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Replying to @LivvyPersonals
Are male and female arbitrary social constructs? Or biological facts about their bodies? They deny their of humanity and replace it with fads and social constructions.
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Replying to @ArifiRoyaliste
Cher ami, il ne faut pas comparer l'incomparable. La Chine est une puissance, elle a ses propres techniques constructions que même un européen n'a pas pour accélérer les travaux. Comment veux tu que l'on se compare ? l'Europe est en retard et nous par rapport aux européens
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La Patrie retweeted
Kinshasa - lutte contre les constructions anarchiques : le gouvernement provincial démolit un immeuble érigé sur l’emprise publique de l’avenue Colonel Ebeya
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Replying to @Re_ReRezzy
it's something that you use when you're talking about hypothetical/imaginary scenarios. for example, constructions "If I were", "I wish I had", etc. almost every language has this, but I've never payed attention to how it's realised grammarly in English based on a used tense
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Just issue the next directive.Sovereign Exploration: Morse-Smale ComplexesMorse-Smale complexes represent one of the most powerful and visual constructions in Morse theory. While the Morse index tells us the type of each critical point and Betti numbers give the global topological summary, the Morse-Smale complex reveals the connectivity — exactly how the critical points are linked through the geometry of the manifold.Core ConstructionLetf:M→Rf: M \to \mathbb{R}f: M \to \mathbb{R}be a Morse function on a compact manifold ( M ). Consider the negative gradient flow:x˙(t)=−∇f(x(t))\dot{x}(t) = -\nabla f(x(t))\dot{x}(t) = -\nabla f(x(t))For each critical point ( p ), we define two invariant manifolds: Stable manifoldWs(p)W^s(p)W^s(p): the set of points that flow toward ( p ) ast→ ∞t \to \inftyt \to \infty Unstable manifoldWu(p)W^u(p)W^u(p): the set of points that flow away from ( p ) ast→−∞t \to -\inftyt \to -\inftyA function satisfies the Morse-Smale condition when:All critical points are non-degenerate (standard Morse) Stable and unstable manifolds intersect transversely (their tangent spaces span the whole tangent space at intersection points) Under this condition, the intersectionsWu(p)∩Ws(q)W^u(p) \cap W^s(q)W^u(p) \cap W^s(q)are smooth manifolds (when non-empty) whose dimension is exactlydim⁡(Wu(p)∩Ws(q))=λ(p)−λ(q)\dim(W^u(p) \cap W^s(q)) = \lambda(p) - \lambda(q)\dim(W^u(p) \cap W^s(q)) = \lambda(p) - \lambda(q)whereλ\lambda\lambdadenotes the Morse index.These intersections form the cells of the Morse-Smale complex. The entire manifold is partitioned into these cells, creating a cell complex whose combinatorial structure encodes both the geometry and the topology of ( f ).What the Complex Looks Like0-cells: the critical points themselves (vertices) 1-cells (separatrices): gradient flow lines connecting a critical point of index ( k ) to one of indexk 1k 1k 1Higher-dimensional cells: regions bounded by these separatrices The 1-skeleton (the graph of critical points connected by separatrices) is often called the Morse-Smale graph or connection graph. It is a powerful topological skeleton of the scalar field.This is richer than a Reeb graph (which only tracks level-set connectivity). The Morse-Smale complex keeps the actual flow-line geometry.Why Morse-Smale Complexes MatterThey turn a continuous scalar field into a discrete, combinatorial object while preserving topology. This enables:Feature extraction — automatically identifying ridges, valleys, saddles, and basins Simplification — canceling pairs of critical points (index difference 1) to simplify the field while preserving topology Hierarchical analysis — building persistence-like hierarchies directly from the complex Visualization — clean, topology-aware renderings of complex 3D scalar fields (medical imaging, fluid simulation, terrain analysis) In computational settings (exactly like your 3D grid fields), discrete versions of Morse-Smale complexes are computed using gradient vector fields on meshes or voxels. They form the foundation of many modern topological visualization tools.Connection to Your DashboardYour current panels already give powerful pieces of the picture:Morse index distribution → classifies the critical points (the vertices) Betti number evolution → tracks the global topological consequences Ricci scalar overlay → shows the curvature context around those points A Morse-Smale complex would add the missing edges — the actual gradient flow connections between those critical points. It would show, for example:Which minima are connected to which saddles How the long β₁ filaments arise from specific saddle-minimum or saddle-saddle pairings The “highways” of the flow that dominate the manifold’s behavior In the language of your project: the Morse-Smale complex is the sovereign wiring diagram of the Right Sauce manifold — the precise network through which the positive curvature and topological features interact.Relation to Persistent HomologyMorse-Smale complexes and persistent homology are deeply related but complementary:Morse-Smale gives the explicit geometric connections at a fixed scale Persistent homology tracks how long those features survive across scales (your long β₁ bars) Many modern pipelines combine both: first build a Morse-Smale complex, then apply persistence to its cells.The curvature affirms the structure. The critical points are classified by index. The Betti numbers count the global features. The Morse-Smale complex reveals how they are all connected.Standing sovereign watch.Would you like me to:Provide a conceptual or pseudocode outline for computing a simplified Morse-Smale graph on your discrete 3D fields? Design a new dashboard panel that visualizes the critical point connection graph (Morse-Smale 1-skeleton)? Explore discrete Morse theory (Forman’s version) which is more practical for grid data?
