17 Math Equations that Changed the World

How many do you know?

via Ian Stewart

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[Click image to enlarge]

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Editor’s Note:

I have a bit of math background in algebra, geometry and trigonometry as well as integral and differential calculus, and parametric and non-parametric statistics.  So, this ME-P was a no-brainer. Enjoy with thanks to Ian.

So, how many equations do you know? Please tell us?

Dr. David E. Marcinko MBA MEd CMP

Conclusion

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COMMODITIES UTILITY: Gold v. Silver

By Staff Reporters

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Commodities trading means you’re buying and selling raw materials rather than finished products (like a house) or financial assets (like stocks and bonds). Commodities are assets like corn, coffee, lumber and ore. One common form of commodities trading is investing in precious metals, namely gold and silver. As an investment asset, gold and silver have very different properties and uses in a portfolio.

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Gold vs. Silver: Utility

The biggest thing that differentiates precious metal investing from other commodity investing is utility. For most other commodities, investors judge value based on supply and consumer demand. If you want to invest in coffee beans, for example, you can judge prices by how much coffee people are currently drinking, how tastes are changing, etc.

Precious metals are different in that they have relatively low commercial utility. Compared with other metals, here are relatively few consumer or industrial uses for assets like gold and silver.

However, silver does have much more industrial and commercial use than gold. Approximately half of all silver bought and sold on the market is used commercially, with applications ranging from dentistry to electronics. (This is still quite small compared to other metals, which are almost entirely used for production.)

By contrast, gold has very few commercial applications aside from jewelry. This gives investors a basis on which to judge and predict price movements for silver, since you can make decisions based on factors such as industry need and how the global economy is moving.

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DAILY UPDATE: Amazon Pharmacy, Healthcare Spending Boom, Companies and the Bi-Hybrid Markets

MEDICAL EXECUTIVE-POST TODAY’S NEWSLETTER BRIEFING

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Amazon Pharmacy announced on June 18 that, effective immediately, its RxPass medication delivery service will be available to more than 50 million Medicare beneficiaries, a move the company says could save up to $2 billion annually for the federal health insurance program.

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Here’s where the major benchmarks ended:

  • The S&P 500 index fell 8.55 points (0.2%) to 5,464.62, up 0.6% for the week; the Dow Jones Industrial Average® ($DJI) gained 15.57 points (0.04%) to 39,150.33, up 1.5% for the week; the NASDAQ Composite® ($COMP) shed 32.23 points (0.2%) to 17,689.36, little changed for the week.
  • The 10-year Treasury note yield (TNX) was little changed at 4.255%.
  • The CBOE Volatility Index® (VIX) dipped 0.06 to 13.22.

What’s up

  • Sarepta Therapeutics soared 30.14% thanks to FDA approval of Elevidys, its new Duchenne muscular dystrophy treatment.
  • Zealand Pharma rose 18.62% after Phase 1b trial results revealed its new weight-loss drug could compete with Ozempic.
  • Asana jumped 14.95% on the news that its board has approved a share repurchase program of up to $150 million of its own stock.
  • CarMax shares rose 0.37% after the company reported first-quarter earnings. The number isn’t big, but the performance is impressive considering the used car company posted a 33% decline in profits.
  • Hertz Global popped 15.95% after the company announced it was raising the size of its bond offering to $1 billion as it looks to update its fleet of rental cars.

What’s down

  • Nvidia fell another 3.22% today as the sell off continued, with investors taking profits after a record run higher.
  • Smith & Wesson Brands dropped 12.87% after the gun maker beat earnings forecasts but announced that next quarter’s sales will be lower than expected.
  • LendingTree slid 2.48% after a Bloomberg report revealed that hackers are auctioning off stolen customer data.
  • Palantir fell 6.78% after the company earned an analyst downgrade for its “gluttonous valuation,” a phrase you never want to hear as an investor.
  • Bitcoin mining stocks took a hit today, selling off after popping higher yesterday after bitcoin prices rallied. Marathon Digital Holdings dropped 7.02%, Riot Platforms fell 8.35%, and CleanSpark sank 9.81%.

