15 resultados para SINGULAR RIEMANNIAN FOLIATIONS
em Doria (National Library of Finland DSpace Services) - National Library of Finland, Finland
Resumo:
The objective of this thesis is to study wavelets and their role in turbulence applications. Under scrutiny in the thesis is the intermittency in turbulence models. Wavelets are used as a mathematical tool to study the intermittent activities that turbulence models produce. The first section generally introduces wavelets and wavelet transforms as a mathematical tool. Moreover, the basic properties of turbulence are discussed and classical methods for modeling turbulent flows are explained. Wavelets are implemented to model the turbulence as well as to analyze turbulent signals. The model studied here is the GOY (Gledzer 1973, Ohkitani & Yamada 1989) shell model of turbulence, which is a popular model for explaining intermittency based on the cascade of kinetic energy. The goal is to introduce better quantification method for intermittency obtained in a shell model. Wavelets are localized in both space (time) and scale, therefore, they are suitable candidates for the study of singular bursts, that interrupt the calm periods of an energy flow through various scales. The study concerns two questions, namely the frequency of the occurrence as well as the intensity of the singular bursts at various Reynolds numbers. The results gave an insight that singularities become more local as Reynolds number increases. The singularities become more local also when the shell number is increased at certain Reynolds number. The study revealed that the singular bursts are more frequent at Re ~ 107 than other cases with lower Re. The intermittency of bursts for the cases with Re ~ 106 and Re ~ 105 was similar, but for the case with Re ~ 104 bursts occured after long waiting time in a different fashion so that it could not be scaled with higher Re.
Resumo:
Diplomityössä selvitettiin EU:ssa vuoden 2005 alusta alkavan päästökauppajärjestelmän toimintaympäristöä, sen taustaa ja sopimuksia joihin se pohjautuu. Varsinaisena tutkimusongelmana pyrittiin tunnistamaan muuttujat, jotka päästökaupan osalta vaikuttavat päästökaupan piirissä toimivaan yritykseen ja verrattiin eri toimijoita näiden tekijöiden avulla. Tekijöitä tarkasteltiin eri tasoilla niin, että ylimpänä tasona toimi koko maailman taso ja alimpana yksittäinen toimija. Näiden välissä tarkastelutasoina olivat EU:n laajuinen taso, yksittäisen maan laajuinen taso, sekä toimijaryhmän muodostaman toimialasektorin taso. Esimerkkinä näiden tekijöiden käytöstä toimijoiden vertailussa otettiin tarkasteltavaksi kolme suomalaista hiilivoimalaa: Lahtienergian omistama Kymijärven hiilivoimalaitos, Fortumin ja Teollisuuden voiman yhdessä omistama Meri-Porin hiilivoimalaitos sekä Helsingin Energian omistama Salmisaaren voimalaitos. Vertailu osoitti, että suurin laitoksista, eli Meri-Porin voimalaitos on suurimpien haasteiden edessä päästökaupan alkaessa, mutta toisaalta sillä on myös suurimmat resurssit selviytyä niistä.
Resumo:
Oral lichen planus (OLP) is a chronic inflammatory mucosal disease and is detected in between 0.5% - 2.2% of the population. WHO has defined OLP as a potentially precancerous disorder, representing a generalized state associated with a significantly increased risk of cancer. However, only 0.5 – 2.9% of OLP lesions will progress to cancer. Currently, there are no prognostic markers to identify the lesions at increased risk for malignant transformation. The main aim of these studies was to identify cellular and molecular markers in order to understand the pathogenesis of atrophic OLP and its progression towards malignancy. Selected markers for cell proliferation, adhesion, apoptosis, and lymphocytic infiltration were assessed by immunohistochemistry in addition to static cytometry analyses for DNA content. DNA quantification of epithelial cells in 82 biopsy samples derived from atrophic lichen planus showed altered DNA content in 41% of the samples. DNA content was associated with proliferation activity, topoisomerase IIalpha, desmocollin-1 and infection with human papillomavirus. CD27+ and CD38+ lymphocytes were detected in inflammatory cell infiltrate, indicating an abnormal homing of B cells from blood circulation to tissue. Physiologic cell death, apoptosis, is frequently seen in OLP, but its pathways are unknown. Here it was shown that caspases 2 and 12 were up-regulated in OLP, indicating that intracellular apoptosis, rather than an external causal factor, is triggering apoptosis. However, this thesis could not identify any singular prognostic marker of malignancy in OLP. Thus, every OLP patient should receive regular follow-up care to identify cancer risk patients at an early stage.
