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Emmanuel José García

Emmanuel José García Add us as a preferred source on Google

Mastodon @vanclides88@mathstodon.xyz
⚔ Compare ☆ Follow Own this channel?
🔄 Data last refreshed 13 days ago
Followers
59
Account age
3 yrs
🎁 Free analysisfor Emmanuel José García
🕵️Fake Followers CheckReal-audience % & bot risk→ 📊Engagement rateBenchmarked vs. peers→ 💰What they chargeFair sponsored-post price→

Known for

In this post I explain how, by playing with half-angle formulas and a generalization of the Newton–Mollweide formula, I arrived at a method I call USM for solving integrals with radicals and composite functions involving arcsecant/arccosecant. I show how this approach unifies several classical substitutions (complex exponentials, half-angle tangents, hyperbolic parametrizations, and Euler substitu4 views In this post I explain how, by playing with half-angle formulas and a generalization of the Newton–Mollweide formula, I arrived at a method I call USM for solving integrals with radicals and composite functions involving arcsecant/arccosecant. I show how this approach unifies several classical substitutions (complex exponentials, half-angle tangents, hyperbolic parametrizations, and Euler substitu Hey, I just generalized the 𝐥𝐚𝐰 𝐨𝐟 𝐜𝐨𝐭𝐚𝐧𝐠𝐞𝐧𝐭𝐬! Take a look at it on my blog: https://geometriadominicana.blogspot.com/2025/08/generalization-of-law-of-cotangents.html #math #geometry #trigonometry #halfangleapproach #symmetrymatters3 views Hey, I just generalized the 𝐥𝐚𝐰 𝐨𝐟 𝐜𝐨𝐭𝐚𝐧𝐠𝐞𝐧𝐭𝐬! Take a look at it on my blog: https://geometriadominicana.blogspot.com/2025/08/generalization-of-law-of-cotangents.html #math #geometry #trigonometry #halfangleapproach #symmetrymatters It’s incredible that these two identities can explain so much. Link: https://arxiv.org/abs/2505.03754 #math #calculus #euler #unification #generalization #integrals #integration2 views It’s incredible that these two identities can explain so much. Link: https://arxiv.org/abs/2505.03754 #math #calculus #euler #unification #generalization #integrals #integration The first and most complete unification of classical integration techniques ever! Say hello to USM. Draft article: https://drive.google.com/file/d/12DayP6cD1VwDIZCL-nMlcaNH2XUwHfAy/view?usp=drivesdk #math #calculus #halfangleapproach #symmetrymatters1 views The first and most complete unification of classical integration techniques ever! Say hello to USM. Draft article: https://drive.google.com/file/d/12DayP6cD1VwDIZCL-nMlcaNH2XUwHfAy/view?usp=drivesdk #math #calculus #halfangleapproach #symmetrymatters

📊 Post engagement

Recent posts · likes + reposts
Mar 1latest
2
Avg engagement / post
1–3
Typical post (engagement)
3.4%
Engagement vs followers
78/100
Very consistent reach
Nov 2022
On Mastodon since
Half of recent posts land between 1 and 3 likes + reposts (median 2) — a dependable floor a sponsored post can count on.

🔥 Top post: In this post I explain how, by playing with half-angle formulas · 4 likes + reposts

📊 Activity & format

Posting cadence
0.15 / week
A lower-frequency account — each post lands with more weight.
Content mix
Mostly images
Recent: 3 text · 8 image · 1 video.
Follower / following
0.7×
Follows 88 back. A more reciprocal / networked account.

