Bevezet\303\251s a matematik\303\241ba J\303\241rai Antal Ezek a programok csak szeml\303\251ltet\303\251sre szolg\303\241lnak.
<Text-field style="Heading 1" layout="Heading 1">1. Halmazok</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">2. Term\303\251szetes sz\303\241mok</Font></Text-field> restart;
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">2.1. Peano-axi\303\263m\303\241k</Font></Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.1.1.Peano-axi\303\263m\303\241k.</Font></Text-field> inc:=x->x+1;0;inc(%);inc(%);inc(%);inc(%);dec:=x->x-1;4;dec(%);dec(%);dec(%); Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCZGJCIiIkYqRipGJUYlRiU= IiIh IiIi IiIj IiIk IiIl Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCZGJCIiIkYqISIiRiVGJUYl IiIl IiIk IiIj IiIi LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">*2.1.2. Megjegyz\303\251s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">*2.1.3. Megjegyz\303\251s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.1.4. Rekurzi\303\263t\303\251tel.</Font></Text-field> n:=16;twopower:=1;for i to n do twopower:=twopower*2; od; IiM7 IiIi IiIj IiIl IiIp IiM7 IiNL IiNr IiRHIg== IiRjIw== IiQ3Jg== IiVDNQ== IiVbPw== IiUnNCU= IiUjPik= IiYlUTs= IiZvRiQ= IiZPYic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.1.5. A term\303\251szetes sz\303\241mok egy\303\251rtelm\305\261s\303\251ge.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.1.6. A term\303\251szetes sz\303\241mok l\303\251tez\303\251se.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.1.7. Karakterisztikus f\303\274ggv\303\251nyek.</Font></Text-field> X:={a,b,c,d,e}; Y:={a,c,e}; chi:=x-> if x in Y then 1 elif x in X then 0 else FAIL fi; chi(a); chi(b); chi(1); PCdJImFHNiJJImJHRiRJImNHRiRJImVHRiRJImRHRiQ= PCVJImFHNiJJImNHRiRJImVHRiQ= Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlQCctSSNpbkclKnByb3RlY3RlZEc2JEYkSSJZR0YlIiIiLUYrNiRGJEkiWEdGJSIiIUklRkFJTEdGLEYlRiVGJQ== IiIi IiIh SSVGQUlMRyUqcHJvdGVjdGVkRw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.1.8. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.9. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.1.10. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.1.11. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.1.12. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.1.13. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.14. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.1.15. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.16. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.17. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.18. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.1.19. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.20. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.21. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.22. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.23. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.24. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.25. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.26. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.27. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.28. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*2.1.29. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.30. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.31. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*2.1.32. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*2.1.33. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*2.1.34. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.1.35. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.1.36. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.1.37. Tov<Font encoding="UTF-8">\303\241</Font>bbi feladatok.</Text-field>