Resumo:
Tutkimuksen tavoitteena oli arvioida, miten tuottavuustietoa voidaan hyödyntää johtamisen tukena ja kuinka tuottavuustietoa tällä hetkellä hyödynnetään Etelä-Karjalan keskussairaalassa (EKKS). Tuottavuuden mittaamisessa hyödynnetään Terveyden- ja hyvinvoinnin laitoksen (THL) vuosittain julkaisemassa Hoito-toiminnan tuottavuus -tilastossa käytettävää tuottavuuden mittaamismenetelmää, jossa panoksina ovat sairaalan tai erikoisalan hoitotoiminnasta aiheutuneet kustannukset ja tuotoksina NordDRG-ryhmittelijän avulla painotetut hoitojaksot ja käynnit. Tutkimuksessa arvioitiin tuottavuuden mittaamiseen liittyvien mahdollisten virhetekijöiden vaikutusta sairaalan tuottavuuteen EKKS:n tapauksessa ja tämän perusteella tunnistettiin, miten THL:n julkaisemaa tuottavuustilastoa ja sisäistä tuottavuustietoa voidaan hyödyntää sairaalan johtamisen tukena. Pääasiallisena aineistona työssä käytettiin EKKS:n henkilöstön haastatteluja ja sairaalan taloudellisia raportteja sekä THL:n julkista ja julkaisematonta aineistoa. THL:n kehittämän hoitotoiminnan tuottavuuden mittaamismenetelmän havaittiin soveltuvan yksittäisen sairaalan käyttöön tietyin muutoksin. Vaadittavien muutosten lisäksi tutkimuksessa tunnistettiin taustatekijät, jotka THL:n tuottavuustilaston ja sisäisen tuottavuustiedon tulkitsijan tulee ottaa huomioon. EKKS:n tuottavuustietojen keruussa havaittiin kehittämiskohteita, joita paran-tamalla tuottavuustiedon luotettavuutta ja hyödynnettävyyttä voidaan edelleen kehittää. Tuottavuustiedon hyödyntämistä voidaan niin ikään edelleen kehittää EKKS:ssa.
Resumo:
The present study focuses on the zero person constructions both in Finnish and Estonian. In the zero person construction, there is no overt subject and the verb is in the 3rd person singular form: Fin. Tammikuussa voi hiihtää Etelä-Suomessakin. Est. Jaanuaris saab suusatada ka Lõuna-Soomes ‘In January one can ski even in South-Finland’. The meaning of the zero construction is usually considered generic and open. However, the zero may be interpreted as indexically open so that the reference can be construed from the context. This study demonstrates how the zero may be interpreted as referring to the speaker, the addressee, or anybody. The zero person construction in Finnish has been contrasted to the generic pronoun constructions in Indo-European languages. For example, the zero person is translated in English as you or one; in Swedish and German as man. The grammar and semantics of the Finnish zero person construction have been studied earlier to some extent. However, the differences and similarities between Finnish and Estonian, two closely related languages, have not been thoroughly studied before. The present doctoral thesis sheds light on the zero person construction, its use, functions, and interpretation both in Finnish and Estonian. The approach taken is contrastive. The data comes from magazine articles published in Finnish and translated into Estonian. The data consists of Finnish sentences with the zero person and their Estonian translations. In addition, the data includes literary fiction, and non-translated Estonian corpora texts as well. Estonian and Finnish are closely related and in principle the personal system of the two languages is almost identical, nevertheless, there are interesting differences. The present study shows that the zero person construction is not as common in Estonian as it is in Finnish. In my data, a typical sentence with the zero person in both languages is a generic statement which tells us what can or cannot be done. When making generic statements the two languages are relatively similar, especially when the zero person is used together with a modal verb. The modal verbs (eg. Fin. voida ‘can’, saada ‘may’, täytyä ‘must’; Est. võima ‘may’, saama ‘can’, tulema ’must’) are the most common verbs in both Finnish and Estonian zero person constructions. Significant differences appear when a non-modal verb is used. Overall, non-modal verbs are used less frequently in both languages. Verbs with relatively low agentivity or intentionality, such as perception verb nähdä in Finnish and nägema in Estonian, are used in the zero person clauses in both languages to certain extent. Verbs with more agentive and intentional properties are not used in the Estonian zero person clauses; in Finnish their use is restricted to specific context. The if–then-frame provides a suitable context for the zero person in Finnish, and the Finnish zero person may occur together with any kind of verb in conditional if-clause. Estonian if-clauses are not suitable contexts for zero person. There is usually a da-infinitive, a generic 2nd person singular or a passive form instead of the zero person in Estonian counterparts for Finnish if-clauses with zero person. The aim of this study was to analyze motivations for choosing the zero person in certain contexts. In Estonian, the use of the zero person constructions is more limited than in Finnish, and some of the constraints are grammatical. On the other hand, some of the constraints are motivated by the differences in actual language use. Contrasting the two languages reveals interesting differences and similarities between these two languages and shows how these languages may use similar means differently.
