GingerAle
14-oct-2018

#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