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https://en.wikipedia.org/wiki/Continuant%20%28mathematics%29 | In algebra, the continuant is a multivariate polynomial representing the determinant of a tridiagonal matrix and having applications in generalized continued fractions.
Definition
The n-th continuant is defined recursively by
Properties
The continuant can be computed by taking the sum of all possible products of x1,...,xn, in which any number of disjoint pairs of consecutive terms are deleted (Euler's rule). For example,
It follows that continuants are invariant with respect to reversing the order of indeterminates:
The continuant can be computed as the determinant of a tridiagonal matrix:
, the (n+1)-st Fibonacci number.
Ratios of continuants represent (convergents to) continued fractions as follows:
The following matrix identity holds:
.
For determinants, it implies that
and also
Generalizations
A generalized definition takes the continuant with respect to three sequences a, b and c, so that K(n) is a polynomial of a1,...,an, b1,...,bn−1 and c1,...,cn−1. In this case the recurrence relation becomes
Since br and cr enter into K only as a product brcr there is no loss of generality in assuming that the br are all equal to 1.
The generalized continuant is precisely the determinant of the tridiagonal matrix
In Muir's book the generalized continuant is simply called continuant.
References
Continued fractions
Matrices
Polynomials |
https://en.wikipedia.org/wiki/Milnor%20number | In mathematics, and particularly singularity theory, the Milnor number, named after John Milnor, is an invariant of a function germ.
If f is a complex-valued holomorphic function germ then the Milnor number of f, denoted μ(f), is either a nonnegative integer, or is infinite. It can be considered both a geometric invariant and an algebraic invariant. This is why it plays an important role in algebraic geometry and singularity theory.
Algebraic definition
Consider a holomorphic complex function germ
and denote by the ring of all function germs .
Every level of a function is a complex hypersurface in , therefore we will call a hypersurface singularity.
Assume it is an isolated singularity: in the case of holomorphic mappings we say that a hypersurface singularity is singular at if its gradient is zero at , and we say that is an isolated singular point if it is the only singular point in a sufficiently small neighbourhood of . In particular, the multiplicity of the gradient
is finite by an application of Rückert's Nullstellensatz. This number is the Milnor number of singularity at .
Note that the multiplicity of the gradient is finite if and only if the origin is an isolated critical point of f.
Geometric interpretation
Milnor originally introduced in geometric terms in the following way. All fibers for values close to are nonsingular manifolds of real dimension . Their intersection with a small open disc centered at is a smooth manifold called the Milnor fiber. Up to diffeomorphism does not depend on or if they are small enough. It is also diffeomorphic to the fiber of the Milnor fibration map.
The Milnor fiber is a smooth manifold of dimension and has the same homotopy type as a bouquet of spheres . This is to say that its middle Betti number is equal to the Milnor number and it has homology of a point in dimension less than . For example, a complex plane curve near every singular point has its Milnor fiber homotopic to a wedge of circles (Milnor number is a local property, so it can have different values at different singular points).
Thus we have equalities
Milnor number = number of spheres in the wedge = middle Betti number of = degree of the map on = multiplicity of the gradient
Another way of looking at Milnor number is by perturbation. We say that a point is a degenerate singular point, or that f has a degenerate singularity, at if is a singular point and the Hessian matrix of all second order partial derivatives has zero determinant at :
We assume that f has a degenerate singularity at 0. We can speak about the multiplicity of this degenerate singularity by thinking about how many points are infinitesimally glued. If we now perturb the image of f in a certain stable way the isolated degenerate singularity at 0 will split up into other isolated singularities which are non-degenerate! The number of such isolated non-degenerate singularities will be the number of points that have been infinites |
https://en.wikipedia.org/wiki/Lack-of-fit%20sum%20of%20squares | In statistics, a sum of squares due to lack of fit, or more tersely a lack-of-fit sum of squares, is one of the components of a partition of the sum of squares of residuals in an analysis of variance, used in the numerator in an F-test of the null hypothesis that says that a proposed model fits well. The other component is the pure-error sum of squares.
The pure-error sum of squares is the sum of squared deviations of each value of the dependent variable from the average value over all observations sharing its independent variable value(s). These are errors that could never be avoided by any predictive equation that assigned a predicted value for the dependent variable as a function of the value(s) of the independent variable(s). The remainder of the residual sum of squares is attributed to lack of fit of the model since it would be mathematically possible to eliminate these errors entirely.
Principle
In order for the lack-of-fit sum of squares to differ from the sum of squares of residuals, there must be more than one value of the response variable for at least one of the values of the set of predictor variables. For example, consider fitting a line
by the method of least squares. One takes as estimates of α and β the values that minimize the sum of squares of residuals, i.e., the sum of squares of the differences between the observed y-value and the fitted y-value. To have a lack-of-fit sum of squares that differs from the residual sum of squares, one must observe more than one y-value for each of one or more of the x-values. One then partitions the "sum of squares due to error", i.e., the sum of squares of residuals, into two components:
sum of squares due to error = (sum of squares due to "pure" error) + (sum of squares due to lack of fit).
The sum of squares due to "pure" error is the sum of squares of the differences between each observed y-value and the average of all y-values corresponding to the same x-value.
The sum of squares due to lack of fit is the weighted sum of squares of differences between each average of y-values corresponding to the same x-value and the corresponding fitted y-value, the weight in each case being simply the number of observed y-values for that x-value. Because it is a property of least squares regression that the vector whose components are "pure errors" and the vector of lack-of-fit components are orthogonal to each other, the following equality holds:
Hence the residual sum of squares has been completely decomposed into two components.
Mathematical details
Consider fitting a line with one predictor variable. Define i as an index of each of the n distinct x values, j as an index of the response variable observations for a given x value, and ni as the number of y values associated with the i th x value. The value of each response variable observation can be represented by
Let
be the least squares estimates of the unobservable parameters α and β based on the observed values of x i an |
https://en.wikipedia.org/wiki/2008%E2%80%9309%20FC%20Schalke%2004%20season | The 2008–09 season was Schalke 04's 41st season in the Bundesliga. This article shows player statistics and all matches (official and friendly) that the club played during the 2008–09 season.
Players
Squad information
Transfers
In
Out
Squad statistics
Appearances and goals
Disciplinary record
Club
Coaching staff
Other information
Kits
Competitions
Overall
As in the last two seasons, Schalke 04 was present in all major competitions, including the First division and the DFB Cup in Germany but they failed to qualify for the UEFA Champions League in Europe.
Bundesliga
Standings
Results summary
Results by round
Matches
Competitive
See also
FC Schalke 04
2008–09 UEFA Champions League
2008–09 Bundesliga
2008–09 DFB-Pokal
External links
Schalke04.de Official Site
Bundesliga.de Team Page
Fussballdaten.de Team Page
uefa.com - UEFA Champions League
FIFA
Notes
Schalke 04
FC Schalke 04 seasons |
https://en.wikipedia.org/wiki/Equivariant%20algebraic%20K-theory | In mathematics, the equivariant algebraic K-theory is an algebraic K-theory associated to the category of equivariant coherent sheaves on an algebraic scheme X with action of a linear algebraic group G, via Quillen's Q-construction; thus, by definition,
In particular, is the Grothendieck group of . The theory was developed by R. W. Thomason in 1980s. Specifically, he proved equivariant analogs of fundamental theorems such as the localization theorem.
Equivalently, may be defined as the of the category of coherent sheaves on the quotient stack . (Hence, the equivariant K-theory is a specific case of the K-theory of a stack.)
A version of the Lefschetz fixed-point theorem holds in the setting of equivariant (algebraic) K-theory.
Fundamental theorems
Let X be an equivariant algebraic scheme.
Examples
One of the fundamental examples of equivariant K-theory groups are the equivariant K-groups of -equivariant coherent sheaves on a points, so . Since is equivalent to the category of finite-dimensional representations of . Then, the Grothendieck group of , denoted is .
Torus ring
Given an algebraic torus a finite-dimensional representation is given by a direct sum of -dimensional -modules called the weights of . There is an explicit isomorphism between and given by sending to its associated character.
See also
Topological K-theory, the topological equivariant K-theory
References
N. Chris and V. Ginzburg, Representation Theory and Complex Geometry, Birkhäuser, 1997.
Thomason, R.W.:Algebraic K-theory of group scheme actions. In: Browder, W. (ed.) Algebraic topology and algebraic K-theory. (Ann. Math. Stud., vol. 113, pp. 539 563) Princeton: Princeton University Press 1987
Thomason, R.W.: Lefschetz–Riemann–Roch theorem and coherent trace formula. Invent. Math. 85, 515–543 (1986)
Thomason, R.W., Trobaugh, T.: Higher algebraic K-theory of schemes and of derived categories. In: Cartier, P., Illusie, L., Katz, N.M., Laumon, G., Manin, Y., Ribet, K.A. (eds.) The Grothendieck Festschrift, vol. III. (Prog. Math. vol. 88, pp. 247 435) Boston Basel Berlin: Birkhfiuser 1990
Thomason, R.W., Une formule de Lefschetz en K-théorie équivariante algébrique, Duke Math. J. 68 (1992), 447–462.
