The document discusses homework assignments and working in groups. It reminds students to ensure all homework questions have been addressed and directs groups to start working together on homework number 5. It also includes a quote about the importance of direction over current position.
This document contains two problems about hyperbolas:
[1] It gives the vertices and foci of a hyperbola and asks to find the standard form equation. The vertices are (±2, 0) and the foci are (±3, 0). The standard form equation is calculated to be x^2/4 - y^2/5 = 1.
[2] It gives the vertices and asymptotes of another hyperbola and asks to find the equation and foci. The vertices are (0, ±4) and the asymptotes are y = ±4x. The standard form equation is calculated to be y^2/16 - x^2 = 1, and the
The document provides an overview of various topics in analytic geometry, including circle equations, distance equations, systems of two and three variable equations, linear inequalities, rational inequalities, and intersections of inequalities. It defines key concepts, provides examples of how to solve different types of problems, and notes things to remember when working with inequalities.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like depression and anxiety.
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Students will complete a project on conic sections for their Algebra II Honors/GT class. Conic sections include circles, ellipses, parabolas, and hyperbolas. The project will require students to research and demonstrate their understanding of the key properties and equations of conic sections.
The document describes a project for students to create artwork using graphs of conic sections on a graphing calculator. Students are asked to draw a picture incorporating various conic section graphs and write the equation for each part. They then program their graphing calculator to display the completed picture. The project aims to help students learn about different types of conic sections as they work on creating their artwork and finding the corresponding equations throughout the unit.
The document discusses the different conic sections - parabolas, circles, ellipses, and hyperbolas. It provides their standard equations showing the relationship between x and y coordinates, and defines important properties of each type of conic section like foci, directrix, axes and vertices.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
The document discusses three types of symmetry for graphs: x-axis symmetry, where (x,y) corresponds to (x,-y); y-axis symmetry, where (x,y) corresponds to (-x,y); and origin symmetry, where (x,y) corresponds to (-x,-y). It provides tests for each type of symmetry by replacing variables in the graphing equation. An example at the end finds no x-axis or origin symmetry but y-axis symmetry.
The document discusses the arithmetic of elliptic curves. It begins by introducing elliptic curves and their group structure under addition. It describes how points on an elliptic curve form an abelian group and that rational points form a subgroup. It then discusses points of finite order, including points of order 2 and 3. The Nagell-Lutz theorem and Mazur's theorem characterize rational points of finite order. Finally, it introduces Mordell's theorem, which states that the group of rational points on an elliptic curve is finitely generated.
Gives a basic idea of Finite field theory and its uses in Elliptic cure cryptography. ECDLP and Diffie Helman key exchange and Elgamal Encryption with ECC.
This document provides information about ellipses including their standard forms, properties, and how to find key features like the center, axes, and foci from their equations. It defines an ellipse as all points where the sum of the distances to two fixed points (foci) is a constant. Standard forms of ellipses are given depending on the orientation of their major and minor axes. Methods are described for finding the general form, center, axes lengths, vertices and foci from the ellipse equation.
This document discusses various conic sections including parabolas, hyperbolas, circles and ellipses. These curves are formed by the intersection of a plane with a double napped right circular cone. The type of conic section depends on the angle between the plane and the cone. Parabolas have a focus and directrix. Ellipses have two fixed foci and the sum of the distances from any point on the ellipse to the two foci is a constant. Hyperbolas also have two foci but the difference of the distances from any point to the two foci is a constant. Key properties of each type of conic section such as axes, foci, eccentricity and latus rectum are
Spot the Dog: An overview of semantic retrieval of unannotated images in the ...Jonathon Hare
This document discusses using computational techniques to semantically retrieve unannotated images by enabling textual search of imagery without metadata. It describes:
1) Using exemplar image/metadata pairs to learn relationships between visual features and metadata, then projecting this to retrieve unannotated images.
2) Representing images as "visual terms" like words in text.
3) Creating a multidimensional "semantic space" where related images, terms and keywords are placed closely together based on training. This allows retrieving unannotated images that lie near descriptive keywords.
4) Experimental retrieval results on a Corel dataset, showing the approach works better for keywords associated with colors than others. The approach takes progress but significant challenges remain.
An inclinometer or clinometer is an instrument used to measure angles of slope or tilt with respect to gravity. Foresters use clinometers and basic trigonometry to measure the height and slope of trees. They stand at a fixed distance from the tree and measure the angle to the top and bottom to calculate the total height. Clinometers are also used to measure terrain slopes and are applied in surveying, safety systems, monitoring movements, and adjusting equipment angles.
