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82,265 comments

Small is Beautiful: the New Economics

They might be integrated, but I have not the expertise to pronounce on that matter.

frankbeswick, Aug 17, 2024

Small is Beautiful: the New Economics

Thank you for your comment below in answer to my previous observation and question.

Considering train transportation in terms of services and tracks intrigues me. Might the non-track components of train travel -- such as stations and waiting areas -- be integrated with those who monitor tracks or those who monitor services?

DerdriuMarriner, Aug 17, 2024

Review of the Battle of the Five Armies

Thank you for your comment below in answer to my previous observation and question.

Books and films in three parts perhaps abound more than their counterparts in two parts. Might it be because trilogy has a more attracting sound than duet?

But might it have been more compelling to the action and more faithful to the author to have had the film versions in a duet?

DerdriuMarriner, Aug 17, 2024

The Drunken Botanist: a review

Thank you for your comment below in answer to my previous observation and question.

Drone and remote technology acts sometimes as substitute for, sometimes as supplement to human-powered, old-fashioned inspections.

The latter appeals to me as people-friendly in its job opportunities even as the former associates with less danger from human contact with poisonous animals and poisonous plants.

The Florida canopy-cover project is so fascinating and so nicely done that it undoubtedly motivates other states to manage likewise.

In a somewhat related direction, because of its aerial-technology aspects, might you have come across Elon Musk's humorous comment against flying cars as another thing to drop from the skies and hit someone on the head? '-D Might that be true of drones in their down side? ;-D

DerdriuMarriner, Aug 17, 2024

Limits: Vital Building Blocks of Calculus

Thank you for your comment below in answer to my previous observation and question.

The two kinds of calculus books both interest me, what with my social-science background and what with my business and life-science experiences.

The free-books option is most interesting too and therefore much appreciated!

DerdriuMarriner, Aug 17, 2024

Gardening in Difficult Conditions

Thank you for your comment below in answer to my previous observation and question.

Online sources describe sweet potato wine as drinkable with such additional ingredients as raisins and sugar (either grandulated or light-brown). They engender reactions from most to least enthusiastic.

Is potato wine somewhat or very drinkable?

DerdriuMarriner, Aug 17, 2024

Limits: Vital Building Blocks of Calculus

If you are looking for a calculus book there are two kinds. One is calculus, the other is calculus for business and life science majors. The second is in many cases light on theory and does not reach such topics as line and surface integrals, or even finding volumes. It covers a single three hour course, and does not even have trig functions. It does a good job on covering the basics. As for cost, free is possible using an online textbook. I am familiar with OpenStax, a division of Rice University, that is a collection of free textbooks. I believe a grant might have been used to pay for the writing, but that is a guess. Colleges are going to free books. A nominal fee is charged to get the ability to print one, perhaps as low as a few dollars, and you use your paper and ink. They have free books in many areas of study, check them out.

blackspanielgallery, Aug 17, 2024

From tor to shore

Thank you for your comments below in answer to my previous observations and questions.

Your answer three comment boxes down alerts us to the Munster dialect as "the pures tGaelic of all."

Is that dialect the purest of all Gaelic or just of all Irish Gaelic?

DerdriuMarriner, Aug 17, 2024

The Linear Equation and Related Equations and Inequalities

Many do, I gave a sample.

blackspanielgallery, Aug 17, 2024

Limits: Vital Building Blocks of Calculus

Thank you for your comment below in answer to my previous observation and question.

Some self-instructees, such as myself, appreciate the non-digital, old-fashioned self-learning through appropriate books.

Is there such a thing as a one-stop calculus book (to serve not as replacement or supplement but as reinforcement and review along with your video series)?

DerdriuMarriner, Aug 17, 2024

The Linear Equation and Related Equations and Inequalities

Thank you for your comments below in answer to my previous observations and questions.

The computer crashing affected my asking the last aspect about your alerting us in that first paragraph to the next-last subheading, Other Techniques that Often Reduce or Significantly Incorporate Linear Equations, that "Many algebraic techniques quickly lead to the linear equation. Among them are systems of linear equations, factorable quadratic equations, many radical equations, many exponential equations with a common base, and even many rational equations."

Why do some rational equations, like some exponential equations and like some radical equations, not "quickly lead to the linear equation"?

DerdriuMarriner, Aug 17, 2024

Dwarfs in Fairy Tales

Thank you for your comments below in answer to my previous observations and questions.

Going through the Sleeping Beauty link at the very end of this wizzley brought me, at its end, to the last Dulac image there. The latter artist, like Crane in another link above, employs yellow quite compellingly.

The Dulac image particularly functions positively for me even as the Crane image of The yellow dwarf above subheading 7 here furnishes a rather unsettling note in the definite yellow of his clothes.

And yet the sky behind him has yellow tints rising from the ground. Is The yellow dwarf a fairy tale with a happy ending? The yellow horizon spreading its color upward perhaps offers a foreshadowing.

(Would you know whether the saying red-sky night sailors' delight, red-sky morning sailors' warning" have any such association -- negative or positive -- with yellow skies?)

DerdriuMarriner, Aug 17, 2024

Understanding Calculus: A Simplified Approach to Derivatives

That was standard, and still is, at the university I attended. Now more students take a four course sequence, 3, 3, 4, and 3 hours, splitting the same work into four parts. The university found 5 hour calculus courses were too intense for many.

blackspanielgallery, Aug 16, 2024

The Linear Equation and Related Equations and Inequalities

The exponents of like bases determine an equation. Some few in low level courses might lead to other equations.

blackspanielgallery, Aug 16, 2024

Understanding Calculus: A Simplified Approach to Derivatives

We had algebra, geometry, trig, then another algebra.

blackspanielgallery, Aug 16, 2024

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