a pipe that has several lateral outlets to or from other pipes
manifold paper, manifold(noun)
a lightweight paper used with carbon paper to make multiple copies
"an original and two manifolds"
a set of points such as those of a closed surface or an analogue in three or more dimensions
many and varied; having many features or forms
"manifold reasons"; "our manifold failings"; "manifold intelligence"; "the multiplex opportunities in high technology"
make multiple copies of
"multiply a letter"
combine or increase by multiplication
"He managed to multiply his profits"
English Synonyms and Antonyms
That is complex which is made up of several connected parts. That is compound in which the parts are not merely connected, but fused, or otherwise combined into a single substance. In a composite object the different parts have less of unity than in that which is complex or compound, but maintain their distinct individuality. In a heterogeneous body unlike parts or particles are intermingled, often without apparent order or plan. Conglomerate (literally, globed together) is said of a confused mingling of masses or lumps of various substances. The New England pudding-stone is a conglomerate rock. In a complex object the arrangement and relation of parts may be perfectly clear; in a complicated mechanism the parts are so numerous, or so combined, that the mind can not readily grasp their mutual relations; in an intricate arrangement the parts are so intertwined that it is difficult to follow their windings; things are involved which are rolled together so as not to be easily separated, either in thought or in fact; things which are tangled or entangled mutually hold and draw upon each other. The conception of a material object is usually complex, involving form, color, size, and other elements; a clock is a complicated mechanism; the Gordian knot was intricate; the twining serpents of the Laocoon are involved. We speak of an abstruse statement, a complex conception, a confused heap, a heterogeneous mass, a tangled skein, an intricate problem; of composite architecture, an involved sentence; of the complicated or intricate accounts of a great business, the entangled accounts of an incompetent or dishonest bookkeeper.
Complete Dictionary of Synonyms and Antonyms
Dictionary of English Synonymes
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How to use manifold in a sentence?
A plan is just a tangent vector on the manifold of reality.
From one Soul of the Universe are all Souls derived. . .Of these Souls there are many changes, some into a more fortunate estate, and some quite contrary. . .Not all human souls but only the pious ones are divine. Once separated from the body, and after the struggle to acquire piety, which consists in knowing God and injuring none, such a soul becomes all intelligence. The impious soul, however, punishes itself by seeking a human body to enter into, for no other body can receive a human soul it cannot enter the body of an animal devoid of reason. Divine law preserves the human soul from such infamy. . .The soul passeth from form to form and the mansions of her pilgrimage are manifold. Thou puttest off thy bodies as raiment and as vesture dost thou fold them up. Thou art from old, O Soul of Man yea, thou art from everlasting.
A voluntary stranding is a natural behavior of orcas living in the wild… The orcas at Loro Parque are trained to leave the water on their own accord. This behavior is used for manifold purposes, for example, for presenting the animals to the public, for conducting corporal check-ups, for inspecting their blowholes, as well as for testing hearing abilities of the orcas.
