1.17.08 General Trig Equations
•Download as PPT, PDF•
0 likes•593 views
Trigonometric equations may have multiple solutions that must be found. To solve such an equation: isolate the trigonometric function, use the inverse function to find the first solution, use the unit circle to find a second solution, and use the periodic nature of trig functions to state the general solution accounting for all possibilities. For example, isolate the trig function, use the inverse to find one solution, use the unit circle to find another, and use periodicity to give the full general solution.
Report
Share
Report
Share
![Trigonometric Equations When we solve an equation such as we must be sure to include all possible solutions. It may very be the case that we disregard most of these, but it is important to know what they are. ,[object Object],[object Object],[object Object],[object Object],[object Object]](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Recommended
1.22.08 Harder Trig Equations 1
This document outlines the steps for solving trigonometric equations: 1) Isolate the trigonometric function, 2) Use the inverse trigonometric function to find one solution, 3) Use the unit circle to find a second solution and state the general periodic solution. Sometimes isolating the trigonometric function can be more difficult.
Solving trigonometric equations 1
This document discusses solving trigonometric equations. It begins by introducing trigonometric equations and noting that they involve trigonometric functions. It states that solving trigonometric equations is similar to solving other types of equations, but trigonometric functions are periodic so equations may have infinite solutions. The document then provides examples of solving trigonometric equations over given intervals and discusses how equations may have infinitely many solutions due to the periodic nature of trigonometric functions.
Trig Equations For Upload
The document discusses steps for solving trigonometric equations: 1) isolate the trigonometric function, 2) use an inverse trig function to find one solution, 3) use the unit circle to find a second solution, and 4) use periodicity to state the general solution. It provides an example of applying these steps and notes that sometimes isolating the trig function can be more difficult for more complicated equations.
Solving trigonometric equations 2
This document discusses solving trigonometric equations. It provides examples of solving trigonometric equations by using trigonometric identities to isolate the variable. Solutions may involve factoring expressions or using trigonometric properties like csc^2(x) = 1 + cot^2(x). The document also notes that some equations have no solution if the trigonometric function values are outside their normal range. Students are given examples to practice solving trigonometric equations.
Intervals of validity
This document discusses intervals of validity for solutions to differential equations. It presents two theorems, one for linear first-order equations and one for non-linear equations. The linear theorem guarantees a unique solution over intervals where coefficients are continuous, allowing validity intervals to be found without solving the equation. However, for non-linear equations the solution must be found to determine the validity interval, which can depend on the initial condition. Examples illustrate finding validity intervals, the possibility of multiple solutions if theorem conditions are violated, and how validity intervals can depend on initial conditions for non-linear equations.
Lec17
1) The document discusses the performance of first order systems by analyzing their unit impulse, unit step, and unit ramp responses.
2) It defines the time constant of a first order stable system as the time taken for the unit step response to reach 63.2% of its final value.
3) The settling time is defined as the time required for the unit step response to settle within 2% of its final value, which is about 4 times the time constant. These parameters characterize how fast a system responds.
Modelling with first order differential equations
The document discusses modelling physical situations using first order differential equations. It provides examples of modelling mixing problems, population problems, and falling bodies. Mixing problems involve substances dissolving in liquids entering and leaving tanks, and assume uniform concentration. Population problems use differential equations to model population growth or decline based on birth, death, migration rates. The examples solve related initial value problems and differential equations to determine outcomes like amount of substance in a tank or population size over time.
Review taylor series
This document provides an overview and examples of Taylor series. Taylor series approximate functions as infinite sums involving derivatives of the function evaluated at a specific point. The document reviews the formula for Taylor series and provides examples of determining Taylor series for common functions like cosine, sine and exponential functions. It demonstrates how to find Taylor series about different points and discusses cases where the Taylor series may terminate after a finite number of terms.
Recommended
1.22.08 Harder Trig Equations 1
This document outlines the steps for solving trigonometric equations: 1) Isolate the trigonometric function, 2) Use the inverse trigonometric function to find one solution, 3) Use the unit circle to find a second solution and state the general periodic solution. Sometimes isolating the trigonometric function can be more difficult.