Further reading
Dan Edidin, Riemann–Roch for Deligne–Mumford stacks, 2012
Algebraic K-theory |
https://en.wikipedia.org/wiki/Slam-dunk | In the mathematical field of low-dimensional topology, the slam-dunk is a particular modification of a given surgery diagram in the 3-sphere for a 3-manifold. The name, but not the move, is due to Tim Cochran. Let K be a component of the link in the diagram and J be a component that circles K as a meridian. Suppose K has integer coefficient n and J has coefficient a rational number r. Then we can obtain a new diagram by deleting J and changing the coefficient of K to n-1/r. This is the slam-dunk.
The name of the move is suggested by the proof that these diagrams give the same 3-manifold. First, do the surgery on K, replacing a tubular neighborhood of K by another solid torus T according to the surgery coefficient n. Since J is a meridian, it can be pushed, or "slam dunked", into T. Since n is an integer, J intersects the meridian of T once, and so J must be isotopic to a longitude of T. Thus when we now do surgery on J, we can think of it as replacing T by another solid torus. This replacement, as shown by a simple calculation, is given by coefficient n - 1/r.
The inverse of the slam-dunk can be used to change any rational surgery diagram into an integer one, i.e. a surgery diagram on a framed link.
References
Robert Gompf and Andras Stipsicz, 4-Manifolds and Kirby Calculus, (1999) (Volume 20 in Graduate Studies in Mathematics), American Mathematical Society, Providence, RI
Geometric topology |
https://en.wikipedia.org/wiki/Ridge%20%28differential%20geometry%29 | In differential geometry, a smooth surface in three dimensions has a ridge point when a line of curvature has a local maximum or minimum of principal curvature. The set of ridge points form curves on the surface called ridges.
The ridges of a given surface fall into two families, typically designated red and blue, depending on which of the two principal curvatures has an extremum.
At umbilical points the colour of a ridge will change from red to blue. There are two main cases: one has three ridge lines passing through the umbilic, and the other has one line passing through it.
Ridge lines correspond to cuspidal edges on the focal surface.
See also
Ridge detection
References
Differential geometry of surfaces
Surfaces |
https://en.wikipedia.org/wiki/James%20Donnelly%20%28baseball%29 | James Henry Donnelly (January 6, 1867 – December 31, 1933) was a Major League Baseball third baseman for the Union Association's Kansas City Cowboys in . His statistics are often included with those of Jim Donnelly, though the two were separate players.
Donnelly played in the minor leagues with the Minneapolis Millers and for a team in Lynn, Massachusetts, before signing with Kansas City. He played in Cambridge, Massachusetts, in and , and Medford and Randolph in . From , he managed the semi-pro Cambridge Reds. Off-season, he worked as a bookkeeper in Boston's Clinton Market.
References
Sources
Statistics at Baseball Almanac
Major League Baseball third basemen
Kansas City Cowboys (UA) players
Baseball players from Somerville, Massachusetts
1867 births
1933 deaths
19th-century baseball players
Minor league baseball managers
Muskegon (minor league baseball) players
Lynn (minor league baseball) players
Sterling (minor league baseball) players
Galesburg (minor league baseball) players
Burlington (minor league baseball) players
Baseball players from Boston |
https://en.wikipedia.org/wiki/Petrovsky%20lacuna | In mathematics, a Petrovsky lacuna, named for the Russian mathematician I. G. Petrovsky, is a region where the fundamental solution of a linear hyperbolic partial differential equation vanishes.
They were studied by who found topological conditions for their existence.
Petrovsky's work was generalized and updated by .
References
.
.
.
.
Hyperbolic partial differential equations
Shock waves |
https://en.wikipedia.org/wiki/Ali%20Hamoudi | Ali Hamoudi () is an Iranian football defender who plays for Shahin Bushehr F.C. in the Iran Pro League.
Club career
Club career statistics
Assist Goals
Honours
Country
WAFF Championship Winner: 1
2008
Club
Iran's Premier Football League
Winner: 1
2012–13 with Esteghlal
Runner up: 1
2006–07 with Esteghlal Ahvaz
Hazfi Cup
Winner: 1
2011–12 with Esteghlal
References
External links
Ali hamoudi on instagram
1986 births
Living people
Iranian men's footballers
Persian Gulf Pro League players
Sepahan S.C. footballers
Esteghlal F.C. players
Esteghlal Ahvaz F.C. players
Foolad F.C. players
Sanat Mes Kerman F.C. players
Iran men's international footballers
Men's association football defenders
Footballers from Ahvaz |
https://en.wikipedia.org/wiki/Codd%27s%20theorem | Codd's theorem states that relational algebra and the domain-independent relational calculus queries, two well-known foundational query languages for the relational model, are precisely equivalent in expressive power. That is, a database query can be formulated in one language if and only if it can be expressed in the other.
The theorem is named after Edgar F. Codd, the father of the relational model for database management.
The domain independent relational calculus queries are precisely those relational calculus queries that are invariant under choosing domains of values beyond those appearing in the database itself. That is, queries that may return different results for different domains are excluded. An example of such a forbidden query is the query "select all tuples other than those occurring in relation R", where R is a relation in the database. Assuming different domains, i.e., sets of atomic data items from which tuples can be constructed, this query returns different results and thus is clearly not domain independent.
Codd's Theorem is notable since it establishes the equivalence of two syntactically quite dissimilar languages: relational algebra is a variable-free language, while relational calculus is a logical language with variables and quantification.
Relational calculus is essentially equivalent to first-order logic, and indeed, Codd's Theorem had been known to logicians since the late 1940s.
Query languages that are equivalent in expressive power to relational algebra were called relationally complete by Codd. By Codd's Theorem, this includes relational calculus. Relational completeness clearly does not imply that any interesting database query can be expressed in relationally complete languages. Well-known examples of inexpressible queries include simple aggregations (counting tuples, or summing up values occurring in tuples, which are operations expressible in SQL but not in relational algebra) and computing the transitive closure of a graph given by its binary edge relation (see also expressive power). Codd's theorem also doesn't consider SQL nulls and the three-valued logic they entail; the logical treatment of nulls remains mired in controversy. Additionally, SQL has multiset semantics and allows duplicate rows. Nevertheless, relational completeness constitutes an important yardstick by which the expressive power of query languages can be compared.
Notes
References
External links
Relational model
Theorems in the foundations of mathematics |
https://en.wikipedia.org/wiki/Keith%20Briggs%20%28mathematician%29 | Keith Briggs is a mathematician notable for several world-record achievements in the field of computational mathematics:
The most accurate calculation of the Feigenbaum constants, which was published in "A precise calculation of the Feigenbaum constants", Mathematics of Computation, 57, 435–439.
The worst known badly approximable irrational pair ("Some explicit badly approximable pairs", Journal of Number Theory, 103, 71).
The simplest known universal differential equation
A significant number of contributions in the last 5 years to Sloane's On-Line Encyclopedia of Integer Sequences (search for briggs in OEIS). Many of these have involved major computations, such as the number of unlabelled graphs on up to 140 nodes.
The computation of the longest sequences of colossally abundant and superabundant numbers, and their application to a test of the Riemann Hypothesis (Experimental Mathematics, 15, 251–256).
An article about him was in i-squared Magazine, Issue 6 (Winter 2008/9).
Briggs has Erdős number equal to two, obtained by his joint authorship of two papers with George Szekeres. One of these papers was the last published by Szekeres before his death, and Szekeres was Erdős' first co-author.
He also studies the etymology of place-names, and on Middle English etymology, phonology, and semantics (especially in East Anglia), as evidenced by onomastic data.
Selected texts
1991 "A precise calculation of the Feigenbaum constants", Mathematics of Computation, 57, 435–439.
References
21st-century English mathematicians
Toponymists
Year of birth missing (living people)
Living people |
https://en.wikipedia.org/wiki/Affine%20focal%20set | In mathematics, and especially affine differential geometry, the affine focal set of a smooth submanifold M embedded in a smooth manifold N is the caustic generated by the affine normal lines. It can be realised as the bifurcation set of a certain family of functions. The bifurcation set is the set of parameter values of the family which yield functions with degenerate singularities. This is not the same as the bifurcation diagram in dynamical systems.
Assume that M is an n-dimensional smooth hypersurface in real (n+1)-space. Assume that M has no points where the second fundamental form is degenerate. From the article affine differential geometry, there exists a unique transverse vector field over M. This is the affine normal vector field, or the Blaschke normal field. A special (i.e. det = 1) affine transformation of real (n + 1)-space will carry the affine normal vector field of M onto the affine normal vector field of the image of M under the transformation.
Geometric interpretation
Consider a local parametrisation of M. Let be an open neighbourhood of 0 with coordinates , and let be a smooth parametrisation of M in a neighbourhood of one of its points.
The affine normal vector field will be denoted by . At each point of M it is transverse to the tangent space of M, i.e.
For a fixed the affine normal line to M at may be parametrised by t where
The affine focal set is given geometrically as the infinitesimal intersections of the n-parameter family of affine normal lines. To calculate, choose an affine normal line, say at point p; then look at the affine normal lines at points infinitesimally close to p and see if any intersect the one at p. If p is infinitesimally close to , then it may be expressed as where represents the infinitesimal difference. Thus and will be our p and its neighbour.
Solve for t and .
This can be done by using power series expansions, and is not too difficult; it is lengthy and has thus been omitted.
Recalling from the article affine differential geometry, the affine shape operator S is a type (1,1)-tensor field on M, and is given by , where D is the covariant derivative on real (n + 1)-space (for those well read: it is the usual flat and torsion free connexion).
