Replacement Sets are made easy to understand in this short math lesson. Replacement sets are explained, and then demonstrated using examples with equations, expressions and inequalities.
In Algebra we always like to find the value for x. When working with fractions it is no different. In this lesson you will find how to solve equations that involve fractions!
Do you want to become a professional copywriter, or simply improve your writing style for day-to-day communication? Lyra Communications offers you ten writing tips quoted from master writers including as Stephen King, Neil Gaiman, Margaret Atwood, George Orwell, Pierre Berton, Andrew Morton, and Al Kennedy. Learn about writing, reviewing, cutting down your draft, sharpening your prose, and knowing your audience.
Game theory needn't mix you up! In this final lesson of William Spaniel's Game Theory 101 series, learn how to solve game theory scenarios with three possible strategies. Expand the mixed strategy algorithm and apply it to games with more than two strategies. Figure out the mixed strategy Nash equilibrium for a modified version of Rock, Paper, Scissors. Solve for a player's indifference and calculate expected utilities as a function of a given mixed strategy.
Learn to apply the Prisoner’s Dilemma strategy to a more complex game using a tactic called iterative elimination of strategically dominated strategies. In this lesson, William Spaniel will teach you how to identify scenarios that can be solved using this approach, and walk you through an example problem to get you on your way. Though not all games can be solved using this approach, it’s a good one to have in your game theory tool belt!
Adding and Subtracting Fractions is the most difficult of the operations. In this lesson we go over, in a visual way, the basics of adding or subtracting fractions, then practice practice practice.
Never struggle with multiplying fractions again. In this short video Eric Buffington explains how to multiply all different kinds of fractions and get a simplified answer. Just watch the math video and you will find the quick and easy secret for multiplying fractions.
In this third lesson on addition of fractions we look at fractions in word problems. Each step is clearly explained and demonstrated and you can then solve similar questions to show that you understand how these questions work!
Everyone loves having choices in life. In this lesson you are taught two methods for solving equivalent fractions with variables and you can choose the method you like best. After you pick a method you like, you will have practice so that you can be comfortable with solving this kind of math problem.
Once a mature strand of mRNA is ready to leave the nucleus, it goes to the ribosome for translation. But what happens at the ribosome? Learn about the second phase of protein synthesis (translation) in this installment of Craig Savage’s series on RNA. Build on material covered in previous tutorials to understand the role of peptide bonds and polysomes in this simultaneously incredible and also commonplace biological process.
Learn a quick trick that will help you with dividing fractions. You will also learn about reciprocals, dividing negatives, and how to write a whole number as a fraction.
Use science to topple a whole industry from the comfort of your home! With these two simple experiments using household items (well, also pipettes and homeopathic acid), debunk myths and attain supreme know-it-all status by proving homeopathy wrong. See how nitric acid should react with copper (ie: explosively), and then compare it with homeopathic nitric acid's reaction. Also, create a homemade pH indicator from cabbage and hot water and test the homeopathic acid yourself.
When you want to compare fractions or add and subtract fractions you need something before you can proceed. You need to find a common denominator. Watch this short video and you will be on the right track to finding common denominators for any set of fractions.
Can’t remember which part is the numerator and which is the denominator? This short video will go over the fraction basics you need to succeed! In just a few minutes, you’ll improve your math skills or brush up on information you already know. From understanding how to divide numbers to learning the math vocabulary terms associated with fractions, you’ll walk away with an understanding of the parts of a whole and ready to ace a test.
In this math lesson we work with complicated fraction questions and break them down into understandable chunks. With each step you are given practice that will help you understand the process and master the fraction problems.
You know about backward induction in game theory, which assumes that all future play will be rational. But what about the opposite technique? In this lesson from William Spaniel's Game Theory 101 series, you'll be introduced to forward induction, which assumes that all past play was rational. Using a version of the Stag Hunt game, learn how Player 2 can look at payoffs and use forward induction to infer Player 1's move.
What happens if two suspects are taken in for questioning on suspicion of robbery? If everyone is looking out for their own interests, the results might surprise you! Follow along with William Spaniel as he explains this classic game theory scenario. Learn how to decide which outcomes are most likely and what it means for a person to have a ‘strategically dominant strategy’.
Continue with the rest of this series to understand how people behave in increasingly complicated scenarios.
Raise your glass to the most incredible chalice from antiquity. The Lycurgus Cup in the British Museum is truly exceptional for its exquisite beauty, delicate craftsmanship, magnificent detail, and a seemingly magical ability to transform colors before your very eyes. Discover the myth of the doomed Thracian king, Lycurgus, driven mad by Dionysus and ensnared by the wine god's creeping vines. Explore the wondrous curiosity of Roman cage cups found in collections across the world.
In this second part of his lesson on population genetics, Craig Savage explains how natural selection affects gene pools. Build on your knowledge of the Hardy-Weinberg principle to understand how violations of the principle lead to genetic changes within a population. Craig demonstrates genotype frequencies, and how bottlenecking can lead to dramatically different allele frequencies for smaller populations versus larger populations (upon whom this example of genetic drift effects little change).