Solving trigonometric equations 1
This document discusses solving trigonometric equations. It begins by introducing trigonometric equations and noting that they involve trigonometric functions. It states that solving trigonometric equations is similar to solving other types of equations, but trigonometric functions are periodic so equations may have infinite solutions. The document then provides examples of solving trigonometric equations over given intervals and discusses how equations may have infinitely many solutions due to the periodic nature of trigonometric functions.
Trig Equations For Upload
The document discusses steps for solving trigonometric equations: 1) isolate the trigonometric function, 2) use an inverse trig function to find one solution, 3) use the unit circle to find a second solution, and 4) use periodicity to state the general solution. It provides an example of applying these steps and notes that sometimes isolating the trig function can be more difficult for more complicated equations.
Solving trigonometric equations 2
This document discusses solving trigonometric equations. It provides examples of solving trigonometric equations by using trigonometric identities to isolate the variable. Solutions may involve factoring expressions or using trigonometric properties like csc^2(x) = 1 + cot^2(x). The document also notes that some equations have no solution if the trigonometric function values are outside their normal range. Students are given examples to practice solving trigonometric equations.
Intervals of validity
This document discusses intervals of validity for solutions to differential equations. It presents two theorems, one for linear first-order equations and one for non-linear equations. The linear theorem guarantees a unique solution over intervals where coefficients are continuous, allowing validity intervals to be found without solving the equation. However, for non-linear equations the solution must be found to determine the validity interval, which can depend on the initial condition. Examples illustrate finding validity intervals, the possibility of multiple solutions if theorem conditions are violated, and how validity intervals can depend on initial conditions for non-linear equations.
Lec17
1) The document discusses the performance of first order systems by analyzing their unit impulse, unit step, and unit ramp responses.
2) It defines the time constant of a first order stable system as the time taken for the unit step response to reach 63.2% of its final value.
3) The settling time is defined as the time required for the unit step response to settle within 2% of its final value, which is about 4 times the time constant. These parameters characterize how fast a system responds.
Modelling with first order differential equations
The document discusses modelling physical situations using first order differential equations. It provides examples of modelling mixing problems, population problems, and falling bodies. Mixing problems involve substances dissolving in liquids entering and leaving tanks, and assume uniform concentration. Population problems use differential equations to model population growth or decline based on birth, death, migration rates. The examples solve related initial value problems and differential equations to determine outcomes like amount of substance in a tank or population size over time.
Review taylor series
This document provides an overview and examples of Taylor series. Taylor series approximate functions as infinite sums involving derivatives of the function evaluated at a specific point. The document reviews the formula for Taylor series and provides examples of determining Taylor series for common functions like cosine, sine and exponential functions. It demonstrates how to find Taylor series about different points and discusses cases where the Taylor series may terminate after a finite number of terms.
Perturbation methods last
This document provides an overview of perturbation techniques for analyzing heat transfer problems. It discusses several objectives: to demonstrate the usefulness of perturbation techniques; to assist unfamiliar readers in understanding the techniques; and to show how the techniques are applied to specific problems. The document then reviews various perturbation methods - regular perturbation method, method of strained coordinates, method of matched asymptotic expansions, and method of extended perturbation series. It also discusses limitations and advantages of perturbation methods.
Final review flash cards
This document outlines several applications of calculus derivatives including:
- Finding absolute and local extrema by setting the derivative equal to zero and determining the highest/lowest points.
- Relating position, velocity and acceleration through their derivatives.
- Using related rates to find missing rates by setting up equations with variables and their derivatives using relationships like the Pythagorean theorem.
- Optimizing functions by setting up two equations, substituting one variable, taking the derivative and setting it equal to zero to find the maximum or minimum value.
3 handouts section3-1
This section discusses differentiating polynomials and exponential functions. It introduces the power rule formula for differentiation and formulas for differentiating functions involving the exponential function e^x. It also covers applying derivatives to find tangent lines by relating the slope of a curve at a point to the slope of the tangent line at that point. The section concludes by noting how slopes and tangent lines will be further explored in later sections.
Iterative methods
The document discusses two iterative methods for solving linear equation systems: Thomas method and Cholesky method. Thomas method is used for tridiagonal matrices and involves factorizing the matrix into lower and upper triangular matrices (L and U) and then solving for the vector D using L and then solving for the solution vector X using U. Cholesky method was also mentioned but not described.