Basics of Macro-systems' Behavior Prediction 1 .The Macro-systems with their sometimes stochastic behavior may be (good) indicators of the dispersal of information from a holistic standpoint as well as [to be discussed later on] from a regionally molecular anisotropic zone. 2. The data scattering as for systems with quasi-vector behavior on liquids, on gases, and amongst solids, when observed from an epi-phenomenological perspective versus a phenomenological one, can show that a number of classical views on mechanistic behavior of Macro-systems may be substituted with some “machinic” view.¬ 3. The abandonment of the purely mechanistic view of interfacial forces and the adoption of thermodynamic and probabilistic concepts such as free energy and entropy have been two of the most important steps towards getting out of the worn-out mechanistic notions into more abstract conceptualization of information dispersal, working instead of causality. 4. Comparison also has to be made between hermeneutics of the notion of entropic forces within and without the framework of established thermodynamics. The very word “force” is itself a bit too collocated with entropy already. What we are after is to make it next of kin to ideas of data, information, topology of data, and mereology of stochasticity. 5. The physico-chemical potentiality inside a variety of equilibrium states can be used as a platform for anisotropic configurations whereby not only the entropy of confinement, but also the entropy of dispersal find their true meaning. 6. Within contexts of classical accumulation and energy-growth models, the verifiability of any anisotropic reversal is also demonstrable, if not by means of a set of axioms, at least by multiplicities of interfacial behavior in which experimental data find their mereotopological ratios one in the neighborhood of the other (considering first, for the sake of simplicity, our state spaces to be of metric nature). 7. Thus, there remains the reciprocity of interfacial tensions calculations where surface tension gives rise to internal polarization of those data systems by which we should like to derive either axiomatic or multiple manifoldic regionalization of PREDICTION. 8. This, with a number of Chaotic and Strange-Attractors modifications, can potentially be applied even to the whole matrix of the Universe. 9. Most of the literature on systems (information) entropy regard mesoscopic level as THE one with highest aptitude for (physicalistic) data analysis. However, there are clues to indicate that some of the main streams of structuration and dynamics are EITHER in common amongst microscopic, mesoscopic, and macroscopic systems OR holistic patterns of the said structurations and dynamics can be derived one from the other two. For example, we shall show later—in the course of the unfolding of present notions—that density functional theory (DFT) which has become the physicists’ methodology for describing solids’ electronic structure, can also be extended to other methods or systems. Few-atom systems can implicate the already explicated order of, say, biomolecules if rigorous analyses are carried out over the transition phases (translational data mappings). 10. The level of likelihood of information dispersal in any nano- and pico-systems with/without (full) attachment to and/or dependence upon chemical energy exchange, relates to dynamics of differentials of those multiplicities of tubing interconnector manifolds which potentially have the capacity to harness thermal energy. This spells that consumption of chemical energy does not necessarily always act against the infusion of energy. Here, delineation has to be made over the minutiae of the differences between Micro- and Macro-systems. Any movement of lines of demarcation throughout the said systems over the issue of (non-)interdependency of data mereotopology on chemical energy exchange, may be predicted if classical nucleation and growth theories give their place to an even more rigorous science of Differences. Repetition of (observation) of such Differences makes it possible to see through some of the most “macro” levels of systematicity [we have already run some simulations of micro-spaces’ state mappings for purposes of clarifying how many of the plasma macro jet streams inside stars or in the inter-galaxial space move. Even magneticity has turned out, with all due caution, to be comparable]. The above-said Differences actually refer to potentialities within lines of thermodynamic exchanges based upon anisotropy of information. Such exchanges nominate themselves as MO exchanges when “micro” but as some the most specific gravito-convectional currents in usages for astrology, earth science, and ecology. Thence, the science will be brought out of prognosing the detailed balance of mesoscopic (ir-)reversibility in terms of data neighborhoods connectivity. On any differentiable manifold with its own ring of universal differentiable functions, we may determine to have the “installing” of modules of Kähler spaces where demarcation could be represented by: d(a+b)=da+db, d(ab)=adb+bda, and: dλ=0(a,b∈A,λ∈k)d(a+b)=da+db,d(ab)=adb+bda,dλ=0(a,b∈A,λ∈k) Where any one module has the formalism: dbdb (b∈Ab∈A). All these having been said, again we have the problematics of still remaining within the realm of classic calculus. It is likely that for Macrosystems we may decide not to apply the classical version.
Translations for manifold
From our Multilingual Translation Dictionary
- varieta, rozmnožitCzech
- Verteiler, mannigfaltig, vielfältig, MannigfaltigkeitGerman
- πολυσωλήνας, πολύμορφος, πολύπτυχος, πολυειδής, πολυχώρος, πολλαπλόςGreek
- colector, variedad, múltipleSpanish
- יריעה טופולוגיתHebrew
- sokfajta, sokféle, sokszor, sokaságHungarian
- molteplice, varietà, manifesto, multiformeItalian
- talrijk, veelvuldig, variëteit, divers, veelvoudigDutch
- kolektor, rozmaitośćPolish
- variados, múltiplos, variedade, coletorPortuguese
- коллектор, копия, трубопровод, разнообразный, многообразиеRussian
- teksir, çokkatlı, dağıtıcıTurkish
- کئی گناUrdu
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