Conics are geometric shapes defined by the intersection of a cone with a plane. Common conics include circles, ellipses, parabolas, and hyperbolas. Each conic section has a unique mathematical formula that describes its shape.
A Linear-Algebraic Technique with an Application in Semantic Image RetrievalJonathon Hare
Image and Video Retrieval: 5th International Conference, CIVR 2006, Tempe, AZ, USA, July 2006.
http://eprints.soton.ac.uk/262870/
This paper presents a novel technique for learning the underlying structure that links visual observations with semantics. The technique, inspired by a text-retrieval technique known as cross-language latent semantic indexing uses linear algebra to learn the semantic structure linking image features and keywords from a training set of annotated images. This structure can then be applied to unannotated images, thus providing the ability to search the unannotated images based on keyword. This factorisation approach is shown to perform well, even when using only simple global image features.
Conic sections are shapes formed by the intersection of a plane and a double cone. A hyperbola occurs if the plane cuts through both cones. A parabola occurs if the plane is parallel to the edge of the cone. An ellipse occurs if the plane is not parallel or cutting through both cones. A circle is a special case of an ellipse where the plane is perpendicular to the altitude of the cone.
This document discusses the standard forms of ellipses and provides formulas for the coefficients, length of latus rectum, and eccentricity. It also gives examples of finding the equation of an ellipse given properties like the foci, vertex, endpoints of the minor axis, and eccentricity.
The document discusses the history and development of cars and transportation. It notes that the first car was invented in 1886 by Carl Benz, sparking innovations that continue today. During the 20th century, cars, trucks and buses became the main means of transportation. The document also discusses how geometry and engineering principles are used in car design and how engines, transmissions, and other systems work together to power and control a vehicle's movement. It questions how braking systems function and envisions future advanced transportation technologies. Overall, the document explores the connections between math, engineering, and the evolution of automobiles and transportation over time.
Math is essential for video games to calculate things like the trajectory of objects in games and ensuring characters land properly. Game programming relies heavily on math through functions that power game mechanics and calculations. Many areas of math are used in games including algebra, trigonometry, calculus, and linear algebra. Specific examples from League of Legends are shown where math is applied for abilities and damage calculations. Graphics also involve math for perspective, proportions, scales and more. Statistics and randomization elements in games also rely on mathematical concepts and calculations.
The document discusses homework assignments and working in groups. It reminds students to ensure all homework questions have been addressed and directs groups to start working together on homework number 5. It also includes a quote about the importance of direction over current position.
This document contains two problems about hyperbolas:
[1] It gives the vertices and foci of a hyperbola and asks to find the standard form equation. The vertices are (±2, 0) and the foci are (±3, 0). The standard form equation is calculated to be x^2/4 - y^2/5 = 1.
[2] It gives the vertices and asymptotes of another hyperbola and asks to find the equation and foci. The vertices are (0, ±4) and the asymptotes are y = ±4x. The standard form equation is calculated to be y^2/16 - x^2 = 1, and the
The document provides an overview of various topics in analytic geometry, including circle equations, distance equations, systems of two and three variable equations, linear inequalities, rational inequalities, and intersections of inequalities. It defines key concepts, provides examples of how to solve different types of problems, and notes things to remember when working with inequalities.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like depression and anxiety.
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Students will complete a project on conic sections for their Algebra II Honors/GT class. Conic sections include circles, ellipses, parabolas, and hyperbolas. The project will require students to research and demonstrate their understanding of the key properties and equations of conic sections.
The document describes a project for students to create artwork using graphs of conic sections on a graphing calculator. Students are asked to draw a picture incorporating various conic section graphs and write the equation for each part. They then program their graphing calculator to display the completed picture. The project aims to help students learn about different types of conic sections as they work on creating their artwork and finding the corresponding equations throughout the unit.
The document discusses the different conic sections - parabolas, circles, ellipses, and hyperbolas. It provides their standard equations showing the relationship between x and y coordinates, and defines important properties of each type of conic section like foci, directrix, axes and vertices.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
The document discusses three types of symmetry for graphs: x-axis symmetry, where (x,y) corresponds to (x,-y); y-axis symmetry, where (x,y) corresponds to (-x,y); and origin symmetry, where (x,y) corresponds to (-x,-y). It provides tests for each type of symmetry by replacing variables in the graphing equation. An example at the end finds no x-axis or origin symmetry but y-axis symmetry.
The document discusses the arithmetic of elliptic curves. It begins by introducing elliptic curves and their group structure under addition. It describes how points on an elliptic curve form an abelian group and that rational points form a subgroup. It then discusses points of finite order, including points of order 2 and 3. The Nagell-Lutz theorem and Mazur's theorem characterize rational points of finite order. Finally, it introduces Mordell's theorem, which states that the group of rational points on an elliptic curve is finitely generated.