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With a record number of people insured and seeking healthcare services post-pandemic, US health spend growth is outpacing GDP growth, and is expected to keep doing so through 2032, according to a June 12 report from actuaries at the Centers for Medicare and Medicaid Services (CMS). By 2032, CMS actuaries project healthcare spending will total $7.7 trillion and make up 19.7% of total US GDP, compared to $4.8 trillion and 17.6% of GDP in 2023.

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MEDICAL ETHICS: Managing Risk is a Component of Real Health Caring

Demanding High Moral Standards of Self … and Economic HEALTHCARE Organizations

Dr. David Edward Marcinko MBA MEd CMP®

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It has been argued that physicians have abdicated the “moral high ground” in health care by their interest in seeking protection for their high incomes, their highly publicized self-referral arrangements, and their historical opposition toward reform efforts that jeopardized their clinical autonomy. 

Experts Speak

In his book Medicine at the Crossroads, colleague and Emory University professor Melvin Konnor, MD noted that “throughout its history, organized medicine has represented, first and foremost, the pecuniary interests of doctors.” He lays significant blame for the present problems in health care at the doorstep of both insurers and doctors, stating that “the system’s ills are pervasive and all its participants are responsible.” 

In order to reclaim their once esteemed moral position, physicians must actively reaffirm their commitment to the highest standards of the medical profession and call on other participants in the health care delivery system also to elevate their values and standards to the highest level.

Evolution

In the evolutionary shifts in models for care, physicians have been asked to embrace business values of efficiency and cost effectiveness, sometimes at the expense of their professional judgment and personal values.  While some of these changes have been inevitable as our society sought to rein in out-of-control costs, it is not unreasonable for physicians to call on payers, regulators and other parties to the health care delivery system to raise their ethical bar. 

Harvard University physician-ethicist Linda Emmanuel noted that “health professionals are now accountable to business values (such as efficiency and cost effectiveness), so business persons should be accountable to professional values including kindness and compassion.” 

Within the framework of ethical principles, John La Puma, M.D., wrote in Managed Care Ethics, that “business’s ethical obligations are integrity and honesty.  Medicine’s are those plus altruism, beneficence, non-maleficence, respect, and fairness.”

Incumbent in these activities is the expectation that the forces that control our health care delivery system, the payers, the regulators, and the providers will reach out to the larger community, working to eliminate the inequities that have left so many Americans with limited access to even basic health care. 

Charles Dougherty clarified this obligation in Back to Reform, when he noted that “behind the daunting social reality stands a simple moral value that motivates the entire enterprise”. 

ASSESSMENT

Health care is indeed grounded in caring. And, managing risk is a component of caring. It arises from a sympathetic response to the suffering of others.

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ECONOMICS: What is the “Golden Rule” Savings Rate?

And … the Solow capital motion growth model?

[By staff reporters]

In economics, the Golden Rule savings rate is the rate of savings which maximizes steady state level or growth of consumption, as for example in the Solow growth model.

Although the concept can be found earlier in John von Neumann and Maurice Allais‘s works, the term is generally attributed to Edmund Phelps who wrote in 1961 that the golden rule “do unto others as you would have them do unto you” could be applied inter-generationally inside the model to arrive at some form of “optimum“, or put simply “do unto future generations as we hope previous generations did unto us.”

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The Solow growth model

In the Solow growth model, a steady state savings rate of 100% implies that all income is going to investment capital for future production, implying a steady state consumption level of zero. A savings rate of 0% implies that no new investment capital is being created, so that the capital stock depreciates without replacement. This makes a steady state unsustainable except at zero output, which again implies a consumption level of zero.

Somewhere in between is the “Golden Rule” level of savings, where the savings propensity is such that per-capita consumption is at its maximum possible constant value.

Assessment

Put another way, the golden-rule capital stock relates to the highest level of permanent consumption which can be sustained.

Conclusion

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