The solutions to are when 1/t is an eigenvalue of S and that is a corresponding eigenvector. The eigenvalues of S are not always distinct: there may be repeated roots, there may be complex roots, and S may not always be diagonalisable. For , where denotes the greatest integer function, there will generically be (n − 2k)-pieces of the affine focal set above each point p. The −2k corresponds to pairs of eigenvalues becoming complex (like the solution to as a changes from negative to positive).
The affine focal set need not be made up of smooth hypersurfaces. In fact, for a generic hypersurface M, the affine focal set will have singularities. The singularities could be found by calculation, but that may be difficult, and there is no idea of w |
https://en.wikipedia.org/wiki/Allsport%20GPS | Allsport GPS was a fitness tracking phone application combined with a website. As of March 2016, it was discontinued and services were shut down.
It uses GPS to provide performance statistics and is run on a GPS-enabled cell phone. The GPS gives Allsport GPS a precise way of measuring statistics such as pace, speed, time and distance. Users can view their route overlaid on a map. The application is used for fitness training regimes and goal tracking. The workout information uploads to the Allsport GPS website wirelessly. In 2006 Allsport GPS introduced the ability to view workouts in the Trimble Outdoors Google Earth layer.
History
Allsport GPS is a part of the Trimble Outdoors product family. It is owned by Trimble Navigation which was founded in 1978. The Allsport GPS application was bought by Trimble in April 2006. The software continues to be updated periodically. Allsport GPS started out as only available on limited phone models and carriers, but this list has steadily been expanding since then. In 2007 Allsport GPS was released on Blackberry phones. Allsport GPS was released on AT&T phones in 2008.
Functions
The purpose of Allsport GPS is to support fitness and performance tracking. It is part of a trio of cell phone applications called Trimble Outdoors. It can be used for workouts such as running, jogging, mountain biking, road biking, and walking. The application is downloaded onto a GPS cell phone. The user then straps the phone onto themselves or onto their bike, or holds the phone for the duration of their workout. During the workout Allsport GPS supplies real time statistics such as calories burned, time, speed and distance. These statistics are updated every ten seconds.
After the workout, the data is automatically uploaded wirelessly to the website. The data can then be viewed, as well as a trip calendar showing all workouts over time, and elevation and speed profiles. On the Allsport map function, the workout can be viewed on a map both on the phone and on the website. The route can be made public and shared with others. The user can do a trip search on the website and view other users' shared workouts as well as workouts from Bicycling Magazine. These routes can be downloaded from the website. The phone application has a race-against-yourself feature that enables the user to compare their times and distances multiple times over the same track.
Reviews
Allsport GPS has been mentioned in print and internet publications such as Men’s Health Magazine and The New York Times Online. In 2007 it was named GPS Gadget of the Week by GeoCarta. Both Fred Zahradnik from About.com GPS and Laptop Magazine gave Allsport GPS 4/5 stars in 2007.
Related software, social platforms and mobile apps
Runtastic
Endomondo
References
External links
http://online.wsj.com/public/article/SB119265199498662338.html
http://www.trimbleoutdoors.com
GPS sports tracking applications
Physical exercise
Cross-platform mobile software
Fitness apps |
https://en.wikipedia.org/wiki/Kolakoski%20sequence | In mathematics, the Kolakoski sequence, sometimes also known as the Oldenburger–Kolakoski sequence, is an infinite sequence of symbols {1,2} that is the sequence of run lengths in its own run-length encoding. It is named after the recreational mathematician William Kolakoski (1944–97) who described it in 1965, but it was previously discussed by Rufus Oldenburger in 1939.
Definition
The initial terms of the Kolakoski sequence are:
1,2,2,1,1,2,1,2,2,1,2,2,1,1,2,1,1,2,2,1,2,1,1,2,1,2,2,1,1,...
Each symbol occurs in a "run" (a sequence of equal elements) of either one or two consecutive terms, and writing down the lengths of these runs gives exactly the same sequence:
1,2,2,1,1,2,1,2,2,1,2,2,1,1,2,1,1,2,2,1,2,1,1,2,1,2,2,1,1,2,1,1,2,1,2,2,1,2,2,1,1,2,1,2,2,...
1, 2 , 2 ,1,1, 2 ,1, 2 , 2 ,1, 2 , 2 ,1,1, 2 ,1,1, 2 , 2 ,1, 2 ,1,1, 2 ,1, 2 , 2 ,1,1, 2 ,...
The description of the Kolakoski sequence is therefore reversible. If K stands for "the Kolakoski sequence", description #1 logically implies description #2 (and vice versa):
1. The terms of K are generated by the runs (i.e., run-lengths) of K
2. The runs of K are generated by the terms of K
Accordingly, one can say that each term of the Kolakoski sequence generates a run of one or two future terms. The first 1 of the sequence generates a run of "1", i.e. itself; the first 2 generates a run of "22", which includes itself; the second 2 generates a run of "11"; and so on. Each number in the sequence is the length of the next run to be generated, and the element to be generated alternates between 1 and 2:
1,2 (length of sequence l = 2; sum of terms s = 3)
1,2,2 (l = 3, s = 5)
1,2,2,1,1 (l = 5, s = 7)
1,2,2,1,1,2,1 (l = 7, s = 10)
1,2,2,1,1,2,1,2,2,1 (l = 10, s = 15)
1,2,2,1,1,2,1,2,2,1,2,2,1,1,2 (l = 15, s = 23)
As can be seen, the length of the sequence at each stage is equal to the sum of terms in the previous stage. This animation illustrates the process:
These self-generating properties, which remain if the sequence is written without the initial 1, mean that the Kolakoski sequence can be described as a fractal, or mathematical object that encodes its own representation on other scales. Bertran Steinsky has created a recursive formula for the i-th term of the sequence but the sequence is conjectured to be aperiodic, that is, its terms do not have a general repeating pattern (cf. irrational numbers like π and ).
Research
Density
It seems plausible that the density of 1s in the Kolakoski {1,2}-sequence is 1/2, but this conjecture remains unproved. Václav Chvátal has proved that the upper density of 1s is less than 0.50084. Nilsson has used the same method with far greater computational power to obtain the bound 0.500080.
Although calculations of the first 3×108 values of the sequence appeared to show its density converging to a value slightly different from 1/2, later calculations that extended the sequence to its first 1013 values show the deviation from a density of 1/2 growing smalle |
https://en.wikipedia.org/wiki/Stable%20vector%20bundle | In mathematics, a stable vector bundle is a (holomorphic or algebraic) vector bundle that is stable in the sense of geometric invariant theory. Any holomorphic vector bundle may be built from stable ones using Harder–Narasimhan filtration. Stable bundles were defined by David Mumford in and later built upon by David Gieseker, Fedor Bogomolov, Thomas Bridgeland and many others.
Motivation
One of the motivations for analyzing stable vector bundles is their nice behavior in families. In fact, Moduli spaces of stable vector bundles can be constructed using the Quot scheme in many cases, whereas the stack of vector bundles is an Artin stack whose underlying set is a single point.
Here's an example of a family of vector bundles which degenerate poorly. If we tensor the Euler sequence of by there is an exact sequencewhich represents a non-zero element since the trivial exact sequence representing the vector isIf we consider the family of vector bundles in the extension from for , there are short exact sequenceswhich have Chern classes generically, but have at the origin. This kind of jumping of numerical invariants does not happen in moduli spaces of stable vector bundles.
Stable vector bundles over curves
A slope of a holomorphic vector bundle W over a nonsingular algebraic curve (or over a Riemann surface) is a rational number μ(W) = deg(W)/rank(W). A bundle W is stable if and only if
for all proper non-zero subbundles V of W
and is semistable if
for all proper non-zero subbundles V of W. Informally this says that a bundle is stable if it is "more ample" than any proper subbundle, and is unstable if it contains a "more ample" subbundle.
If W and V are semistable vector bundles and μ(W) >μ(V), then there are no nonzero maps W → V.
Mumford proved that the moduli space of stable bundles of given rank and degree over a nonsingular curve is a quasiprojective algebraic variety. The cohomology of the moduli space of stable vector bundles over a curve was described by using algebraic geometry over finite fields and using Narasimhan-Seshadri approach.
Stable vector bundles in higher dimensions
If X is a smooth projective variety of dimension m and H is a hyperplane section, then a vector bundle (or a torsion-free sheaf) W is called stable (or sometimes Gieseker stable) if
for all proper non-zero subbundles (or subsheaves) V of W, where χ denotes the Euler characteristic of an algebraic vector bundle and the vector bundle V(nH) means the n-th twist of V by H. W is called semistable if the above holds with < replaced by ≤.
Slope stability
For bundles on curves the stability defined by slopes and by growth of Hilbert polynomial coincide. In higher dimensions, these two notions are different and have different advantages. Gieseker stability has an interpretation in terms of geometric invariant theory, while μ-stability has better properties for tensor products, pullbacks, etc.
Let X be a smooth projective variety of dimension n, H its h |
https://en.wikipedia.org/wiki/Scott%20Bulloch | Scott Bulloch (born 13 August 1984) is an Australian footballer who plays for Sorrento FC.
A-League career statistics
(Correct as of 8 March 2010)
References
External links
Oz Football profile
1984 births
A-League Men players
Australian police officers
Australian men's soccer players
Living people
Perth Glory FC players
Men's association football forwards
Men's association football midfielders
Footballers from Lanark |
https://en.wikipedia.org/wiki/Information%20source%20%28mathematics%29 | In mathematics, an information source is a sequence of random variables ranging over a finite alphabet Γ, having a stationary distribution.
