iterative

Examples of iterative in the following topics:

• Iterated Integrals

  • An iterated integral is the result of applying integrals to a function of more than one variable.
  • If this is done, the result is the iterated integral:
  • The alternative notation for iterated integrals $\int dy \int f(x,y)\,dx$ is also used.
  • An iterated integral can be used to find the volume of the object in the figure.
  • Use iterated integrals to integrate a function with more than one variable

• Trends in Management

  • Modern trends in management favor agile, iterative processes that focus on innovation, software development, and social impacts.
  • Each of these approaches is a management philosophy equipped for rapid construction, iteration, and implementation.
  • The agile management philosophy is an adaptation of iterative management.
  • All production of new and innovative products and services will require constant refinement and improvement through iterative experimentation.
  • The idea is the that the process itself is self-sustaining in pursuit of agreed upon objectives via an iterative cycle of production.

• Productivity Gains from Software

  • Agile software development is a group of software development methods based on iterative and incremental development, where requirements and solutions evolve through collaboration between self-organizing, cross-functional teams.
  • It promotes adaptive planning, evolutionary development and delivery, a time-boxed iterative approach, and encourages rapid and flexible response to change.
  • Each iteration involves a team working through a full software development cycle when a working product is demonstrated to stakeholders.
  • An iteration might not add enough functionality to warrant a market release, but the goal is to have an available release (with minimal bugs) at the end of each iteration.
  • Multiple iterations might be required to release a product or new features.

• Applications of Geometric Series

  • In the diagram above, the triangles added in the second iteration are exactly $\displaystyle{\frac{1}{3}}$ the size of a side of the largest triangle, and therefore they have exactly $\displaystyle{\frac{1}{9}}$ the area.
  • Similarly, each triangle added in the second iteration has $\displaystyle{\frac{1}{9}}$ the area of the triangles added in the previous iteration, and so forth.
  • The first term of this series represents the area of the first triangle, the second term the total area of the three triangles added in the second iteration, the third term the total area of the twelve triangles added in the third iteration, and so forth.
  • Each iteration adds a set of triangles to the outside of the shape.

• Allocative Efficiency

  • Free markets iterate towards higher levels of allocative efficiency, aligning the marginal cost of production with the marginal benefit for consumers.

• Continuous REGE for geodesic distances (Padgett's marriage data)

  • Figure 15.8 shows the results of applying Network>Roles & Positions>Maximal Regular>REGE to the Padgett data, using "3 iterations" (that is, three-step neighborhoods).

• Hardware and Software Improvements

  • This model combines some key aspects of the waterfall model and rapid prototyping methodologies, but provides emphasis in deliberate iterative risk analysis, particularly suited to large-scale, complex systems.
  • The spiral is visualized as a process passing through some number of iterations, with the four-quadrant diagram representative of the following activities:
  • Agile software development uses iterative development as a basis but advocates a lighter and more people-centric viewpoint than traditional approaches .

• Formation and Comparison of Adverbs

  • Adverbs derived from adjectives of the First and Second Declensions form the Positive by changing -ī of the Genitive Singular to -ē; those derived from adjectives of the Third Declension, by changing -is of the Genitive Singular to -iter; as,—
  • But Adjectives in -ns, and a few others, add -er (instead of -iter), to form the Adverb; as,—
  • A few adjectives of the First and Second Declensions form the Positive in -iter; as,—

• Summary

  • Cluster analysis groups together the two most similar actors, recalculates similarities, and iterates until all actors are combined.
  • Groupings of structurally equivalent actors can also be identified by the divisive method of iterating the correlation matrix of actors (CONCOR), and by the direct method of permutation and search for perfect zero and one blocks in the adjacency matrix (Optimization by Tabu search).

• Considering the Organizational Life Cycle

  • The Enterprise Life Cycle is the dynamic, iterative process of changing an enterprise over time by incorporating new business processes, technologies, and capabilities, as well as maintaining, using, and disposing of existing elements of the enterprise.
  • This often requires structural evolution and rapid iterations in the feedback loop of disruption, growth, refinement, and renewal.