V2chap3
This chapter discusses static equilibrium, where an object is not moving or rotating. Conditions for static equilibrium are that the net force and net torque on an object must equal zero. Examples of rigid bodies in static equilibrium are analyzed by identifying all forces, drawing free body diagrams, and writing the static equilibrium equations to solve for unknown forces. Worked examples include finding tensions in interconnecting strings and cables for systems of hanging masses, and determining horizontal and vertical force components from a hinge on a strut with hanging masses.
Nota algebra
This document discusses the substitution method for solving systems of linear equations in two variables. It begins with an overview of the substitution property and two review examples. It then provides two examples of using substitution to solve systems. Several practice problems with solutions follow to illustrate applying the substitution method. The document concludes by noting that using substitution, graphing or elimination methods finds the point where the lines intersect, or determines if there is no solution.
Invariant Manifolds, Passage through Resonance, Stability and a Computer Assi...
1) The document is a dissertation submitted to ETH Zurich that studies invariant manifolds, passage through resonance, stability, and applies these concepts to a synchronous motor model.
2) It first develops theory for a general Hamiltonian system coupled to a linear system by weak periodic perturbations, showing the persistence of invariant manifolds. It then uses averaging techniques to analyze global dynamics, assuming a finite number of resonances.
3) It represents the reduced system in a way suitable for stability analysis, covering both non-degenerate and degenerate cases.
4) The second part applies these methods to explicitly model a miniature synchronous motor, analytically deriving approximations and numerically simulating and confirming the dynamics, showing approach
Mean Squared Error (MSE) of an Estimator
Detailed explanation about mean squared error with the concept of the consistent estimator and unbiased estimator
Bias and Mean square error
This document discusses properties of estimators such as bias and mean square error. Bias is defined as the difference between the expected value of an estimator and the true parameter value. An unbiased estimator has zero bias. Mean square error is a measure of how far an estimator is from the true parameter value on average, and incorporates both the variance and bias of the estimator. Examples are provided to demonstrate calculating the bias and mean square error of common estimators such as the sample mean and sample proportion. Having low bias and mean square error makes an estimator more efficient and accurate, especially as the sample size increases.
Transform idea
This document discusses several methods for solving separable differential equations:
- Separable differential equations can be solved by separating the variables and integrating both sides to obtain an implicit solution. The initial condition is then applied to determine any constants.
- Explicit solutions are obtained by solving the implicit solution for the variable y(x).
- The interval of validity, where the solution is defined, is determined by avoiding values of x that would cause issues like division by zero.
- Three examples demonstrate these steps to solve initial value problems involving separable differential equations and determine the interval of validity.
Polynomial Functions
This document provides an overview of key concepts in polynomial functions. It defines polynomials as functions where the exponents are positive whole numbers. It explains standard form, factored form, degrees, leading coefficients, roots, ends, and graphing behaviors. It also covers dividing polynomials using long division and synthetic division, and defines the remainder and factor theorems. Specifically, the remainder theorem states the remainder of dividing a polynomial f(x) by (x-k) is r=f(k), while the factor theorem says a polynomial f(x) has a factor (x-k) if and only if f(k)=0.
Verifying Solutions of a Linear System
This document discusses how to verify if a given point is a solution to a system of linear equations. It explains that there are three possibilities when graphing systems: 1) intersecting lines with one solution, 2) parallel lines with no solutions, and 3) coincidental lines with infinitely many solutions. It then introduces substitution as an alternative method to graphing for verifying solutions, noting that if substituting a point into both equations of the system results in true statements, then the point is a solution. An example demonstrates this process of substitution to determine that the point (0, -2) is a solution to one system, but that (1, -1) is not a solution to another system.
Solving systems of equations in 3 variables
1. The solution to a system of linear equations with three variables can take three forms: a unique solution, infinitely many solutions, or no solution.
2. If the graphs of the three planes all intersect at a single point, there is a unique solution. If the planes intersect along a line, there are infinitely many solutions. If the planes do not intersect at all, there is no solution.
3. The method of elimination is used to solve these systems by eliminating variables one at a time until reaching the solution.