Recent posts

View on Mastodon ↗
🔥 Top post In this post I explain how, by playing with half-angle formulas and a generalization of the Newton–Mollweide formula, I arrived at a method I call USM for solving integrals with radicals and composite functions involving arcsecant/arccosecant. I show how this approach unifies se… ★ 4
New applications of complex numbers in Geometry! Link: https://geometriadominicana.blogspot.com/2026/09/complex-exponential-coordinates-for.html?m=1 It’s incredible that these two identities can explain so much. Link: https://arxiv.org/abs/2505.03754 #math #calculus #euler #unification #generalization #integrals #integration ★ 2 Weierstrass Substitution as a Special Case of the USM Framework: https://geometriadominicana.blogspot.com/2025/12/weierstrass-as-special-case-of-usm.html #math #calculus #Weierstrass #USM #framework #euler #unification #integral #integrati… ★ 2 When a calculus student ends up solving this integral using partial fraction decomposition (PFD) or integration by parts (IBP), what they have actually done is successfully applied a classical algorithm. It’s like solving the Rubik’s cube … Hey, I just generalized the 𝐥𝐚𝐰 𝐨𝐟 𝐜𝐨𝐭𝐚𝐧𝐠𝐞𝐧𝐭𝐬! Take a look at it on my blog: https://geometriadominicana.blogspot.com/2025/08/generalization-of-law-of-cotangents.html #math #geometry #trigonometry #halfangleapproach #symmetrymatters ★ 3 USM really does slash the rote burden, chiefly because one handful of exponential/hyperbolic identities replaces a patchwork of separate trig, inverse-trig, radical and Euler recipes. Article (draft): https://arxiv.org/abs/2505.03754 #math… ▶ USM is a single, systematic framework that unifies trigonometric, hyperbolic, and complex-exponential substitutions into one coherent method. No more hunting through a dozen separate “recipes” for different radicals or inverse-trig integra… The first and most complete unification of classical integration techniques ever! Say hello to USM. Draft article: https://drive.google.com/file/d/12DayP6cD1VwDIZCL-nMlcaNH2XUwHfAy/view?usp=drivesdk #math #calculus #halfangleapproach #sym… ★ 1 The USM, the Dominican method 🇩🇴, has relegated Euler substitutions to mere historical relics. Modern integration has a new name. Method draft: https://drive.google.com/file/d/12DayP6cD1VwDIZCL-nMlcaNH2XUwHfAy/view?usp=drivesdk #math #calc… The USM 𝐢𝐧𝐜𝐨𝐫𝐩𝐨𝐫𝐚𝐭𝐞𝐬, 𝐞𝐱𝐭𝐞𝐧𝐝𝐬, 𝐣𝐮𝐬𝐭𝐢𝐟𝐢𝐞𝐬, and 𝐬𝐮𝐫𝐩𝐚𝐬𝐬𝐞𝐬 Euler's substitutions. In Euler's substitutions, the choice of signs based on the domain must be made manually, whereas in the USM, the supporting theorems prescribe which sign to use… ★ 1 The USM is superior to traditional methods! Using the USM’s IV transformation formula, from the summary at the link below, you convert integrals of this type into polynomial-type integrals. The traditional method reduces it to the integral…

🐘 Community & instance

Home server
mathstodon.xyz
Their home server on the fediverse — the instance a creator picks signals the community they belong to.
On Mastodon since
Nov 2022
Joined in the Twitter-exodus wave of late 2022 — part of the migration that made Mastodon a real destination.

💡 Facts

🗓️Joined Mastodon in 2022 — 3 years ago.
👁️Averages 2 views per post.
📤Posts about 0.2× per week.

🕵️ Fake follower check

Estimated
66/100
Good Credibility score
89%
Real Real audience
Low Fake-follower risk
High Data confidence
  • Est. 89% real, active audience · Low fake-follower risk.
  • Engagement (~3.4% of followers engage each post) is around typical for Mastodon.
  • Established account (3+ years old).

Heuristic estimate from engagement, follower ratios, account age & growth — a screening signal, not a guarantee.

About

eⁱᵅ = tan(½β) If half-angle formulas aren't central, then I don't know what is.

📸 Gallery

New applications of complex numbers in Geometry! Link: https://geometriadominicana.blogspot.com/2026/09/complex-exponential-coordinates-for.html?m=1 It’s incredible that these two identities can explain so much. Link: https://arxiv.org/abs/2505.03754 #math #calculus #euler #unification #generalization #integrals #integration In this post I explain how, by playing with half-angle formulas and a generalization of the Newton–Mollweide formula, I arrived at a method I call USM for solving integrals with radicals and composite functions involving arcsecant/arccosecant. I show how this approach unifies several classical substitutions (complex exponentials, half-angle tangents, hyperbolic parametrizations, and Euler substitu When a calculus student ends up solving this integral using partial fraction decomposition (PFD) or integration by parts (IBP), what they have actually done is successfully applied a classical algorithm. It’s like solving the Rubik’s cube by following an algorithm you found on the Internet: the heavy lifting of inventing PFD and IBP was done centuries ago by Bernoulli, Leibniz, and Gregory. That s Hey, I just generalized the 𝐥𝐚𝐰 𝐨𝐟 𝐜𝐨𝐭𝐚𝐧𝐠𝐞𝐧𝐭𝐬! Take a look at it on my blog: https://geometriadominicana.blogspot.com/2025/08/generalization-of-law-of-cotangents.html #math #geometry #trigonometry #halfangleapproach #symmetrymatters USM really does slash the rote burden, chiefly because one handful of exponential/hyperbolic identities replaces a patchwork of separate trig, inverse-trig, radical and Euler recipes. Article (draft): https://arxiv.org/abs/2505.03754 #math #calculus #integral #new #euler #arxiv #halfangleapproach #symmetrymatters USM is a single, systematic framework that unifies trigonometric, hyperbolic, and complex-exponential substitutions into one coherent method. No more hunting through a dozen separate “recipes” for different radicals or inverse-trig integrals—you rewrite x + b as e^(±i α) (or e^θ), track sign/branch choices algorithmically, and reduce everything to a rational (“polynomish”) integral in a new variab The first and most complete unification of classical integration techniques ever! Say hello to USM. Draft article: https://drive.google.com/file/d/12DayP6cD1VwDIZCL-nMlcaNH2XUwHfAy/view?usp=drivesdk #math #calculus #halfangleapproach #symmetrymatters

🔀 Audience overlap

Estimated

Estimated shared audience with similar creators — useful for avoiding overlap (or doubling down) when planning a campaign.

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