Elia Truman

A cord slung o'er a precipice; merely a sheer passing, a breath; twixt the voids, twixt the ever silent noughts.

[Elia Truman @user_no707]

@robolsmath

[Elia Truman @user_no707]

@robolsmath

[Elia Truman @user_no707]

@Riazi_Cafe

[Elia Truman @user_no707]

@ai_meh_s @Riazi_Cafe_en

[Elia Truman @user_no707]

@SeriesIntegral

[Elia Truman @user_no707]

@sonukg4india

[Elia Truman @user_no707]

@MantillaIgnacio @ai_meh_s

[Elia Truman @user_no707]

@sonukg4india

[Elia Truman @user_no707]

@Riazi_Cafe از کجا صحت پاسخ هوش مصنوعی را کنترل می‌کنید؟

از کجا می‌دانید برای اثبات یک قضیه به چه دانشی نیاز دارید درحالی که ممکن است آن دانش هنوز وجود نداشته باشد؟

چقدر زمان لازم است؟

باید هزینه و فایده تولید و نگهداری دانش از قبل را با هزینه و فایده تولید آن در هنگام نیاز مقایسه کنیم.

[Elia Truman @user_no707]

@Riazi_Cafe

[Elia Truman @user_no707]

@ai_meh_s

[Elia Truman @user_no707]

@MantillaIgnacio @MathMath901

[Elia Truman @user_no707]

@sonukg4india

[Elia Truman @user_no707]

@4lichino @theepicmap

[Elia Truman @user_no707]

@Rami92738342 @theepicmap No matter you're a pro-western or pro-estern. It's all about power, about being weak or strong, about capability.
Geopolitics doesn’t work with slogans.

Also, I said Jordan follows nearly a same pattern. Not being influenced by exactly those.

[Elia Truman @user_no707]

Each harmonic becomes a vector of length 2|cₙ|, spinning at nω₀.
Chained tip to tail, their vertical sum is exactly f(t) − c₀
So, the tip of the chain and the scrolling trace land on the same pixel, not approximately, but by exact algebraic identity.

[Elia Truman @user_no707]

A heartbeat, drawn entirely by circles

Any periodic signal can be rebuilt as a chain of rotating vectors or an epicycle.

Here, 80 of them spin together and their tip traces out one full P-QRS-T cardiac cycle.

#Fourier
#ECG
#SignalProcessing
#Visualization

[matharium @matharium]

The square wave's epicycles rebuilt with squares: square k has half-side 1/(2k + 1), a point circuits it at constant speed 2k + 1 times per period, and the next square is centred on that point.

One square gives a trapezoid wave. The last point's height is the sum of all N. With every point in its corner it is 1 + 1/3 + … + 1/(2N − 1), which is 2.081 at N = 9 and grows like ½ ln N without bound.

[Elia Truman @user_no707]

Real ECG is irregular, so a cycle is modeled as 5 raised-cosine pulses PQRST
Raised-cosines keep both value and slope smooth at the edges, which kills the Gibbs ringing that would fake a dip after the QRS
The spectrum decays like 1/n³, so 80 harmonics are enough for a clean trace

[Elia Truman @user_no707]

@Math_files If n is composite, the regular n-gon is constructible if and only if:

n = 2ᵃ.p₁.p₂ ... pₙ

where the pᵢ are distinct Fermat primes.