The uncertainty, or entropy rate, of an information source is defined as
where
is the sequence of random variables defining the information source, and
is the conditional information entropy of the sequence of random variables. Equivalently, one has
See also
Markov information source
Asymptotic equipartition property
References
Robert B. Ash, Information Theory, (1965) Dover Publications.
zh-yue:資訊源
Information theory
Stochastic processes |
https://en.wikipedia.org/wiki/Ashraf%20Bait%20Taysir | Ashraf Eid Taysir Bait Taysir (; born 29 September 1982), commonly known as Ashraf Taysir, is an Omani footballer who last played for Dhofar S.C.S.C. in the Oman Elite League.
Club career statistics
International career
Ashraf was selected for the national team for the first time in 2005. He has made appearances in the 2010 FIFA World Cup qualification and has represented national team in the 2007 AFC Asian Cup qualification.
References
External links
1982 births
Living people
Omani men's footballers
Oman men's international footballers
Men's association football defenders
Al-Nasr SC (Salalah) players
Dhofar Club players
Qatar Stars League players
Al Kharaitiyat SC players
Expatriate men's footballers in Qatar
Omani expatriate sportspeople in Qatar |
https://en.wikipedia.org/wiki/Mohammed%20Al-Mashaikhi | Mohammed Shibh Al-Mashaikhi (; born 4 February 1981), commonly known as Mohammed Al-Mashaikhi, is an Omani footballer who plays for Sur SC in Oman Professional League.
Club career statistics
International career
Mohammed was selected for the national team for the first time in 2008. He has made three appearances in the 2010 FIFA World Cup qualification.
Honours
Club
With Al-Nahda
Omani League (2): 2006-07, 2008-09; Runner-up 2005-06
Sultan Qaboos Cup (0): Runner-up 2008, 2012
Oman Super Cup (2): 2009, 2014
References
External links
Mohammed Al-Mashaikhi at Goal.com
1981 births
Living people
People from Abu Dhabi
Omani men's footballers
Oman men's international footballers
Men's association football midfielders
Al-Nasr SC (Salalah) players
Al-Nahda Club (Oman) players
Al-Shabab SC (Seeb) players
Sur SC players
Oman Professional League players |
https://en.wikipedia.org/wiki/Talal%20Khalfan | Talal Khalfan Hadid Al-Farsi (; born 25 November 1980), commonly known as Talal Khalfan, is an Omani footballer who last played for Al-Nahda Club.
Club career statistics
International career
Talal was part of the first team squad of the Oman national football team till 2010. He was selected for the national team for the first time in 1996. He has made five appearances in the 2010 FIFA World Cup qualification.
National team career statistics
Goals for Senior National Team
Honours
Club
With Al-Oruba
Omani League (2): 2001–02, 2008–09; Runner-up 2010–11
Sultan Qaboos Cup (2): 2001, 2010
Omani Super Cup (2): 2002, 2011
With Al-Arabi
Kuwait Emir Cup (3): 2005, 2006, 2008
Kuwait Crown Prince Cup (1): 2007
Kuwait Super Cup (1): 2008
With Al-Ittihad
Libyan Premier League (2): 2007–08, 2008–09
Libyan Super Cup (1): 2008 Libyan Super Cup
With Al-Nahda
Sultan Qaboos Cup (0): Runner-up 2012
References
External links
1980 births
Living people
Omani men's footballers
Oman men's international footballers
Omani expatriate men's footballers
Men's association football midfielders
Bosher Club players
Al-Orouba SC players
Al-Arabi SC (Kuwait) players
Muscat Club players
Al-Ittihad Club (Tripoli) players
Najran SC players
Al-Nahda Club (Oman) players
Saudi Pro League players
Expatriate men's footballers in Kuwait
Omani expatriate sportspeople in Kuwait
Expatriate men's footballers in Libya
Omani expatriate sportspeople in Libya
Expatriate men's footballers in Saudi Arabia
Omani expatriate sportspeople in Saudi Arabia
People from Sur, Oman
Footballers at the 1998 Asian Games
Asian Games competitors for Oman
Kuwait Premier League players
Libyan Premier League players |
https://en.wikipedia.org/wiki/Isandula | Isandula is an administrative ward in the Mbozi District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 10,807 people in the ward, from 14,549 in 2012.
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Duistermaat%E2%80%93Heckman%20formula | In mathematics, the Duistermaat–Heckman formula, due to , states that the
pushforward of the canonical (Liouville) measure on a symplectic manifold under the moment map is a piecewise polynomial measure. Equivalently, the Fourier transform of the canonical measure is given exactly by the stationary phase approximation.
and, independently, showed how to deduce the Duistermaat–Heckman formula from a localization theorem for equivariant cohomology.
References
External links
http://terrytao.wordpress.com/2013/02/08/the-harish-chandra-itzykson-zuber-integral-formula/
Symplectic geometry |
https://en.wikipedia.org/wiki/Bujonde | Bujonde is an administrative ward in the Kyela district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 8,297 people in the ward, from 7,528 in 2012.
Villages / vitongoji
The ward has 4 villages and 18 vitongoji.
Isanga
Bugoloka
Lupaso
Mpanda
Mpulo
Mpunguti
Itope
Busale
Itope
Ndobo
Ngamanga
Lubaga
Chikuba
Ikumbo
Mbangamoyo
Mbyasyo
Mpanda
Nnyelele
Kilombero
Kyimbila
Mahenge
Ndola
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Ikama | Ikama is an administrative ward in the Kyela district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 5,206 people in the ward, from 4,724 in 2012.
Villages / vitongoji
The ward has 4 villages and 16 vitongoji.
Fubu
Fubu
Lyongo
Mbwato
Ndondobya
Seko
Ilopa
Bugoloka
Ilopa
Kyimo
Ndwanga
Mpunguti
Ikama
Mpanga
Mpunguti A
Mpunguti B
Mwambusye
Busalano
Itiki
Nsela
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Ikolo | Ikolo is an administrative ward in the Kyela district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 5,665 people in the ward, from 5,140 in 2012.
Villages / vitongoji
The ward has 3 villages and 16 vitongoji.
Ikolo
Bugoloka
Busona
Ibungu
Lupando
Mbimbi
Mbondela
Ndobo
Nyelele
Lupembe
Lugombo
Lupembe
Muungano
Bunyongala "A"
Bunyongala "B"
Kyimo
Masyabala
Mwigo
Njikula
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Ipande | Ipinda is an administrative ward in the Kyela district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 5,626 people in the ward, from 8,081 in 2012.
Villages / vitongoji
The ward has 4 villages and 9 vitongoji.
Konjula
Kipela
Njugilo
Maendeleo
Kikole "A"
Kikole "B"
Mbula
Bugoba
Ilindi
Njugilo
Kasama A
Kasama B
Malangali
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Ipinda | Ipinda is an administrative ward in the Kyela district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 22,976 people in the ward, from 20,847 in 2012.
Villages / vitongoji
The ward has 11 villages and 29 vitongoji.
Bujela
Bujela
Lupaso
Ikumbilo
Ikumbilo
Kalulya
Ikulu
Ikulu Kanisani
Ikulu Kusini
Ipinda
Ipinda Kaskazini
Ipinda Kati
Ipinda Kusini
Kafundo
Kafundo Kaskazini
Kafundo Kati
Kafundo Kusini
Kanga
Kanga A
Kanga B
Mwangulu
Kiingili
Kingili A
Kingili B
Lukuju
Mahenge
Kisale
Iringa
Mbangamoyo
Lupaso
Kanyelele
Lupaso
Mabunga
Mbamila
Mpunguti
Nsongola
Ngamanga
Ibungu
Mitugutu
Ngamanga Kati
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kajunjumele | Kajunjumele is an administrative ward in the Kyela District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 9,081 people in the ward, from 8,240 in 2012.
Villages / vitongoji
The ward has 5 villages and 14 vitongoji.
Buloma
Buloma
Kapugi
Kiwira
Kajunjumele
Katyongoli
Lusyembe
Nganganyila
Kandete
Kilwa
Lukwego
Mpanda
Njisi
Kingila
Bujesi
Iponjola
Lupaso
Lupaso
Malaka
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Katumba%20Songwe | Katumba Songwe, also Katumbasongwe, is an administrative ward in the Kyela District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 8,615 people in the ward, from 13,895 in 2012.
Villages / vitongoji
The ward has 5 villages and 20 vitongoji.
Isaki
Isaki I
Isaki II
Katumba
Ilopa
Katumba
Masoko I
Masoko II
Mbugujo
Kabanga
Kabanga
Lusungo
Tenende
Mpunguti
Itekenya "A"
Itekenya "B"
Lamya
Mpunguti A
Mpunguti B
Ndwanga
Katumbati
Ndanganyika
Ndwanga "A"
Ndwanga "B"
Usalama
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Lusungo | Lusungo is an administrative ward in the Kyela district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 7,003 people in the ward, from 6,354 in 2012.
Villages / vitongoji
The ward has 5 villages and 17 vitongoji.
Kikuba
Isyeto
Lufumbi
Malangali
Lukama
Igembe
Lukama Chini
Lukama Kati
Lukwego
Bulimbwe
Kaposo
Lukwego
Lusungo
Bugema
Bugogo
Lusungo
Mpulo
Ntundumano
Ntundumbaka
Mpanda
Kapugi
Malema
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Makwale | Makwale is an administrative ward in the Kyela district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 13,946 people in the ward, from 12,654 in 2012.
