time or space.

integrality Meaning

Wordnet

integrality (n)

the state of being total and complete

Webster

integrality (n.)

Entireness.

FAQs About the word integrality

the state of being total and completeEntireness.

inherent,intrinsic, essential, inner, distinctive, inbred, hardwired, constitutive, constitutional, inherited

extrinsic, foreign, surface, extraneous, foreign, alien, adventitious, extraneous, incidental, adventitious

The concept of integrality is crucial in calculus, representing the whole of a function over an interval.

The sum of the integrals of two functions is equal to the integral of their sum, demonstrating the integrality of the summation process.

The integral of a constant function is the constant multiplied by the interval of integration, maintaining the integrality of the constant.

The integrality of functions is preserved under certain transformations, such as differentiation and integration by substitution.