Namtranhoang1992

Nam Tran-Hoang
Trần Hoàng Nam
Pronunciation	ʈʂən hwaŋ nam
Born	(1992-09-20) September 20, 1992 Saigon, Vietnam
Other names	陳黃南, Adam Miller
Education	Ohio Wesleyan University (2012-2016; B.A. in Mathematics, Chemistry, Biology) The Scripps Research Institute (2016-2018; M.A. in Biochemistry) University of Miami (2019-2020; M.A. in Finance)
Height	5 ft 7 in (170 cm)
Website	LinkedIn MathStackExchange WolframCommunity

Hello there! Welcome to my personal userpage. I plan to use this page as a record for my wikipedia contributions, to store and keep track of my major works/source codes, and to communicate with other wikipedia editors about changes to articles.

My strengths and interests are Mathematics, Economics/Finance, Chemistry, and Biology. I mostly edit/update articles in these area.

Unless otherwise noted, I am the sole author of all the text and media files detailed on this page. You are welcomed to use any resources here - just please cite the original source.

Feel free to stop by and drop me a message, or contact me at my LinkedIn profile. I always welcome advice and suggestions to improve my works.

Options Strategy - Option strategy payoff graphs

Following Black-Scholes option pricing model, the option's payoff, delta, and gamma (option greeks) can be investigated as time progress to maturity::

• 
  Payoff, delta, and gamma of a call option
• 
  Payoff, delta, and gamma of a put option
• 
  Payoff, delta, and gamma of a collar strategy
• 
  Payoff, delta, and gamma of a bull spread
• 
  Payoff, delta, and gamma of a bear spread
• 
  Payoff, delta, and gamma of a straddle strategy
• 
  Payoff, delta, and gamma of a butterfly strategy

Magic Square - Parker's magic square

Parker's square is an attempt to create the 3x3 magic square of squares (an prized unsolved problem since Euler). Parker's Square is not a magic square: it uses some numbers more than once, and the diagonal 23²-37²-47² sums to 4107, not 3051 as for all the other rows, columns, or diagonal. Parker's Square became a "mascot for people who give it a go, but ultimately fall short". It is also a metaphor for something that is almost right, but is a little off.

292	12	472
412	372	12
232	412	292

Thành ngữ gốc Hán trong tiếng Việt

Thành ngữ tiếng Hán	Thành ngữ tiếng Việt
打草驚蛇 Đả thảo kinh xà	Đánh rắn động cỏ Rút/Bứt dây động rừng
指桑罵槐 Chỉ tang mạ hòe	Chỉ chó mắng mèo
大事化小，小事化無 Đại sự hóa tiểu, tiểu sự hóa vô	Chuyện lớn hóa nhỏ, chuyện nhỏ hóa không
行不更名坐不改姓 Hành bất canh danh, tọa bất cải tính	Đi không đổi tên, ngồi không đổi họ
借刀殺人 Tá dao sát nhân	Mượn dao giết người
滴水穿石 Tích thuỷ xuyên thạch	Nước chảy đá mòn
牛刀割雞 Ngưu đao cát kê	Dùng dao mổ trâu giết gà Lấy búa tạ đập ruồi
福無雙至，禍不單行 Phúc vô song chí, họa bất đơn hành 福不重至，禍必重來 Phúc bất trùng chí, hoạ tất trùng lai	Họa vô đơn chí, phúc bất trùng lai 禍無單至，福不重來

Circular flow of income - Five sectors model

• 
  Circular flow diagram - five sectors model

Production-possibility frontier - Efficiency

See also: Productive efficiency, Pareto efficiency, and Allocative efficiency

• 
  Example: Production-possibilities frontier for an economy with two (groups of) products, showing Pareto efficiency
• 
  Example: Production-possibilities frontier for an economy with two (groups of) products, showing Pareto and allocative efficiency

Production-Possibility Frontier delineates the maximum amount/quantities of outputs (goods/services) an economy can achieve, given fixed resources (factors of production) and fixed technological progress.

• Points that lie either on or below the production possibilities frontier/curve are possible/attainable: the quantities can be produced with currently available resources and technology.
• Points that lie above the production possibilities frontier/curve are not possible/unattainable because the quantities cannot be produced using currently available resources and technology.
• Points that lie strictly below the frontier/curve are inefficient, because the economy can produce more of at least one good without sacrificing the production of any other good, with existing resources and technology.
• Points that lie on the frontier/curve are efficient.

Specifically, at all points on the frontier, the economy achieves productive efficiency: no more output of any good can be achieved from the given inputs without sacrificing output of some good.

Some productive efficient points are Pareto efficient: impossible to find any trade that will make no consumer worse off. Pareto efficiency is achieved when the marginal rate of transformation (slope of the frontier/opportunity cost of goods) is equal to all consumers' marginal rate of substitution.