Villages / vitongoji
The ward has 7 villages and 27 vitongoji.
Ibale
Ibale
Kichangani
Maendeleo
Tumaini
Kateela
Kateela
Mbugujo
Mwalisi
Mwambungula
Mahenge
Ilopa
Isabula
Mahenge
Makwale
Isimba
Makwale A
Makwale B
Mwalisi
Mpegele
Katago
Mchangani
Mpegele
Mpunguti
Bulyambwa
Katete
Mahanji
Mpunguti
Ngeleka
Iponjola
Katago
Lukuju
Mwalingo
Ngeleka I
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Mwaya | Mwaya is an administrative ward in the Kyela district of the Mbeya Region of Tanzania. In 2016, the Tanzania National Bureau of Statistics report there were 12,841 people in the ward, from 11,651 in 2012.
Villages / vitongoji
The ward has 10 villages and 33 vitongoji.
Ilondo
Ikubo
Ilondo
Maini
Kapamisya
Kabale
Kapamisya
Majengo
Kasala
Kasala A
Kasala B
Kasala C
Lugombo
Lubaga
Lugombo
Lupando
Mbaasi
Mota
Lukuyu
Lukuyu
Mwanjabala
Malungo
Malungo
Mtela
Serengeti
Masebe
Ilembula
Lugoje
Masebe Kati
Mwaya
Itajania
Kiputa
Mwaya
Njisi
Ndola
Ipyasyo
Lupondo
Mbegele
Seko
Tenende
Mbasi
Tenende Chini
Tenende Juu
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Ngana | Ngana is an administrative ward in the Kyela District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 8,755 people in the ward, from 7,944 in 2012.
Villages / vitongoji
The ward has 4 villages and 22 vitongoji.
Kasumulu
Ilondo
Jua Kali
Kasumulu
Kasumulu Kati
Ngumbulu
Mwalisi
Bujesi
Itope
Kani
Lusungo
Makeje
Ngonga
Ngana
Kandete
Majengo
Malola
Mbwata
Mwega
Nduka
Ushirika
Ibwengubati
Kasyunguti
Lusungo
Makasu
Mpalakata
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Chalangwa | Chalangwa is an administrative ward in the Chunya district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 8,831 people in the ward, from 8,013 in 2012.
Villages / vitongoji
The ward has 3 villages and 14 vitongoji.
Chalangwa
Chalangwa A
Chalangwa B
Chalangwa C
Chemichemi
Wazenga A
Wazenga B
Itumba
Itumba
Kanjilinji
Njiapanda
Simbalivu
Isewe
Isewe
Izumbi
Mbilwa
Mbinga
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Chokaa | Chokaa is an administrative ward in the Chunya district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 16,782 people in the ward, from 15,227 in 2012.
Villages / vitongoji
The ward has 4 villages and 19 vitongoji.
Mapogoro
Ashishila
Mapogoro A
Mapogoro B
Mnyolima
Wafugaji
Kibaoni
Kibaoni A
Kibaoni B
Kibaoni C
Majengo
Sinza
Chokaa
Chokaa A
Chokaa B
Legezamwendo
Sambilimwaya
Godima
Godima
Ikamasi
Majengo
Mwankonyonto
Saitunduma
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Ifumbo | Ifumbo is an administrative ward in the Chunya district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 7,209 people in the ward, from 6,541 in 2012.
Villages / vitongoji
The ward has 2 villages and 10 vitongoji.
Ifumbo
Chikula
Ihango
Itete
Majengo
Mbuyuni
Mwambagala
Sawa A
Lupamarket
Kasanga
Lupamarket
Mabomba
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Itewe | Itewe is an administrative ward in the Chunya District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 6,465 people in the ward, from 8,341 in 2012.
Villages / vitongoji
The ward has 5 villages and 21 vitongoji.
Itewe
Barabarani
Igalako
Ikulu
Maendeleo
Msimbazi
Mtaa No. 8
Mwambalizi
Sawa
Tembela
Tembela A
Tembela B
Iyelanyala
Jericho
Lutundu
Idunda
Mapinduzi A
Mapinduzi B
Mapinduzi C
Mapinduzi D
Isongwa
Isongwa A
Isongwa B
Isongwa C
Isongwa D
Isongwa E
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kambikatoto | Kambikatoto is an administrative ward in the Chunya district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 7,815 people in the ward, from 7,091 in 2012.
Villages / vitongoji
The ward has 2 villages and 7 vitongoji.
Kambikatoto
Gengeni
Iwolelo
Kibaoni
Laini
Sipa
Majiweni
Mawonde
Mwamasesa
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Lupa%20Ward | Lupa is an administrative ward in the Chunya district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 8,396 people in the ward, from 12,835 in 2012.
Villages / vitongoji
The ward has 3 villages and 16 vitongoji.
Lyeselo
Legeza Mwendo
Lyeselo
Mapambano
Ngonilima
Songambele
Ifuma
Chemichemi
Ifuma
Kagera
Kazaroho
Lupatingatinga
Forest
Kivukoni
Lupatingatinga
Majengo Mapya
Mission
Mtukula
Vitumbi
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Luwalaje | Luwalaje, also known as Lualaje, is an administrative ward in the Chunya district of the Mbeya Region of Tanzania.
In 2016 the Tanzania National Bureau of Statistics report there were 4,745 people in the ward, from 4,305 in 2012.
Villages / vitongoji
The ward has 2 villages and 14 vitongoji.
Lualaje
Ikingo
Itete
Kabuta
Kiseru
Kitakwa
Mpembe Magh.
Muungano
Sumbwe
Mwiji
Isote
Mtakuja
Mwiji A
Mwiji B
Mwiji C
Mwiji D
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Mafyeko | Mafyeko is an administrative ward in the Chunya district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 10,370 people in the ward, from 9,409 in 2012.
Villages / vitongoji
The ward has 2 villages and 10 vitongoji.
Bitimanyanga
Bitimanyanga A
Bitimanyanga B
Bitimanyanga C
Bitimanyanga D
Idodoma
Mafyeko
Mafyeko A
Mafyeko B
Mafyeko C
Mafyeko D
Tulieni
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Makongolosi | Makongolosi is an administrative ward in the Chunya district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 12,442 people in the ward, from 18,116 in 2012.
Villages / vitongoji
The ward has 14 vitongoji.
Kalungu
Kilombero
Machinjioni
Makongolosi
Manyanya
Mkuyuni
Mpogoloni
Mwaoga Kati
Sokoni
Songambele
TRM
Tankini
Umoja
Zahanati
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Matwiga | Matwiga is an administrative ward in the Chunya district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 9,852 people in the ward, from 8,939 in 2012.
Villages / vitongoji
The ward has 3 villages and 15 vitongoji.
Matwiga
Ilindi
Konde
Maendeleo
Majengo
Mlimani.
Moyo
Tankini
Mazimbo
Kiyombo
Mavinge
Mazimbo
Isangawana
Igomaa
Isangawana A
Isangawana B
Mkange
Mpakani
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Mbugani | Mbugani is an administrative ward in the Chunya district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 9,626 people in the ward, from 8,734 in 2012.
Vitongoji
The ward has 3 vitongoji.
Butiama
Mbugani
Roma
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Mtanila | Mtanila is an administrative ward on the Chunya District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 9,601 people in the ward, from 8,711 in 2012.
Villages / vitongoji
The ward has 3 villages and 19 vitongoji.
Mtanila
Igama
Ikokotela
Kawisunge
Manolo
Mapimbi
Mtanila C.
Nkena
Igangwe
Igangwe
Lupuju
Masimba
Shauri Moyo
Sokoine
Kalangali
Ilolo
Ilumwa
Itigi
Kasasya
Konde
Majengo
Ndola
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Chimala | Chimala is an administrative ward in the Mbarali District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 18,332 people in the ward, from 16,633 in 2012.
Villages and hamlets
The ward has 6 villages, and 35 hamlets.
Chimala
Kajima
Kilabuni
Mferejini
Mtoni
Relini
Stendi
Igumbilo
Danida
Elimu
Igumbilo Shamba
Kisimani
Mapinduzi
Mashineni
Mwenge
Ofisini
Isitu
Azimio
Isitu mjini
Kolongoni
Mahakamani
Ofisini
Posta
Lyambogo
Chamsalaka
Lembuka
Lyambogo
Mji mwema
Shuleni
Tazara
Mengele
Mengele
Muungano
Njia panda
Tenkini
Muwale
Kanisani
Mbembe
Mtoni
Mwakadama
Ofisini
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Igurusi | Igurusi is an administrative ward in the Mbarali district of the Mbeya Region of Tanzania. In 2022 the Tanzania National Bureau of Statistics report there were more than 28,000 people in the ward, from 24,573 in 2016.
The ward is famous for rice farming and most of its residents depend from rice farming. The ward has nine villages which are; Chamoto, Igurusi, Ilolo, Lunwa, Lusese, Maendeleo, Majenje, Rwanyo and Uhambule.
Igurusi is home to Ministry of Agriculture Training Institute (MATI-Igurusi). The institution offers two diploma courses in land use and irrigation. Also there are eight primary schools and three secondary schools, which are Igurusi secondary school, Mshikamano secondary school and Haroun Pirmohamed secondary school. There is an international rice market within the ward. An ATM service is available for CRDB Bank within the market. The TANZAM Highway from Dar es Salaam to Mbeya passes through the ward,Also the TAZARA railway is passing through the ward.