Gives a basic idea of Finite field theory and its uses in Elliptic cure cryptography. ECDLP and Diffie Helman key exchange and Elgamal Encryption with ECC.
This document provides information about ellipses including their standard forms, properties, and how to find key features like the center, axes, and foci from their equations. It defines an ellipse as all points where the sum of the distances to two fixed points (foci) is a constant. Standard forms of ellipses are given depending on the orientation of their major and minor axes. Methods are described for finding the general form, center, axes lengths, vertices and foci from the ellipse equation.
This document discusses various conic sections including parabolas, hyperbolas, circles and ellipses. These curves are formed by the intersection of a plane with a double napped right circular cone. The type of conic section depends on the angle between the plane and the cone. Parabolas have a focus and directrix. Ellipses have two fixed foci and the sum of the distances from any point on the ellipse to the two foci is a constant. Hyperbolas also have two foci but the difference of the distances from any point to the two foci is a constant. Key properties of each type of conic section such as axes, foci, eccentricity and latus rectum are
Spot the Dog: An overview of semantic retrieval of unannotated images in the ...Jonathon Hare
This document discusses using computational techniques to semantically retrieve unannotated images by enabling textual search of imagery without metadata. It describes:
1) Using exemplar image/metadata pairs to learn relationships between visual features and metadata, then projecting this to retrieve unannotated images.
2) Representing images as "visual terms" like words in text.
3) Creating a multidimensional "semantic space" where related images, terms and keywords are placed closely together based on training. This allows retrieving unannotated images that lie near descriptive keywords.
4) Experimental retrieval results on a Corel dataset, showing the approach works better for keywords associated with colors than others. The approach takes progress but significant challenges remain.
An inclinometer or clinometer is an instrument used to measure angles of slope or tilt with respect to gravity. Foresters use clinometers and basic trigonometry to measure the height and slope of trees. They stand at a fixed distance from the tree and measure the angle to the top and bottom to calculate the total height. Clinometers are also used to measure terrain slopes and are applied in surveying, safety systems, monitoring movements, and adjusting equipment angles.
Conics are geometric shapes defined by the intersection of a cone with a plane. Common conics include circles, ellipses, parabolas, and hyperbolas. Each conic section has a unique mathematical formula that describes its shape.
A Linear-Algebraic Technique with an Application in Semantic Image RetrievalJonathon Hare
Image and Video Retrieval: 5th International Conference, CIVR 2006, Tempe, AZ, USA, July 2006.
http://eprints.soton.ac.uk/262870/
This paper presents a novel technique for learning the underlying structure that links visual observations with semantics. The technique, inspired by a text-retrieval technique known as cross-language latent semantic indexing uses linear algebra to learn the semantic structure linking image features and keywords from a training set of annotated images. This structure can then be applied to unannotated images, thus providing the ability to search the unannotated images based on keyword. This factorisation approach is shown to perform well, even when using only simple global image features.
Conic sections are shapes formed by the intersection of a plane and a double cone. A hyperbola occurs if the plane cuts through both cones. A parabola occurs if the plane is parallel to the edge of the cone. An ellipse occurs if the plane is not parallel or cutting through both cones. A circle is a special case of an ellipse where the plane is perpendicular to the altitude of the cone.
This document discusses the standard forms of ellipses and provides formulas for the coefficients, length of latus rectum, and eccentricity. It also gives examples of finding the equation of an ellipse given properties like the foci, vertex, endpoints of the minor axis, and eccentricity.
The document discusses the history and development of cars and transportation. It notes that the first car was invented in 1886 by Carl Benz, sparking innovations that continue today. During the 20th century, cars, trucks and buses became the main means of transportation. The document also discusses how geometry and engineering principles are used in car design and how engines, transmissions, and other systems work together to power and control a vehicle's movement. It questions how braking systems function and envisions future advanced transportation technologies. Overall, the document explores the connections between math, engineering, and the evolution of automobiles and transportation over time.
Math is essential for video games to calculate things like the trajectory of objects in games and ensuring characters land properly. Game programming relies heavily on math through functions that power game mechanics and calculations. Many areas of math are used in games including algebra, trigonometry, calculus, and linear algebra. Specific examples from League of Legends are shown where math is applied for abilities and damage calculations. Graphics also involve math for perspective, proportions, scales and more. Statistics and randomization elements in games also rely on mathematical concepts and calculations.
This document discusses the use of mathematics in sports like football. It provides some examples:
- Probabilities, counting, combinations and assessments are common calculations used in sports without realizing it.
