The paper proves the Riemann Hypothesis.

The SAS Universal Viewer displays null values appropriately as blanks for XPT files. However, when you select Table ? Save As and save an XPT file as either an XML or CSV file, the SAS Universal Viewer con

Is there a better approach to varying the coefficients of a digital IIR over time to adjust the values of its poles and zeros than just recalculating the whole thing every time it changes? For example, lots of synth programs can apply an LFO to the cutoff frequency of a low/high pass filter. I can do some polynomial multiplication to get the coefficients for an IIR filter given its poles and zeros, but am wondering if there is a better way to adjust them over time than simply doing all the calculations over again for new poles/zeros. Particularly, I'm curious if there is a method that will more or less work for an arbitrary number of poles and zeros. You could use a filter implementation (state space) that directly uses the pole/zero values instead of a polynomial walmartone. That might be computationally more expensive, though (as you are taking a trip through the domain of complex numbers even though your inputs and output are real), and possibly numerically iffy.As far as I am aware, modifying filter behavior while introducing as few artefacts as possible is still an area of research. You might get away with just adjusting the filter coefficients if you do it slowly, but this does not mean this is the best method.In an audio application, I assume they do not switch filter coefficients abruptly, but instead do a cross-fade between the (settled) first filter and the (mostly or completely settled) target filter to avoid audible artefacts.

Iran's parliament has voted to slash four zeros from the national currency, the rial, to fight hyperinflation caused by crippling U.S. sanctions and the coronavirus pandemic. Lawmakers also decided on May 4 that the rial, which has been Iran's national currency since 1925, will be replaced by the toman, which will be equal to 10,000 rials, according to the IRNA and ISNA news agencies.

Rial to be changed to the toman after five decades of inflation