Lagrange
This document discusses Lagrangian dynamics and Hamilton's principle. It begins by introducing important notation conventions used in the chapter. It then provides an overview of Hamilton's principle and how it can be used to derive Lagrange's equations of motion. This allows problems to be solved in a general manner even when forces are difficult to express or some constraints exist. Examples are provided, including deriving the equation of motion for a simple pendulum using both Cartesian and cylindrical coordinates. The concept of generalized coordinates is also introduced to represent the degrees of freedom of a system.
12.1 simplifying trig expressions
This document discusses various trigonometric and algebraic identities that can be used to simplify expressions, including Pythagorean identities, trigonometric identities, quotient identities, and reciprocal identities.
Math12 lesson8
Trigonometric equations involve trigonometric functions and can be solved using algebraic techniques like isolating variables, collecting like terms, and factoring. There are two types of trigonometric equations: identical equations that are true for all values of the variable, and conditional equations that are true for some but not all values. To solve trigonometric equations, one should use identities to obtain a single function, substitute values to solve for an angle, or use the quadratic formula if a single function is quadratic.
Notes 5-7
1. The document discusses solving trigonometric equations and finding their general solutions. It provides examples of solving equations using inverse trig functions, factoring, and substitution.
2. General solutions to trig equations involve adding integer multiples of the period (2π or 180°) to the solutions to account for all possibilities in the entire domain.
3. Examples show solving equations like cosx = 0.456 by taking the inverse cosine and factoring equations like 3tan^2x + 4tanx + 1 = 0 to find specific solutions and the general form.
Elecciones Animales
El documento habla sobre las propuestas políticas en las próximas elecciones en España. Dos partidos, el PSOE y el PP, han aceptado incluir en sus programas una Ley Marco de Protección Animal y modificaciones al Código Penal para endurecer las condenas por maltrato animal. El tercer partido mencionado, IU, apoya las propuestas pero no se compromete a incluirlas en su programa o modificar el Código Penal. El documento concluye esperando que estas promesas no queden en palabras sino se conviertan en acciones reales para
Pre-Cal 40S Slides March 7, 2008
This document discusses using trigonometric functions to model and predict sunrise times throughout the year for a town in Saskatchewan. It provides the latest and earliest sunrise times and asks the reader to sketch the sinusoidal graph and write equations to predict the sunrise time on a given date or find dates when sunrise is at a specific time, like 7:00am.
Pre-Cal 40S February 10, 2009
This document discusses solving trigonometric equations and finding coordinates of points on a unit circle. It contains 4 problems: 1) finding coordinates of a point P(n) on a ray containing (9, -40), 2) listing trig ratios for P(n), 3) finding coordinates of a point P at the intersection of a unit circle and line segment from the origin to Q(-5,12). The document provides trigonometric word problems and asks the reader to find specific coordinate points and trigonometric ratios.
11 x1 t04 06 cosine rule (2012)
The document outlines the cosine rule for finding the length of the side of a triangle opposite an angle when the other two sides and included angle are known. It derives the formula c^2 = a^2 + b^2 - 2abcosC and provides examples of applying the rule to solve for side lengths of triangles.
More Related Content
What's hot
Perturbation methods last
This document provides an overview of perturbation techniques for analyzing heat transfer problems. It discusses several objectives: to demonstrate the usefulness of perturbation techniques; to assist unfamiliar readers in understanding the techniques; and to show how the techniques are applied to specific problems. The document then reviews various perturbation methods - regular perturbation method, method of strained coordinates, method of matched asymptotic expansions, and method of extended perturbation series. It also discusses limitations and advantages of perturbation methods.
Final review flash cards
This document outlines several applications of calculus derivatives including:
- Finding absolute and local extrema by setting the derivative equal to zero and determining the highest/lowest points.
- Relating position, velocity and acceleration through their derivatives.
- Using related rates to find missing rates by setting up equations with variables and their derivatives using relationships like the Pythagorean theorem.
- Optimizing functions by setting up two equations, substituting one variable, taking the derivative and setting it equal to zero to find the maximum or minimum value.
