Education4 min read
Learn to Trade Stocks Beginner: A Guide to Paper Trading in the App
How the Learn to Trade Stocks Beginner simulator works: lessons, a virtual balance, practice orders, chart replay and a journal. No real money is involved.
383 articles · page 4 of 16
Education guides, page 4
Articles 73–96 of 383, newest first. The introduction to this reading list, its topic hubs and the guides other articles cite most are on the first page.
Education articles 73–96
- Education5 min read
Proving Logical Equivalence: Truth Tables vs Laws of Logic
Two ways to prove statements are logically equivalent: compare truth tables, or rewrite one into the other with named laws. Worked proofs and when to use each.
- Education4 min read
MACD Explained: Lines, Signal and Histogram From Their Moving Averages
MACD subtracts a 26-day EMA from a 12-day EMA and adds a signal line and histogram. How each part is built, how crossovers work and why they often whipsaw.
- Education5 min read
The Magna Carta: What It Said in 1215 and Why It Lasted
Magna Carta was a failed 1215 peace deal between King John and rebel barons. What its clauses covered, why it was reissued, and which three still stand.
- Education3 min read
What Is a Margin Call? Maintenance Requirements and Forced Sales, Explained
A margin call is a demand for more cash or securities when your account equity falls too low. How to calculate one, what brokers can do, and the risks.
- Education3 min read
Market Capitalization: Large-, Mid- and Small-Cap Explained
Market cap is share price times shares outstanding. How to calculate it, the usual size bands from mega-cap to micro-cap, and what size does not tell you.
- Education4 min read
Market Circuit Breakers and Limit Up–Limit Down, Explained
US markets halt when the S&P 500 falls 7%, 13% or 20% in a day, and single stocks pause under Limit Up–Limit Down. How each level and price band works.
- Education4 min read
Market Order vs Limit Order: Price Certainty or Fill Certainty
A market order fills but its price is not guaranteed; a limit order caps the price but may not fill. How each works, worked examples, and the trade-off.
- Education4 min read
Minimum Spanning Trees: Kruskal's and Prim's Algorithms by Hand
How to connect every vertex of a weighted graph at least total cost. Kruskal's and Prim's algorithms worked step by step, and the cut property behind both.
- Education4 min read
Modular Arithmetic: Clock Maths, Congruences and the Rules That Make It Work
Modular arithmetic works with remainders. What a ≡ b (mod n) means, which operations are safe, how to reduce big powers, and where it is used in computing.
- Education5 min read
Modular Inverses with the Extended Euclidean Algorithm
Find the inverse of a modulo n with the extended Euclidean algorithm, see when none exists, use the prime shortcut, and solve ax ≡ b (mod n).
- Education4 min read
The Monty Hall Problem: Why Switching Wins Two Times in Three
Three doors, one car, and a host who opens a goat door. Why switching wins with probability 2/3, shown by listing cases, by Bayes' theorem and with 100 doors.
- Education3 min read
Moving Averages Explained: Simple vs Exponential, and Their Built-In Lag
How simple and exponential moving averages are calculated, worked step by step, why every moving average lags, and what crossovers do and do not mean.
- Education4 min read
Napoleon’s Rise and Fall: A Timeline
Napoleon from Corsica to St Helena: Toulon, the Brumaire coup, the 1804 empire, Austerlitz, Russia in 1812, Elba, the Hundred Days and Waterloo, dated.
- Education5 min read
How to Negate a Statement with Quantifiers (Without Changing the Order of the Quantifiers)
To negate a quantified statement, flip each quantifier and negate what follows. Step-by-step negations of nested statements, including limits and conditionals.
- Education5 min read
The Norman Conquest of 1066: Hastings and What Followed
Three claimants, two invasions and three battles in 1066, then six years of revolt and the Domesday survey. The Norman Conquest of England, in sequence.
- Education4 min read
Number Bases: Converting Between Binary, Decimal and Hexadecimal
How place value works in any base, how to convert decimal to binary by repeated division, why hexadecimal groups four bits, and the mistakes to avoid.
- Education5 min read
Partial Orders and Hasse Diagrams: How to Draw One and What It Shows
A partial order is reflexive, antisymmetric and transitive. How to draw its Hasse diagram, read maximal and least elements, and find upper and lower bounds.
- Education3 min read
The Pattern Day Trader Rule: What It Is and What Changed
FINRA replaced the pattern day trader rule and its $25,000 minimum with intraday margin standards in June 2026. What the old rule required and what applies now.
- Education4 min read
The P/E Ratio: How It Is Calculated and Why It Is Not a Bargain Detector
The price-to-earnings ratio divides a share price by earnings per share. How to calculate trailing and forward P/E, compare it fairly, and read its limits.
- Education4 min read
Permutations vs Combinations: The One Question That Decides Which to Use
Ask whether order matters. Formulas for permutations and combinations, why they differ by k!, worked examples, and the four-way table for repetition.
- Education4 min read
The Pigeonhole Principle: Simple Statement, Surprising Proofs
If more than n items go into n boxes, some box holds two. The general version, how to choose the boxes, and seven worked examples from socks to compression.
- Education5 min read
Planar Graphs and Euler's Formula V − E + F = 2
Which graphs can be drawn without crossing edges, why V − E + F = 2 for every connected planar graph, and how it proves K₅ and K₃,₃ are not planar.
- Education4 min read
Power Sets: Why a Set with n Elements Has 2ⁿ Subsets
The power set of a set is the set of all its subsets. How to list one without missing any, three proofs that it has 2ⁿ elements, and the traps with ∅ and {∅}.