Category Archives: Newton

The Largest Early World Map …

… is unveiled for the first time: Click image for link to map with pan and zoom: On July 25, 01585, near the end of a century of unprecedented change, four Japanese boys stopped in Milan on their way back … Continue reading

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3D Frame with zero stiffness hinges

The previous version of 3DFrame allowed for spring releases at beam ends, but if the release stiffness was entered as zero it was treated as a rigid connection for that freedom.  Effectively zero stiffness releases could be modelled by entering … Continue reading

Posted in Excel, Newton, Beam Bending, Finite Element Analysis, Frame Analysis | Tagged , , , , , | 3 Comments

Rubick’s Cube Solves Itself

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Numerical Integration; Tanh-Sinh Quadrature v. 4.42

Back to Newton and Excel. I recently received a new update to the Tanh-Sinh Quadrature spreadsheet from Graeme Dennes, which may be downloaded from: Tanh_Sinh Quadrature. From the Readme: The Tanh-Sinh quadrature workbook has been enhanced as follows: The Tanh-Sinh … Continue reading

Posted in Charts, Excel, Maths, Newton, Numerical integration, UDFs, VBA | Tagged , , , , , , , , | Leave a comment

Sydney Opera House: the designs that didn’t make it

From the Guardian: In 1956, the New South Wales premier Joseph Cahill announced a competition – open to anyone – to design a national opera house at Bennelong Point in Sydney. There were more than 200 entries and the eventual … Continue reading

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Multiple Integration with Scipy

Scipy has 3 functions for multiple numerical integration in the scipy.integrate module: dblquad: Compute a double integral. tplquad: Compute a triple integral’ nquad: Integration over multiple variables. I have written six functions to call these functions from Excel, via Pyxll: Each … Continue reading

Posted in Excel, Link to Python, Maths, Newton, Numerical integration, NumPy and SciPy, PyXLL, UDFs | Tagged , , , , , | 6 Comments

Another (very slow) way of computing pi

The previous post included 100 Python code one-liners for calculating pi that recalculates in a fraction of a second.  The video below shows an alternative approach that is a little slower: How much slower?  If you had a computer that would … Continue reading

Posted in Bach, Maths, Newton | Tagged , , | 2 Comments