3 handouts section3-1
This section discusses differentiating polynomials and exponential functions. It introduces the power rule formula for differentiation and formulas for differentiating functions involving the exponential function e^x. It also covers applying derivatives to find tangent lines by relating the slope of a curve at a point to the slope of the tangent line at that point. The section concludes by noting how slopes and tangent lines will be further explored in later sections.
Iterative methods
The document discusses two iterative methods for solving linear equation systems: Thomas method and Cholesky method. Thomas method is used for tridiagonal matrices and involves factorizing the matrix into lower and upper triangular matrices (L and U) and then solving for the vector D using L and then solving for the solution vector X using U. Cholesky method was also mentioned but not described.
V2chap3
This chapter discusses static equilibrium, where an object is not moving or rotating. Conditions for static equilibrium are that the net force and net torque on an object must equal zero. Examples of rigid bodies in static equilibrium are analyzed by identifying all forces, drawing free body diagrams, and writing the static equilibrium equations to solve for unknown forces. Worked examples include finding tensions in interconnecting strings and cables for systems of hanging masses, and determining horizontal and vertical force components from a hinge on a strut with hanging masses.
Nota algebra
This document discusses the substitution method for solving systems of linear equations in two variables. It begins with an overview of the substitution property and two review examples. It then provides two examples of using substitution to solve systems. Several practice problems with solutions follow to illustrate applying the substitution method. The document concludes by noting that using substitution, graphing or elimination methods finds the point where the lines intersect, or determines if there is no solution.
Invariant Manifolds, Passage through Resonance, Stability and a Computer Assi...
1) The document is a dissertation submitted to ETH Zurich that studies invariant manifolds, passage through resonance, stability, and applies these concepts to a synchronous motor model.
2) It first develops theory for a general Hamiltonian system coupled to a linear system by weak periodic perturbations, showing the persistence of invariant manifolds. It then uses averaging techniques to analyze global dynamics, assuming a finite number of resonances.
3) It represents the reduced system in a way suitable for stability analysis, covering both non-degenerate and degenerate cases.
4) The second part applies these methods to explicitly model a miniature synchronous motor, analytically deriving approximations and numerically simulating and confirming the dynamics, showing approach
Mean Squared Error (MSE) of an Estimator
Detailed explanation about mean squared error with the concept of the consistent estimator and unbiased estimator
Bias and Mean square error
This document discusses properties of estimators such as bias and mean square error. Bias is defined as the difference between the expected value of an estimator and the true parameter value. An unbiased estimator has zero bias. Mean square error is a measure of how far an estimator is from the true parameter value on average, and incorporates both the variance and bias of the estimator. Examples are provided to demonstrate calculating the bias and mean square error of common estimators such as the sample mean and sample proportion. Having low bias and mean square error makes an estimator more efficient and accurate, especially as the sample size increases.
Transform idea
This document discusses several methods for solving separable differential equations:
- Separable differential equations can be solved by separating the variables and integrating both sides to obtain an implicit solution. The initial condition is then applied to determine any constants.
- Explicit solutions are obtained by solving the implicit solution for the variable y(x).
- The interval of validity, where the solution is defined, is determined by avoiding values of x that would cause issues like division by zero.
- Three examples demonstrate these steps to solve initial value problems involving separable differential equations and determine the interval of validity.
Polynomial Functions
This document provides an overview of key concepts in polynomial functions. It defines polynomials as functions where the exponents are positive whole numbers. It explains standard form, factored form, degrees, leading coefficients, roots, ends, and graphing behaviors. It also covers dividing polynomials using long division and synthetic division, and defines the remainder and factor theorems. Specifically, the remainder theorem states the remainder of dividing a polynomial f(x) by (x-k) is r=f(k), while the factor theorem says a polynomial f(x) has a factor (x-k) if and only if f(k)=0.
Verifying Solutions of a Linear System
This document discusses how to verify if a given point is a solution to a system of linear equations. It explains that there are three possibilities when graphing systems: 1) intersecting lines with one solution, 2) parallel lines with no solutions, and 3) coincidental lines with infinitely many solutions. It then introduces substitution as an alternative method to graphing for verifying solutions, noting that if substituting a point into both equations of the system results in true statements, then the point is a solution. An example demonstrates this process of substitution to determine that the point (0, -2) is a solution to one system, but that (1, -1) is not a solution to another system.