Similarly, not all Paleto efficient points on the frontier are Allocative efficient. Allocative efficient is only achieved when the economy produces at quantities that match societal preference.

Elasticity - Mathematical construct

• 
  perfect P-elasticity of Q: Q changes while P = constant
• 
  perfect P-inelasticity of Q: P changes while Q = constant
• 
  Conventional demand curve (downwards linear slope), with its elasticity
• 
  Example of demand curve with constant elasticity
• 
  Examples of supply curves, with different elasticity
• 
  Examples of a non-linear supply curve with its elasticity

Elasticity indicates responsiveness. In mathematics, x-elasticity of y measures the responsiveness/fractional change of y with respect to x, i.e. how much y changes fractionally when x changes fractionally.

x-elasticity of y: $\varepsilon ={\frac {\partial \ln {y}}{\partial \ln {x}}}={\frac {\partial y}{\partial x}}{\frac {x}{y}}$

In economics, the common elasticities are price-elasticity of quantity-demanded (elasticity of demand), price-elasticity of quantity-supplied (elasticity of supply) and price-of-a-different-good-elasticity of quantity-demanded (cross-price elasticity). They all have the same form:

P-elasticity of Q: $\varepsilon ={\frac {\partial \ln {Q}}{\partial \ln {P}}}={\frac {\partial Q}{\partial P}}{\frac {P}{Q}}$ if continuous, or $\varepsilon ={\frac {Q_{2}-Q_{1}}{P_{2}-P_{1}}}\times {\frac {P_{1}+P_{2}}{Q_{1}+Q_{2}}}={\frac {\%\ {\mbox{change in quantity Q}}}{\%\ {\mbox{change in price P}}}}$ if discrete.

$|\varepsilon |>1$	elastic	Q changes more than P
$|\varepsilon |=1$	unit elastic	Q changes like P
$|\varepsilon |<1$	inelastic	Q changes less than P

Special cases:

perfect P-elasticity of Q, $\varepsilon \rightarrow \infty$, Q changes while P = constant

perfect P-inelasticity of Q, $\varepsilon =0$, P changes while Q = constant

Elasticity are commonly used because of its connection to revenue: revenue $PQ$ attains critical value (local max/min) when $\varepsilon =-1$

${\frac {\partial (PQ)}{\partial P}}=0\Leftrightarrow \varepsilon ={\frac {\partial Q}{\partial P}}{\frac {P}{Q}}=-1\wedge Q\neq 0$

For conventional price-elasticity of quantity-demanded (downwards linear demand curve), revenue reaches global maximum when $\varepsilon =-1$ (unit elastic). Hence, to maximize profit, firms must:

increase price if price-elasticity of quantity-demanded is inelastic, until reaching unit elastic: $\varepsilon =-1$,

decrease price if price-elasticity of quantity-demanded is elastic, until reaching unit elastic: $\varepsilon =-1$

Testosterone - Diagnostics

• 
  Dimeric sex-hormone-binding-globulin with its testosterone ligands
• 
  Two methods for determining concentration of bio-available testosterone

The total concentration of testosterone can be directly measured using LC-MS/MS or similar analytical approach upon complete protein denaturation. However, the total amount of testosterone is not the amount available for usage by the body, since testosterone can be tightly bound and inhibited by sex-hormone-binding-globulin. Hence, bio-available testosterone’s concentration – the amount of testosterone after accounted for globulin binding – is deemed a better diagnostic component.

Although testosterone’s bio-available concentration can be directly measured, it is usually calculated indirectly from total concentration of testosterone, total concentration of albumin, and total concentration of sex-hormone-binding-globulin. Testosterone’s bio-available concentration is commonly determined using Vermeulen method . Recently, testosterone’s bio-available concentration can be computed more precisely using a modified Vermeulen method , which considers the dimeric form of sex-hormone-binding-globulin .

Conceptually, both Vermeulen method and modified Vermeulen method employ chemical equilibrium to derive the concentration of bio-available testosterone: in circulation testosterone has two major binding partners, albumin (weakly bound) and sex-hormone-binding-globulin (strongly bound). These methods are described in detail in the accompanying figure.

(the citation was updated by wikipedia user Boghog)

Electoral System - Overview

There are two broad groups of electoral systems: Plurality voting and Preferential voting:

• Plurality voting: each voter casts one vote, for only one candidate/option. Two common examples of plurality voting are First-pass-the-post (winner-take-all) used in U.S., U.K, Canada, and Two-round (run-off).
• Preferential voting: each voter casts one vote, for multiple candidates/options depending on preference. There are two subgroups within preferential voting: cardinal method and ordinal/ranked method. There are many examples of preferential voting: instant-runoff, Borda count, approval voting, etc.

Note: the strike-through terminologies is not matched correctly with their definitions.