class3 - PHYS 5900 Class 3 (8/31/2011) ü 2.1.4 Mathematica...

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Unformatted text preview: PHYS 5900 Class 3 (8/31/2011) ü 2.1.4 Mathematica Functions include Sqrt[x] Exp[x] Log[x] Log[b,x] Ç Sin[x] Cos[x] Tan[x] Cot[x] Sec[x] Csc[x] ArcSin[x] ArcCos[x] ArcTan[x] ArcCot[x] ArcSec[x] ArcCsc[x] Sinh[x] Cosh[x] Tanh[x] Coth[x] Sech[x] Csch[x] ArcSinh[x] ArcCosh[x] ArcTanh[x] ArcCoth[x] ArcSech[x] ArcCsch[x] Factorial[x] x! Round[x] Floor[x] Ceiling[x] Rationalize[x] Sign[x] Abs[x] In[1]:= Sin[30*Degree] Out[1]= 1 2 In[2]:= Exp[1.5] Out[2]= 4.48169 In[3]:= E^1.5 Out[3]= 4.48169 ü Cases: Built-in Mathematica objects all start with Capital letters; To avoid confusion, user-created variables should start with lowercase letters. In[4]:= Sqrt[2.0] Out[4]= 1.41421 In[5]:= sqrt[2.0] Out[5]= sqrt @ 2. D ü Brackets: In[6]:= (2+3)*2 Out[6]= 10 In[7]:= Sqrt[2.0] Out[7]= 1.41421 In[8]:= myList={1,4,3} Out[8]= 8 1, 4, 3 < In[9]:= myList[[2]] Out[9]= 4 In[10]:= (* Ignore these comments *) ü Refer to Previous Results In[11]:= t = 3 + 4 Out[11]= 7 In[12]:= t + 2 Out[12]= 9 In[13]:= %^2 Out[13]= 81 In[14]:= %%^2 Out[14]= 81 In[15]:= %42^2 Out[15]= % 42 2 To remove variable values, use In[16]:= Clear[t] or In[17]:= t = . In[18]:= t+2 Out[18]= 2 + t In[19]:= ? t Global`t 2 class3.nb In[20]:= Clear @ "Global` * " D ü Standard Computations: for example, to calculate I 1.1 ¥ 10- 23 M I 6.8 ¥ 10- 2 M 1.4 ¥ 10- 24 In[21]:= Sqrt[(1.1*10^(-23))*(6.8*10^(-2))/(1.4*10^(-24))] Out[21]= 0.730949 In[22]:= NumberForm @ % , 2 D Out[22]//NumberForm= 0.73 In[23]:= ScientificForm @ %% D Out[23]//ScientificForm= 7.30949 μ 10- 1 In[24]:= ScientificForm @ %%% , 3 D Out[24]//ScientificForm= 7.31 μ 10- 1 ü 2.1.8 Exact vs Approximate Values: In[25]:= ? Precision Precision @ x D gives the effective number of digits of precision in the number x . à In[26]:= Precision @ 5 D Out[26]= ¶ In[27]:= Precision @ 345 ê 678 D Out[27]= ¶ In[28]:= Precision...
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This note was uploaded on 01/21/2012 for the course PHYS 6720 taught by Professor Hu during the Spring '10 term at East Carolina University .

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class3 - PHYS 5900 Class 3 (8/31/2011) ü 2.1.4 Mathematica...

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