Solving systems of equations in 3 variables
1. The solution to a system of linear equations with three variables can take three forms: a unique solution, infinitely many solutions, or no solution.
2. If the graphs of the three planes all intersect at a single point, there is a unique solution. If the planes intersect along a line, there are infinitely many solutions. If the planes do not intersect at all, there is no solution.
3. The method of elimination is used to solve these systems by eliminating variables one at a time until reaching the solution.
Lagrange
This document discusses Lagrangian dynamics and Hamilton's principle. It begins by introducing important notation conventions used in the chapter. It then provides an overview of Hamilton's principle and how it can be used to derive Lagrange's equations of motion. This allows problems to be solved in a general manner even when forces are difficult to express or some constraints exist. Examples are provided, including deriving the equation of motion for a simple pendulum using both Cartesian and cylindrical coordinates. The concept of generalized coordinates is also introduced to represent the degrees of freedom of a system.
What's hot (14)
Invariant Manifolds, Passage through Resonance, Stability and a Computer Assi...
Invariant Manifolds, Passage through Resonance, Stability and a Computer Assi...
Viewers also liked
12.1 simplifying trig expressions
This document discusses various trigonometric and algebraic identities that can be used to simplify expressions, including Pythagorean identities, trigonometric identities, quotient identities, and reciprocal identities.
Math12 lesson8
Trigonometric equations involve trigonometric functions and can be solved using algebraic techniques like isolating variables, collecting like terms, and factoring. There are two types of trigonometric equations: identical equations that are true for all values of the variable, and conditional equations that are true for some but not all values. To solve trigonometric equations, one should use identities to obtain a single function, substitute values to solve for an angle, or use the quadratic formula if a single function is quadratic.
Notes 5-7
1. The document discusses solving trigonometric equations and finding their general solutions. It provides examples of solving equations using inverse trig functions, factoring, and substitution.
2. General solutions to trig equations involve adding integer multiples of the period (2π or 180°) to the solutions to account for all possibilities in the entire domain.
3. Examples show solving equations like cosx = 0.456 by taking the inverse cosine and factoring equations like 3tan^2x + 4tanx + 1 = 0 to find specific solutions and the general form.
Elecciones Animales
El documento habla sobre las propuestas políticas en las próximas elecciones en España. Dos partidos, el PSOE y el PP, han aceptado incluir en sus programas una Ley Marco de Protección Animal y modificaciones al Código Penal para endurecer las condenas por maltrato animal. El tercer partido mencionado, IU, apoya las propuestas pero no se compromete a incluirlas en su programa o modificar el Código Penal. El documento concluye esperando que estas promesas no queden en palabras sino se conviertan en acciones reales para
Pre-Cal 40S Slides March 7, 2008
This document discusses using trigonometric functions to model and predict sunrise times throughout the year for a town in Saskatchewan. It provides the latest and earliest sunrise times and asks the reader to sketch the sinusoidal graph and write equations to predict the sunrise time on a given date or find dates when sunrise is at a specific time, like 7:00am.
Pre-Cal 40S February 10, 2009
This document discusses solving trigonometric equations and finding coordinates of points on a unit circle. It contains 4 problems: 1) finding coordinates of a point P(n) on a ray containing (9, -40), 2) listing trig ratios for P(n), 3) finding coordinates of a point P at the intersection of a unit circle and line segment from the origin to Q(-5,12). The document provides trigonometric word problems and asks the reader to find specific coordinate points and trigonometric ratios.
11 x1 t04 06 cosine rule (2012)
The document outlines the cosine rule for finding the length of the side of a triangle opposite an angle when the other two sides and included angle are known. It derives the formula c^2 = a^2 + b^2 - 2abcosC and provides examples of applying the rule to solve for side lengths of triangles.
Section 7.3 trigonometric equations
This document contains solutions to trigonometric equations on various intervals. It first determines that 4π/5 is not a solution to 2sin(2θ)=0. It then finds that 4π/5 and 7π/6 are solutions to 2cos(3θ)-5=0 on the interval [0,2π]. Similarly, it finds all solutions to equations involving tangent, cosine, sine and combinations of trigonometric functions on specified intervals through repetitive use of trigonometric identities and interval arithmetic.