Resumo:
Singular Value Decomposition (SVD), Principal Component Analysis (PCA) and Multiple Linear Regression (MLR) are some of the mathematical pre- liminaries that are discussed prior to explaining PLS and PCR models. Both PLS and PCR are applied to real spectral data and their di erences and similarities are discussed in this thesis. The challenge lies in establishing the optimum number of components to be included in either of the models but this has been overcome by using various diagnostic tools suggested in this thesis. Correspondence analysis (CA) and PLS were applied to ecological data. The idea of CA was to correlate the macrophytes species and lakes. The di erences between PLS model for ecological data and PLS for spectral data are noted and explained in this thesis. i
Resumo:
Denna doktorsavhandling utreder hur finska grundskolelever använder de svenska substantivens bestämdhetsformer och artiklar och hur deras kunskaper utvecklas under årskurserna 7-9. Species och artikelbruk är problematiska för alla andraspråksinlärare i svenska, men de är synnerligen svåra för inlärare vars förstaspråk saknar morfologisk species. Det svenska systemet avviker också kraftigt från det motsvarande systemet i engelskan, varför tidigare kunskaper i engelska inte är till någon stor hjälp i inlärningen, låt vara att bestämdheten som begrepp redan är bekant för inläraren. Den teoretiska referensramen bygger på både grammatiska beskrivningar av den svenska grammatiken och på teorierna om grammatikinlärningen i andraspråk. Bland de sistnämnda är teorierna om tvärspråkligt inflytande, explicit respektive implicit inlärning samt helsekvensinlärning (på engelska formulaic language) av relevans. Undersökningsmaterialet består av korta texter samt inspelat muntligt material som med jämna mellanrum insamlats av finskspråkiga grundskolelever (n=67) som läser B-svenska. Undersökningen är i första hand kvantitativ, om än inmatningen av nominalfraserna i materialet samt deras formella och semantiska aspekter i analysprogrammet Microsoft Access också innebar en omfattande kvalitativ analys. Undersökningen bygger på performansanalysen och analysen av obligatoriska kontexter och beräkningen av frekvenser och korrekthetsprocent för de olika nominalfrastyperna. Informanterna använder komplext språk redan i årskurs 7. Korrekthetsprocenten stiger under undersökningstiden i de flesta frastyperna, men skillnaderna är sällan statistiskt signifikanta. Den normativa analysen visar också, att formfelen är i både det skriftliga och det muntliga materialet signifikant vanligare än speciesfelen. Det är med andra ord lättare för informanterna att välja rätt species än att bilda en korrekt nominalfras. I tidigare undersökningar i Sverige har likadana resultat nåtts. De mest centrala frastyperna i undersökningen bildar i båda typerna av materialet en inlärningsgång som upprepas i alla årskurser och kan förklaras med komplexitetsskillnaderna mellan de olika frastyperna. Informanterna behärskar bäst de frastyper, som varken innehåller artiklar eller ändelser. Näst bäst behärskar de substantivets bestämda form singularis och svagast obestämd form singularis, vars artikel är en klassisk svårighetskälla för finska svenskinlärare. Analysen av informanternas läromedel visar dock att den typiska undervisningsordningen i läromedlen inte motsvarar inlärningsgången som upptäckts i denna undersökning.
