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Author: Jack

chemistry, physical chemistry

Chemistry: Gibbs Free Energy, part0

Jack Aug 3, 2026 Tagged with gibbs energy, gibbs free energy, physcial chemistry

Tutoring university chemistry, Gibbs Free Energy can be an important concept. The tutor begins about it. The following is by my understanding. Gibbs free energy, of just Gibbs energy, is defined as G = H -TS where G=Gibbs free energy, …

Chemistry: Gibbs Free Energy, part0 Read more →

math

Math: logarithms: exponent-to-multiple rule

Jack Aug 1, 2026 Tagged with exponent to multiple rule of logarithms, logarithms, logs, mutliplication to addition rule of logarithms

Tutoring math, logarithms come up. The tutor mentions a way to see the exponent-to-multiple rule. The following is by my understanding. With logarithms – aka, logs – the log of a power can be made into a multiple of the …

Math: logarithms: exponent-to-multiple rule Read more →

math

Math: the conjugate, part 2: simplification

Jack Jul 31, 2026 Tagged with conjugate, simplifying polynomials

Tutoring math, polynomial structures arise. The tutor mentions using the conjugate. The following is by my understanding. Let’s imagine one is asked to simplify the following: (x+3)(x-1)(x-3)(x+1) If one does so in the order it’s presented, it gets a bit …

Math: the conjugate, part 2: simplification Read more →

energy

Energy: what is a breeder reactor?

Jack Jul 30, 2026 Tagged with breeder reactor, nuclear power, nuclear reactor

Self-tutoring about nuclear energy: the tutor mentions the concept of a breeder reactor. The following is by my understanding, and likely a simplification. A problem of some nuclear reactor designs is that they require specific fuel that is, in nature, …

Energy: what is a breeder reactor? Read more →

environment

Energy, environment: nuclear waste storage, part0

Jack Jul 29, 2026 Tagged with nuclear waste, politics in science, radiation

Self-tutoring about nuclear energy: the tutor begins by considering nuclear waste storage concerns. The following is by my understanding. Nuclear power became somewhat politically incorrect perhaps in the 20-teens. However, if people need nuclear power to drive their cars, it …

Energy, environment: nuclear waste storage, part0 Read more →

math

Math: the conjugate

Jack Jul 27, 2026 Tagged with binomial, conjugate, how to multiply two binomials, how to use the foil method

Tutoring math, the idea of a conjugate arises. The tutor mentions it. The following is by my understanding. In high school math, the conjugate refers to a binomial construction that, when multiplied by its own conjugate, yields no “middle terms.” …

Math: the conjugate Read more →

chemistry

Chemistry: orbital overlap

Jack Jul 26, 2026 Tagged with hybridization, overlap between d orbital and p orbital, pi bonds

Tutoring chemistry, one might be asked about the nature of bonds. The tutor mentions hybridization and overlap. The following is by my understanding. I mention in my post from July 13, 2024 the idea of some atoms having more than …

Chemistry: orbital overlap Read more →

english, home maintenance

English, home maintenance: what is a kerf?

Jack Jul 25, 2026

Self-tutoring about home maintenance terms: the tutor mentions “kerf.” The following is by my understanding. A kerf is a notch cut lengthwise along a piece of substrate. It may be intended to receive a tab to hold other material, such …

English, home maintenance: what is a kerf? Read more →

international business, politics

Politics, business: can tariffs work?

Jack Jul 24, 2026 Tagged with export, import, protectionism, trade

Self-tutoring about international trade: the tutor mentions the idea of tariff feasibility. The following is by my understanding. The general motivation behind a tariff is to keep production in-house, since the tariff makes the imported product more expensive. Then, the …

Politics, business: can tariffs work? Read more →

math

Math: complex numbers

Jack Jul 23, 2026 Tagged with complex numbers, square roots of negative numbers

Tutoring university level math, one might run into complex numbers. The tutor begins about them. The following is by my understanding. In the Real number system, there is no square root of -1. Yet, in the Complex number system, sqrt(-1) …

Math: complex numbers Read more →

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