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Solution
Solution

... big-Oh notation) or cite one of the rules given in the book or in the lecture slides. (a) Show that if f(n) is O(g(n)) and d(n) is O(h(n)), then f(n)+d(n) is O(g(n)+ h(n)). Solution Recall the de_nition of big-Oh notation: we need constants c > 0 and n0 _ 1 such that f(n) + d(n) _ c(g(n) + h(n)) for ...
Computability and Complexity Results for a Spatial Assertion
Computability and Complexity Results for a Spatial Assertion

Stack
Stack

... The easiest implementation uses a List component (ArrayList is the simplest) for storing data An underlying array requires reallocation of space when the array becomes full, and  an underlying linked data structure requires allocating storage for links  As all insertions and deletions occur at one ...
Record Locking
Record Locking

... • BeginTrans begins a new transaction. • CommitTrans ends the current transaction and saves the changes. • Rollback ends the current transaction and restores the databases in the Workspace object to the state they were in when the current transaction began. ...
Synthesis of Combinational Logic
Synthesis of Combinational Logic

... • Transforms a behavior described in terms of operations on registers, signals and constraints into an optimal combinational logic and thus map the result into the target technology • RTL description represents either a FSM or a more general machine (data-flow graphs) • In Verilog, the synthesis is ...
ppt
ppt

...  2. Closure: For each operation f in OP, if f:Un->U and t1,..,tn are objects already known to be in the set D, then f(t1,..,tn) is also an object of D. ...
Finitely generated groups with automatic presentations
Finitely generated groups with automatic presentations

... binary operation, and so we would have a structure (G, ◦). Which is correct? In a sense, the answer depends on how you are considering the structures. As noted in [10], the main difference is that of substructures: the substructures of groups as structures (G, ◦) need only be subsemigroups, whereas, ...
Mathematics III
Mathematics III

... 5. Is this function increasing or decreasing? In the context, what does that mean? Part B: Determining the Relationship between Bending and Cantilever Length 1. Now, measure and record the amount of bending that takes place for at least 8 different lengths of the cantilever. Again determine within y ...
RTF Format (experimental)
RTF Format (experimental)

COMPARISON OF THE DISCRETE AND CONTINUOUS
COMPARISON OF THE DISCRETE AND CONTINUOUS

... isomorphism for the groups of Theorem B, it is not clear whether ϕ2 : H2disc (P ) → H2cont (P ) is an isomorphism or not. Let us explain briefly the main idea behind these constructions. Recall that a group G is called monolithic if the intersection T of all its non-trivial normal subgroups is non-t ...
Sequenced Units for  MA27 Algebra I Arizona’s College and Career Ready Standards
Sequenced Units for MA27 Algebra I Arizona’s College and Career Ready Standards

... students to appreciate what the broader notation enables us to do because they have not learned enough at this stage. When two equations are graphed on the same axes, we can clearly refer to f and g, versus saying “the first y =” and “the second y =.” We compose functions and have functions with mul ...
Solutions of Smooth Nonlinear Partial Differential Equations
Solutions of Smooth Nonlinear Partial Differential Equations

... on any neighborhood of any point x ∈ Γ. Moreover, u will typically not satisfy any of the polynomial type growth conditions that are imposed on elements of the Colombeau algebras of generalized functions 14. For m 0, the space 3.1 reduces to ML0 Ω MLΩ, as defined in 2.26. For m ∞, th ...
full-text - Radioengineering
full-text - Radioengineering

Example 3.08.1
Example 3.08.1

... solution can be transformed back into the solution of the original problem. For example, an integrating factor can sometimes be found to transform a non-exact first order first degree ordinary differential equation into an exact ODE [Section 1.7]: ...
ASC Programming - Computer Science
ASC Programming - Computer Science

... Parallel version normally executes both “bodies”.  First finds the responders for the conditional  If there are any responders, the responding PEs execute the body of the IF.  Next identifies the non-responders for the conditional  If there are non-responders, those PEs executes the body of the ...
Lecture 1: Getting Started With Python
Lecture 1: Getting Started With Python