Resumo:
The aim of this thesis research was to gain a better understanding of the emplacement of rapakivi granite intrusions, as well as the emplacement of gold-bearing hydrothermal fluids in structurally controlled mineralizations. Based on investigations of the magnetic fabric, the internal structures could be analysed and the intrusion mechanisms for rapakivi granite intrusions and respectively different deformation stages within gold-bearing shear and fault zones identified. Aeromagnetic images revealed circular structures within the rapakivi granite batholiths of Wiborg, Vehmaa and Åland. These circular structures represent intrusions that eventually build up these large batholiths. The rapakivi granite intrusions of Vehmaa, Ruotsinpyhtää within the Wiborg batholith and Saltvik intrusions within the Åland batholith all show bimodal magnetic susceptibilities with paramagnetic and ferromagnetic components. The distribution of the bimodality is related to different magma batches of the studied intrusions. The anisotropy of magnetic susceptibility (AMS) reveals internal structures that cannot be studied macroscopically or by microscope. The Ruotsinpyhtää and Vehmaa intrusions represent similar intrusion geometries, with gently to moderately outward dipping magnetic foliations. In the case of Vehmaa, the magnetic lineations are gently plunging and trend in the directions of the slightly elongated intrusion. The magnetic lineations represent magma flow. The shapes of the AMS ellipsoids are also more planar (oblate) in the central part of the intrusion, whereas they become more linear (prolate) near the margin. These AMS results, together with field observations, indicate that the main intrusion mechanism has involved the subsidence of older blocks with successive intrusion of fractionated magma during repeated cauldron subsidence. The Saltvik area within the Åland batholith consists of a number of smaller elliptical intrusions of different rapakivi types forming a multiple intrusive complex. The magnetic fabric shows a general westward dipping of the pyterlite and eastward dipping of the contiguous even-grained rapakivi granite, which indicates a central inflow of magma batches towards the east and west resulting from a laccolitic emplacement of magma batches, while the main mechanism for space creation was derived from subsidence. The magnetic fabric of structurally controlled gold potential shear and fault zones in Jokisivu, Satulinmäki and Koijärvi was investigated in order to describe the internal structures and define the deformation history and emplacement of hydrothermal fluids. A further aim of the research was to combine AMS studies with palaeomagnetic methods to constrain the timing for the shearing event relative to the precipitation of ferromagnetic minerals and gold. All of the studied formations are dominated by monoclinic pyrrhotite. The AMS directions generally follow the tectonic structures within the formations. However, internal variations in the AMS direction as well as the shapes of the AMS ellipsoids are observed within the shear zones. In Jokisivu and Satulinmäki in particular, the magnetic signatures of the shear zone core differ from the margins. Furthermore, the shape of the magnetic fabric in the shear zone core of Jokisivu is dominated by oblate shapes, whereas the margins exhibit prolate shapes. These variations indicate a later effect of the hydrothermal fluids on the general shear event. The palaeo-magnetic results reveal a deflection from the original Svecofennian age geomagnetic direction. These results, coupled with correlations between the orientation of the NRM vectors and the magnetic and rock fabrics, imply that the gold-rich hydrothermal fluids were emplaced pre/syntectonically during the late stages of the Svecofennian orogeny.
Resumo:
