Questions of Today, Day 10

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  • What is a multimeter?

“A multimeter measures electrical properties such as AC or DC voltage, current, and resistance.”1.Image

  • What is the difference among BINARY, HEXADECIMAL, and DECIMAL?

Binary: “Binary Numbers are just “Base 2” instead of “Base 10”. So you start counting at 0, then 1, then you run out of digits … so you start back at 0 again, but increase the number on the left by 1.”2

Hexadecimals: “They look the same as the decimal numbers up to 9, but then there are the letters (“A’,”B”,”C”,”D”,”E”,”F”) in place of the decimal numbers 10 to 15.”2

Decimal:”A Decimal Number (based on the number 10) contains a Decimal Point.”3

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  • What is the difference between inductive and deductive logic?

“A deductive argument is one in which it is impossible for the premises to be true but the conclusion false. Thus, the conclusion follows necessarily from the premises and inferences. In this way, it is supposed to be a definitive proof of the truth of the claim (conclusion), but an inductive argument is one in which the premises are supposed to support the conclusion in such a way that if the premises are true, it is improbablethat the conclusion would be false. Thus, the conclusion follows probably from the premises and inferences.”4.

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  • What did you think about Honors Academy, Exploratory Math?

I really enjoyed Exploring Math eventhough I wasn’t here the whole time. I first started on Creative Writing but I wasn’t enjoying it as much, so I asked if I could switch to Exploring Maths and I’m glad I did it, It was extremely fun. Honestly I’m going to miss it. 

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1.http://www.wisegeek.org/what-is-a-multimeter.htm

2.http://www.mathsisfun.com/binary-decimal-hexadecimal.html

3.http://www.mathsisfun.com/decimals.html

4.http://atheism.about.com/od/criticalthinking/a/deductivearg.htm

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Yesterday’s Journal, Day 9

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Yesterday we worked again with Arduinos (which I LOVE), we had to make something we wanted to show our parents.

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We also made a poster in pairs ( I was with Josefina) about something we learnt in Stanford. Our topic was Arduino.

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Later on we continued planing our city.

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Questions of today, Day 9

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What I do to solve the Traveling Sales Person’s Problem is to use Symmetrical Matrix.

  • What is a Karnaugh Map?

“The Karnaugh map, also known as the K-map, is a method to simplify boolean algebra expressions. Maurice Karnaugh introduced it in 1953 as a refinement of Edward Veitch‘s 1952 Veitch diagram. The Karnaugh map reduces the need for extensive calculations by taking advantage of humans’ pattern-recognition capability. It also permits the rapid identification and elimination of potential race conditions.”1.

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  • What are examples of things that are digital and analog?

Analog: Image

Digital : Image

  • What is the difference between digital and analog?

An Analog signal is any continuous signal for which the time varying feature (variable) of the signal is a representation of some other time varying quantity, i.e., analogous to another time varying signal. It differs from a digital signal in terms of small fluctuations in the signal which are meaningful.

“A digital signal uses discrete (discontinuous) values. By contrast, non-digital (or analog) systems use a continuous range of values to represent information. Although digital representations are discrete, the information represented can be either discrete, such as numbers or letters, or continuous, such as sounds, images, and other measurements of continuous systems.”2.

  • What does 1011101010001 in binary equal in normal numbers (we did not cover this in class)?
  • What is a game tree?

“In game theory, a game tree is a directed graph whose nodes are positions in a game and whose edges are moves. The complete game tree for a game is the game tree starting at the initial position and containing all possible moves from each position; the complete tree is the same tree as that obtained from the extensive-form game representation.”3.

  • Give an example of an Game Tree

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  • Why do computers use Game Trees?

Computers use Game Trees to know what the posible and best answers are in different circumstances.

1. http://en.wikipedia.org/wiki/Karnaugh_map

2.http://www.diffen.com/difference/Analog_vs_Digital

3.http://en.wikipedia.org/wiki/Game_tree

Questions of today, Day 8

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  • You used 2 chips yesterday, find them and link them to your post. What is the name of the 2 chips that seem most like the ones you used yesterday: http://www.skot9000.com/ttl/
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This is the first chip we used yesterday, it was a SN54/74LS08, QUAD 2-INPUT AND GATE

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This was the second chip we used. It is called SN54/74LS32, QUAD 2-INPUT OR GATE.

http://www.skot9000.com/ttl/datasheets/8.pdf

http://www.skot9000.com/ttl/datasheets/32.pdf

  • What is a truth table?

“A truth table is a breakdown of a logic function by listing all possible values the function can attain. Such a table typically contains several rows and columns, with the top row representing the logical variables and combinations, in increasing complexity leading up to the final function.”1.

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  • What is Demorgan’s Law?

“In propositional logic and boolean algebra, De Morgan’s laws are a pair of transformation rules that are both valid rules of inference. The rules allow the expression of conjunctions and disjunctions purely in terms of each other via negation.”2.

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  • What is Ohm’s Law?

“Ohm’s Law is the mathematical relationship among electric current, resistance, and voltage.”3.

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  • What is double implication?

$P \iff Q$ means that P and Q are equivalent. So the double implication is true if P and Q are both true or if P and Q are both false; otherwise, the double implication is false.

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  • What is an adjacency matrix?

“The adjacency matrix, sometimes also called the connection matrix, of a simple labeled graph is a matrix with rows and columns labeled by graph vertices, with a 1 or 0 in position (v_i,v_j) according to whether v_i and v_j are adjacent or not. For a simple graph with no self-loops, the adjacency matrix must have 0s on the diagonal. For an undirected graph, the adjacency matrix is symmetric.”5.

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1. http://whatis.techtarget.com/definition/truth-table

2.http://en.wikipedia.org/wiki/De_Morgan’s_laws

3.http://searchcio-midmarket.techtarget.com/definition/Ohms-Law

4.http://www.millersville.edu/~bikenaga/math-proof/truth-tables/truth-tables.html

5. http://mathworld.wolfram.com/AdjacencyMatrix.html

Reaserch Journal, Day 7:

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So yesterday we learned about Boolean Algebra and how computers think and work. We also continued working with Arduino, this time we had to use chips and light up TWO LED’s. This time it was harder and a lot more complicated, there where a lot of wires and we had to connect everything on the right place so we didn’t burn the chip or the LED. ImageImage

Day 6

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On monday we started with Arduino, we had to make a LED light work. It may look complicated but it’s actually very easy. We where tought about voltage, resistance, currence, ohms law, audrino and more. We worked on groups of three, I was with Daniel and Matias Chen.

 

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Questions of today (Day 6)

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7. http://en.wikipedia.org/wiki/Finite-state_machine

The start of day 6

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Today we started graph coloring, we colored South America, we had to do the same thing we made with the clay but in the computer using paint. 

 Assign colors to the states in each case. Try to find the least number of colors needed so that if two states share a border (part of a side, not just a corner), they have different colors.

 

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