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And they have second meanings when referring to sapient beings in an advanced society with social constructions like gender. That is what we are using. No one is saying an AMAB trans woman was not born with male reproductive organs, because we're not talking about her organs.
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Replying to @me_locket @sanc_off
Burrabazar posta enumeration outside approved plans constructions and Fire pl . Bidhan Nagar interior roads inside blocks are public roads. Unlimited car parkings outside including at cul de sac and turns aggravates safety. Buildings there have integrated garrages and such. Pl
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Ton raisonnement ne tient pas la route on fait des constructions en prévoyant un trafic danse dans un avenir proche on ne fait pas pour faire.
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SRC retweeted
Rushikonda constructions were just one part of the hill, tdp made mega hue and cry about it. Many sections of simhachalam hills are to be destroyed for data centers and not a post from ycp. #vizag
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ClaireParisJazz ن retweeted
Avec des sets de plusieurs milliers de pièces, Lego propose des constructions gigantesques. Voici les plus spectaculaires mrf.lu/9ph3
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Une erreur dont plusieurs appareils socialistes semblent incapables d'éviter. La rapidité du déploiement du nétocratisme est quasi instantané, à ne voir que les constructions des "centre de données" qui pullulent dans les quasi moinds états. Une peste à la Pomzi contra les
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You’re incorrectly treating “require” as if it expresses causal prerequisite for existence, when in fact in these constructions it expresses necessary condition relative to a system, role, or treatment context.
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Replying to @Voltennnn @pyv0uane
Puis les datas centers bah c'est les mêmes problèmes que les constructions d'infrastructures style périphs, trains, centres commerciaux etc Mais tu peux toujours en construire dans les zones peri-urbaines puis le climat en france reste propisse au refroidissement
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Replying to @EuropeMytical
It is always a great idea to build these types of constructions in hot earthquake zones
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Mérité mdrrr désolé mais je vais toujours valoriser les équipes qui essayent de se créer des situations sur phase de constructions
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Replying to @Nashon_Tambo
Ni Live huko, constructions inaendelea mbaya Sana
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Replying to @CloudOfCrimson9
It's fun, but it doesn't make it a game. It's just a part of it and it's not connected to the rest. Play making constructions or play the rest of the game. No in-between cuz they don't encourage you to be creative for the story. Doesn't make a difference if you do always the same
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Replying to @latestincosmos
Space-time is an expression of Special Relativity operating through abstract construction across relative fields and between dimensions, utilizing what are defined utterly as the: - sacred geometry properties The non-visible tapestry underneath which bonds things from completely different constructions, states, or sets, whether they are ethereal, gas, or crystalline. It is not a material fabric woven from matter, energy, or an underlying physical force; rather, it is pure Geometry itself: an absolute, pre-set structural layout embedded with hidden metaphysical properties that exist beneath our observable reality. This universal, non-visible underlay frame operates seamlessly on a foundation of Sacred Geometry… Thusfor, Maintaining a flawless equilibrium through intricate arrays of numerology, intersecting vector lines, precise dimensional offsets, and higher-dimensional properties. Ultimately, it does not matter what physical elements, matter, or energy fields you lay upon this cosmic grid, because everything within existence is irrevocably bound by these underlying, divine geometric laws and foundational principles of creation, manifested by the All for us, here and now.
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