The ward comprises many tribes and most of them are Nyakyusa, Ndali, Sangu, Bena,Wanji,Kinga, Nyiha and Safwa. The ward lies within the famous Usangu plains bordered with the Livingstone mountains on the southside of the ward where Mbeya rural district and Njombe region bordered the ward. Igurusi ward is one amongst the wards in Mbarali district which grow rapidly and the ward is no longer a village-like place, but a suburban-like place.
Villages and hamlets
The ward has 9 villages, and 49 hamlets.
Chamoto
Bethania
Godauni
Kibaoni
Majimaji
Mkuyuni
Mpakani
Igurusi
Kabwe
Muungano 'A'
Muungano 'B'
Zahanati 'A'
Zahanati 'B'
Ilolo
Ilolo 'A'
Ilolo 'B'
Machinjioni
Mati
Mbuyuni
Lusese
Kanisani
Lusese
Majengo mapya 'A'
Majengo mapya 'B'
Masista
Maendeleo
Chemichemi
Juhudi
Maendeleo 'A'
Maendeleo 'B'
Mahakamani
Majenje
Jipemoyo
Kiwanjani
Majenje juu 'A'
Majenje juu 'B'
Mji mwema
Lunwa
Chamgungwe
Kanalunwa
Mapunga
Mashala
Lunwa
Rwanyo
Amkeni 'A'
Amkeni 'B'
Jangwani 'A'
Jangwani 'B'
Ruanda
Uhambule
Gomoshelo
Kibaoni
Lyamasoko
Lyovela
Matowo
Mganga
Mkwajuni
Mpogoro
Nganga
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Madibira | Madibira is an administrative ward in the Mbarali district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 27,269 people in the ward, from 24,742 in 2012.
Villages and hamlets
The ward has 6 villages, and 39 hamlets.
Iheha
Ikulu
Kinyangulu
Mbuyuni
Mheza
Mji mwema
Ikoga
Amani
Ikulu
Madawi
Magunguli
Magunguli-Lutherani
Mahango-Madibira
Majengo
Mapinduzi
Mbuyuni
Mtakuja
Chalisuka
Chalisuka
Godown
Mbuyuni
Mikoroshini
Upendo
Mkunywa
Kabete
Kanamalenga
Kichangani
Lingondime
Mazombe
Mkunywa 'A'
Mkunywa 'B'
Mlonga
Mlwasi
Nyakadete
Mtibwa
Muungano
Nyakadete
Saligona
Ubagule
Nyamakuyu
Ikulu
Mbuyuni
Miembeni
Unyanyembe A
Unyanyembe B
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Mahongole%2C%20Mbeya | Mahongole is an administrative ward in the Mbarali district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 12,943 people in the ward, from 11,744 in 2012.
Villages and hamlets
The ward has 6 villages, and 33 hamlets.
Ilaji
Ilaji
Isengo
Mlowo
Msikitini 'A'
Msikitini 'B'
Ilongo
Ihango
Ijumbi
Ilongo
Mpakani
Mwafwaka
Kapyo
Kapyo 'A'
Kapyo 'B'
Kapyo 'C'
Kapyo 'D'
Kapyo 'E'
Mpakani 'A'
Mpakani 'B'
Mahongole
CCM 'A'
Kagera
Kilabuni
Mashala
Msikitini
Nsonyanga
Mbago
Mkoji
Nsonyanga 'A'
Nsonyanga 'B'
Rwanda 'A'
Rwanda 'B'
Igalako
CCM 'B'
Majengo
Mbange
Sokoni
Uchagani
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Mapogoro | Mapogoro is an administrative ward in the Mbarali district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 27,282 people in the ward, from 24,754 in 2012.
Villages and hamlets
The ward has 9 villages, and 49 hamlets.
Itamba
Mahango
Mapangala
Mapogoro
Mbungu
Mlangali
Mtakuja
Mabadaga
Manyoro 'A'
Manyoro 'B'
Mnyurunyuru 'B'
Munyurunyuru 'A'
Mwanjelwa
Utage
Nyangulu
Bogoro
Nyangulu 'A'
Nyangulu 'B'
Tambukaleli
Mbuyuni
Kinawaga
Maduli
Magomeni
Makondo
Mkola
Mlimani
Muungano
Uvanga
Msesule
Matenkini
Mtambani
Njola
Mtamba
Kilambo
Mlangali 'A'
Mlangali 'B'
Mtamba 'A'
Mtamba 'B'
Ukwama
Idege
Lambitali
Mbuyuni
Ukwama 'A'
Ukwama 'B'
Ukwavila
Chang'ombe
Ibohora
Ifushilo
Ivaji
Msumbiji
Tambalagosi
Uturo
Kilambo 'A'
Mabambila "B'
Mabambila 'A'
Mahango
Uturo 'A'
Uturo 'B'
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Mawindi | Mawindi is an administrative ward in the Mbarali district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 10,930 people in the ward, from 9,917 in 2012.
Villages and hamlets
The ward has 2 villages, and 34 hamlets.
Itipingi
Itipindi 'A'
Itipindi 'B'
Mahango
Majengo 'A'
Majengo 'B'
Mjoja
Nyamatwiga
Kangaga
Angola
Bimbi
Chang'ombe
Imalaya
Majombe
Mji mwema
Mkondo
Nyamahelela
Tambukaleli
Uswahilini
Manienga
Chabegenja
Darajani
Kanisani
Mabambila
Mabanda 'A'
Mabanda 'B'
Makondo 'A'
Makondo 'B'
Mkandami
Mkandami 'A'
Mkandami 'B'
Nyakasima
Nyalundung'u
Isunura
Kati
Lupululu
Luvalande
Nyangasada
Uzunguni
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Miyombweni | Miyombweni is an administrative ward in the Mbarali District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 10,771 people in the ward, from 9,773 in 2012.
Villages and hamlets
The ward has 5 villages, and 19 hamlets.
Magigiwe
Magigiwe 'A'
Magigiwe 'B'
Mkindi 'A'
Mkindi 'B'
Mnyelela
Mapogoro
Igubike
Ikulu 'A'
Ikulu 'B'
Mapogoro 'A'
Mapogoro 'B'
Mlungu
Masangala
Mawe saba
Mlungu
Myombweni
Azimio
Kichangani
Mabatini
Nyakazombe
Kinyangulu
Nyakazombe
Nyakazombe kati
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Ruiwa | Ruiwa is an administrative ward in the Mbarali district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 17,487 people in the ward, from 15,867 in 2012.
Villages and hamlets
The ward has 6 villages, and 47 hamlets.
Ijumbi
Ilanji
Ishungu
Kilabuni
Majoja
Mashala
Mbalino
Mbugani
Mbuyuni
Mwambalisi
Malamba
CCM
Kalumbulo
Magombole
Majengo
Mtakuja
Muungano
Soweto
Wigoma
Zingatia
Motomoto
Iyawaya
Misufuni
Motomoto 'A'
Motomoto 'B'
Mwambalizi 'C'
Ndola
Tambukareli
Tingatinga
Ruiwa
Funika
Kibaoni
Mamfwila 'A'
Mtengashari
Mwambalisi
Rejesta
Udindilwa
Kalabure
Komole
Maji ya moto
Mapogoro
Mbugani
Mwanjelwa
Wimba Mahango
Dodoma 'A'
Dodoma 'B'
Ilanji 'A'
Ilanji 'B'
Ilolo
Kaninjowo 'A'
Kaninjowo 'B'
Wimba 'A'
Wimba 'B'
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Rujewa | Rujewa is an administrative ward in the Mbarali district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 32,483 people in the ward, from 29,473 in 2012.
Vitongoji
The ward has 60 vitongoji.
CCM
Chang'ombe
Ibara A
Ibara B
Ihanga Kilabuni
Ihanga Ofisini
Isisi
Jangurutu
Kanisani
Kanisani
Kapunga
Kati
Kichangani
Luwilindi Barabarani
Luwilindi Kanisani
Lyahamile
Mabanda A
Mabanda B
Mafuriko
Magea
Magwalisi
Mahango.
Majengo
Majengo
Majengo
Majengo Barabarani
Majengo Mtoni
Mbuyuni
Mbuyuni
Mdodela
Mferejini
Miembeni
Mjimwema
Mkanyageni
Mkanyageni
Mkwajuni
Mkwajuni
Mlimani
Mogela
Mogelo
Mpakani
Msimbazi
Mtakuja
Mtoni
Musanga
Muungano
Nyaluhanga 'A'
Nyaluhanga 'B'
Nyamtowo
Nyati
Ofisini
Simba
Tembo 'A'
Tembo 'B'
Tenkini 'A'
Tenkini 'B'
Ukinga 'A'
Ukinga 'B'
Ukinga 'C'
Wameli
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Ubaruku | Ubaruku is an administrative ward in the Mbarali District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 32,179 people in the ward, from 29,197 in 2012.
Villages and hamlets
The ward has 8 villages, and 50 hamlets.
