Problem statement. There’s this game called linear nim where 2 players who have 10 marks and so they have to figure out a strategy. Then who ever crosses out the last mark wins. You can also play it with 15 marks. But you have to figure what to do while playing this game and try to find patterns or strategies to win.

Process. So what I did to attempt the problem is that I played the game a few times with my partner with the 10 marks and 15. So we can find some patterns and strategies that we can discuss. Then some strategies that we came up with were that we had to think ahead of our partner and see what next move will they make or see the amount of marks are left over.

Solution. So while playing the game my partner had won every game. I could see she had a great strategy and we had took turns like if she went first then I would go first the next round. Then I saw that if we played 10 marks I had crossed out 2 she would cross out 3 then 5 were left over so I couldn’t cross out 4 or 5 only 1,2 or 3 . So I cross out 2 and she would cross out the rest. But when we played 15 I could see that if there were 5 left and I have crossed out 1 she could cross out the other 4.

Extension. Mary and Louie are playing the same game but there are 20 marks so they can only mark out even numbers and the last person to cross out the last even number wins.

Self Assessment. My strongest points were that you could think ahead . Also seeing what marks were left over. My weakest points were trying to find a strategy of beatin my partner. My grade should be an A+ because I worked really hard.

...CLAS 133A, Greek Art
December 6, 2006
Ancient Crete: The Double-Axe and Minoan Linear A
MFA object # 58.1009
Votive Double Axe
Late Minoan I A, about 1550-1500 B.C.E
From the Arkalochori Cave on Crete
Gold
When Heinrich Schliemann with his literal belief in Homer discovered Hissarlik (his Troy) and Mycenae, he opened up a whole new idea in classical archaeology- that of myths being reality. Before his discoveries, the earliest recorded date in Greek history...

...Nim was a chimpanzee who was born in the early 1970’s. He was bred for an experiment where he would live with a human family and try to learn sign language. The purpose of the study was to prove if language is inherent only in humans or if animals could somehow comprehend. Nim was raised in a human-like setting and taught sign language as if he were a human child.
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Learning Objectives:
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2. Solve equations that lead to linear equations
3. Solve applied problems involving linear equations
Examples:
1. [pic]
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...Patterns within systems of Linear Equations
HL Type 1 Maths Coursework
Maryam Allana
12 Brook
The aim of my report is to discover and examine the patterns found within the constants of the linear equations supplied. After acquiring the patterns I will solve the equations and graph the solutions to establish my analysis. Said analysis will further be reiterated through the creation of numerous similar systems, with certain patterns, which will aid in...

...RESEARCH PAPER ON
LINEAR PROGRAMMING
Vikas Vasam
ID: 100-11-5919
Faculty: Prof. Dr Goran Trajkovski
CMP 561: Algorithm Analysis
VIRGINIA INTERNATIONAL UNIVERSITY
Introduction:
One of the section of mathematical programming is linear programming.
Methods and linear programming models are widely used in the optimization of processes in all sectors of the economy: the...

...LINEAR PROGRAMMING
INTRODUCTION:
The term ‛programming′ means planning and it refers to a particular plan of action amongst several alternatives for maximizing profit or minimizing cost etc. Programming problems deal with determining optimal allocation of limited resources to meet the given objectives, such as cost, maximum profit, highest margin or least time, when resources have alternative uses.
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...Linear-Regression Analysis
Introduction
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