Android Open 2011
The document discusses a panel from the 2011 Android Open Conference on designing applications for both Android and iOS platforms. The panel covers strategies for design, architecture, and development across the two platforms, including comparisons of design approaches, wireframing, and navigation designs. Key topics discussed include prioritizing design for one platform over the other, using mockups and prototypes, and leveraging tools like Keynote.
1.11.08 Law Of Sines
The Law of Sines provides a tool for solving triangles when we are given information other than just side-side-side (SSS) or side-angle-side (SAS), making it easier to use than the Law of Cosines in some cases. It demonstrates how to solve triangles ABC and DEF using the Law of Sines by relating each side of a triangle to its opposite angle.
GLCC May 20, 2010
The document discusses moving away from traditional summative assessment towards more formative and divergent forms of assessment that are more aligned with student-driven, participatory cultures. It notes that students currently live in a culture of user-generated content outside of school but a more scripted culture inside school. The document calls for rethinking assessment to be more like the "youtubization of learning" where students can engage in user-generated forms of assessment for learning, rather than assessment of learning, to make school more meaningful and relevant to students.
UCM 5
This document defines and provides examples of uniform circular motion (UCM). UCM occurs when an object moves in a circular path at a constant speed. Centripetal force is the force directing an object towards the center and causing UCM by overcoming the object's inertia. Examples include a car turning a corner, a person on a spinning ride, a ball on a string, and satellites orbiting bodies. The document also provides steps for solving UCM problems using formulas for centripetal force, centripetal acceleration, and velocity, demonstrating the process through a sample problem of calculating the centripetal force on a plane circling a radius.
Mariana Trench
The document summarizes some of the physiological effects that deep sea pressures have on the human body. It discusses how the respiratory system can become tired due to pressure under water and how divers use breathing apparatuses. It also mentions how high water pressure can influence digestion and cause capillaries to contract, resulting in limb cooling. The deep sea environment presents challenges for human homeostasis.
Wwi Good Copy 2
This document summarizes the key factors that led the United States to initially remain neutral in World War I but eventually enter the war in 1917. It discusses the economic reasons for neutrality due to American loans to the Allies and not wanting to jeopardize being repaid. It also describes the human toll of the war and desire to avoid U.S. casualties. However, events like the sinking of the Lusitania, which killed American citizens, and the Zimmerman Telegram proposing a German alliance with Mexico against the U.S. increased pro-war sentiment and helped push the U.S. into the conflict.
Effective presentation
The document discusses the challenges of summarizing long-form content into concise summaries while retaining essential information. Automated summarization requires natural language understanding to identify the most important concepts, events, entities, and relationships within the text. Effective summarization also needs to produce coherent summaries using clear and fluent language.
Gevangen in de Wolken
Cloud Computing komt in al haar verschillende vormen tot ons. Het concept is niet nieuw maar meer dan ooit lijken de geesten rijp om IT-diensten via het web aan te bieden en af te nemen. Een complete waaier aan clouddiensten lijkt zich nu te ontwikkelen in de markt en terwijl de verscheidene clouddiensten op zichzelf een sterke propositie bieden doemt de vraag op in hoeverre deze diensten portabel en interoperabel zijn. De presentatie laat zien dat momenteel een keuze voor een specifieke clouddienst (nog steeds) ten koste gaat van een afhankelijkheid op het product en de leverancier. Standaardisatie op basis van open standaarden speelt binnen het domein van cloud computing een uitermate belangrijke rol om vendor lock-in te voorkomen ten aanzien van uw IT-functie en daarmee bedrijfsprocessen.
Inay Mila at Tatay Mando - Limampung Taon Na!
This document is a song about the strength and longevity of a romantic relationship over many years. It expresses how the singer cannot remember a time when their partner wasn't there for them and how they have been through everything together. It reflects on all the good times and hard times weathered as a team, and the singer's gratitude for the life they have built with their partner through the years.