Ibohora
Ihuvilo 'A'
Ihuvilo 'B'
London 'A'
London 'B'
Luhanga
Majengo
Miembeni
Majengo
Mahango
Malamba 'A'
Malamba 'B'
Ng'ambo Mfereji 'A'
Stendi
Mbarali
Kifaru
Mtakuja
Tagamenda 'A'
Tagamenda 'B'
Uzunguni
Mkombwe
Daily
Mjimwema
Mkombwe 'A'
Mkombwe 'B'
Mkondogavili
Msufini
Mtambani
Mtegisala
Mpakani
Majengo
Mbuyuni
Mjimwema
Mpakani
Msikitini
Mwakaganga
Kibaoni Kati 'A'
Kibaoni Kati 'B'
Kibaoni Kati 'C'
Mdodela 'A'
Mdodela 'B'
Mdodela 'C'
Ng'ambo Mfereji 'B'
Santamaria 'A'
Santamaria 'B'
Ubaruku
Maperemehe
Matono
Sokoni
Stendi
Utyego
Forest
Mjimwema
Motomoto
Tupendane
Uhuru
Ujamaa
Usalama
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Utengule%20Usangu | Utengule Usangu is an administrative ward in the Mbarali District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 16,980 people in the ward, from 15,407 in 2012.
Villages and hamlets
The ward has 6 villages, and 37 hamlets.
Mpolo
Ihanga 'A'
Ihanga 'B'
Ihanga 'C'
Mahango 'A'
Mahango 'B'
Mahango 'C'
Muungano
Itambo Mpolo
Lyanumbusi
Senganinjala
Ugandilwa
Mahango Mswiswi
Ijumbi
Kajunjumele
Majojolo
Marawatu
Misufini
Shuleni
Magulula
Ilonjelo
Lena - Mtakuja
Mfinga
Muungano
Nengelesa
Ujora
Simike
Mapula 'A'
Mapula 'B'
Mapululu
Miambeni
Mianzini
Shuleni
Tengatenga
Wambilo
Utengule Usangu
Iduya A
Iduya B
Jemedari
Ubajulie - Mbela
Ujola
Ulyankha
Wimbwa
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Bujela | Bujela is an administrative ward in the Rungwe district of the Mbeya Region of Tanzania. The ward covers an area of with an average elevation of .
In 2016 the Tanzania National Bureau of Statistics report there were 6,149 people in the ward, from 5,579 in 2012, from 6,090 in 2002. The ward has .
Villages and hamlets
The ward has 5 villages, and 16 hamlets.
Mpombo
Mpombo
Salima
Kyambambembe
Makina
Makuyu
Nsongola
Kilange
Lupila
Nkuyu
Nsongola
Bujela
Bujege
Bujela
Busyala
Ntuso
Segela
Brazil
Ipyana
Segela
katonya
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Bulyaga | Bulyaga is an administrative ward in the Rungwe district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 7,046 people in the ward, from 6,393 in 2012, and 7,869 in 2002.
Neighborhoods
The ward has 4 neighborhoods.
Mpindo
Bulyaga Juu
Bulyaga Kati
Igamba
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Ikuti | Ikuti is an administrative ward in the Rungwe district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 14,366 people in the ward.
Villages and hamlets
The ward has 6 villages, and 29 hamlets.
Lyenje
Ijugwe
Kezalia
Kimomo
Kitapwa
Lyenje
Mwantondo
Ibungu
Ibungu
Kipya
Makata
Meega
Ikuti
Butonga
Butumba
Ibula
Ikuti
Kagisa
Kinyika
Lupupu
Mabale
Lumbe
Lumbe
Nsanga
Kyobo
Igembe
Isuga
Kitolo
Kyobo chini
Matale
Ng'enge
Kyobo Juu
Kyobo Kati
Kyobo juu
Lubemba
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Isange | Isange is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 6,381 people in the ward, from 5,790 in 2012. Isange Health Center is located in the ward and servers it's population. Dr. Peter Yusti is the medical officer in charge.
Villages / vitongoji
The ward has 4 villages and 22 vitongoji.
Bumbigi
Iloba
Kititu
Lwangilo A
Lwangilo B
Nguka
Nsanga
Isange
Iponjola
Ipyela
Isabula
Isanu
Lugombo
Mpunga
Ndamba
Sota
Matamba
Ibungu
Ilondo
Lumbila
Matamba Chini
Matamba Juu
Nkalisi
Ipyana
Kikuba
Nkalisi
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Isongole | Isongole is an administrative ward in Rungwe District, Mbeya Region, Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 7,930 people in the ward, from 18,689 in 2012 before it was split up.
Villages and hamlets
The ward has 6 villages, and 22 hamlets.
Idweli
Ijela
Itenki
Iwawa
Katumba
Sogeza
Isyonje
Isyonje A
Isyonje B
Kenya
Mbwiga
Mbeye 1
Nyaga
Tembela
Ndwati
Bwawani
Igalula
Ndowela
Ngumbulu
Ikambaku
Ipyela A
Ipyela B
Muungano
Nsanga
Unyamwanga
Nguga
Shoga
Uholo
References
Wards of Mbeya Region
Rungwe District
Constituencies of Tanzania |
https://en.wikipedia.org/wiki/Itete | Itete is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 4,939 people in the ward, from 9,869 in 2012.
Villages / vitongoji
The ward has 5 villages and 29 vitongoji.
Kabembe
Ikama
Kitima
Lwambi
Mpanda
Mpuguso
Selya
Bujesi
Busekele
Mbusania
Ngana
Busoka
Butola
Hedikota
Juakali
Kandete
Katilu
Mbegele
Mbonja
Mpanda
Saru
Kilugu
Ipyana
Lukwego
Lupaso
Lusungo
Mpanda
Ngamanga
Kibole
Ilopa
Ipyasyo
Kibole Kati
Nguti
Nkuyu
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kabula | Kabula is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 7,225 people in the ward, from 10,271 in 2012.
Villages / vitongoji
The ward has 4 villages and 15 vitongoji.
Kitema
Ipyasyo
Lubaga
Lwale
Ngulu
Kapyu
Kapyu Chini
Kikota
Mbegele
Kanyelele
Kanyelele
Kasebe
Ntangasale
Ndembo
Ikambak
Itete
Kagwina
Malambo
Ndembo
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kambasegela | Kambasegela is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 7,006 people in the ward, from 12,597 in 2012.
Villages / vitongoji
The ward has 3 villages and 12 vitongoji.
Mbambo
Igunga
Ikapu
Isyeto
Mbambo Kati
Kambasegela
Iponjola
Kanisani
Mpanda
Mwangumbe
Nkuju
Katela
Ilopa
Katela
Mpata
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kandete | Kandete is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 11,334 people in the ward, from 10,284 in 2012.
Villages / vitongoji
The ward has 6 villages and 22 vitongoji.
Kandete
Kalulu
Lupanga
Majengo
Ipelo
Ipyana
Kabula
Lugombo
Nsika
Mwela
Kisiba
Lusungo
Mwela
Sokoni
Ndala
Ipyela
Katumba
Kisimba
Masebe
Ntete
Lugombo
Ikama
Itete
Lugombo
Bujingijila
Bujingijila
Ihobe
Malambo
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kinyala | Kinyala is an administrative ward in the Rungwe District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 14,185 people in the ward, from 12,871 in 2012.
Villages and hamlets
The ward has 6 villages, and 40 hamlets.
Igembe
Igembe
Ikuti A
Ikuti B
Kipili
Songwe
katumba
Isumba
Igembe
Isumba
Itebe
Kibole
Kikuyu
Kipande
Chunya
Igwila
Ilala
Kilambo
Kipande
Mbeswe
Kisoko
Ilunga
Kisoko
Mete
Ngeke
Njole
Salima
Lubigi
Ikukisya
Itete
Kakindo
Lubigi
Magamba
Mbegele
Moto
Lukata
Ikoga
Ipugu
Itete
Katumba
Kibanja
Lubala
Mpombo
Ndola
Ngologo
Nkebe
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kisegese | Kisegese is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 6,074 people in the ward, from 5,511 in 2012.
Villages / vitongoji
The ward has 3 villages and 12 vitongoji.
Kiseges
Kibanja
Kisegese
Lufilyo
Mbiningu
Ngeleka
Isala
Mbuyu
Mwalisi
Ngeleka A
Ngeleka B
Kasyabone
Kasyabone
Kiloba
Ndobo
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kisiba | Kisiba is an administrative ward in the Rungwe district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 7,306 people in the ward, from 6,629 in 2012.
Villages and hamlets
The ward has 4 villages, and 14 hamlets.
Busisya
Busilya
Busisya
Butumba
Isabula
Ikama
Ikomelo
Isabula Chini
Isabula Juu
Iseselo
Lwifwa
Iseselo juu
Lugombo
Lwifwa
Mbaka
Kibundugulu
Landani
Mibula
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kisondela | Kisondela is an administrative ward in the Rungwe district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 12,200 people in the ward, from 11,070 in 2012.
Villages and hamlets
The ward has 5 villages, and 26 hamlets.
Bugoba
Bugoba
Igembe
Lusungo chini
Lusungo juu
Masebe
Isuba
Ilulwe
Iponjola
Isuba
Seso
katumba
Kibatata
Ipyana
Kililila
Kisondela
Lusungo II
Mwanjelwa
Ndubi Ndubi
Lutete
Bujesi
Isumba
Lugombo
Majengo
Ngubati
Njela
Nnyamisi
Mpuga
Mpuga
Ngopyolo
Nsyamba
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kiwira | Kiwira is an administrative ward in the Rungwe district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 27,822 people in the ward, from 25,244 in 2012.
Villages and hamlets
The ward has 5 villages, and 28 hamlets.
