등차수열,arithmetic_sequence

Difference between r1.4 and the current

@@ -31,6 +31,11 @@
sifting
Ggl:"Strong Bounds for 3-Progressions"
}
= arithmetic progression topology =
arithmetic_progression_topology
WpEn:Arithmetic_progression_topologies
Ggl:"arithmetic progression topology"

----
'''arithmetic(arithmetical) sequence(progression)'''
@@ -38,5 +43,4 @@
https://encyclopediaofmath.org/wiki/Arithmetic_progression

Up: [[수열,sequence]]


$a,\,a+d,\,a+2d,\,\cdots,\,a+(n-1)d$
어떤 수(첫 항, initial term, a)에서 시작하여 일정한 수(공차, common difference, d)를 차례로 더해서 만들어진 수열,sequence
$a_1=a,\,a_2=a+d,\,a_3=a+2d,\,\cdots,\,a_n=a+(n-1)d$


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다른 수열과의 관련

각 항의 역수가 등차수열인 수열은 조화수열,harmonic_sequence.

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three arithmetic progression problem

tmp via 2023's Biggest Breakthroughs in Math https://youtu.be/4HHUGnHcDQw?si=OTsekVU8UJIV4Ypy&t=861
{
Ggl:three arithmetic progression problem
1936 Paul_Erdos and Paul_Turan Ggl:Paul Erdos Paul Turan
1946 Felix_Behrend
1653 Klaus_Roth
Ggl:Roth-Meshulam proof
sifting
Ggl:Strong Bounds for 3-Progressions
}

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arithmetic progression topology