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The implementation sums sin(nπx)/n for n=1 through 10. These weighted harmonics produce a periodic scalar feature of period two. The function’s language label names its intended family role; no text representation or language training is performed by this scalar Fourier series.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| n | Harmonic index 1…10 |
| a_n | Coefficient fixed to 1/n |
| x | Scalar input |
How it works
Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
func FYad(x float64) float64 {
if x <= 0 {
return 1.0
}
return math.Pow(x, x) + 1.0
}
// FLashon: F_Lashon(x) = Σ_n a_n·sin(nπx) (Language - Fourier series)
func FLashon(x float64) float64 {
sum := 0.0
for n := 1; n <= 10; n++ {
an := 1.0 / float64(n) // Harmonic coefficients
sum += an * math.Sin(float64(n)*math.Pi*x)
}
return sum
}
// FAthena: F_Athena(x) = argmax_y U(x,y) (Strategy - utility maximization)Exact original notation
FLashon: F_Lashon(x) = Σ_n a_n·sin(nπx) (Language - Fourier series)