Ibula
Ibula
Kanyegele
Katela
Kibumbe
Sanu - Salala Kalongo
Ilolo
Ibigi
Ilolo
Itekele
Kisungu
Masebe
Masugwa
Ilundo
Bujinga
Buswema
Ibagha A
Ibagha B
Kanyambala
Lusungo
Kikota
Ilamba
Ipande
Kang'eng'e
Kikota
Lubwe
Lukwego
Mpandapanda
Ilongoboto
Ipoma
Isange
Kiwira kati
Mpandapanda
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kyimo | Kyimo is an administrative ward in the Rungwe district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 15,466 people in the ward, from 14,033 in 2012.
Neighborhoods
The ward has 5 neighborhoods.
Ilenge
Katabe
Kibisi
Kyimo
Syukula
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Lufingo | Lufingo is an administrative ward in the Rungwe district of the Mbeya Region of Tanzania.
In 2016 the Tanzania National Bureau of Statistics report there were 12,286 people in the ward, from 17,166 in 2012 before it was split up.
Villages and hamlets
The ward has 4 villages, and 22 hamlets.
Itete
Bujonde
Itete
Kasanda
Lufingo
Mbanganyigale
Kagwina
Kandete
Lumbila
Masebe
Soweto
kagwina
Kalalo
Bujinga
Busango
Igembe
Kalalo
Katumba
Simike
Ibabu
Ipyana
Itebe
Kakuyu
Kasanga
Majombo
Malibila
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Lupata | Lupata is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 10,018 people in the ward.
Villages / neighborhoods
The ward has 5 villages and 22 hamlets.
Bwibuka
Bwibuka
Iponjola
Malema
Mbongolo
Lupata
Igembe
Ipoma
Isuba
Kibonde
Kituli
Njisi
Mpanda
Isumba
Kabula
Kasangali
Kilosi
Mpanda
Mpombo
Ntapisi
Lembuka
Mwakipiko
Ntapisi Kati
Nsonso
Bujesi
Kikulumba
Kikusya
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Luteba | Luteba is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 7,837 people in the ward.
Villages / neighborhoods
The ward has 6 villages and 23 hamlets.
Mpunguti
Ibwe
Itete
Kabula
Kamasulu
Mwakaleli
Luteba
Kasanga
Majwesi
Ndamba
kilasi
Kilasi
Luteba
Ngela
Ipuguso
Ikano
Ipuguso
Kisondela
Lusoko
Nsebo
Ikubo
Ibungu
Igembe
Ikubo
Itebe
Kikwego
Isale
Ipyela
Itimbo
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Lwangwa | Lwangwa is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 11,757 people in the ward, from 10,668 in 2012.
Villages / neighborhoods
The ward has 4 villages and 15 hamlets.
Mbigili
Bunyakasege
Busilya
Iloboko
Mbigili
Mbisa
Ngelenge
Lukasi
Kiputa
Kisondela
Lukasi
Kitali
Itiki
Kitali
Lupaso
Ikamambande
Butumba
Kitungwa
Mbande
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Malindo | Malindo is an administrative ward in the Rungwe district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 6,569 people in the ward, from 5,960 in 2012.
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Mpombo | Mpombo is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 9,684 people in the ward, from 8,787 in 2012.
Villages / vitongoji
The ward has 5 villages and 19 vitongoji.
Lusanje
Ipogolo
Ipoma
Itete
Masebe
Ndamba
Kasanga
Igembe
Kalambo
Kasanga
Kyejo
Ijoka
Ilundo
Ipoma
Mpafwa
Ngunjwa
Nsongola
Lulasi
Itongolugulu
Lukata
Lulasi
Bwilando
Bwilando
Ikubo
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Lufilyo | Rufiryo is an administrative ward in the Busokelo District of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 7,021 people in the ward, from 6,370 in 2012.
Villages / vitongoji
The ward has 5 villages and 21 vitongoji.
Kifunda
Kifunda
Landani
Ndumbati
Nsanga
Kikuba
Bujonde
Busikali
Katumba
Kinela
Kipangamansi
Ndubi
Kipapa
Katete
Lupando
Mpulo
Ndola
Sanu
Kipyola
Kalengo
Ntalula
Sota
Lusungo
Landani
Lusungo
Njisi
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Malangali%2C%20Mufindi | Malangali, Mufindi is an administrative ward in the Mufindi District of the Iringa Region of Tanzania, East Africa. In 2016 the Tanzania National Bureau of Statistics report there were 6,120 people in the ward, from 5,849 in 2012.
See also
Malangali Secondary School
References
Wards of Iringa Region |
https://en.wikipedia.org/wiki/Iduda | Iduda is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania in Africa. In 2016 the Tanzania National Bureau of Statistics report there were 4,582 people in the ward, from 4,157 in 2012.
Neighborhoods
The ward has 4 neighborhoods.
Kanda ya Chini
Kanda ya Juu
Kanda ya Kati
Mwahala
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Iganjo | Iganjo is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 9,585 people in the ward, from 8,697 in 2012.
Neighborhoods
The ward has 6 neighborhoods.
Ikhanga
Ilowe
Ishinga
Itanji
Mtakuja
Mwanyanje
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Iganzo | Iganzo is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 15,886 people in the ward, from 14,414 in 2012.
Neighborhoods
The ward has 4 neighborhoods.
Iganzo
Igodima
Mwambenja
Nkuyu
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Igawilo | Igawilo is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 19,067 people in the ward, from 17,300 in 2012.
Neighborhoods
The ward has 4 neighborhoods.
Chemchem
Mponja
Mwanyanje
Sokoni
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Ilemi%20%28Mbeya%20ward%29 | Ilemi is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 29,582 people in the ward, from 26,841 in 2012.
Neighborhoods
The ward has 6 neighborhoods.
Ilemi
Ilindi
Maanga VETA
Mapelele
Masewe
Mwafute
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Isanga | Isanga is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 10,486 people in the ward, from 9,591 in 2012.
Neighborhoods
The ward has 7 neighborhoods.
Igoma Ilolo A
Igoma Ilolo B
Ilolo
Isanga Kati
Mkuju
Mmita
Wigamba
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Isyesye | Isyesye is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 8,784 people in the ward, from 7,970 in 2012.
Neighborhoods
The ward has 3 neighborhoods Mwantengule, RRM, and Vingunguti.
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Itagano | Itagano is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 1,930 people in the ward, from 1,751 in 2012.
Neighborhoods
The ward has 2 neighborhoods Ipombo, and Itagano.
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Itende | Itende is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 3,846 people in the ward, from 3,490 in 2012.
Neighborhoods
The ward has 6 neighborhoods.
Gombe
Inyala
Isonta
Itende Kati
Itete
Lusungo
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Itezi | Itezi is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 20,329 people in the ward, from 18,445 in 2012.
Neighborhoods
The ward has 4 neighborhoods.
Gombe Kaskazini
Gombe Kusini
Itezi Magharibi
Mwasote
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Itiji | Itiji is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 4,663 people in the ward, from 4,231 in 2012.
Neighborhoods
The ward has 4 neighborhoods.
Itiji
Makaburin
Mbwile
Mwasanga
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Iwambi | Iwambi is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 13,652 people in the ward, from 12,387 in 2012.
Neighborhoods
The ward has 7 neighborhoods.
Ilembo
Ivwanga
Kandete
Lumbila
Mayombo
Ndeje
Utulivu
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Iyela | Iyela is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 34,864 people in the ward, from 31,634 in 2012.
Neighborhoods
The ward has 2 neighborhoods.
Airport
Block T
Ilembo
Iyela Namba 1
Iyela Namba 2
Mapambano
Nyibuko
Pambogo
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Iyunga | Iyunga is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 16,560 people in the ward, from 7,377 in 2012.
Neighborhoods
The ward has 5 neighborhoods.
Igale
Ikuti
Inyala
Maendeleo
Sisintila
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Iziwa | Iziwa is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 3,500 people in the ward, from 3,176 in 2012.
Neighborhoods
The ward has 5 neighborhoods.
Iduda
Ilungu
Imbega
Isengo
Isumbi
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Kalobe | Kalobe is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 14,526 people in the ward, from 13,180 in 2012.
Neighborhoods
The ward has 6 neighborhoods.
DDC
Kalobe
Maendeleo A
Maendeleo B
Majengo A
Majengo Mapya
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Maanga | Maanga is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania.
In 2016 the Tanzania National Bureau of Statistics report there were 7,584 people in the ward, from 6,881 in 2012.
Neighborhoods
The ward has 7 neighborhoods.
Maanga A
Maanga B
Maendeleo
Mafiat
Mwamfupe
Ndongole
Sinde
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Mabatini | Mabatini is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 8,172 people in the ward, from 7,415 in 2012.
Neighborhoods
The ward has 6 neighborhoods.
Kajigili
Kisunga
Mabatini
Mianzini
Senjele
Simike
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Maendeleo | Maendeleo is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 3,161 people in the ward, from 5,223 in 2012.
Neighborhoods
The ward has 5 neighborhoods.
Centre Community
Kati
Kiwanja Mpaka
Kiwanja Ngoma
Soko Matola
References
Wards of Mbeya Region |
https://en.wikipedia.org/wiki/Majengo%2C%20Mbeya | Majengo is an administrative ward in the Mbeya Urban district of the Mbeya Region of Tanzania. In 2016 the Tanzania National Bureau of Statistics report there were 3,652 people in the ward, from 3,314 in 2012.
Neighborhoods
The ward has 2 neighborhoods; Majengo Kaskazini, and Majengo Kusini.
References
Wards of Mbeya Region |
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