Homo sapiens declared extinct (1999)
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Fully homomorphic encryption and the dawn of a private internet
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How Google is Making Private AI Practical with Homomorphic Encryption
Today we're excited to showcase HEIR, the latest powerful tool added to our Private Computing Toolkit. HEIR is an open source compiler that unlocks cryptographically-secure private AI inference.Homomorphic encryptionAs new benefits emerge with the growth of AI, balancing privacy…
Homo (disambiguation) - Wikipedia
HOMO, Homo, homo, or homo- in Wiktionary, the free dictionary. Homo is the taxonomical genus that includes modern humans (Homo sapiens sapiens). Homo
Homo narrans - Wikipedia
nature of human beings: homo faber, homo economicous, homo politicus, homo sociologicus, "psychological man", "ecclesiastical man", homo sapiens, and, of course
n-Butterflies: Algebraically Modeling Morphisms between Homotopy n-Types
Crossed modules are known to be a model of pointed connected homotopy 2-types; formally, the homotopy category of crossed modules is equivalent to the category of pointed connected homotopy 2-types. In forming the homotopy category of crossed modules...
Jacobi-Zariski Exact Sequence for Hochschild Homology and Cyclic (Co)Homology
We prove that for an inclusion of unital associative but not necessarily commutative algebras $B\subseteq A$ we have long exact sequences in Hochschild homology and cyclic (co)homology akin to the Jacobi-Zariski sequence in André-Quillen homology, p...
Rational genus and Heegaard Floer homology
Turaev defined a function on the first homology of a rational homology 3-sphere $Y$ as the minimal rational Seifert genus of all knots in this homology class. Ni and the first author discovered a lower bound of this function using the Heegaard Floer...
Holomorphic isometries into homogeneous bounded domains
We prove two rigidity theorems on holomorphic isometries into homogeneous bounded domains. The first shows that a Kähler-Ricci soliton induced by the homogeneous metric of a homogeneous bounded domain is trivial, i.e. Kähler-Einstein. In the second...
A Homological dimension related to AB rings
There are many homological dimensions which are closely related to ring theoretic properties. The notion of a AB ring has been introduced by Huneke and Jorgensen. It has nice homological properties. In this paper, we shall define a homological dimens...
On homotopy invariants of finite degree
We prove that homotopy invariants of finite degree distinguish homotopy classes of maps of a connected compact CW-complex to a nilpotent connected CW-complex with finitely generated homotopy groups....
A generalization of anti-homomorphisms
We prove some nice properties of anti-homomorphisms, some of which are analogic to that of homomorphisms. Meanwhile, we develop a new kind of composition called $*$-composition such that the $*$-composition of two anti-homomorphisms is still an anti-...
Homological selections and fixed-point theorems
A homological selection theorem for C-spaces, as well as, a finite-dimensional homological selection theorem is established. We apply the finite-dimensional homological selection theorem to obtain fixed-point theorems for usco homologically UV^n set-...
Reflexive homology
Reflexive homology is the homology theory associated to the reflexive crossed simplicial group; one of the fundamental crossed simplicial groups. It is the most general way to extend Hochschild homology to detect an order-reversing involution. In thi...
Homomorphic Encryption with Access Policies: Characterization and New Constructions
A characterization of predicate encryption (PE) with support for homomorphic operations is presented and we describe the homomorphic properties of some existing PE constructions. Even for the special case of IBE, there are few known group-homomorphic...
Homo - Wikipedia
Homo (from Latin homō 'human') is a genus of great ape (family Hominidae) that emerged from the early homininian genus Australopithecus, encompassing
Homo sapiens (disambiguation) - Wikipedia
Look up Homo sapiens in Wiktionary, the free dictionary. Wikispecies has information related to Homo sapiens. Homo sapiens (Latin: "wise man") is the
Homotopy fiber products of homotopy theories
Given an appropriate diagram of left Quillen functors between model categories, one can define a notion of homotopy fiber product, but one might ask if it is really the correct one. Here, we show that this homotopy pullback is well-behaved with res...