tag:blogger.com,1999:blog-60826803829080999922024-03-13T01:18:56.547-07:00My Awesome Math BlogCayce Mark-Stewarthttp://www.blogger.com/profile/17901239988235826862noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-6082680382908099992.post-43602534362930982332012-04-25T08:22:00.001-07:002012-04-25T13:45:39.908-07:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjp4bubEr-ZRFJck50do_1c_3_DGAjLR9wZkCoklEorKcuvCWLGPUMxrBPoKu1QIHFSlKke7PeiI5OxkQpvoP2WuMfxdCaAmHj330pi8noBjbx7QqnOagewoc4QuTDQrbe75iCm8ZybJMk/s1600/MarioMushroom.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjp4bubEr-ZRFJck50do_1c_3_DGAjLR9wZkCoklEorKcuvCWLGPUMxrBPoKu1QIHFSlKke7PeiI5OxkQpvoP2WuMfxdCaAmHj330pi8noBjbx7QqnOagewoc4QuTDQrbe75iCm8ZybJMk/s320/MarioMushroom.bmp" width="310" /></a></div>
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Here is mine drawing I made on the geogebra.</div>Cayce Mark-Stewarthttp://www.blogger.com/profile/17901239988235826862noreply@blogger.com2tag:blogger.com,1999:blog-6082680382908099992.post-71020455958822339112012-01-26T07:47:00.000-08:002012-01-26T07:47:38.415-08:00Graphing a Heart.I found a equation that can make a heart shape on the graph. But it doesn't work on GeoGebra. -_-<br />
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Here is the Equation: (x<sup>2</sup> y<sup>2</sup>-1)<sup>3</sup>-x<sup>2</sup>y<sup>3</sup>=0<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhf-_qyuDQE41vq-1srbPmyUxX_4FLL_ISyuePbhOUwsd_7gWs3kpdQFcG2co7u1M2nqtpyde3BxH8RDV30sAbNvo4reqw6Id4458JGWbEU9EY20O5-wWmKGW3_nESoYV8adZh-Wqfp2Mw/s1600/heart.jpg" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" gda="true" height="244px" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhf-_qyuDQE41vq-1srbPmyUxX_4FLL_ISyuePbhOUwsd_7gWs3kpdQFcG2co7u1M2nqtpyde3BxH8RDV30sAbNvo4reqw6Id4458JGWbEU9EY20O5-wWmKGW3_nESoYV8adZh-Wqfp2Mw/s320/heart.jpg" width="320px" /></a></div>Cayce Mark-Stewarthttp://www.blogger.com/profile/17901239988235826862noreply@blogger.com2tag:blogger.com,1999:blog-6082680382908099992.post-59060295769191101412012-01-22T20:26:00.000-08:002012-01-22T20:26:57.664-08:00The Math in Binary CodesSo, if you didn't already know binary code is a code consist of the two digits 1 and 0. Binary code are described as a switch of off and on. Binary code is mainly used in computers, since its easy for computers to use number instead of letters. There are many ways to convert binary code to letter/ symbols, but I'll only focus on binary codes that are consist of 8 digits. I'll show how to convert binary code by yourself using math on the 8 digits code and the alt codes or the <span class="Apple-style-span" style="color: #232323; font-family: sans-serif; font-size: 14px; line-height: 19px;">ASCII chart (basically the same thing), I think.</span><br />
<span class="Apple-style-span" style="color: #232323; font-family: sans-serif; font-size: 14px; line-height: 19px;"><br />
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<span class="Apple-style-span" style="color: #232323; font-family: sans-serif;"><span class="Apple-style-span" style="font-size: 14px; line-height: 19px;">For example, I'll use this code "</span></span><span class="Apple-style-span" style="font-family: Tahoma, Verdana, Arial; font-size: x-small;">01100001" which is for the letter "a".</span><br />
<span class="Apple-style-span" style="font-family: Tahoma, Verdana, Arial; font-size: x-small;"><br />
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<span class="Apple-style-span" style="font-family: Tahoma, Verdana, Arial; font-size: x-small;"><span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 25px;">First, you have to know that each digit of a binary number is based on 2 to the power of x.</span></span><br />
<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 14px; line-height: 25px;"><br />
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<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 14px; line-height: 25px;"> 0 1 1 0 0 0 0 1</span></span><br />
<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 14px; line-height: 25px;">so start from the right to the left it would be 128 64 32 16 8 4 2 1</span></span><br />
<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 14px; line-height: 25px;">you get this by </span></span><br />
<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 25px;">2 to the power of 0 = 1 (2^0)<br />
2 to the power of 1 = 2 (2^1)<br />
2 to the power of 2 = 4 (2^2) or (2*2)<br />
2 to the power of 3 = 8 (2^3) or (2*2*2)<br />
2 to the power of 4 = 16 (2^4) or (etc.)<br />
2 to the power of 5 = 32 (2^5)<br />
2 to the power of 6 = 64 (2^6)<br />
2 to the power of 7 = 128 (2^7)</span><br />
<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 25px;"><br />
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<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 25px;">for every place that 1 you add the number that represent 1.</span><br />
<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 25px;">for this example the one is at are at 64, 32, and 1.</span><br />
<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 25px;"><br />
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<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 25px;">which means you do this: 64+32+1=97</span><br />
<span class="Apple-style-span" style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 25px;">and this is where the alt codes/ ASCCII chart comes in. Holding alt and hit the number code 97 the letter will be "a" (note this may be different depending on the keyboard you have). And if you have the ASCCII chart with you, the number 97 is still the letter "a".</span>Cayce Mark-Stewarthttp://www.blogger.com/profile/17901239988235826862noreply@blogger.com6