- Football requires applications of mathematics - things like the average distance to an opponent, average time for an opponent to run a certain distance, and pressure and force calculations for things like kicking a ball.
- Different types of tournaments use mathematical structures, like round robin tournaments that can be modeled with graph theory and elimination tournaments that have semifinals and finals to determine a winner.
This document discusses the relationship between mathematics and economics. It provides an overview of key economic concepts like microeconomics, macroeconomics, demand, supply, and market equilibrium. It also presents an investment analysis for opening a shopping mall in Koprivnica, Croatia. The analysis includes market research on existing stores, projected expenses and revenues over 4 years, and a calculation showing the project would earn a profit and is therefore a viable investment. In conclusion, the document emphasizes that mathematics and economics are all around us in everyday activities like shopping and are important concepts to understand.
1. Sjednica Nastavničkog vijeća 11.11.2013.
MOBILNOST U KOPRIVNICU
COMENIUS PROJEKT – SAVE THE PAST, LIVE THE
PRESENT, IMAGINE THE FUTURE
30. 9. – 4. 10. 2013.
Marina Njerš, prof.
44. Dojmovi
Osjeća se da ste vi uistinu škola – učenici, profesori, svi uživate
u ovome što ste nam priredili. (Irina, Latvija)
Vi stvarno imate školu budućnosti! (Marta, Poljska)
Na ovako svetom mjestu još nisam molio. (Ceyhun, Turska)
Visoko postavljena ljestvica drugima. (Alina, Rumunjska)
for me, i cant explain what a nice meeting that i had. why it is
finished sometimes we felt as child and sometimes felt in
paradise. i didnt see my headmaster when singing before
The meeting had very rich activities for students so i m sorry
not to bring students to Croatia. (Ahmet ÇETİNTAŞ, Turska)
45. Dojmovi
Izuzetno sadržajan i poučan, ali istovremeno opušten i ležeran. To je moj
Comenius tjedan.Optimalna doza edukacije i slobodnog druženja,
gostoprimstvo naših učenika domaćina i njihovih roditelja, mnogo vremena
provedenog u prirodi, uživanje u kulinarskim specijalitetima našeg kraja,
kulturna baština,uključivanje u sportske aktivnosti......sve je to mamilo
osmjehe na lica naših gostiju.
Besprijekorna organizacija, izuzetno zalaganje domaćina i timski rad
rezultirali su zahvalnošću i zadovoljstvom naših gostiju.
A veća nagrada od te ne postoji. (Natalija)
Moji dojmovi su odlični, sve je bilo odlično organizirano i nije bilo nimalo
dosadno iako smo mi domaćini većinu toga u Podravini vidjeli. S mojom
gošćom Dianom iz Latvije sam se super slagala iako je stalno kasnila kamo
god išli i uvijek se odvajala od grupe, ali je bila jako draga i super smo se
zabavljale izvan "radnog vremena". Ostale smo u kontaktu te se čujemo
skoro svaki dan. Sve je bilo super osim vremena koje nam je kvarilo
aktivnosti tijekom većine tjedna. (Petra)
46. Donatori
Koprivničko – križevačka županija
Podravka d.d.
Podravka – Kulinarstvo
Galerija Josip Generalić
Frizerski salon „Mulier“
Milan Generalić
KUD „Fran Galović“ Peteranec
Udruga žena Peteranec
Udruga Anno domini
Svjećarski i medičarski obrt Špičko
Turistički ured grada Koprivnice
Staklarski obrt Triplat
Mljekara „Horizont“
Pekara Dora
Pekarnica „Beny“
Žitopek pekara t.o.
Kaufland
KTC
SIZIM d.o.o Veliki Otok
Hrvoje Petrović
Marina Furkes
Miljenko Flajs
Damir Varga
Marija Grgac
Jasna Šepec
Nevenko Jakopović
Darko Markač
Kruno Jukić
Sebastijan Balaško
Ivica Oršoš
Željka Peić
Željko Đurišević
Tomislav Lončar
Zdenka Radić
Marina Paleka
Dario Horvat
Davor Bukovčan
Maja Rastoder
Grad Đurđevac
Jelena Vargović
Antonio Stipan
Galerija Stari grad Đurđevac
Slavko Harambašić
Županijski centar 112 Koprivnica
Postaja prometne policije Koprivnica
Dragutin Ciglar
Zlatko Sedlanić
Lovački savez Koprivničko –
križevačke županije
Lovačka udrga Đurđevac
Lovačka udruga Virje
Lovačka udruga „Srndać“
Mal d.o.o
DV „Smiješak“