Diplomityö käsittelee Helsingin sosiaali- ja terveysviraston palvelusetelitoimintaa eräänä ostopalvelun järjestämistapana. Vakinaistettuja palveluseteleitä on kaksi-toista, joista työhön on valittu viisi kustannuksiltaan ja lukumääriltään suurinta palveluseteliä. Tutkimuksessa mallinnetaan kahden keskenään erilaisimman palve-lusetelin prosessikuvaukset, vanhusten palveluasumisen (sosh) ja suun terveyden-huollon (tervh) palveluseteleille ja kuvataan niiden hallinnolliset työvaiheet ja toi-minnot. Empiirinen aineisto koostuu aiemmin kerätystä hallinnollisen työajan da-tasta, jonka avulla eri toimintoihin sitoutuneiden hallinnollisten kustannuksien las-kenta on suoritettu hyödyntäen aikaperusteista toimintolaskentaa. Aikaperusteisen toimintolaskennan avulla saadaan esille kirjanpidon ulkopuolelle jääviä piileviä prosessikustannuksia. Lisäksi diplomityössä tehdään edullisuusvertailua oman vas-taavan palvelutoiminnan ja palvelusetelien välillä. Terveydenhuollon palvelusetelien hallinnolliset prosessit osoittautuvat hallinnolli-sesti ja kustannuksien osalta kuormittavammaksi kuin sosiaalihuollon vastaavat prosessit. Terveydenhuollon palveluseteliprosessit ovat luonteeltaan monivaihei-sempia, ne ovat toimenpiteellisiä ja kertaluonteisia, joka lisää asiakasvolyymia ja tiedon välittämisen tarvetta sosiaali- ja terveysviraston ja palveluntuottajan välillä. Hallinnollinen kustannuslisä on vuoden 2013 palvelusetelitoiminnan volyymeillä suun terveydenhuollossa +24%, kolonoskopiassa +9%, ikäihmisten päivätoimin-nassa +8%, vammaisten henkilökohtaisessa avussa +5% ja vanhusten palveluasu-misessa +1%. Hallinnollisten kustannusten esiin tuomiseksi tulee terveydenhuollon palvelusetelien kirjanpidon kustannuksissa käyttää kerrointa 1,167 ja sosiaalihuol-lon palvelusetelien kustannuksissa kerrointa 1,046. Edullisuusvertailussa suun terveydenhuollon ja kolonoskopian palvelusetelit osoittautuvat omaa toimintaa kalliimmiksi, vanhusten palveluasuminen, ikäihmisten päivätoiminta ja vammais-ten henkilökohtainen apu on edullisempaa tuottaa palvelusetelillä. Palveluseteli-toiminnan kustannushyöty ei ole ainoa tekijä toimintaa suunnitelleessa. Hoitota-kuuseen vastaaminen, asiakasorientaation ja vapaavalintaisuuden lisääntyminen, sekä palvelun sujuvuus vaikuttavat myös palvelusetelitoiminnan kehittämisessä.
Resumo:
The desire to create a statistical or mathematical model, which would allow predicting the future changes in stock prices, was born many years ago. Economists and mathematicians are trying to solve this task by applying statistical analysis and physical laws, but there are still no satisfactory results. The main reason for this is that a stock exchange is a non-stationary, unstable and complex system, which is influenced by many factors. In this thesis the New York Stock Exchange was considered as the system to be explored. A topological analysis, basic statistical tools and singular value decomposition were conducted for understanding the behavior of the market. Two methods for normalization of initial daily closure prices by Dow Jones and S&P500 were introduced and applied for further analysis. As a result, some unexpected features were identified, such as a shape of distribution of correlation matrix, a bulk of which is shifted to the right hand side with respect to zero. Also non-ergodicity of NYSE was confirmed graphically. It was shown, that singular vectors differ from each other by a constant factor. There are for certain results no clear conclusions from this work, but it creates a good basis for the further analysis of market topology.
Resumo:
Within the last few decades, the videogame has become an important media, economic, and cultural phenomenon. Along with the phenomenon’s proliferation the aspects that constitute its identity have become more and more challenging to determine, however. The persistent surfacing of novel ludic forms continues to expand the conceptual range of ‘games’ and ‘videogames,’ which has already lead to anxious generalizations within academic as well as popular discourses. Such generalizations make it increasingly difficult to comprehend how the instances of this phenomenon actually work, which in turn generates pragmatic problems: the lack of an applicable identification of the videogame hinders its study, play, and everyday conceptualization. To counteract these problems this dissertation establishes a geneontological research methodology that enables the identification of the videogame in relation to its cultural surroundings. Videogames are theorized as ‘games,’ ‘puzzles,’ ‘stories,’ and ‘aesthetic artifacts’ (or ‘artworks’), which produces a geneontological sequence of the videogame as a singular species of culture, Artefactum ludus ludus, or ludom for short. According to this sequence, the videogame’s position as a ‘game’ in the historicized evolution of culture is mainly metaphorical, while at the same time its artifactuality, dynamic system structure, time-critical strategic input requirements and aporetically rhematic aesthetics allow it to be discovered as a conceptually stable but empirically transient uniexistential phenomenon that currently thrivesbut may soon die out.
