GingerAle
14-oct-2018

#6**+2 **

*Can you please explain bases are.*

You will defiantly need an understanding of numeric bases to complete your assignment.

This link https://www.mathsisfun.com/base-conversion-method.html presents an overview of base conversions, giving examples using the same method I used in the outline.

Google “base conversion” for other examples and methods of conversion.

First, a rudimentary explanation of what base 10 means. There are only 10 unique numbers (0,1,2,3,4,5,6,7,8,9) –notice that zero (0) is one of these numbers. If a value greater than 9 is needed, then two digits are required. When the 9 is incremented it returns to zero (0), and the digit to its left is incremented to show this happened. It then looks like this 10. Where this “rollover” takes place is the base number. Each value to the left is 10 times greater than its position on the right.

Most of the numbers we use are in base 10 –the decimal system. A clock however is in base 60 (Sexagesimal). Note that one (1) second after a clock reads **11:59:59** the displays reads **12:00:00**. The minutes and seconds roll-over after **59**, not **99**. Most do not realize that it is base 60 because most clocks are **encoded** to display in base 10. This **encoding** is called “Decimal Encoded Sexagesimal”

Most people are so use to this that it’s not given a second thought. Considering this ease of understanding of a very large base (60), it is just a matter of extending this understanding to other (much smaller) bases.

-----------

In the program outline, the base conversion process uses * decimal encoding* and then converts that decimal to a symbol, in this case a letter, when value is greater than 9. So a “10” becomes an “A”, and an “11” becomes “B”, ect. If the display is set for

Remember that any decimal value greater than 9 requires two characters. For bases greater than base 10, additional, unique single characters are needed to represent the values. It’s standard practice to use letters of the alphabet for this purpose.

----------------

*In your example you have written "71298 (the square of 267) to base 17" What does this mean*

**The full text reads**: “Here’s an example converting 71298 (the square of 267) to base 17.”

This means the example following will demonstrate how to convert the base 10 number (71298) to base 17. This was chosen at random from the numbers you will be required to examine.

*In the question they provide a base. *

**Your assignment requires you to convert to 18 different bases. **(I’m not seeing any ambiguity in the wording for your assignment.)

**To clarify**: Your assignment is to generate squares of (base 10) numbers from 1 to 300, then **convert the squares to 18 other bases, starting with base 2 through base 20**. One such number will be 267^{2}=71298. I chose base 17 arbitrarily, as an example from one of the bases you will be converting to.

*and how did you know to divide it by 17 as the base?*

I knew to divide by 17 because to convert from one base to another requires division by that base.

*Like an example input would be 10 and the output would be: *

Your program will square 10, that is 100, then the 100 will be converted to bases 2,3,4,5, ... 17,18,19,20. Then each base conversion will be tested for a palindrome condition, if that is a true condition then the original base 10 number and its square will be printed along with the palindrome in base (b).

**For now, work on understanding what a base is and how to convert to them. This should only require a few hours of study and practice. **

GA

GingerAle11-feb-2019

#1**+2 **

*How do you take a set of numbers you want to add up and show that in Riemann Sum?*

^{[First, you may want to review the use of relative pronouns in English composition. See: www. learnmehowtowrightegudder.org]}

^{If you don’t want to do that, you should preface your questions and comments with a bold-face} ^{“Ummm...”}

**Riemann Sums** are used to find the area under a curve.

\(\LARGE \int _a^b \large f(x)dx = \lim _{n \to \infty} \LARGE \sum \limits_{i=0}^{n-1} \large f(x_{i}) \Delta x. \)

Here’s a well-explained introduction for this concept:

https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-2/a/left-and-right-riemann-sums

Here’s a much more comprehensive introduction:

https://mathinsight.org/calculating_area_under_curve_riemann_sums

This site also compares and contrasts ** Riemann Sums** to

GA

GingerAle27-ene-2019

#17**+3 **

**I suspect this rude, careless dumb-dumb intended this equation:**

\(\LARGE x^2 - ax + b = 0\\ \)

Geometric solutions for this quadratic form are found by plotting A(0, 1) and B(a, b) and using the midpoint and distance formulas for finding (y) intercepts in circles. This seems consistent with the question. Examples of these are sometimes included in pre-calculus texts.

The first use of this form comes from Thomas Carlyle (1795–1881), known more for satirical social commentary than mathematics.

GA

GingerAle20-ene-2019

#7**-1 **

**Most of this dialogue sounds like cartoon characters speaking techno babble.**

-----------------------------------

**Lancelot Link Peeled Banana Productions Presents:**

**Bleep and Blip: All in a Daze Work**

**Teleplay by GingerAle**

^{Based on original dumbness by select members and guests of Web2.0calc.com}

**Shanghai’d Technical Consultant: Alan**

**Shanghai’d Silent Technical Consultant: Rom**

**Shanghai’d Post Production Supervisor: Melody**

**Sponsored by Naus Corp: Quantum Dumbness Detection Systems **

-----------------------------------

We join the universe-saving characters in progress....

**Blip:** How did you do that? That number is bigger than my pecker...

**Bleep:** Well, it’s smaller than mine. Anyway, Blip, I used an ultra-sophisticated proprietary algorithm with ternary protocol subzero three (3) and integrand containment post zero (1) metaphase. This commutes the large number, delineating it into a unified matrix, placing the tertiary integers adjacent to each other in the first three (3) natural dimensions.

**Blip:** Does this index the residuals that exist in subspace? If not, then we will be leaving half our math in another universe. That would be bad!

**Bleep:** Ahem, yes ...I see your point. I’ll just run the numbers and algorithm through my other ultra-sophisticated computer with advanced proprietary subroutines programmed by a Martian who was educated on Zork Prime. His algorithm can actually divide by zero (0) without blowing up the universe.

**Blip:** That is impressive! It’s so cool that we can save the universe!

**Bleep:** Yes, it is. But we must keep it secret.

**Blip:** Why?

**Bleep:** Because anyone who knows anything more than the multiplication tables will make fun of us. It will distract us from our important work.

[Fade out scene while Blip nods in agreement.]

[Fade in: Shrine of Organized Stupidity and Perpetual Quantum Dumbness]

**Speaker:** Thank you for joining us for the canonization of Aaron Traywick

**Blip: **Aaron was a great leader for our scientific and mathematical theories.

**Bleep:** Yes he was. He will be greatly missed and hard to replace.

**Blip:** Maybe you could replace him.

**Bleep:** No: I would never be appointed to such a lofty position as the Great Arron. I know my times-tables too well and I’ve squared too many numbers, which is really just the same as multiplying, but it sounds better.

**Blip: **What about me? I only know the ones and five times tables.

**Bleep:** No Blip. Once you went past the fives times tables, you were effectively disqualified.

Ours is to work in obscurity and to support the great work of Arron T. and his successors. Maybe someday our contributions will be recognized beyond the elites of our vocation, but it will take awhile for the devolutionary processes to work on the majority population, so it may not be in our life time.

**Blip:** Such is the pity.

**Bleep:** Yes it is.

[Fade out scene while Blip and Bleep gaze into the future, nodding.]

GingerAle17-ene-2019