Not_Dead

 That bulging vein on his right temple has always been there.

As someone who suffers from spider veins myself, I can vouch that these

always stay...

                                                                                   

Solving

 HAPPY HALLOWEEN!                                                                                                                      

  Easier problem:

Asked Chatgpt/Bing to solve it 'cold'.

                                                                  

https://www.mathcha.io/

                                                                   *     *     *

Bard's solution:

There are two ways to solve the quadratic equation 9x^2 + 6x + 1 = 0:

Method 1: Factoring

We can factor the quadratic as follows:

9x^2 + 6x + 1 = (3x + 1)^2

Setting each factor equal to zero, we get:

3x + 1 = 0

Solving for x, we get:

x = -1/3

Therefore, the solution to the quadratic equation is x = -1/3.

Method 2: Using the Quadratic Formula

The quadratic formula can be used to solve any quadratic equation, regardless of whether it can be factored. The quadratic formula is:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 9, b = 6, and c = 1. Substituting these values into the quadratic formula, we get:

x = (-6 ± √(6² - 4 * 9 * 1)) / 2 * 9

Simplifying, we get:

x = (-6 ± √0) / 18

Since the square root of zero is zero, we can simplify further to get:

x = (-6 ± 0) / 18

Therefore, the solution to the quadratic equation is x = -1/3.

Both methods give us the same solution.

                                                            *     *     *

Bard code that works for generating true quadratics:

                                                                                        

*     *     *

Tricky

 Mouaaa ha! ha! A bit of a math moment for you, my readers...

There is a problem to solve at the end; Good Luck!

                                                                   

                                                                             

                                                                                  

                                                                                  

                                                                              

                                                                                

                                                                             

                                                 source: BBC bitesize

                                                                           

9x^2 + 6x + 1 = 0

And that is the problem to solve 😱

I'll be showing the solution tomorrow ...

Calc

 All that playing around with math functions has made me better appreciate

my Windows calculator, in particular the 2nd functions.

Scientific calculator on opening:

                                                             

Here, log refers to the usual base 10 log. Asked fot log(25), put the term in memory with 

memory store MS. Then, entered 10 to the power of memory recall, MR.

*     *     *

Asked for 2nd functions:

                                                                                 

Asked for log(8) on log base 2. No problem!!

*     *     *

Also cracked that 'exp' key. Basically, it opens a parenthesis for working

with large numbers. So the 3, exp, 4 gives one 30,000. The full sequencing

below:

https://www.open.edu/openlearn/science-maths-technology/it-device-device-communication/content-section-2.5#:~:text=Click%20the%20Exp%20button%20which,are%20working%20in%20scientific%20notation.

                                                             *     *     *

Numpy 4

                                                                            

Numpy3

 Worked through Numpy3 from the code. Ended up consulting Chtgpt

quite a bit; need to go back to the actual YouTube videos for the explanations...

                                                            

                                                                  *     *     *

                                                                             

                                                                         *     *     *

*     *     *

Sat through the tuto. Here is a list of all the universal functions available

on numpy:

Universal functions (ufunc) — NumPy v1.26 Manual

Numpy2

 I had to look stuff up. We are using the concept of 'slicing' here,

so that we are working from indices.

                                                                    

*     *     *

Numpy1

 Did a quick run through the first of 9 tutos on Numpy for Machine 

Learning. It covered largely familiar territory, but subsequent ones will have

unknown functions...

                                                               

*     *     *

`