Resumo:
Questions concerning perception are as old as the field of philosophy itself. Using the first-person perspective as a starting point and philosophical documents, the study examines the relationship between knowledge and perception. The problem is that of how one knows what one immediately perceives. The everyday belief that an object of perception is known to be a material object on grounds of perception is demonstrated as unreliable. It is possible that directly perceived sensible particulars are mind-internal images, shapes, sounds, touches, tastes and smells. According to the appearance/reality distinction, the world of perception is the apparent realm, not the real external world. However, the distinction does not necessarily refute the existence of the external world. We have a causal connection with the external world via mind-internal particulars, and therefore we have indirect knowledge about the external world through perceptual experience. The research especially concerns the reasons for George Berkeley’s claim that material things are mind-dependent ideas that really are perceived. The necessity of a perceiver’s own qualities for perceptual experience, such as mind, consciousness, and the brain, supports the causal theory of perception. Finally, it is asked why mind-internal entities are present when perceiving an object. Perception would not directly discern material objects without the presupposition of extra entities located between a perceiver and the external world. Nevertheless, the results show that perception is not sufficient to know what a perceptual object is, and that the existence of appearances is necessary to know that the external world is being perceived. However, the impossibility of matter does not follow from Berkeley’s theory. The main result of the research is that singular knowledge claims about the external world never refer directly and immediately to the objects of the external world. A perceiver’s own qualities affect how perceptual objects appear in a perceptual situation.
Resumo:
This dissertation examines parental disciplinary violence against children in authority records and in the criminal procedure in Finland. The main aim is to analyze disciplinary violence, how it is defined, and how it is constructed as a crime by social workers, the police, and parents. This dissertation consists of four sub-studies and a summary article. In the first sub-study, I examine how disciplinary violence appears in child welfare documents and analyze the decision-making processes and measures taken by the child welfare workers. The second sub-study, utilizing police interview data, examines police officers’ perceptions of disciplinary violence, its criminalization, and its investigation. In addition to this analysis of police officers’ own perceptions, in the third sub-study, I use reports of crime and pre-trial investigation documents to look at what a typical suspicion of disciplinary violence coming to the attention of the police is and examine the decision-making processes of the police. Utilizing authority data, the fourth sub-study analyzes how parents rationalize the use of disciplinary violence to the authorities investigating these suspicions. The research provides findings that are unprecedented in Finland. Firstly, it was shown that social workers’ decision-making processes in suspicions of disciplinary violence follow three pathways of reasoning, with many factors taken into consideration; and in less than one-third of the cases, a request for criminal investigation has been made to the police. Secondly, it was verified that police officers hold different perceptions of disciplinary violence, and these perceptions have multiple effects on the investigation of these cases and the construction of disciplinary violence as a crime. Thirdly, the analysis of the reports of crime and pre-trial investigation documents showed that almost two-thirds of the cases of disciplinary violence had been sent to a prosecutor by the police and, thus, defined as a crime. However, in many cases, acts of disciplinary violence were often seen as ‘educational, petty one-off incidents’ and a possible trial and punishment for the perpetrator were seen as unreasonable. Fourthly, it was found that parents often try to neutralize and rationalize the violence they have used against their children, for example, either by denying the victim, the criminal intent, or the entire act, or relying on the necessity of the forbidden act. The dissertation concludes that disciplinary violence is defined and constructed in authority policies and practices, first and foremost, by the severity of the act, the nature of the act as continuous or singular, the perceived harm caused by the act to a child, and the perceptions of authorities regarding physical punishment of children. The asymmetrical power setting present in disciplinary violence and parents’ legitimized right to raise and discipline their children partly seem to explain why criminal-law processing of these suspicions of violence and understanding these as crimes is difficult. Finally, this research calls for more coherent and consistent authority practices and policies, achieved by educating authorities and increasing awareness on disciplinary violence, questions the need for a concept like ‘disciplinary’ violence, and suggests more emphasis on unambiguous perceptions of a child’s best interest.
Resumo:
Various researches in the field of econophysics has shown that fluid flow have analogous phenomena in financial market behavior, the typical parallelism being delivered between energy in fluids and information on markets. However, the geometry of the manifold on which market dynamics act out their dynamics (corporate space) is not yet known. In this thesis, utilizing a Seven year time series of prices of stocks used to compute S&P500 index on the New York Stock Exchange, we have created local chart to the corporate space with the goal of finding standing waves and other soliton like patterns in the behavior of stock price deviations from the S&P500 index. By first calculating the correlation matrix of normalized stock price deviations from the S&P500 index, we have performed a local singular value decomposition over a set of four different time windows as guides to the nature of patterns that may emerge. I turns out that in almost all cases, each singular vector is essentially determined by relatively small set of companies with big positive or negative weights on that singular vector. Over particular time windows, sometimes these weights are strongly correlated with at least one industrial sector and certain sectors are more prone to fast dynamics whereas others have longer standing waves.