134 Sentences With "iterates" | Random Sentence Generator

What will be interesting to watch is how Nintendo iterates on Labo.

Very rarely are applications released in a complete form that never iterates.

It iterates and comes up with new weird ways to communicate information.

I hope that Google iterates quickly on both portrait mode and Motion Photos.

Overall, I am deeply impressed with how Builders 2 iterates on the original.

Gabrielle Giffords (D-Ariz.), iterates similar measures as Everytown as reliable approaches to reducing gun violence.

So, as it does with everything it touches, Apple continually iterates and refines on iOS's accessibility features over time.

Language iterates too quickly, especially among young people, for even sophisticated machine-translation services to keep up, Brizan said.

"Acacia refutes each set of findings and re-iterates that it has fully declared all revenues," the company said.

All these are open questions and Google is changing the answers day by day as it furiously iterates the Assistant.

In order to make its efficiency advancements, Mercedes constantly iterates on its designs through a mix of simulation and experimentation.

Apple iterates quickly and consistently in mobile because the rate of technological progress is so much more dramatic in that arena.

" As the orchestra reaches a climax, with sweeping woodwind flourishes, Anthony iterates: "They will they will, they will have the vote.

Take pictures of the seats and learns, and it iterates, and it gets better and smarter, and make us ... So it rejects this ... Yeah.

The newest MacBook Air iterates on the 2018 design with more powerful hardware for a drop in price, making it our favorite laptop from Apple.

Samsung didn't specify exactly when in 2016 the update was coming, but considering the speed at which it iterates its products, it will likely happen before summer.

An example of this is how Nest not only iterates on individual products, but thinks about complementary devices that will ultimately contribute to a smarter, more connected, home.

That horrific fatal police shooting in Dallas, involving an officer's confrontation with a schizophrenic man holding a screwdriver, iterates what many viewers already know: The system is broken.

Hibert iterates by sketching each piece, tests it on the computer to nail the colors and ratios, then either carbon copy draws or projects the design onto canvas.

"Amundi re-iterates that its acquisition policy adheres to strict financial criteria, in particular, a return on investment greater than 10 percent over a three-year horizon," it said.

For all of Twitter's talk about fundamentally rethinking every aspect of the site, in practice it mostly just lightly iterates on a feature set that has existed for a decade.

In his project statement, Nado iterates that every piece of the typewriters were re-incorporated into the guns, an almost eerie vein of sustainability given how convincingly dangerous these sculptures look.

Lenovo has just announced what it says is the world's first "foldable PC:" a prototype ThinkPad that iterates the foldable tech we've already seen from phones on a much bigger scale.

But the real win for the app is that it will be able to deliver firmware updates to the products themselves as PAX Labs iterates on them during their life cycles.

It's automation, robotics, AI, artificial intelligence, changes in driving, in terms of transportation, in healthcare, delivery, in printing, in manufacturing, it just goes ... it iterates through the system, in a way that people ... Absolutely.

Collaboration helps us increase the pace of innovation, and these types of partnerships continue to play a key role as Facebook iterates and develops next-generation technologies to connect communities when they need it most.

Google Maps iterates constantly in search of the perfect commute; Gmail adds automatic replies to speed up your inbox; Google Photos absorbs all the pictures on your phone and uses machine learning to understand their contents and make them searchable.

"While the unprecedented challenges faced by the Company have resulted in the Board not recommending a dividend for 2018, the Group re-iterates its commitment to the previously announced long-term dividend policy and to maximizing shareholder value," Vladimir Kiriukhin, En+ chief executive, said in a statement.

The issue surrounding flies and other unsanitary conditions at VA medical centers around the country adds a disturbing element to an already abysmal history of delayed care for veterans and further iterates the point that strong leadership is necessary to steer the Department away from disaster.

It seems like, it sounds crazy, but if you look across the entrepreneurial landscape, there's been no innovation in social media forever, forever, since 2011 with Snapchat, and they remain, as I've always said, the product arm of Facebook, because Facebook just steals their ideas and just iterates them.

While the nostalgia that was part of the early interest in Pokémon Go might fade away as more waves of people come to play the game, it will be interesting to see how Niantic iterates it to keep users sticking around — or, indeed, if people's interest will remain beyond this early flush.

There are many brief vignettes, several of which Mr. Morris iterates during the work, that shrewdly conjure aspects of late-1960s life and art: a lift in which the dancer seems to be driving a car, the chic pop dances of the day, the Buddhist postures that become newly modish, and many more.

It is the influence of drugs, the many visual instances of them in the work — a bag of shrooms or the glass bottles that indicate the extraction of DMT — and the artist's use of them as a titular reference point from "We Ate the Acid" and the alpha-numeric that iterates the statement in reverse, to LSD WORLDPEACE at Slow Culture that opens the work, justly or unjustly, to mockery.

Here's a quick history of the iPad: 212.9: iPad launches with big bulging back 210.5: iPad 3.53 arrives and cuts the thickness by 23.5 percent 212: iPad 12 adds Retina display, bulks back up a little in thickness, but otherwise still looks just like an iPad 2 2013: iPad Air is first redesign since iPad 2 and comes with slimmer bezels and softer, rounder edges 2014: iPad Air 2 iterates on predecessor by losing more weight and slimming down some more 2015: Apple introduces 123-inch iPad Pro with Apple Pencil support.

Three seasons later and it has devolved an approach that takes the fabrics and forms of the past and iterates them forward: a butterfly print Mr. Alaïa created in 1991 (he used to love to watch the National Geographic channel while he worked into the night) transformed into a long, sheer lace gown; a double-breasted wool riding jacket from 1986 with a wide collar and a twisted peplum at the waist, almost as if a cardigan were tied behind, still uncompromising in its combination of rigor and sensuality; a python print melded seamlessly with a floral design in one of his classic knit dresses with wide funnel neck.

