The set of interactive pages with the following structure:
Example of Computations
Click the
@interact
def _(nodes=[2,3,4,5],blocks=[15,10,5]):
s1='<left style=%s>Random Graph: '%'font-size:120;'
s2='%d Blockswith %d Nodes in a Block'
pretty_print(html(s1+s2%(blocks,nodes)))
g=graphs.RandomBlockGraph(blocks,nodes)
n=blocks*(nodes-1)+1; ec={}
[g.set_edge_label(u,v,u) for (u,v,l) in g.edges()]
c=[colormaps.jet(int(255/n)*i)[:3]
for i in range(n)]
for i in range(n): ec[c[i]]=[]
for (u,v,l) in g.edges():
[ec[c[i]].append((u,v,l))
for i in range(n) if (u!=v and l==i)]
vc=dict(zip(c,[[i] for i in range(n)]))
g=g.graphplot(vertex_size=300,vertex_colors=vc,
edge_colors=ec,layout='circular')
g.show(figsize=7)
Type your own SageMath code lines below and click the
xxxxxxxxxxdef c(r,t): return abs(r*sin(t))s1='<left style=%s>'%'color:#3636ff; font-size:150%;'s2='$px=%s$<br/>$py=%s$<br/>$pz=%s$</left>'def _(n=[2..8],pp=[20,30,..,80], cm=['cool','hsv','bwr']): var('u,v,r,t') x=real_part((u+I*v)^n) y=imag_part((u+I*v)^n) uv={real_part(u):u,imag_part(u):0, real_part(v):v,imag_part(v):0} xx,yy=x.subs(uv),y.subs(uv) rt={u:r*cos(t),v:r*sin(t)} px,py=xx.subs(rt),yy.subs(rt) pz=r*cos(t) pretty_print(html(s1+s2%(px,py,pz))) p=parametric_plot3d( (px,py,pz),(r,0,1),(t,0,4*pi), plot_points=pp,color=(c,colormaps[cm])) p.show(frame=False)This code cell was evaluated automatically.
xxxxxxxxxxdef _(a=[3,4,5,6],b=[3,4,5,6]): var('x,y,z'); c=colormaps.jet(8*a*b)[:3] f=a*(cos(x)+cos(y)+cos(z))+b*cos(x)*cos(y)*cos(z) p=implicit_plot3d( f,(x,-b,b),(y,-b,b),(z,-b,b),mesh=True, plot_points=10,alpha=.5,color=c) p.show(frame=False)
xxxxxxxxxxvar('u')def cm(t): return colormaps.ocean(80*t)[:3]f=[(cos(u),0,u^2/100),(2*sin(u/2),0,u^2/100), (3*cos(u/3),0,u^2/100)]p=sum([revolution_plot3d( f[i],(u,0,6*pi),parallel_axis='z',plot_points=30, opacity=.4,mesh=True,color=cm(i+1)) for i in range(3)])p.show(frame=False)xxxxxxxxxximport pandas,pylabfp='https://raw.githubusercontent.com/'+\ 'OlgaBelitskaya/data/main/external_json/'se=pandas.read_json(fp+'h7rb-945c.json')fl=['dbn','ell_programs','language_classes', 'finalgrades','total_students', 'graduation_rate','attendance_rate', 'college_career_rate','pct_stu_safe', 'pct_stu_enough_variety','latitude', 'longitude','council_district','city']se=se[fl].dropna()f,ax=pylab.subplots(ncols=2,figsize=(11,5))for i in range(2): se[fl[i+5]]=se[fl[i+5]].astype('str')\ .str.replace('N/A','0').astype('float') se.plot(kind='scatter', x='longitude',y='latitude', s=10,c=fl[i+5], cmap=pylab.cm.jet, title=fl[i+5].replace('_',' '), ax=ax[i],alpha=.8,grid=True) ax[i].set_facecolor('slategray')pylab.show()xxxxxxxxxx%%r# samples are random, independent, # from normally distributed statistical populationa<-rnorm(16); b<-rnorm(16)print(a); print(b)print(var.test(a,b)); print(qf(.95,15,15))print(t.test(a,b,var.equal=TRUE,paired=FALSE))qt(.975,30)# the null hypothesis H0 # of equality of the means is acceptedxxxxxxxxxx%%html<style type='text/css'>.tg {border-collapse:collapse; border-spacing:0; border-color:#aabcfe;}.tg td{font-family:Arial,sans-serif; font-size:14px; padding:10px 5px; border-style:solid; border-width:1px; overflow:hidden; word-break:normal; border-color:#aabcfe; color:#669; background-color:#e8edff;}.tg th{font-family:Arial,sans-serif; font-size:14px; font-weight:normal; padding:10px 5px; border-style:solid; border-width:1px; overflow:hidden; word-break:normal; border-color:#aabcfe; color:#039; background-color:#b9c9fe;}.tg .tg-baqh{text-align:center; vertical-align:top}.tg .tg-plqh{font-size:16px; font-family:Times New Roman,Times, serif !important;; text-align:center; vertical-align:top}</style><a href='https://www.tablesgenerator.com/html_tables'>Table Generator</a><br/><br/> <table class='tg' style='undefined; table-layout:fixed; width:370px'><colgroup><col style='width:62px'><col style='width:53px'><col style='width:255px'></colgroup><tr><th class='tg-baqh'>Code</th><th class='tg-baqh'>Glyph</th><th class='tg-baqh'>Description</th></tr><tr><td class='tg-baqh'>U+25F0</td><td class='tg-baqh'>◰</td><td class='tg-plqh'>White square with upper left quadrant</td></tr><tr><td class='tg-baqh'>U+25F1</td><td class='tg-baqh'>◱</td><td class='tg-baqh'>White square with lower left quadrant</td></tr><tr><td class='tg-baqh'>U+25F2</td><td class='tg-baqh'>◲</td><td class='tg-baqh'>White square with lower right quadrant</td></tr><tr><td class='tg-baqh'>U+25F3</td><td class='tg-baqh'>◳</td><td class='tg-baqh'>White square with upper right quadrant</td></tr><tr><td class='tg-baqh'>U+25F4</td><td class='tg-baqh'>◴</td><td class='tg-baqh'>White circle with upper left quadrant</td></tr><tr><td class='tg-baqh'>U+25F5</td><td class='tg-baqh'>◵</td><td class='tg-baqh'>White circle with lower left quadrant</td></tr><tr><td class='tg-baqh'>U+25F6</td><td class='tg-baqh'>◶</td><td class='tg-baqh'>White circle with lower right quadrant</td></tr><tr><td class='tg-baqh'>U+25F7</td><td class='tg-baqh'>◷</td><td class='tg-baqh'>White circle with upper right quadrant</td></tr></table>