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 Aug 2024

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Chapter 1 is a comprehensive review of math fundamentals including algebra,equation solving, and functions. The exposition of each topic is brief to make foreasy reading
Chapter 1 is the foundation upon which everything else will be built

 Aug 2023

math.stackexchange.com math.stackexchange.com

so a formula is like a dead equation?

 Feb 2023


Axiom (Dynamics). There is a distinguished quantum observable, the Hamiltonian H. Time evolution of states ψ(t)〉 ∈ H is given by the Schr ̈odingerequationi~ ddt ψ(t)〉 = Hψ(t)〉 (1.1)

 Sep 2022

chem.libretexts.org chem.libretexts.org

components
high temperature  you have 1/ infinity
e ^0 is 1

mathematically
AE = ^ea/rt R 8.314 mol/k

where R has units of 8.314J/molK
This is a constant of and its units used in the Arrhenius theory.

 Jun 2021

www.graphpad.com www.graphpad.com

algebra creates a useful equation
This equation is correct, I checked manually

 Mar 2021

math.stackexchange.com math.stackexchange.com

I'd say an equation is anything with an equals sign in it; a formula is an equation of the form A= stuffA= stuffA={\rm\ stuff} where AAA does not appear among the stuff on the right side.

I think that over time the distinction is lost. My math teacher, 35 years ago stated "formulas are used in chemistry, in math we have equations". To this day, the word 'formula' in math seems wrong, but I'd accept it's used commonly.

An equation is meant to be solved, that is, there are some unknowns. A formula is meant to be evaluated, that is, you replace all variables in it with values and get the value of the formula.

The key idea is that the equation captures not just the ingredients of the formula, but also the relationship between the different ingredients.

 Jun 2020

chem.libretexts.org chem.libretexts.org

C7H16(l)+O2(g)→CO2(g)+H2O(g)(3.1.4)(3.1.4)C7H16(l)+O2(g)→CO2(g)+H2O(g) C_7H_{16} (l) + O_2 (g) \rightarrow CO_2 (g) + H_2O (g) \label{3.1.3} The complete combustion of any hydrocarbon with sufficient oxygen always yields carbon dioxide and water. Figure 3.1.23.1.2\PageIndex{2}: An Example of a Combustion Reaction. The wax in a candle is a highmolecularmass hydrocarbon, which produces gaseous carbon dioxide and water vapor in a combustion reaction (see Equation 3.1.43.1.4\ref{3.1.3}). Equation 3.1.43.1.4\ref{3.1.3} is not balanced: the numbers of each type of atom on the reactant side of the equation (7 carbon atoms, 16 hydrogen atoms, and 2 oxygen atoms) is not the same as the numbers of each type of atom on the product side (1 carbon atom, 2 hydrogen atoms, and 3 oxygen atoms). Consequently, the coefficients of the reactants and products must be adjusted to give the same numbers of atoms of each type on both sides of the equation. Because the identities of the reactants and products are fixed, the equation cannot be balanced by changing the subscripts of the reactants or the products. To do so would change the chemical identity of the species being described, as illustrated in Figure 3.1.33.1.3\PageIndex{3}. Figure 3.1.33.1.3\PageIndex{3}: Balancing Equations. You cannot change subscripts in a chemical formula to balance a chemical equation; you can change only the coefficients. Changing subscripts changes the ratios of atoms in the molecule and the resulting chemical properties. For example, water (H2O) and hydrogen peroxide (H2O2) are chemically distinct substances. H2O2 decomposes to H2O and O2 gas when it comes in contact with the metal platinum, whereas no such reaction occurs between water and platinum. The simplest and most generally useful method for balancing chemical equations is “inspection,” better known as trial and error. The following is an efficient approach to balancing a chemical equation using this method.

 May 2020

psyarxiv.com psyarxiv.com

McElroy, E., Patalay, P., Moltrecht, B., Shevlin, M., Shum, A., Creswell, C., & Waite, P. (2020, May 8). Demographic and health factors associated with pandemic anxiety in the context of COVID19. https://doi.org/10.31234/osf.io/2eksd

 Jun 2018


This, of course, leaves us none the wiser as to how to model velocity, as the equation of exchange is nothing more than an identity. MV=PQ just says that the money flow of expenditures is equal to the market value of what those expenditures buy, which is true by definition. The left and right sides are two ways of saying the same thing; it’s a form of doubleentry accounting where each transaction is simultaneously recorded on both sides of the equation. Whether an effect should be recorded in M, V, P, or Q is, ultimately, arbitrary. To transform the identity into a tool with predictive potency, we need to make a series of assumptions about each of the variables. For example, monetarists assume M is determined exogenously, V is constant, and Q is independent of M and use the equation to demonstrate how increases in the money supply increase P (i.e. cause inflation).

The first practical problem with velocity is that it’s frequently employed as a catchall to make the two sides of the equation of exchange balance. It often simply captures the error in our estimation of the other variables in the model.

 Apr 2017

waitbutwhy.com waitbutwhy.com

Two people can have one conversation. Three people have four unique conversation groups (three different twoperson conversations and a fourth conversation between all three as a group). Five people have 26. Twenty people have 1,048,554.
what's the equation for that?

 Jul 2016

thesocialwrite.com thesocialwrite.com

SelfAcceptance + Self Assurance = Confidence

 Nov 2013

caseyboyle.net caseyboyle.net

cases which are never equal and thus altogether unequal. Every concept arises from the equation of unequal things.
Concepts can only be constructed in rhetoric in their relationship to other concepts, as when "this" thing is not "that" thing. Says more of what a thing is "not" than what a thing "is".
