Partials and congenerics

Partial sequence is a sequence with skips (empty positions, spaces). FOA uses the special symbol - as empty element. Partial sequence where all non-empty elements are equals Congeneric sequence.

SequencePartialCongeneric

block-beta
columns 36
s1["I"] s2["N"] s3["T"] s4["E"] s5["L"] s6["L"] s7["I"] s8["G"] s9["E"] s10["N"]
s11["C"] s12["E"] s13[" "] s14["I"] s15["S"] s16[" "] s17["T"] s18["H"] s19["E"] s20[" "]
s21["A"] s22["B"] s23["I"] s24["L"] s25["I"] s26["T"] s27["Y"] s28[" "] s29["T"] s30["O"]
s31[" "] s32["A"] s33["D"] s34["A"] s35["P"] s36["T"]

classDef c1 fill:#ff7f0e,color:#fff;
classDef c2 fill:#ffbb78,color:#000;
classDef c3 fill:#2ca02c,color:#fff;
classDef c4 fill:#98df8a,color:#000;
classDef c5 fill:#d62728,color:#fff;
classDef c6 fill:#ff9896,color:#000;
classDef c7 fill:#9467bd,color:#fff;
classDef c8 fill:#c5b0d5,color:#000;
classDef c9 fill:#8c564b,color:#fff;
classDef c10 fill:#c49c94,color:#000;
classDef c11 fill:#e377c2,color:#fff;
classDef c12 fill:#f7b6d2,color:#000;
classDef c13 fill:#bcbd22,color:#fff;
classDef c14 fill:#dbdb8d,color:#000;
classDef c15 fill:#17becf,color:#fff;
classDef c16 fill:#9edae5,color:#000;

classDef skip fill:#ffffff

block-beta
columns 36
s1["I"] s2["N"] s3["T"] s4["E"] s5["L"] s6["L"] s7["I"] s8["G"] s9["E"] s10["N"]
s11["C"] s12["E"] s13[" "] s14["-"] s15["-"] s16[" "] s17["T"] s18["-"] s19["-"] s20[" "]
s21["-"] s22["B"] s23["-"] s24["L"] s25["-"] s26["T"] s27["-"] s28["-"] s29["T"] s30["-"]
s31["-"] s32["-"] s33["D"] s34["-"] s35["P"] s36["T"]

classDef c1 fill:#ff7f0e,color:#fff;
classDef c2 fill:#ffbb78,color:#000;
classDef c3 fill:#2ca02c,color:#fff;
classDef c4 fill:#98df8a,color:#000;
classDef c5 fill:#d62728,color:#fff;
classDef c6 fill:#ff9896,color:#000;
classDef c7 fill:#9467bd,color:#fff;
classDef c8 fill:#c5b0d5,color:#000;
classDef c9 fill:#8c564b,color:#fff;
classDef c10 fill:#c49c94,color:#000;
classDef c11 fill:#e377c2,color:#fff;
classDef c12 fill:#f7b6d2,color:#000;
classDef c13 fill:#bcbd22,color:#fff;
classDef c14 fill:#dbdb8d,color:#000;
classDef c15 fill:#17becf,color:#fff;
classDef c16 fill:#9edae5,color:#000;

classDef skip fill:#ffffff

class s14,s15,s18,s19,s21,s23,s25,s27,s28,s30,s31,s32,s34 skip

block-beta
columns 36
s1["-"] s2["-"] s3["T"] s4["-"] s5["-"] s6["-"] s7["-"] s8["-"] s9["-"] s10["-"]
s11["-"] s12["-"] s13["-"] s14["-"] s15["-"] s16["-"] s17["T"] s18["-"] s19["-"] s20["-"]
s21["-"] s22["-"] s23["-"] s24["-"] s25["-"] s26["T"] s27["-"] s28["-"] s29["T"] s30["-"]
s31["-"] s32["-"] s33["-"] s34["-"] s35["-"] s36["T"]

classDef c1 fill:#ff7f0e,color:#fff;
classDef c2 fill:#ffbb78,color:#000;
classDef c3 fill:#2ca02c,color:#fff;
classDef c4 fill:#98df8a,color:#000;
classDef c5 fill:#d62728,color:#fff;
classDef c6 fill:#ff9896,color:#000;
classDef c7 fill:#9467bd,color:#fff;
classDef c8 fill:#c5b0d5,color:#000;
classDef c9 fill:#8c564b,color:#fff;
classDef c10 fill:#c49c94,color:#000;
classDef c11 fill:#e377c2,color:#fff;
classDef c12 fill:#f7b6d2,color:#000;
classDef c13 fill:#bcbd22,color:#fff;
classDef c14 fill:#dbdb8d,color:#000;
classDef c15 fill:#17becf,color:#fff;
classDef c16 fill:#9edae5,color:#000;

classDef skip fill:#ffffff

class s1,s2,s4,s5,s6,s7,s8,s9,s10 skip
class s11,s12,s13,s14,s15,s16,s18,s19,s20 skip
class s21,s22,s23,s24,s25,s27,s28,s30 skip
class s31,s32,s33,s34,s35 skip

Every operation and statement described in Order and its measures that can be applied to Sequence are also valid for Partial sequence, keeping in mind that only non-empty elements are involved. Read the following documentation to clarify the differences that appear for Partial Sequence, Order, and Intervals Chain.