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**Pre**, often written as **PRE**, is a British noise rock band releasing music on the labels Skin Graft Records and Lovepump United. It is based in London and was formed around 2005 with singer Akiko Matsuura, known for taking the stage in only her underwear and extensive stage diving. Pre includes former members of Todd and Seafood. Guitar player John Webb is also a member of the noise rock band Male Bonding along with Kevin Hendrick.

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**PRE-084** is a sigma receptor agonist, selective for the σ_{1} subtype. It has nootropic and antidepressant actions in animal studies, as well as antitussive and reinforcing effects. PRE-084 increases the expression of GDNF.

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The **HP Pre 3**, styled as **Pre ^{3}** /ˈpriː/, is a touchscreen slider smartphone manufactured by Hewlett-Packard. The device uses webOS, is powered by a Qualcomm Snapdragon processor, and has a 3.6-inch screen. It is conceptually the successor to the Palm Prē 2 and earlier Prē and Prē Plus models.

The HP Pre 3 was announced on February 9, 2011, at the HP webOS "Think Beyond" event held at the Fort Mason Center in San Francisco alongside the Veer and TouchPad. It was commercially released in the United Kingdom on August 17, 2011.

The device supports a new Touch-to-Share proximity-based sharing feature, which allows compatible devices (such as the TouchPad) to instantly exchange data, media, and information via Bluetooth. The Pre 3 has 802.11 a/b/g/n Wi-Fi, 512 MB of RAM, 8 GB internal storage, Bluetooth v2.1, and a 1230 mAh battery. A 16 GB model was manufactured for AT&T and Verizon in the United States, both models were never released to the general public.

The Pre 3 was released on August 17, 2011, in the United Kingdom. The next day, August 18, HP announced that it would be discontinuing all webOS devices, including the Pre 3. The phone was never officially released in the United States, although models eventually were sold through the HP employee store in California, and many of those phones ended up on eBay auctions.

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In abstract algebra and formal logic, the **distributive property** of binary operations generalizes the **distributive law** from elementary algebra. In propositional logic, **distribution** refers to two valid rules of replacement. The rules allow one to reformulate conjunctions and disjunctions within logical proofs.

For example, in arithmetic:

In the left-hand side of the first equation, the 2 multiplies the sum of 1 and 3; on the right-hand side, it multiplies the 1 and the 3 individually, with the products added afterwards.
Because these give the same final answer (8), it is said that multiplication by 2 *distributes* over addition of 1 and 3.
Since one could have put any real numbers in place of 2, 1, and 3 above, and still have obtained a true equation, we say that multiplication of real numbers *distributes* over addition of real numbers.

Given a set *S* and two binary operators ∗ and + on *S*, we say that the operation:

∗ is *left-distributive* over + if, given any elements *x*, *y*, and *z* of *S*,

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In probability and statistics, a **probability distribution** assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference. Examples are found in experiments whose sample space is non-numerical, where the distribution would be a categorical distribution; experiments whose sample space is encoded by discrete random variables, where the distribution can be specified by a probability mass function; and experiments with sample spaces encoded by continuous random variables, where the distribution can be specified by a probability density function. More complex experiments, such as those involving stochastic processes defined in continuous time, may demand the use of more general probability measures.

In applied probability, a probability distribution can be specified in a number of different ways, often chosen for mathematical convenience:

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In mathematics and computer science, a **history monoid** is a way of representing the histories of concurrently running computer processes as a collection of strings, each string representing the individual history of a process. The history monoid provides a set of synchronization primitives (such as locks, mutexes or thread joins) for providing rendezvous points between a set of independently executing processes or threads.

History monoids occur in the theory of concurrent computation, and provide a low-level mathematical foundation for process calculi, such as CSP the language of communicating sequential processes, or CCS, the calculus of communicating systems. History monoids were first presented by M.W. Shields.

History monoids are isomorphic to trace monoids (free partially commutative monoids) and to the monoid of dependency graphs. As such, they are free objects and are universal. The history monoid is a type of semi-abelian categorical product in the category of monoids.

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https://wn.com/History_monoid

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