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">2.2. M\305\261veletek term\303\251szetes sz\303\241mokkal</Font></Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.2.1. Term\303\251szetes sz\303\241mok \303\266sszead\303\241sa.</Font></Text-field> sm:=n->if n=0 then m else inc(sm(dec(n))) fi; m:=3;sm(6);sm(10);m:=5;sm(6);sm(10); Zio2I0kibkc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlQCUvRiQiIiFJIm1HRiUtSSRpbmNHRiU2Iy1JI3NtR0YlNiMtSSRkZWNHRiVGI0YlRiVGJQ== IiIk IiIq IiM4 IiIm IiM2 IiM6 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.2.2. T\303\251tel.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.2.3. Term\303\251szetes sz\303\241mok szorz\303\241sa.</Font></Text-field> pm:=n->if n=0 then 0 else pm(dec(n))+m fi; m:=3;pm(6);pm(10);m:=5;pm(6);pm(10); Zio2I0kibkc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlQCUvRiQiIiFGKywmLUkjcG1HRiU2Iy1JJGRlY0dGJUYjIiIiSSJtR0YlRjJGJUYlRiU= IiIk IiM9 IiNJ IiIm IiNJ IiNd LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.2.4. T\303\251tel.</Font></Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.2.5. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.2.6. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.2.7. F<Font encoding="UTF-8">\303\251</Font>lcsoport, csoport, kommutativit<Font encoding="UTF-8">\303\241</Font>s.</Text-field> isgrupoid:=proc(G::set,f::procedure) local x,y; for x in G do for y in G do if not f(x,y) in G then return false fi; od; od; true; end; Zio2JCdJIkdHNiJJJHNldEclKnByb3RlY3RlZEcnSSJmR0YmSSpwcm9jZWR1cmVHRig2JEkieEdGJkkieUdGJkYmRiZDJD8mRi1GJUkldHJ1ZUdGKD8mRi5GJUYxQCQ0LUkjaW5HRig2JC1GKkYsRiVPSSZmYWxzZUdGKEYxRiZGJkYm rightneutrals:=proc(G::set,f::procedure) local x,y,s,S; if not isgrupoid(G,f) then return false fi; S:={}; for x in G do s:=true; for y in G do if f(y,x)<>y then s:=false; break fi; od; if s then S:=S union {x} fi; od; S end; G:={a,b,c};rightneutrals(G,(x,y)->x); Zio2JCdJIkdHNiJJJHNldEclKnByb3RlY3RlZEcnSSJmR0YmSSpwcm9jZWR1cmVHRig2JkkieEdGJkkieUdGJkkic0dGJkkiU0dGJkYmRiZDJkAkNC1JKmlzZ3J1cG9pZEdGJjYkRiVGKk9JJmZhbHNlR0YoPkYwPCI/JkYtRiVJJXRydWVHRihDJT5GL0Y8PyZGLkYlRjxAJDAtRio2JEYuRi1GLkMkPkYvRjhbQCRGLz5GMC1JJnVuaW9uR0YoNiRGMDwjRi1GMEYmRiZGJg== PCVJImFHNiJJImJHRiRJImNHRiQ= PCVJImFHNiJJImJHRiRJImNHRiQ= leftneutrals:=proc(G::set,f::procedure) local x,y,s,S; if not isgrupoid(G,f) then return false fi; S:={}; for x in G do s:=true; for y in G do if f(x,y)<>y then s:=false; break fi; od; if s then S:=S union {x} fi; od; S end; G:={a,b,c};leftneutrals(G,(x,y)->y);rightneutrals(G,(x,y)->y); Zio2JCdJIkdHNiJJJHNldEclKnByb3RlY3RlZEcnSSJmR0YmSSpwcm9jZWR1cmVHRig2JkkieEdGJkkieUdGJkkic0dGJkkiU0dGJkYmRiZDJkAkNC1JKmlzZ3J1cG9pZEdGJjYkRiVGKk9JJmZhbHNlR0YoPkYwPCI/JkYtRiVJJXRydWVHRihDJT5GL0Y8PyZGLkYlRjxAJDAtRio2JEYtRi5GLkMkPkYvRjhbQCRGLz5GMC1JJnVuaW9uR0YoNiRGMDwjRi1GMEYmRiZGJg== PCVJImFHNiJJImJHRiRJImNHRiQ= PCVJImFHNiJJImJHRiRJImNHRiQ= PCI= neutral:=proc(G::set,f::procedure) local x,y,s,S; if not isgrupoid(G,f) then return NULL fi; for x in G do s:=true; for y in G do if f(x,y)<>y or f(y,x)<>y then s:=false; break fi; od; if s then return x fi; od; NULL end; G:={a,b,c};neutral(G,(x,y)->y);neutral(G,(x,y)->y); neutral({0,1,2},(x,y)->irem(x+y,3)); Zio2JCdJIkdHNiJJJHNldEclKnByb3RlY3RlZEcnSSJmR0YmSSpwcm9jZWR1cmVHRig2JkkieEdGJkkieUdGJkkic0dGJkkiU0dGJkYmRiZDJUAkNC1JKmlzZ3J1cG9pZEdGJjYkRiVGKk9JJU5VTExHRig/JkYtRiVJJXRydWVHRihDJT5GL0Y6PyZGLkYlRjpAJDUwLUYqNiRGLUYuRi4wLUYqNiRGLkYtRi5DJD5GL0kmZmFsc2VHRihbQCRGL09GLUY4RiZGJkYm PCVJImFHNiJJImJHRiRJImNHRiQ= IiIh issemigroup:=proc(G::set,f::procedure) local x,y,z; if not isgrupoid(G,f) then return false fi; for x in G do for y in G do for z in G do if f(x,f(y,z))<>f(f(x,y),z) then return false fi; od; od; od; true end; issemigroup({a,b,c},(x,y)->x); issemigroup({true,false},(x,y)-> x implies