 Articles
354 results

Springs in Series and Parallel
Consider two springs with different spring constants and. Part 1: Determine the equivalent spring constant when the two springs are connected in series. 
TCM Arithmetic 1: Decimal System and Counting Rods
By: Tao Steven Zheng (郑涛) The Chinese adopted a decimal (baseten) numeral system as early as the fourteenth century BC, during the Shang dynasty (c.1600 – 1046 BC). This is evidenced by the 
Ideological Subversion Interview
A transcription of the 1984 interview between G. Edward Griffin and exKGB agent Yuri Bezmenov. Transcribed and edited by Tao Steven Zheng (郑涛) 
Ancient Chinese Mathematics (1600 BC  600 AD)
By: Tao Steven Zheng (郑涛) This historical overview on the mathematics of ancient China includes the major developments of mathematical thought in ancient China from the Shang dynasty (1600 – 1046 BC) to the Northern 
20 Equations That Built Our World
By: Tao Steven Zheng (郑涛) Discovered: c. 1800 BCE (Babylonians and Egyptians) 
TCM Arithmetic 2: Arithmetic of Fractions
By: Tao Steven Zheng (郑涛) In the Chinese language, fractions are expressed in words using the characters 分之 (fen zhi, literally "parts of") between the denominator (分母 fen mu) and the numerator 
TCM Arithmetic 3: Rates and Unit Conversions
By: Tao Steven Zheng (郑涛) The concept of rate (率 lü) was highly important in ancient Chinese mathematics. We will later discover that the notion of rates is vital in explaining the reasoning behind 
Math & Physics Problems Wikia
Welcome! This wiki is an archive of neat math, physics, chemistry, and computer programming problems that are great for high school and university students. My goal is to spread the art and culture of mathematical 
Zhang Heng (張衡)
By: Tao Steven Zheng (郑涛) Born: 78 AD in Nanyang 
Brahmagupta (ब्रह्मगुप्त)
By: Tao Steven Zheng (郑涛) Born: c. 598 AD in Billamala 
The Venturimeter
Consider an ideal fluid of density flowing through a horizontal pipe of variable crosssectional area. The fluid at the portion of the pipe with crosssectional area is moving at and has a measured 
Uneven UTube
Mercury is poured into an uneven ushaped tube. The crosssectional area of the left column is, while the crosssectional area of the right column is. Then 300 grams of water is poured 
Empirical Formula
A blue powdered substance is found to be made of 25.3% copper, 12.9% sulfur, 25.7% oxygen, and 36.1% water. Determine the empirical formula of this substance. Consider only 100 grams of 
Electric Field of a Charged Disk
Find the electric ﬁeld a distance along the axis from a disc of radius and uniform charge density. Hint: a disk can be thought of as a bunch of concentric rings. Begin by ﬁnding the 
1D Random Walks with Python
By: Tao Steven Zheng (郑涛) 1 import numpy as np 2 import matplotlib.pyplot as plt 3 4 def Randwalk(n): 5 6 x= 0 7 y= 0 8 9 time= [x] 10 position 
Classification of Matter
Consider the flowchart of the classification of matter on the right. For each category of the classification of matter, provide a definition and two examples. For starters complete the table below. Answers will vary of 
Volume of the Paraboloid
Use integration to derive the volume of a paraboloid of radius and height. Compare the volume of the paraboloid to the volume of the cylinder with equal base and height. Consider half a parabola where 
Graphing Tangent Lines with Python
By: Tao Steven Zheng (郑涛) 1 import matplotlib.pyplot as plt 2 import numpy as np 3 4'''Part 1: Calculating Derivatives on Python''' 5 6 h= 0.000000001#stepsize 7 return (f 
Stopped Pipe and Open Pipe
This problem investigates stopped pipes and open pipes. Stop pipes are closed on one end and open on the other end. Open pipes are open on both ends. For the following problem, assume that the 
SigFigs
Perform each calculation and express the answers in scientific notation with the correct number of significant figures (sigfigs). Part 1 
Molar Conversions
Part 1 Calculate the mass of 0.550 moles of NaOH. How many NaOH molecules are there? 
Interval Set Notation
Consider two intervals on the real number line: which means 
Linearizing Power Functions
Part 1: Use logarithms to transform the power function into the linear function 
Cyclic Integration by Parts
Evaluate. Let 
Timeline of Mathematics
This timeline of mathematics is divided here into three stages, corresponding to stages in the development of mathematical notation: (1) The rhetorical stage, in which calculations are described purely by words
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