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This is a clear and accurate description, but your explanation of the underlying reasons isn't really as clear.

>1. students go into new lucrative thing

Part of the Baumol effect is that the share of total employment in the sectors with high productivity growth decreases, while that of low productivity sector increases. This is sort of the opposite of what you are saying.

>2. supply of doctors goes down

The Baumol effect by itself has no effect on the number of Doctors. There are always more qualified people who want to be Doctors than are allowed to be Doctors for a great number of reasons. It isn't because not enough people want to be Doctors.

3, 4, 5

Yes those look like the Baumol effect.

6, 7

Not really what the Baumol effect is talking about.

Baumol illustrated his point in a simple manner. In the 1700's a string quartet required four musicians, and today a string quartet still requires four musicians (no productivity gain). However, those musicians today expect 21st-century salaries to match the rest of the economy, making the cost of hiring a quartet vastly more expensive relative to goods like mass-produced items.

The wikipedia entry looks pretty well done:

>...Eight independent evaluators with special expertise in the management of meningitis compared MYCIN's choice of antimicrobials with the choices of nine human prescribers for ten test cases of meningitis. MYCIN received an acceptability rating of 65% by the evaluators; the corresponding ratings for acceptability of the regimen prescribed by the five faculty specialists ranged from 42.5% to 62.5%. The system never failed to cover a treatable pathogen while demonstrating efficiency in minimizing the number of antimicrobials prescribed.

The USA has about the most progressive taxes of all the OECD countries. In the United States high earners pay high taxes and pay a heavy share of the federal tax burden, while lower- and middle-income households pay comparatively little in direct federal income tax and there is no national consumption tax. In other OECD countries the high earners pay high taxes, but the poor and middle classes also pay high taxes including a 15%–25% national sales taxes (VAT). The US would have no problem affording that education if its tax policy was similar to all the other OECD countries, but that is not a choice voters have made.

They were not planning on using those planes for dog-fighting. They planned to use everything they could for kamikaze attacks.

>...why are the 100-200k that died by the end of 1945 from the bombings enough when similar amounts wouldn't have been spread among military targets the US could more precisely hit?

The atomic bomb was the only reason Hirohito gave in his surrender speech to the Japanese people. There also was this:

>...Later in a private letter to the Crown Prince he did not expect to be made public, the emperor stressed Japan’s deficiency in “science”—a euphemism that encompassed atomic weapons—and an underestimation of the United States and Great Britain. He did not mention Soviet entry into the war.

There is very little evidence of this. Truman's own writings at time (or later) never mention this idea.

This idea that Truman decided to drop the bomb to impress the Soviets was popularized later. It even has an analysis in the Reddit BadHistory subreddit:

A full blockade would have led to many more deaths due to famine, etc.

The last major battle before the dropping of the atomic bombs was the battle for Okinawa and it was the bloodiest and fiercest battle fought against the Japanese. Absolutely no one who knew about that battle would have claimed that Japan was already defeated.

>...When the guns fell silent, more than 240,000 people had lost their lives in the campaign for Okinawa. The American loss rate was 35 percent of the force, totaling 49,151 casualties.

>...So close to the home islands, most Japanese soldiers refused to surrender and fought to the death. Their fanaticism contributed to a dreadful toll. Some 110,000 Japanese and conscripted Okinawan defenders were killed in action.

This is not true. While there were peace feelers put out by the civilian members of the Big 6, the military hardliners blocked each of them. (Most accounts also state that part of their conditions would be to be given the islands in the South Pacific that the allies had just conquered.)

Even AFTER an atomic bomb had been dropped, the military had unacceptable demands:

>...Three members held out for three additional terms: Army Minister General Korechika Anami and the Chiefs of Staff of the Army, General Yoshijiro Umezu, and Navy, Admiral Soemu Toyoda. These additional terms included: 1) Japan would disarm her own forces; 2) Japan would conduct any “so-called” war crimes trials of her own nationals; and 3) there would be no occupation of Japan. This last term would assure the continuance of the Imperial system and Hirohito’s seat on the throne. These positions would be referred to as the “one condition” and the “four condition” Japanese peace terms. Under the Japanese governing system, however, the Big Six could only act when unanimous. With a three to three split, they were deadlocked.

It was at this point that Hirohito intervened:

>...At the end of the theatrical demonstration of the deadlock, the emperor spoke. He stated he had given serious consideration to the situation at home and aboard. He then announced his support of the “one condition” offer. He and Japan must “bear the unbearable.” The Big Six and later the full cabinet made Hirohito’s decision official government policy. The American and Allied reply accepted the Japanese surrender offer, except that it stated clearly that the emperor would be subordinate to the occupation commander. This produced another dispute as to whether Japan could accept these terms. The emperor intervened again to announce he was satisfied with the American cable.

That depends on what crop you are talking about and the reasons have more nuance than you are implying. In terms of corn, the USA averages almost 50% higher productivity per acre (174 to 120 bushels).