![]() Stronger variations of Blue can be used to target faster-moving targets or large areas, but the user can't create a wide field of attraction close to themselves. Maximum cursed energy output generates a large field of attraction away from the user. It's also commonly used to destroy buildings or clear entire areas of any structures. Offensively, the user can use Blue to constrict the space around a target and crush their appendages. This forces the surrounding space to try and fill in the gap by pulling violently toward the source of the aforementioned impossibility, creating the magnetic-like effect. This is achieved by amplifying the Limitless and bringing the conceptual impossibility of negative distance into reality. Strengthened Limitless: Blue Main Article: Cursed Technique Lapse: Blueīlue ( 蒼 ( あお ), Ao ?) is the Cursed Technique Lapse of the Limitless, which increases the cursed energy output of the technique and generates the power to attract. The Infinity keeping Fly Heads from reaching Satoru. Cursed tools imbued with specialized cursed techniques can also disturb or dispel the Infinity. The Infinity can only be deactivated by the user, or countered by Domain Expansion or Domain Amplification. The invisible barrier created by the Infinity can be expanded to keep harmful substances away from the user, or to overpower someone attempting to neutralize their technique. The Limitless brings this concept into reality, so anything that attempts to penetrate this infinitely divided space will slow down to the point of appearing to stop completely. Instead, they will be left with fractional units so infinitesimal it would become immeasurable to their eye. In mathematics, no matter how many times someone divides a number it will never be reduced to zero. This is because the technique takes the finite amount of space between the two subjects and divides it an infinite amount of times. The Infinity is the convergence of an immeasurable series, anything that approaches the infinity slows down and never reaches the user. The Limitless technique operates the same way convergent and divergent sequences do in mathematics. Infinity ( 無 ( む ) 限 ( げん ), Mugen ?) is the base state of the Limitless and is essentially the power to stop. 1.2.1 Short-Range Instantaneous Movement.To better understand this, here are two important concepts to take away from the graph shown above. In fact, the harmonic series is the total sum of an infinite harmonic sequence, so if we want to learn about harmonic series, we should review what we know about harmonic sequences. ![]() Harmonic sequence and series come hand in hand. Have we piqued your curiosity about the harmonic series yet? Why don’t we begin by refreshing what makes up a harmonic series? What is a harmonic series?īefore we dive right into the definition of a harmonic series, check out this quick visualization on how a harmonic series’ terms progress. ![]() Review the different tests we can apply to confirm convergence and divergence.Make sure you know the difference between convergent and divergent.Understand how arithmetic sequence (and series) can be used to define harmonic series.We’ll also understand whether the series diverges or converges using the different tests we’ve learned in the past. This article will explore this unique series and understand how they behave as an infinite series. ![]() For now, here’s a quick recap on what makes the harmonic series unique.Ī harmonic series is a series that contains the sum of terms that are the reciprocals of an arithmetic series’ terms. This particular series is significant in music theory, and in the next section, you’ll understand why. Harmonic series is one of the first three series you’ll be introduced to in your Algebra class. Harmonic series – Properties, Formula, and Divergence ![]()
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