Case Studies
See how our high-productivity software products and custom developed solutions are used to simplify complex calculations and streamline the processes that drive their businesses.

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Case Study: Log Scale Interpolation
Application developers frequently need to convert tables and plots into continuous functions so that users of the program are not required to manually look up values.
Case Study: Matrix Functions
TK5 includes many new functions for calculations involving matrices. Although, many of these functions were previously available through the TK Library, the performance will now be much better.
Case Study: Numerical Integration and Differentiation
A manufacturer has the capability of transforming thin, flat sheets of metal into uniformly corrugated sheets of various pre-determined thicknesses.
Case Study: Optimization1
A certain corporation is planning to produce and market three different products. Let x1, x2, and x3 denote the number of units of the three respective products to be produced. The preliminary estimates of their potential profitability are as follows.
Case Study: Optimization of Machining
This example is taken from Engineering Optimization, Methods and Applications by G.V. Reklaitis, A Ravindran, and K. M. Ragsdell, published in 1983 by John Wiley & Sons.
Case Study: Optimization of Pipeline
This example is taken from Engineering Optimization, Methods and Applications by G.V. Reklaitis, A Ravindran, and K. M. Ragsdell, published in 1983 by John Wiley & Sons.
Case Study: Optimization of Welded Beam Cost
This example is taken from Engineering Optimization, Methods and Applications by G.V. Reklaitis, A Ravindran, and K. M. Ragsdell, published in 1983 by John Wiley & Sons.
Case Study: Optimizing DIFFEQ
TK Solver includes several built-in functions for solving differential equations numerically. They are all used similarly. For this example, we use the ODE_RK4 function. This function requires three inputs.
Case Study: Optimizing Quality
A company produces rubber used for tires by combining three ingredients: rubber, oil, and carbon black. The cost of rubber is 0.04 per pound. The cost of oil is 0.01 per pound. The cost of carbon black is 0.07 per pound.
Case Study: Performance
This article presents several issues concerning minimizing solution times. For comparison purposes, our test computer was running at 450 MHz.
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