y); Zio2JCdJIkdHNiJJJHNldEclKnByb3RlY3RlZEcnSSJmR0YmSSpwcm9jZWR1cmVHRig2JUkieEdGJkkieUdGJkkiekdGJkYmRiZDJUAkNC1JKmlzZ3J1cG9pZEdGJjYkRiVGKk9JJmZhbHNlR0YoPyZGLUYlSSV0cnVlR0YoPyZGLkYlRjk/JkYvRiVGOUAkMC1GKjYkRi0tRio2JEYuRi8tRio2JC1GKjYkRi1GLkYvRjZGOUYmRiZGJg== SSV0cnVlRyUqcHJvdGVjdGVkRw== SSZmYWxzZUclKnByb3RlY3RlZEc= isgroup:=proc(G::set,f::procedure) local x,y,n,i; if not isgrupoid(G,f) then return false fi; if not issemigroup(G,f) then return false fi; n:=neutral(G,f); if n=NULL then return false fi; for x in G do i:=false; for y in G do if f(x,y)=n and f(y,x)=n then i:=true; break fi; od; if i=false then return false fi; od; true; end; isgroup({0,1,2},(x,y)->irem(x+y,3)); Zio2JCdJIkdHNiJJJHNldEclKnByb3RlY3RlZEcnSSJmR0YmSSpwcm9jZWR1cmVHRig2JkkieEdGJkkieUdGJkkibkdGJkkiaUdGJkYmRiZDKEAkNC1JKmlzZ3J1cG9pZEdGJjYkRiVGKk9JJmZhbHNlR0YoQCQ0LUksaXNzZW1pZ3JvdXBHRiZGNkY3PkYvLUkobmV1dHJhbEdGJkY2QCQvRi9JJU5VTExHRihGNz8mRi1GJUkldHJ1ZUdGKEMlPkYwRjg/JkYuRiVGREAkMy8tRio2JEYtRi5GLy8tRio2JEYuRi1GL0MkPkYwRkRbQCQvRjBGOEY3RkRGJkYmRiY= SSV0cnVlRyUqcHJvdGVjdGVkRw== iscommutative:=proc(G::set,f::procedure) local x,y; if not isgrupoid(G,f) then return false fi; for x in G do for y in G do if f(x,y)<>f(y,x) then return false fi; od; od; true; end; iscommutative({0,1,2},(x,y)->irem(x+y,3)); Zio2JCdJIkdHNiJJJHNldEclKnByb3RlY3RlZEcnSSJmR0YmSSpwcm9jZWR1cmVHRig2JEkieEdGJkkieUdGJkYmRiZDJUAkNC1JKmlzZ3J1cG9pZEdGJjYkRiVGKk9JJmZhbHNlR0YoPyZGLUYlSSV0cnVlR0YoPyZGLkYlRjhAJDAtRipGLC1GKjYkRi5GLUY1RjhGJkYmRiY= SSV0cnVlRyUqcHJvdGVjdGVkRw== isabeliangroup:=proc(G::set,f::procedure) isgroup(G,f) and iscommutative(G,f) end; iscommutative({0,1,2},(x,y)->irem(x+y,3)); Zio2JCdJIkdHNiJJJHNldEclKnByb3RlY3RlZEcnSSJmR0YmSSpwcm9jZWR1cmVHRihGJkYmRiYzLUkoaXNncm91cEdGJjYkRiVGKi1JLmlzY29tbXV0YXRpdmVHRiZGL0YmRiZGJg== SSV0cnVlRyUqcHJvdGVjdGVkRw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.2.8. Megjegyz\303\251s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.2.9. P\303\251ld\303\241k.</Font></Text-field> X:={a,b,c}; with(combinat,powerset); P:=powerset(X); isgroup(P,(x,y)->symmdiff(x,y)); PCVJImFHNiJJImJHRiRJImNHRiQ= NyNJKXBvd2Vyc2V0RzYi PCo8IjwlSSJhRzYiSSJiR0YmSSJjR0YmPCNGJTwjRic8JEYlRic8I0YoPCRGJ0YoPCRGJUYo SSV0cnVlRyUqcHJvdGVjdGVkRw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.2.10. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.2.11. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.2.12. P\303\251ld\303\241k.</Font></Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.2.13. P\303\251ld\303\241k.</Font></Text-field> X:={true,false}; `&iff`:=(x,y)->(x implies y) and (y implies x);isabeliangroup(X,(x,y)->x &iff y); PCRJJmZhbHNlRyUqcHJvdGVjdGVkR0kldHJ1ZUdGJA== Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlM2hGJEYmaEYmRiRGJUYlRiU= SSV0cnVlRyUqcHJvdGVjdGVkRw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.2.14. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.2.15. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.2.16. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.2.17. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.2.18. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.2.19. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.2.20. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.2.21. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.2.22. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.2.23. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.2.24. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.2.25. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.2.26. Feladat.</Text-field>