We do not use the standard formula for solving quadratic equations because that may lead to loss of significance. Note that xk can be complex, even if the previous iterates were all real. This is in contrast with other root-finding algorithms like the secant method, Sidi's generalized secant method or Newton's method, whose iterates will remain real if one starts with real numbers. Having complex iterates can be an advantage (if one is looking for complex roots) or a disadvantage (if it is known that all roots are real), depending on the problem.

The central design cycle iterates between the core activities of building and evaluating the design artifacts and processes of the research.

Barrier methods constitute an alternative class of algorithms for constrained optimization. These methods also add a penalty-like term to the objective function, but in this case the iterates are forced to remain interior to the feasible domain and the barrier is in place to bias the iterates to remain away from the boundary of the feasible region.

Proposed by Luus and Jaakola, LJ generates a sequence of iterates. The next iterate is selected from a sample from a neighborhood of the current position using a uniform distribution. With each iteration, the neighborhood decreases, which forces a subsequence of iterates to converge to a cluster point. Luus has applied LJ in optimal control, transformer design, metallurgical processes, and chemical engineering.

In some cases the iterates converge but do not converge as quickly as promised. In these cases simpler methods converge just as quickly as Newton's method.

Typically one labels two horizontal layers of the tiling and then uses the basic rule to let the labels propagate dynamically. Max Glick used the cluster algebra formalism to find formulas for the iterates of the pentagram map in terms of alternating sign matrices. These formulas are similar in spirit to the formulas found by David P. Robbins and Harold Rumsey for the iterates of the octahedral recurrence. right Alternatively, the following construction relates the octahedral recurrence directly to the pentagram map.

Created by Celeste Paul, The Modified-Delphi card sort is based on the Delphi method. Rather than each participant creating their own card sort, only the first participant does a full card sort of organizing and arranging items. The next participant iterates on the first participant's model, then the third participant iterates on the second's model, and so on. The idea is that with each iteration the card sort gets more refined with fewer participants and consensus is built sooner.

The equation is called homogeneous if and nonhomogeneous if . Since the longest time lag between iterates appearing in the equation is , this is an th order equation, where could be any positive integer. When the longest lag is specified numerically so does not appear notationally as the longest time lag, is occasionally used instead of to index iterates. In the most general case the coefficients and could themselves be functions of ; however, this article treats the most common case, that of constant coefficients.

The following numerical procedure simply iterates to produce the solution vector. def jacobi(A, b, x_init, epsilon=1e-10, max_iterations=500): D = np.diag(np.diag(A)) LU = A - D x = x_init for i in range(max_iterations): D_inv = np.diag(1 / np.

In mathematics, a recurrent point for a function f is a point that is in its own limit set by f. Any neighborhood containing the recurrent point will also contain (a countable number of) iterates of it as well.

The closed arguments are provided at the time of agent definition. For example, if `action2` has two arguments, the iteration my_list.do_all (agent action2 (?, y)) iterates `action2 (x, y)` for successive values of `x`, where the second argument remains set to `y`.

For many complex functions, the boundaries of the basins of attraction are fractals. In some cases there are regions in the complex plane which are not in any of these basins of attraction, meaning the iterates do not converge. For example, if one uses a real initial condition to seek a root of , all subsequent iterates will be real numbers and so the iterations cannot converge to either root, since both roots are non-real. In this case almost all real initial conditions lead to chaotic behavior, while some initial conditions iterate either to infinity or to repeating cycles of any finite length.

Thus, for discrete dynamical systems the iterates \tau^n=\tau \circ \tau \circ \cdots\circ\tau for integer n are studied. For continuous dynamical systems, the map τ is understood to be a finite time evolution map and the construction is more complicated.

To solve problems, researchers may use algorithms that terminate in a finite number of steps, or iterative methods that converge to a solution (on some specified class of problems), or heuristics that may provide approximate solutions to some problems (although their iterates need not converge).

If the coefficients are polynomials in the equation is called a linear recurrence equation with polynomial coefficients. The solution of such an equation is a function of , and not of any iterate values, giving the value of the iterate at any time. To find the solution it is necessary to know the specific values (known as initial conditions) of of the iterates, and normally these are the iterates that are oldest. The equation or its variable is said to be stable if from any set of initial conditions the variable's limit as time goes to infinity exists; this limit is called the steady state.

From Ma Bu, stepping to the side with either leg effects a transition to Zuo Pan Bu. Using the other leg, the next step to the side returns the practitioner to Ma Bu and the process iterates. The overall effect is rapid movement to one side.

The following shows several D capabilities and D design trade-offs in a short program. It iterates over the lines of a text file named `words.txt`, which contains a different word on each line, and prints all the words that are anagrams of other words. import std.

Because of the simple nature of the dynamics when the iterates are viewed in binary notation, it is easy to categorize the dynamics based on the initial condition: If the initial condition is irrational (as almost all points in the unit interval are), then the dynamics are non-periodic—this follows directly from the definition of an irrational number as one with a non-repeating binary expansion. This is the chaotic case. If x0 is rational the image of x0 contains a finite number of distinct values within [0, 1) and the forward orbit of x0 is eventually periodic, with period equal to the period of the binary expansion of x0. Specifically, if the initial condition is a rational number with a finite binary expansion of k bits, then after k iterations the iterates reach the fixed point 0; if the initial condition is a rational number with a k-bit transient (k ≥ 0) followed by a q-bit sequence (q > 1) that repeats itself infinitely, then after k iterations the iterates reach a cycle of length q.

In mathematics, the Opial property is an abstract property of Banach spaces that plays an important role in the study of weak convergence of iterates of mappings of Banach spaces, and of the asymptotic behaviour of nonlinear semigroups. The property is named after the Polish mathematician Zdzisław Opial.

The appearance of complex values in interpolation methods can be avoided by interpolating the inverse of f, resulting in the inverse quadratic interpolation method. Again, convergence is asymptotically faster than the secant method, but inverse quadratic interpolation often behaves poorly when the iterates are not close to the root.

The second definition clarified the meaning of the topological entropy: for a system given by an iterated function, the topological entropy represents the exponential growth rate of the number of distinguishable orbits of the iterates. An important variational principle relates the notions of topological and measure-theoretic entropy.

Kneading theory provides an effective calculus for describing the qualitative behavior of the iterates of a piecewise monotone mapping f of a closed interval I of the real line into itself. Some quantitative invariants of this discrete dynamical system, such as the lap numbers of the iterates and the Artin–Mazur zeta function of f are expressed in terms of certain matrices and formal power series. The basic invariant of f is its kneading matrix, a rectangular matrix with coefficients in the ring \Zt of integer formal power series. A closely related kneading determinant is a formal power series : D(t) = 1 + D_1 t + D_2 t^2 + \cdots\, with odd integer coefficients.

However, we can embed the same sequence in a three-dimensional state space, in order to investigate the deeper structure of the map. Figure (b), right, demonstrates this, showing how initially nearby points begin to diverge, particularly in those regions of corresponding to the steeper sections of the plot. This stretching-and-folding does not just produce a gradual divergence of the sequences of iterates, but an exponential divergence (see Lyapunov exponents), evidenced also by the complexity and unpredictability of the chaotic logistic map. In fact, exponential divergence of sequences of iterates explains the connection between chaos and unpredictability: a small error in the supposed initial state of the system will tend to correspond to a large error later in its evolution.

In the second step select rules, the inference engine prioritizes the various rules that were matched to determine the order to execute them. In the final step, execute rules, the engine executes each matched rule in the order determined in step two and then iterates back to step one again. The cycle continues until no new rules are matched.

This is useful for getting an interactive preview of the scene. Also, the user can stop the iterations once the image looks good enough, rather than wait for the computation to numerically converge. As the algorithm iterates, light can be seen to flow into the scene, as multiple bounces are computed. Individual patches are visible as squares on the walls and floor.

Iterative solutions are another method used to solve the problem of error propagation. One example of an iterative solution is a program based on minimizing . As the program iterates, it will converge on a solution to independent to the initial robot orientation of . Solutions can also be two-step iterative processes, and like simultaneous solutions can also decompose the equations into dual quaternions.

Enumerating the Sudoku solutions breaks into an initial setup stage and then into two nested loops. Initially all the valid Band1 permutations are grouped into equivalence classes, who each impose a common constraint on the Band2,3 completions. For each of the Band1 equivalence classes, all possible Band2,3 solutions need to be enumerated. An outer Band1 loop iterates over the 44 equivalence classes.

A graphical example of insertion sort. The partial sorted list (black) initially contains only the first element in the list. With each iteration one element (red) is removed from the "not yet checked for order" input data and inserted in-place into the sorted list. Insertion sort iterates, consuming one input element each repetition, and growing a sorted output list.

This basic research process iterates until one runs out of new ideas for refuting the explanation. Stopping to write up results is the next step. These developments are merged into a wider stream of his past research work and where feasible, the relevant literatures. Because of the importance he places on counterexamples, he eschews the use of mathematical statistics in favor of strong inference.

When Danny is released from the hospital, he and Steve have a conversation revealing that Steve is leaving the island, which re-iterates the fact that he needs peace. The two share their goodbyes. As Steve says bye to his dog, Eddie, the rest of Five-0 shows up to say goodbye. Before he leaves, Steve puts Lincoln in charge of the Five-0 task force.

This process iterates as necessary in order to produce a rule that matches the dataset as closely as possible. When this rule is obtained, it is then checked against the test dataset. If the rule still matches the data, then the rule is valid and is kept. If it does not match the data, then it is discarded and the process begins by selecting random rules again.

More generally, for any sufficiently differentiable functions f and g : S(f \circ g) = \left( S(f)\circ g\right ) \cdot(g')^2+S(g). This makes the Schwarzian derivative an important tool in one-dimensional dynamics Weisstein, Eric W. "Schwarzian Derivative." From MathWorld—A Wolfram Web Resource. since it implies that all iterates of a function with negative Schwarzian will also have negative Schwarzian.

Conformal cyclic cosmology (CCC) is a cosmological model in the framework of general relativity, advanced by the theoretical physicist Roger Penrose. In CCC, the universe iterates through infinite cycles, with the future timelike infinity of each previous iteration being identified with the Big Bang singularity of the next. Penrose popularized this theory in his 2010 book Cycles of Time: An Extraordinary New View of the Universe.

Founded in 2002, Dimagi Inc. is a software social enterprise that develops scalable, open source ICT solutions for low-resource settings. Dimagi has performed technical strategy, systems design, software development, and research for 100+ projects worldwide, and its core product suite supports thousands of Frontline Workers in over 40 countries. Dimagi rapidly iterates and adapts its technologies to the local environment, creating appropriate, scalable, and sustainable solutions.

Depending on the initial conditions, even with all roots real the iterates can experience a transitory tendency to go above and below the steady state value. But true cyclicity involves a permanent tendency to fluctuate, and this occurs if there is at least one pair of complex conjugate characteristic roots. This can be seen in the trigonometric form of their contribution to the solution equation, involving and .

Solution and Pattern A Compositor class will encapsulate the algorithm used to format a composition. Compositor is a subclass of the primitive object of the document's structure. A Compositor has an associated instance of a Composition object. When a Compositor runs its `Compose()`, it iterates through each element of its associated Composition, and rearranges the structure by inserting Row and Column objects as needed.

Each Iterator is given a reference to a specific algorithm (such as spell check, grammar check, etc.). When that Iterator iterates through its collection, it calls each element's `CheckMe`, passing the specified algorithm. `CheckMe` then passes a reference to its element back to said algorithm for analysis. Thus, to perform a spell check, a front-to-end iterator would be given a reference to a `SpellCheck` object.

The asymptotic behaviour is very good: generally, the iterates xn converge fast to the root once they get close. However, performance is often quite poor if the initial values are not close to the actual root. For instance, if by any chance two of the function values fn−2, fn−1 and fn coincide, the algorithm fails completely. Thus, inverse quadratic interpolation is seldom used as a stand-alone algorithm.

An iterative hash function breaks up a message into blocks of a fixed size and iterates over them with a compression function. For example, SHA-256 operates on 512-bit blocks. The size of the output of HMAC is the same as that of the underlying hash function (e.g., 256 and 512 bits in the case of SHA-256 and SHA-512, respectively), although it can be truncated if desired.

The iterates of the pentagram map shrink any convex polygon exponentially fast to a point. This is to say that the diameter of the nth iterate of a convex polygon is less than K a^n for constants K>0 and 0 which depend on the initial polygon. Here we are taking about the geometric action on the polygons themselves, not on the moduli space of projective equivalence classes of polygons.

"Effective demand" iterates that consumers purchase more or less of a good depending on the price a firm charges for it. Malthus' idea suggests that the amount of goods supplied may be a result of the demand. Furthermore, Malthus argues that the economy tends to move towards recessions because productivity often grows more quickly than demand. Malthus suggests increasing government spending and private investment on luxuries to cure recessions.

The operation count takes a pattern and returns the number of occurrences of that pattern in the original text . Since the rows of matrix are sorted, and it contains every suffix of , the occurrences of pattern will be next to each other in a single continuous range. The operation iterates backwards over the pattern. For every character in the pattern, the range that has the character as a suffix is found.

More specifically, a system for which a discrete unit time step amounts to , can have its smooth orbit (or flow) reconstructed from the solution of the above Schröder's equation, its conjugacy equation. That is, . In general, all of its functional iterates (its regular iteration group, see iterated function) are provided by the orbit for real — not necessarily positive or integer. (Thus a full continuous group.) The set of , i.e.

Cavala threatens to kill Mark Pol, who re-iterates that Cavala cannot trust himself as he is a 'rapist' and it is probably Cavala himself who raped Delage. Cavala leaves Mark Pol, thinking that indeed it might be possible. However, he runs into Delage and she has her head. It transpires that his betrothed headless Delage has been pretending to be the real Delage but has genuinely fallen in love with him anyway.

This will have the exact opposite effects from above, increasing the number of proposed purchases and decreasing the number of proposed sales. This process iterates until a fix is found. Buyers are charged 20 cents per troy ounce as a premium to fund the fix process; this results in an implicit bid-offer spread. As with other forms of market making, participants attempt to predict the direction of the market and increase profits through timing.

The Full Brevity algorithm always finds a minimal distinguishing description meaning there is no shorter distinguishing description in regard to properties used. Therefore, it iterates over n=1,2,3,4,... and checks every description of a length of n properties until a distinguishing description is found. Two problems arise from this way of creating referring expressions. Firstly the algorithm has a high complexity meaning it is NP-hard which makes it impractical to use.

Timsort was designed to take advantage of runs of consecutive ordered elements that already exist in most real-world data, natural runs. It iterates over the data collecting elements into runs and simultaneously putting those runs in a stack. Whenever the runs on the top of the stack match a merge criterion, they are merged together. This goes on until all data is traversed; then, all runs are merged two at a time and only one sorted run remains.

Superfunctions, usually the superexponentials, are proposed as a fast-growing function for an upgrade of the floating point representation of numbers in computers. Such an upgrade would greatly extend the range of huge numbers which are still distinguishable from infinity. Other applications include the calculation of fractional iterates (or fractional powers) of a function. Any holomorphic function can be identified to a transfer function, and then its super-functions and corresponding Abel functions can be considered.

Michelangelo re-iterates his neo- Platonic love for Cavalieri when in the first line of the sonnet he states "Love is not always a harsh and deadly sin." In the sonnet G.41 Michelangelo states that Tommaso is all that can be. He represents pity, love and piety. This is seen in the third stanza: :l'amor mi prende e la beltà mi lega; :la pietà, la mercè con dolci sguardi :ferma speranz' al cor par che ne doni.

Ungi is returned to the village by the NGO nona after having been sexually assaulted. As crippled Ukkuva and Ungi, who was forced into woman-hood, are sleeping side by side, Komala leaves her two children and disappears beneath the waves of the poisoned lake. The rain is falling down very hard in the night. Near the mass grave site, Army Ajith re- iterates the verses his father-in-law, “Gam Bhara Attho”, used to say.

Hyperarithmetical theory studies those sets that can be computed from a computable ordinal number of iterates of the Turing jump of the empty set. This is equivalent to sets defined by both a universal and existential formula in the language of second order arithmetic and to some models of Hypercomputation. Even more general recursion theories have been studied, such as E-recursion theory in which any set can be used as an argument to an E-recursive function.

In applied mathematics, Basin-hopping is a global optimization technique that iterates by performing random perturbation of coordinates, performing local optimization, and accepting or rejecting new coordinates based on a minimized function value. The algorithm was described in 1997 by David J. Wales and Jonathan Doye. It is a particularly useful algorithm for global optimization in very high-dimensional landscapes, such as finding the minimum energy structure for molecules. Inspired from Monte-Carlo Minimization first suggested by Li and Scheraga.

Relatively simple to implement and understand, the two-pass algorithm, (also known as the Hoshen–Kopelman algorithm) iterates through 2-dimensional binary data. The algorithm makes two passes over the image. The first pass to assign temporary labels and record equivalences and the second pass to replace each temporary label by the smallest label of its equivalence class. The input data can be modified in situ (which carries the risk of data corruption), or labeling information can be maintained in an additional data structure.

Autodesk estimates that in 1998 there were in excess of two billion DWG files in existence. There are several claims to control of the DWG format.DWG: The Registration Attempts & Successes from WorldCAD Access As the biggest and most influential creator of DWG files it is Autodesk who designs, defines, and iterates the DWG format as the native format for their CAD applications. Autodesk sells a read/write library, called RealDWG,Autodesk - Developer Center - RealDWG under selective licensing terms for use in non-competitive applications.

The buffer extraction process for block sort. The two internal buffers needed for each level of the merge step are created by moving the first 2 instances of each value within an subarray to the start of . First it iterates over the elements in and counts off the unique values it needs, then it applies array rotations to move those unique values to the start. If A did not contain enough unique values to fill the two buffers (of size each), can be used just as well.

The algorithm starts with a completely unresolved tree, whose topology corresponds to that of a star network, and iterates over the following steps until the tree is completely resolved and all branch lengths are known: # Based on the current distance matrix calculate the matrix Q (defined below). # Find the pair of distinct taxa i and j (i.e. with i eq j) for which Q(i,j) has its lowest value. These taxa are joined to a newly created node, which is connected to the central node.

Nair proved a convergence analysis. For twice continuously differentiable functions, the LJ heuristic generates a sequence of iterates having a convergent subsequence. For this class of problems, Newton's method is the usual optimization method, and it has quadratic convergence (regardless of the dimension of the space, which can be a Banach space, according to Kantorovich's analysis). The worst-case complexity of minimization on the class of unimodal functions grows exponentially in the dimension of the problem, according to the analysis of Yudin and Nemirovsky, however.

A common source of such sensitivity to initial conditions is that the map represents a repeated folding and stretching of the space on which it is defined. In the case of the logistic map, the quadratic difference equation describing it may be thought of as a stretching-and-folding operation on the interval . The following figure illustrates the stretching and folding over a sequence of iterates of the map. Figure (a), left, shows a two-dimensional Poincaré plot of the logistic map's state space for , and clearly shows the quadratic curve of the difference equation ().

"The Queen's Justice" is the third episode of the seventh season of HBO's fantasy television series Game of Thrones, and the 63rd overall. The episode was written by series co-creators David Benioff and D. B. Weiss, and directed by Mark Mylod. At Dragonstone, Jon Snow and Davos Seaworth meet with Daenerys Targaryen, from whom Jon asks for aid in defeating the White Walkers, but Daenerys iterates her desire to take the Iron Throne instead. In King's Landing, Euron Greyjoy returns bearing gifts to Cersei Lannister, in the form of Ellaria Sand and Tyene Sand.

Following a path in a graph is an inherently serial operation, but pointer jumping reduces the total amount of work by following all paths simultaneously and sharing results among dependent operations. Pointer jumping iterates and finds a successor — a vertex closer to the tree root — each time. By following successors computed for other vertices, the traversal down each path can be doubled every iteration, which means that the tree roots can be found in logarithmic time. Pointer doubling operates on an array `successor` with an entry for every vertex in the graph.

A genetic algorithm was developed described in reference that iterates multiple thermal traces and compares them with the results from thermal simulator to find the best power correlation. The first step is to measure the temperature using IR camera and within the oil coolant that flows over the top of the chip surface, the detailed setup information is described in reference. Oil is chosen because of ease in modeling and accuracy. The infrared cameras must be calibrated to compensate for different material thermal emissions, lens configurations, and other factors in reference.

Let (M,φ) be a discrete dynamical system. A basic method of studying its dynamics is to find a symbolic representation: a faithful encoding of the points of M by sequences of symbols such that the map φ becomes the shift map. Suppose that M has been divided into a number of pieces E1,E2,…,Er, which are thought to be as small and localized, with virtually no overlaps. The behavior of a point x under the iterates of φ can be tracked by recording, for each n, the part Ei which contains φn(x).

With adjustments for velocity changes, the initial estimate of the hypocenter is made, then a series of linear equations is set up, one for each station. The equations express the difference between the observed arrival times and those calculated from the initial estimated hypocenter. These equations are solved by the method of least squares which minimizes the sum of the squares of the differences between the observed and calculated arrival times, and a new estimated hypocenter is computed. The system iterates until the location is pinpointed within the margin of error for the velocity computations.

It is possible to refresh a RAM chip by opening and closing (activating and precharging) each row in each bank. However, to simplify the memory controller, SDRAM chips support an "auto refresh" command, which performs these operations to one row in each bank simultaneously. The SDRAM also maintains an internal counter, which iterates over all possible rows. The memory controller must simply issue a sufficient number of auto refresh commands (one per row, 8192 in the example we have been using) every refresh interval (tREF = 64 ms is a common value).

The algorithm first iterates over all non leaf unit clauses and then over all non ancestor nodes of the proof. If the node's pivot element is the variable of the present unit clause's literal, one of the parent nodes can be replaced by the node corresponding to the unit clause. Because of the above assumption, if the literal is equal to the pivot, the left parent contains the literal and can be replaced by the unit clause node. If the literal is equal to the negation of the pivot the right parent is replaced.

The Milnor–Thurston kneading theory is a mathematical theory which analyzes the iterates of piecewise monotone mappings of an interval into itself. The emphasis is on understanding the properties of the mapping that are invariant under topological conjugacy. The theory had been developed by John Milnor and William Thurston in two widely circulated and influential Princeton preprints from 1977 that were revised in 1981 and finally published in 1988. Applications of the theory include piecewise linear models, counting of fixed points, computing the total variation, and constructing an invariant measure with maximal entropy.

Fixed Point Theory, An Introduction, D. Reidel, Holland. . When the points of the orbit converge to one or more limits, the set of accumulation points of the orbit is known as the limit set or the ω-limit set. The ideas of attraction and repulsion generalize similarly; one may categorize iterates into stable sets and unstable sets, according to the behaviour of small neighborhoods under iteration. (Also see Infinite compositions of analytic functions.) Other limiting behaviours are possible; for example, wandering points are points that move away, and never come back even close to where they started.

Ignoring work done in recursive subproblems the total amount of work done in a single invocation of the algorithm is linear in the number of edges in the input graph. Step 1 takes constant time. Borůvka steps can be executed in time linear in the number of edges as mentioned in the Borůvka step section. Step 3 iterates through the edges and flips a single coin for each one so it is linear in the number of edges. Step 4 can be executed in linear time using a modified linear time minimum spanning tree verification algorithm.

For instance, instead of listing all countries and their neighbors explicitly in the source code, one may have an array of countries, an array of decision variables representing the color of each country, and an array `boolean[][] neighboring` or a predicate (a boolean function) `boolean isNeighbor()`. constraints { forall(Country c1 : countries, Country c2 : countries, :isNeighbor(c1,c2)) { color[c1] != color[c2]; } } `Country c1 : countries` is a generator: it iterates `c1` over all the values in the collection `countries`. `:isNeighbor(c1,c2)` is a filter: it keeps only the generated values for which the predicate is true (the symbol `:` may be read as "if").

The second phase uses a modified MaxSub algorithm: a single 7 reside aligned pair in each proteins is used to orient the two full length protein structures to maximally superimpose these just these 7 C-alpha, then in this orientation it scans for any additional aligned pairs that are close in 3D. It re-orients the structures to superimpose this expanded set and iterates till no more pairs coincide in 3D. This process is restarted for every 7 residue window in the seed alignment. The output is the maximal number of atoms found from any of these initial seeds.

The size of each block is also adjusted to be smaller in the case where it found unique values but not 2, which further limits the number of unique values contained within any A or B block. Tagging the A blocks is performed times for each A subarray, then the A blocks are rolled through and inserted into the B blocks up to times. The local merges retain the same complexity of a standard merge, albeit with more assignments since the values must be swapped rather than copied. The linear search for finding the new minimum A block iterates over blocks times.

My Friend Pedro involves the player traversing a variety of themed levels while killing enemies, at the behest of a talking banana named Pedro.My Friend Pedro Review, by Mitchell Saltzman, at IGN; published 20 June 2019; retrieved 20 March 2020 The game iterates on the gameplay featured in the flash game, including similar controls, mechanics and weaponry. Along with the ability to slow time, the player can now kick objects or enemies, split their aim between targets and dodge bullets by spinning. The game also features parkour elements such as flips, wall jumps and rolls, which can be used to increase the number of points awarded.

An American flag sort is an efficient, in-place variant of radix sort that distributes items into buckets. Non-comparative sorting algorithms such as radix sort and American flag sort are typically used to sort large objects such as strings, for which comparison is not a unit-time operation. American flag sort iterates through the bits of the objects, considering several bits of each object at a time. For each set of bits, American flag sort makes two passes through the array of objects: first to count the number of objects that will fall in each bin, and second to place each object in its bucket.

An off-by-one error or off-by-one bug (known by acronyms OBOE, OBO, OB1 and OBOB) is a logic error involving the discrete equivalent of a boundary condition. It often occurs in computer programming when an iterative loop iterates one time too many or too few. This problem could arise when a programmer makes mistakes such as using "is less than or equal to" where "is less than" should have been used in a comparison, or fails to take into account that a sequence starts at zero rather than one (as with array indices in many languages). This can also occur in a mathematical context.

The declaration is based on an environmental framework present within the principles of Islam, and is part of faith-based climate activism. Its core stems from the essence of a body of ethics known as the Knowledge of Creation (Ilm ul khalq), which is based on the Holy Qur’an. It is part of a spiritual fight against climate change, alongside similar calls by the Catholic Pope and other religious figures. The Islamic Climate Change Declaration iterates a call to reject human greed for natural resources, have respect for “perfect equilibrium” of nature, and focused on the need for recognition of the “moral obligation” towards conservation.

When f acts in D without fixed points, Wolff showed that there is a point z on the boundary such that the iterates of f leave invariant each disk tangent to the boundary at that point. Take a sequence r_k increasing to 1 and set :f_k(z)=r_kf(z). By applying Rouché's theorem to f_k(z) - z and g(z)=z, f_k has exactly one zero z_k in D. Passing to a subsequence if necessary, it can be assumed that z_k\rightarrow z. The point z cannot lie in D, because, by passing to the limit, z would have to be a fixed point.

Moreover, in those nonlinear systems showing chaotic behavior, the evolution of the variables exhibits sensitive dependence on initial conditions: the iterated values of any two very nearby points on the same strange attractor, while each remaining on the attractor, will diverge from each other over time. Thus even on a single attractor the precise values of the initial conditions make a substantial difference for the future positions of the iterates. This feature makes accurate simulation of future values difficult, and impossible over long horizons, because stating the initial conditions with exact precision is seldom possible and because rounding error is inevitable after even only a few iterations from an exact initial condition.

The episode was independently released on DVD along with two other religion-themed episodes from the series. Over the seasons Kyle has addressed topics such as brotherhood, excessive litigation, hate crime legislation, civil liberties, profanity in television, hybrid vehicle ownership, and the economy. In the season 10 (2006) episode "Cartoon Wars Part II", Kyle expresses his opinions on censorship, and iterates Parker and Stone's sentiments on the topic by telling a television executive "Either it's all okay, or none of it is" in regard to whether any subject should remain off-limits to satire. To Parker and Stone's disappointment, the episode received more attention for its criticism of the show Family Guy than it did for Kyle's proclamation.

One approach to the problem, imitating the way children choose teams for a game, is the greedy algorithm, which iterates through the numbers in descending order, assigning each of them to whichever subset has the smaller sum. This approach has a running time of . This heuristic works well in practice when the numbers in the set are of about the same size as its cardinality or less, but it is not guaranteed to produce the best possible partition. For example, given the set S = {4, 5, 6, 7, 8} as input, this greedy algorithm would partition into subsets {4, 5, 8} and {6, 7}; however, S has an exactly balanced partition into subsets {7, 8} and {4, 5, 6}.

Thus on the basis of the current estimate for the parameters, the conditional probability for a given observation x(t) being generated from state s is determined for each ; N being the sample size. The parameters are then updated such that the new component weights correspond to the average conditional probability and each component mean and covariance is the component specific weighted average of the mean and covariance of the entire sample. Dempster also showed that each successive EM iteration will not decrease the likelihood, a property not shared by other gradient based maximization techniques. Moreover, EM naturally embeds within it constraints on the probability vector, and for sufficiently large sample sizes positive definiteness of the covariance iterates.

While label propagation is surprisingly effective, it may sometimes fail to capture complex relational dynamics. More sophisticated approaches can use richer predictors. Suppose we have a classifier h that has been trained to classify a node v_i given its features X_i and the features X_{N_i} and labels Y_{N_i} of its neighbors N_i. Iterative classification applies uses a local classifier for each node, which uses information about current predictions and ground truth information about the node's neighbors, and iterates until the local predictions converge to a global solution. Iterative classification is an “algorithmic framework,” in that it is agnostic to the choice of predictor; this makes it a very versatile tool for collective classification.

In her essay "Science and Science Criticism," published in 2001 as a chapter of The Gender and Science Reader, Hubbard iterates that she is a scientist and states that "[n]ature is part of history and culture", but not vice versa. She goes on to say that scientists are largely unable to grasp the concept of nature being part of life--- noting how she needed several years to understand the statement. Going into her scientific history, the narrator mentions how she originally never questioned how her efforts fit into society. Narrowing her focus, she exposits that the Vietnam-era women's rights and women's liberation movements helped teach her of the roles of science in society.

For instance, describe an algorithm that sorts the vertices in order from highest degree to lowest and then iterates through each vertex in the sorted list, looking for triangles that include and do not include any previous vertex in the list. To do so the algorithm marks all neighbors of , searches through all edges incident to a neighbor of outputting a triangle for every edge that has two marked endpoints, and then removes the marks and deletes from the graph. As the authors show, the time for this algorithm is proportional to the arboricity of the graph (denoted ) multiplied by the number of edges, which is . Since the arboricity is at most , this algorithm runs in time .

Opusculum "Gratiam itaque Dei" or "The Grace of God" (PL 116:97–100; also 116:101–106) dates around the same period as both the Epistula ad Gothescalcum and Sententiae ex libris Augustini. Found without an attribution, its association with the aforementioned letters implies it was penned either by Amulo or Florus. It emphasises the grace of God and discusses both free will and predestination; it also iterates the promise of salvation for Christians and references the work of St Augustine. Opusculum "Omnipotens Deus" or "Almighty God" (849) (PL 116:97–100; also listed under Florus: PL 119:95–102; 125:57–9)“Amulo Lugdunensis,” in Clavis des auteurs latins du Moyen Âge, territoire francais, 735–987, vol. 1, ed.

Hence DNA programming is more efficient if multiple variants of a DNA program, also called a DNA library, are created and tested in parallel, rather than creating and testing just one program at a time. Hence the basic DNA programming cycle, when operating in full steam, takes the best DNA programs from the previous cycle, uses them as a basis for creating a new set of DNA programs, tests them, and iterates until the goal is achieved. Furthermore, Polymerase Chain Reaction (PCR) is the DNA-equivalent of Gutenberg's movable type printing, both allowing large-scale replication of a piece of text. De novo DNA synthesis is the DNA-equivalent of mechanical typesetting; both ease the setting of text for replication.

Theorem. Let D be the open unit disk in C and let f be a holomorphic function mapping D into D which is not an automorphism of D (i.e. a Möbius transformation). Then there is a unique point z in the closure of D such that the iterates of f tend to z uniformly on compact subsets of D. If z lies in D, it is the unique fixed point of f. The mapping f leaves invariant hyperbolic disks centered on z, if z lies in D, and disks tangent to the unit circle at z, if z lies on the boundary of D. When the fixed point is at z = 0, the hyperbolic disks centred at z are just the Euclidean disks with centre 0.

Finally, with the complete set of link-state advertisements (one from each node in the network) in hand, each node produces the graph for the map of the network. The algorithm iterates over the collection of link-state advertisements; for each one, it makes links on the map of the network, from the node which sent that message, to all the nodes which that message indicates are neighbors of the sending node. No link is considered to have been correctly reported unless the two ends agree; i.e., if one node reports that it is connected to another, but the other node does not report that it is connected to the first, there is a problem, and the link is not included on the map.

As we move forward in the digital age, the binary thinking of the 20th century structuralists remains an important tool in the folklorist's toolbox. This does not mean that binary thinking was invented in recent times along with computers; only that we became aware of both the power and the limitations of the "either/or" construction. In folklore studies, the multiple binaries underlying much of the theoretical thinking have been identified – {dynamicism : conservatism}, {anecdote : myth}, {process : structure}, {performance : tradition}, {improvisation : repetition}, {variation : traditionalism}, {repetition : innovation}; not to overlook the original binary of the first folklorists: {traditional : modern} or {old : new}. Bauman re-iterates this thought pattern in claiming that at the core of all folklore is the dynamic tension between tradition and variation (or creativity).

Service-oriented architecture enables an enterprise architect to rearrange the "form" of the architecture to meet the functional requirements of a business by adopting standards based communication protocols which enable interoperability. Furthermore, domain-driven design postulates that structure (software architecture, design pattern, implementation) should emerge from constraints of the modeled domain (functional requirement). While "form" and "function" may be more or less explicit and invariant concepts to the many engineering doctrines, metaprogramming and the functional programming paradigm lend themselves very well to explore, blur and invert the essence of those two concepts. The agile software development movement espouses techniques such as 'test driven development' in which the engineer begins with a minimum unit of user oriented functionality, creates an automated test for such and then implements the functionality and iterates, repeating this process.

An example of a filter rule from the true-analogy rule set creates match hypotheses between predicates that have the same functor. The true- analogy rule set has an intern rule that iterates over the arguments of any match hypothesis, creating more match hypotheses if the arguments are entities or functions, or if the arguments are attributes and have the same functor. In order to illustrate how the match rules produce match hypotheses consider these two predicates: `transmit torque inputgear secondgear (p1)` `transmit signal switch div10 (p2)` Here we use true analogy for the type of reasoning. The filter match rule generates a match between p1 and p2 because they share the same functor, transmit. The intern rules then produce three more match hypotheses: torque to signal, inputgear to switch, and secondgear to div10.

In December 2006 the government published the Air Transport White Paper Progress Report 2006 to report on progress made in "… delivering a sustainable future for aviation."Air Transport White Paper Progress Report 2006 The report re- iterates the government's commitment to the strategy defined in the original White Paper, stating that it "… strikes the right balance between economic, social and environmental goals."Air Transport White Paper Progress Report 2006, para. 1.2 It also reports that; the extra runway at Edinburgh airport is now thought unlikely to be needed before 2020;Air Transport White Paper Progress Report 2006, para.5.40 Bristol airport does not currently see a case to support extending its runway, although the option will be kept under review;Air Transport White Paper Progress Report 2006 (Annex A), p.

Usually, additional interleaving (on top of the time and frequency interleaving mentioned above) in between the two layers of coding is implemented. The choice for Reed-Solomon coding as the outer error correction code is based on the observation that the Viterbi decoder used for inner convolutional decoding produces short error bursts when there is a high concentration of errors, and Reed-Solomon codes are inherently well suited to correcting bursts of errors. Newer systems, however, usually now adopt near-optimal types of error correction codes that use the turbo decoding principle, where the decoder iterates towards the desired solution. Examples of such error correction coding types include turbo codes and LDPC codes, which perform close to the Shannon limit for the Additive White Gaussian Noise (AWGN) channel.

In 2002, the Higher Education Program and Policy Council of the American Federation of Teachers (AFT) published a statement in support of the shared governance of institutions. The policy statement is a response to the fact that many governing boards have adopted the "mantra of business”. The AFT iterates the purpose by which higher education achieves democratic organizational processes between administration and faculty, believing shared governance is under attack in six ways: # the outsourcing of instruction, particularly to learning technologies; # redirecting teaching to part-time and temporary faculty; # re-orienting curriculum to business oriented coursework; # the buying and selling of courseware for commercial exploitation; # for profit teaching and research; # with the formation of a “commercial consortia with other universities and private investors." Meaning, as many have begun to view education as business, they are not necessarily in the business of education.

The parity sequence is the same as the sequence of operations. Using this form for , it can be shown that the parity sequences for two numbers and will agree in the first terms if and only if and are equivalent modulo . This implies that every number is uniquely identified by its parity sequence, and moreover that if there are multiple Hailstone cycles, then their corresponding parity cycles must be different. Applying the function times to the number will give the result , where is the result of applying the function times to , and is how many increases were encountered during that sequence (e.g. for there are 3 increases as 1 iterates to 2, 1, 2, 1, and finally to 2 so the result is ; for there is only 1 increase as 1 rises to 2 and falls to 1 so the result is ).

The pentagram map, when acting on the moduli space X of convex polygons, has an invariant volume form. At the same time, as was already mentioned, the function f=O_NE_N has compact level sets on X. These two properties combine with the Poincaré recurrence theorem to imply that the action of the pentagram map on X is recurrent: The orbit of almost any equivalence class of convex polygon P returns infinitely often to every neighborhood of P. This is to say that, modulo projective transformations, one typically sees nearly the same shape, over and over again, as one iterates the pentagram map. (It is important to remember that one is considering the projective equivalence classes of convex polygons. The fact that the pentagram map visibly shrinks a convex polygon is irrelevant.) It is worth mentioning that the recurrence result is subsumed by the complete integrability results discussed below.

26) relates how Kṛṣṇa Miśra (c 1050-1100) casts the character of a Kāpālika in his play, the Prabodhacandrodaya and then quotes verbatim a source that renders the creed of this character into English: In Vajrayana poetry, literature and song, particularly that of the 'songs of realization', charnel grounds are often described as containing "rivers of blood", "poisonous waterfalls", and depicted as localities containing dangerous wild beasts. The two truths doctrine though iterates this view and when perceived differently, charnel grounds are peaceful places of beatific solitude and this chthonic symbolism and the twilight language and iconography accrues a rich polysemy. When perceived differently, the charnel grounds are places of 'peace' (Sanskrit: shanti), pleasant groves, populated by wildflowers and fruit. Songbirds, tame lions and tigers, and the vast open vault of the sky, fruit and flowers are often used in Vajrayana iconography and poetry and Beer (1999)Beer, Robert (1999).

1, pp. 109-140. Bestvina and Handel applied the train track techniques to obtain an effective proof of Thurston's classification of homeomorphisms of compact surfaces (with or without boundary) which says that every such homeomorphism is, up to isotopy, either reducible, of finite order or pseudo-anosov. Since then train tracks became a standard tool in the study of algebraic, geometric and dynamical properties of automorphisms of free groups and of subgroups of Out(Fn). Train tracks are particularly useful since they allow to understand long-term growth (in terms of length) and cancellation behavior for large iterates of an automorphism of Fn applied to a particular conjugacy class in Fn. This information is especially helpful when studying the dynamics of the action of elements of Out(Fn) on the Culler-Vogtmann Outer space and its boundary and when studying Fn actions of on real trees.

On the opener, "I Got a Name," with its shimmering African juju guitars that open onto a body of dubbed-out, compressed pianos, multi-layered percussion, and throbbing bass lines, Rux sings, raps, and chants his way through to establish an identity in the African diaspora as it stands tall as its own signifier, the American urban landscape. On "Eleven More Days," the contrast of generations, religions, races, and social statures is played out on subway platforms, playgrounds, slam apartments, prisons, and in the streets. While Rux iterates the terrain and circumstances in his landscape, a stunning gospel refrain sung by a chorus of female voices emphasizes the place of intersection, the place of hope, the place of loss, and even deliverance while contrasting contrapuntal synthetic rhythms slip around bass lines and indeterminate sounds. And while these two selections provide a view, they are by no means the only ones.

While competing methods such as gradient descent for constrained optimization require a projection step back to the feasible set in each iteration, the Frank–Wolfe algorithm only needs the solution of a linear problem over the same set in each iteration, and automatically stays in the feasible set. The convergence of the Frank–Wolfe algorithm is sublinear in general: the error in the objective function to the optimum is O(1/k) after k iterations, so long as the gradient is Lipschitz continuous with respect to some norm. The same convergence rate can also be shown if the sub-problems are only solved approximately. The iterates of the algorithm can always be represented as a sparse convex combination of the extreme points of the feasible set, which has helped to the popularity of the algorithm for sparse greedy optimization in machine learning and signal processing problems, as well as for example the optimization of minimum–cost flows in transportation networks.