Script 2013W 104.271 Discrete Mathematics VO (Gittenberger)
Script 2013W 104.271 Discrete Mathematics VO (Gittenberger)

Package `crqa`
Package `crqa`

... time-series. First, it finds the common state, or categories, shared by the two-times series, then it builds up a contingency table counting the co-occurrences of stateA-stateB between the two-series. The diagonal of the CT is where the recurrence profile is calculated, as along the diagonal, the st ...
Contrast Functions for Blind Separation and Deconvolution of Sources
Contrast Functions for Blind Separation and Deconvolution of Sources

... case of convolutive mixtures. Thus, separation is always understood with the above indeterminacy attached, not in the sense of having extracted exactly the sources. Following Comon [1], we call a contrast function discriminating if it attains its minimum only when separation is achieved. This work p ...
HW #7 – ch. 2 problem #4,5,11-15 – SOLUTIONS 4. Write the
HW #7 – ch. 2 problem #4,5,11-15 – SOLUTIONS 4. Write the

Recurrence Equations
Recurrence Equations

... Even though (53.24) is not a linear recurrence with constant coefficients, it can be solved fairly easily. Recurrence (53.8) can be transformed into an equivalent constant coefficient linear recurrence of order 1 in much the same way as we transformed (53.3) into such a recurrence. (53.9) is already ...
Unsupervised Domain Adaptation using Parallel Transport on Grassmann Manifold
Unsupervised Domain Adaptation using Parallel Transport on Grassmann Manifold

... In our approach we assume that the data lies in a union of subspaces in both source as well as target domains. For the source domain, we assume that each class lies on a separate subspace which can be computed using Principal Component Analysis (PCA). However, for the unlabeled target domain, discov ...
Common Core Standards Curriculum Map
Common Core Standards Curriculum Map

Hierarchical Constraint Satisfaction in Spatial Database
Hierarchical Constraint Satisfaction in Spatial Database

... Hierarchical CSPs using R-trees • A set of variables v1,v2,v3…vn. • Domain di for variable vi is for level 0 : {xi,1,…… xi,ci} for level 1 to h-1:{Xi,1,…… Xi,ci} • For each pair of variables the binary constraint is for level 0 : Cij is a disjunction of topological relations as specified by the que ...
Design and Evaluation of Gradual Typing for Python
Design and Evaluation of Gradual Typing for Python

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Corecursion

In computer science, corecursion is a type of operation that is dual to recursion. Whereas recursion works analytically, starting on data further from a base case and breaking it down into smaller data and repeating until one reaches a base case, corecursion works synthetically, starting from a base case and building it up, iteratively producing data further removed from a base case. Put simply, corecursive algorithms use the data that they themselves produce, bit by bit, as they become available, and needed, to produce further bits of data. A similar but distinct concept is generative recursion which may lack a definite ""direction"" inherent in corecursion and recursion. Where recursion allows programs to operate on arbitrarily complex data, so long as they can be reduced to simple data (base cases), corecursion allows programs to produce arbitrarily complex and potentially infinite data structures, such as streams, so long as it can be produced from simple data (base cases). Where recursion may not terminate, never reaching a base state, corecursion starts from a base state, and thus produces subsequent steps deterministically, though it may proceed indefinitely (and thus not terminate under strict evaluation), or it may consume more than it produces and thus become non-productive. Many functions that are traditionally analyzed as recursive can alternatively, and arguably more naturally, be interpreted as corecursive functions that are terminated at a given stage, for example recurrence relations such as the factorial.Corecursion can produce both finite and infinite data structures as result, and may employ self-referential data structures. Corecursion is often used in conjunction with lazy evaluation, to only produce a finite subset of a potentially infinite structure (rather than trying to produce an entire infinite structure at once). Corecursion is a particularly important concept in functional programming, where corecursion and codata allow total languages to work with infinite data structures.
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