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">2.3. A term\303\251szetes sz\303\241mok rendez\303\251se</Font></Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.1. A term\303\251szetes sz\303\241mok rendez\303\251se.</Font></Text-field> 2<=5; evalb(%); MSIiIyIiJg== SSV0cnVlRyUqcHJvdGVjdGVkRw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.2. T\303\251tel.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.3. T\303\251tel.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.4. T\303\251tel.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.5. Sorozatok.</Text-field> i:='i'; j:='j'; $3..9; i^2$i=2/3..10/3; x[i]$i=3..8; {j^i$j=i..8}$i=2..4; SSJpRzYi SSJqRzYi NikiIiQiIiUiIiYiIiciIigiIikiIio= NiUjIiIlIiIqIyIjREYlIyIja0Yl NigmSSJ4RzYiNiMiIiQmRiQ2IyIiJSZGJDYjIiImJkYkNiMiIicmRiQ2IyIiKCZGJDYjIiIp NiU8KSIiJSIiKiIjOyIjRCIjTyIjXCIjazwoIiNGRioiJEQiIiQ7IyIkViQiJDcmPCciJGMjIiREJyIlJ0giIiUsQyIlJzQl LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.3.6. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.3.7. Feladat: tranzit<Font encoding="UTF-8">\303\255</Font>v lez<Font encoding="UTF-8">\303\241</Font>rt.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.3.8. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.3.9. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.10. P\303\251lda.</Font></Text-field> cat("ab","bcc"); cat("bcc","ab"); evalb(%=%%); "ab"||"bcc"; USZhYmJjYzYi USZiY2NhYjYi SSZmYWxzZUclKnByb3RlY3RlZEc= USZhYmJjYzYi StringTools[Generate](4,"abc"); 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.11. T<Font encoding="UTF-8">\303\266</Font>bbv<Font encoding="UTF-8">\303\241</Font>ltoz<Font encoding="UTF-8">\303\263</Font>s f<Font encoding="UTF-8">\303\274ggv\303\251nyek</Font>.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.12. Motiv\303\241ci\303\263: tov\303\241bbi rekurz\303\255v defin\303\255ci\303\263k.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.13. \303\201ltal\303\241nos rekurzi\303\263t\303\251tel.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.14. P<Font encoding="UTF-8">\303\251lda: Fibonacci-sz\303\241mok.</Font></Text-field> Fib:=proc(n::nonnegint) option remember; if n<2 then n else Fib(dec(n))+Fib(dec(dec(n))) fi end; interface(verboseproc=3): Fib(3);print(Fib); Fib(7);print(Fib); Zio2IydJIm5HNiJJKm5vbm5lZ2ludEclKnByb3RlY3RlZEdGJjYjSSlyZW1lbWJlckdGJkYmQCUyRiUiIiNGJSwmLUkkRmliR0YmNiMtSSRkZWNHRiY2I0YlIiIiLUYwNiMtRjNGMUY1RiZGJkYm IiIj Zio2IydJIm5HNiJJKm5vbm5lZ2ludEclKnByb3RlY3RlZEdGJjYjSSlyZW1lbWJlckdGJkVccyUiIiFGLCIiIkYtIiIjRi0iIiRGLkAlMkYlRi5GJSwmLUkkRmliR0YmNiMtSSRkZWNHRiY2I0YlRi0tRjQ2Iy1GN0Y1Ri1GJkYmRiY= IiM4 Zio2IydJIm5HNiJJKm5vbm5lZ2ludEclKnByb3RlY3RlZEdGJjYjSSlyZW1lbWJlckdGJkVccykiIiFGLCIiIkYtIiIjRi0iIiRGLiIiJkYwIiIlRi8iIigiIzgiIiciIilAJTJGJUYuRiUsJi1JJEZpYkdGJjYjLUkkZGVjR0YmNiNGJUYtLUY6NiMtRj1GO0YtRiZGJkYm LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.15. Szorzatok \303\251s \303\266sszegek.</Font></Text-field> prodfrom1:=proc(x,n) if n<1 then 1 elif n=1 then x[1] else prodfrom1(x,dec(n))*x[n] fi end; prodfrom1(y,5); product(y[i],i=0..7); sum(x[j],j=4.5..8.7); Zio2JEkieEc2IkkibkdGJUYlRiVGJUAnMkYmIiIiRikvRiZGKSZGJDYjRikqJi1JKnByb2Rmcm9tMUdGJTYkRiQtSSRkZWNHRiU2I0YmRikmRiRGM0YpRiVGJUYl KiwmSSJ5RzYiNiMiIiJGJyZGJDYjIiIjRicmRiQ2IyIiJEYnJkYkNiMiIiVGJyZGJDYjIiImRic= KjImSSJ5RzYiNiMiIiEiIiImRiQ2I0YoRigmRiQ2IyIiI0YoJkYkNiMiIiRGKCZGJDYjIiIlRigmRiQ2IyIiJkYoJkYkNiMiIidGKCZGJDYjIiIoRig= LComSSJ4RzYiNiMiIiYiIiImRiQ2IyIiJ0YoJkYkNiMiIihGKCZGJDYjIiIpRig= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.3.16. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.17. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.3.18. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.19. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.20. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.21. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.22. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.23. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.24. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.25. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.26. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->2.3.27. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.3.28. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*2.3.29. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.30. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.31. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.32. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.33. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.34. Feladat: Catalan-sz<Font encoding="UTF-8">\303\241</Font>mok.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.35. Feladat: Catalan-sz<Font encoding="UTF-8">\303\241</Font>mok.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.36. Logikai <Font encoding="UTF-8">f\303\274ggv\303\251nyek</Font>.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.36. Logikai <Font encoding="UTF-8">f\303\274ggv\303\251nyek nor</Font>m<Font encoding="UTF-8">\303\241</Font>lalakja.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.38. Norm<Font encoding="UTF-8">\303\241</Font>lalakok.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.39. A marad\303\251kos oszt\303\241s t\303\251tele.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.40. H\303\241nyados \303\251s marad\303\251k.</Font></Text-field> irem(17,3); iquo(17,3); 3*%+%%; IiIj IiIm IiM8 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">2.3.41. T\303\251tel: sz\303\241mrendszerek.</Font></Text-field> convert(17,base,3); convert(%,base,3,10); convert(17,binary); convert(17,octal); convert(17,hex); cat("",%); NyUiIiNGIyIiIg== NyQiIigiIiI= IiYsKyI= IiNA SSMxMUc2Ig== USMxMTYi LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.42. <Font encoding="UTF-8">Term\303\251szetes sz\303\241mok sz\303\241</Font>m<Font encoding="UTF-8">\303\255</Font>t<Font encoding="UTF-8">\303\263</Font>g<Font encoding="UTF-8">\303\251</Font>pes <Font encoding="UTF-8">\303\241</Font>br<Font encoding="UTF-8">\303\241</Font>zol<Font encoding="UTF-8">\303\241</Font>sa.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*2.3.43. Hash-transzform<Font encoding="UTF-8">\303\241</Font>ci<Font encoding="UTF-8">\303\263</Font>.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.44. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.3.45. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.3.46. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->2.3.47. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.48. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.49. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.50. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.51. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*2.3.52. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">2.3.53. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.54. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.55. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.56. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">2.3.57. Tov<Font encoding="UTF-8">\303\241</Font>bbi feladatok.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">3. A sz\303\241mfogalom b\305\221v\303\255t\303\251se</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">4. V\303\251ges halmazok</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">5. V\303\251gtelen halmazok</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">6. Sz\303\241melm\303\251let</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">7. Gr\303\241felm\303\251let</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1">8. Algebra</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">9. K\303\263dol\303\241s</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1">10. Algoritmusok</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn