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Brief Introduction to L-Edit and S-Edit Tanner EDA Mentor Graphics






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Calculator Techniques for the Casio FX-991ES and FX-991EX Unraveled

In solving engineering problems, one may not have the luxury of time. Most situations demand immediate results. The price of falling behind schedule is costly and demeaning to one's reputation. Therefore, every bit of precaution must be taken to expedite calculations. The following introduces methods to tackle these problems speedily using a Casio calculator FX-991ES and FX-991EX.


►For algebraic problems where you need to find the exact value of a dependent or independent variable, just use the CALC or [ES] Mode 5 functions or [EX] MENU A functions.


►For definite differentiation and integration problems, simply use the d/dx and integral operators in the COMP mode.


►For models that follow the differential equation: dP/dx=kt and models that follow a geometric function(i.e. A*B^x).

[ES]
-Simply go to Mode 3 (STAT) (5)      e^x
-For geometric functions Mode 3 (STAT) 6 A*B^x
-(Why? Because the solution to the D.E. dP/dx=kt is an exponential function e^x.
When we know the boundary con…

What Ifs? Sigmoid Function vs. Error Function in Machine Learning through Logistic Regression

While brushing up on some study materials in Mathematics, a familiar function piqued my interest. It was the error function, the solution to the non-elementary integral exp(-x^2) and whose complement is used in determining the conditional probability of bit error due to noise:






Or quite simply, the probability of error due to noise.




But the real point of interest was the nature of the curve of the function shown below.



Now, why be so interested in such a function? When I compared erf(x) with the sigmoid function commonly used in defining the decision boundary in machine learning algorithms, it returned a steeper slope. Then the thought came to me. What would be the differences of using the error function instead of the sigmoid function? Would the cost improve? Would the training accuracy improve?

And so my curiosity got the better of me and I played around with both of the functions to see what would happen.

Sigmoid vs. Error
First of all, replacing the sigmoid function with the error…

What are all these Nanogenerator stuff, Anyway?

Was there a time when you were introduced to the piezoelectric effect in one of your Physics classes and wondered, “If piezoelectric crystals generate voltage when subjected to vibration, can’t we harness this voltage to power our electronics?” It was a pretty interesting afterthought. What about the voltage developed from the Seebeck effect? There are a lot of naturally occurring temperature gradients in our environment such as the thermal gradient between our body, the engines we use, even our gadgets and ambient temperature. It would feel wasteful to watch all the energy from these potential sources dissipate to the empty void. Apparently, such sources would only yield power just enough for the mobile phone of an ant. But recent developments in materials science as well as improvements in power consumption of modern electronics have aroused interest anew. Thus, in 2006 the first nanogenerator emerged drawing energy through the piezoelectric and semiconductor characteristics of a …