Welcome to Kathleen O.'s Math Analysis Blog!

Welcome to Kathleen O.'s Math Analysis Blog!
Hello lovelies and welcome to the math center where the real adventure in the math world begins. Come along for the ride.

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Saturday, November 30, 2013

Fibonacci Beauty Ratio

My most beautiful friend was Sandibel at a 1.616cm (1.618 is the Golden Ratio). She was the closest one to the Golden Ratio. Everyone else was not that far off though. The Golden Ratio is used to determine how beautiful you are. This could have occurred because of many things. She might really be my most beautiful friend or it could have been helped a little by the shoes she was wearing or quick measurements by me. Many things could have gone wrong, but according to what was measured in class Sandibel is my most beautiful friend, but that does not mean that everyone else is ugly. The other measurements simply did not measure up to Fibonacci. They were off by parts of a centimeter; they were all extremely close.
I do not believe that this is a valid measurement. Many things can go wrong when you are measuring someone. The measurements could be imprecise or changed due to what you are wearing. Different people measure differently. I simply cannot trust this ratio. I do not believe that I measure the best or the most precise. The Golden Ratio may or may not be true, but in this test run I do not believe that it is completely accurate or valid (sorry you guys). It is very interesting though.

 
 
Vanessa
Foot to Naval: 97 cm
Naval to Top Head: 68 cm
Ratio: 97cm/68cm= 1.426 cm
(1.426cm+ 2.15cm+ 1.178cm)/3=
 
1.585 cm
Navel to Chin: 43 cm
Chin to Top Head: 20 cm
Ratio: 43cm/20cm= 2.15 cm
Knee to Naval: 53 cm
Foot to Knee: 45 cm
Ratio: 53cm/45cm= 1.178 cm


 
Ana
Foot to Naval: 106 cm
Naval to Top Head: 64 cm
Ratio: 106cm/64cm= 1.656 cm
(1.656cm+ 2.095cm+ 1.057cm)/3=
1.596 cm
Navel to Chin: 44 cm
Chin to Top Head: 21 cm
Ratio: 44cm/21cm= 2.095 cm
Knee to Naval: 56 cm
Foot to Knee:53 cm
Ratio: 56cm/53cm= 1.057 cm

 

 
Gisella
Foot to Naval: 103 cm
Naval to Top Head: 62 cm
Ratio: 103cm/62cm= 1.661 cm
(1.661cm+ 2.25cm+ 1.14cm)/3=
1.684 cm
Navel to Chin: 45 cm
Chin to Top Head: 20 cm
Ratio: 45cm/20cm= 2.25 cm
Knee to Naval: 57 cm
Foot to Knee: 50 cm
Ratio: 57cm/50cm= 1.14 cm
 

 
Jorge
Foot to Naval: 112 cm
Naval to Top Head: 73 cm
Ratio: 112cm/73cm= 1.534 cm
(1.534cm+ 2.273cm+ 1.16cm)/3=
1.656 cm
Navel to Chin: 50 cm
Chin to Top Head: 22 cm
Ratio: 50cm/22cm= 2.273 cm
Knee to Naval: 58 cm
Foot to Knee: 50 cm
Ratio: 58cm/50cm= 1.16 cm
 

 
Sandibel
Foot to Naval: 89 cm
Naval to Top Head: 60 cm
Ratio: 89cm/60cm= 1.483 cm
(1.483 cm+ 2.25cm+ 1.116cm)/3=
1.616 cm
Navel to Chin: 45 cm
Chin to Top Head: 20 cm
Ratio: 45cm/20cm= 2.25 cm
Knee to Naval: 48 cm
Foot to Knee: 43 cm
Ratio: 48cm/43cm= 1.116 cm

Fibonacci Haiku: The Mexican Potato

"The Mexican Potato"
 
Vanessa
 
Lame
 
My Sister
 
Tad Bit Crazy
 
A Lame Yet Cute Potato
 
She Is My Mexican Who Loves Wearing Sombreros
 
 
 

http://cookiedudes.files.wordpress.com/2013/05/15122101-illustration-of-a-potato-mascot-wearing-a-mexican-hat.jpg

 
 
 

Monday, November 18, 2013

SP#5: Unit J Concept 6: Partial Decomposition (repetitive)


This problem is all about repetitive partial decomposition. That means that in the denominator there is polynomial that is to the power greater than one. That means that you have to count up that many times and have that many of the polynomials in your break down. It involves a lot of steps and patience.
Be careful for this problem has a lot of twists and turns. There are a lot of steps that involve multiplying and dividing so that means that you cannot forget any of the negatives or positive that come from that. Make sure to combine right and count up properly. Do not miss any steps at all. Be careful of what is going on and follow through completely. Be sure you back substitute and eliminate properly. Good luck.

Thursday, November 14, 2013

SP #4: Unit J Concept 5: Partial Fraction decomposition with distinct factors

This is all about how you compose and decompose a fraction when the terms are all individual and different, when there are no repetitions. It is something that you will need to know when you take calculus next year (the fun stuff). It is not too hard to understand, just be careful.

In this problem type there are a lot of areas where you can make a mistake so keep your eyes peeled. The first is make sure you do not drop or add any negatives. The second is you have to be careful when you are distributing your numbers and foiling that you make no mistakes. Decomposing can get tricky so make sure to take your time so that you do not mess anything up. Make sure you combine the right terms at the right times and type the coefficients into your calculator correctly. Have fun and be safe.

 
 

Monday, November 11, 2013

SV#5: Unit J Concepts 3-4: Matrices



This video will be going over one of the Dr. Prescription problems in the SSS Packet for these two concepts. It is going to be either consistent independent, inconsistent, or consistent dependent. It is simple to do, just follow the steps that you know and everything will be fine and dandy. Get ready for one great ride.

While watching this video and working it out, make sure to keep an eye out for any of the clues to lead you to what the answer to this matrix will be. If it is a consistent independent then it will have all three rows follow row echelon form. If it is inconsistent then there will be two rows where the variable will have two answers or there will be three zeros for the terms and an answer after which creates a false statement. Then if it pure zeros across the board then it is going to be a consistent dependent. This means that you will have to plug in an arbitrary value and solve. Thank you for watching and be careful.