Viewers also liked (18)
More from chrismac47
Lesson 2-5
The document compares exponential and linear models. Exponential models exhibit constant percentage change determined by the growth factor b, while linear models show constant increase/decrease set by the slope m. Exponential equations can be determined from a single point, unlike linear equations which require two points to find the parameters m and b. The document demonstrates finding the exponential equation for two given points (2,6) and (4,10) by setting up equations and dividing them to isolate the growth factor b.
Lesson 2 1
The document discusses functions and function notation. It defines a function as a special type of relation where each element of the independent variable is paired with exactly one element of the dependent variable. It provides examples of different ways to represent functions, including coordinate graphs, symbolic rules, and ordered pairs. The document also discusses evaluating functions, the domain and range of functions, and identifies whether certain relations are functions or not.
Lesson 2 2
This document discusses using linear models to summarize relationships in data. It provides examples of how astronomers use a linear model called Hubble's Constant to describe the relationship between galaxies' distances and velocities. It introduces the correlation coefficient r as a measure of how closely data points fit a linear model or line of best fit, with r values closer to 1 or -1 indicating a stronger linear correlation. Some scatter plots with r values are shown to illustrate what different r values look like. The document explains the formula for calculating r and encourages interpreting what the various parts of the formula represent. It then poses fitting a line of best fit to a set of sample x and y data values as an example.
Section 2 3 (1)
This document provides 5 calculus limits to evaluate: 1) as x approaches 0, 2) as x approaches infinity, 3) as x approaches -1, 4) as x approaches 0, and 5) as x approaches infinity.
Section 2.5 (2)
This document discusses expanding the concept of limits to include infinite limits, where the variable approaches infinity. It introduces the idea of analyzing functions where the variable gets infinitely large and the limit potentially reaches infinity as well. The example function raises the question of how to analyze its behavior as the variable increases without bound.
Section 2.4
This document discusses continuity and discontinuity in functions. It defines a function as continuous at a point c if the left and right hand limits are the same as x approaches c. A function is discontinuous if the left and right limits do not match up. Examples are given of different types of discontinuities like removable discontinuities.
Lesson 1 7 (3)
Variance and standard deviation are measures of spread used to describe the shape of distributions associated with the mean. While two distributions may have the same mean, their variance and standard deviation can show that they have very different shapes. To calculate variance and standard deviation, you first find the deviation of each value from the mean, square the deviations, and sum them. You then divide the sum by n-1 to get the variance, and take the square root of the variance to find the standard deviation.
Section 1-5
The document discusses the concept of limits in calculus, including the formal definition of a limit as the value a function approaches as the input gets arbitrarily close to a given number. It provides examples of evaluating limits graphically and algebraically, such as determining the limit of a function as x approaches 3 is 6, even though the function is undefined at x=3 due to a removable discontinuity. The document also discusses using graphs to identify different types of discontinuities and limits.
Section 1-4 -- Trapezoid Rule
The document discusses using the trapezoidal rule to evaluate definite integrals by approximating the area under a curve between bounds with trapezoids. It explains that the trapezoidal rule is a more exact method than counting squares. To use the rule, the integral bounds are divided into trapezoids, the function is evaluated at the endpoints, and the areas are calculated by multiplying the average base by the height and summing the results, with endpoints weighted by one half.
Lesson 1-4 -- Five Number Summary
The document discusses the five number summary, which includes the minimum, first quartile, median, third quartile, and maximum values. It provides an example of the heights of a basketball team, calculates their five number summary and interquartile range, and discusses how outliers can be identified using 1.5 times the interquartile range.
Section 1-3 -- Definite Integrals
The document discusses using integrals to calculate distance traveled based on a velocity-time graph. It explains that the area under the graph between two times represents the distance traveled during that interval. Specifically, it asks the reader to:
1) Find the velocity between 30-50 seconds from the given graph and explain why the distance can be found from the rectangular area.
2) Count the squares and find the distance traveled from 0-20 seconds by finding the area under the curved graph.
3) Estimate the definite integral of a function representing a football's cross-sectional area to find its total volume.
Lesson 1-3
The document discusses different measures of central tendency, including the mean and median. It introduces the concept of using sigma notation to simplify writing out long sums, such as when calculating the mean of a data set. It provides an example of entree prices from a restaurant and encourages writing out the formula to calculate the mean using sigma notation.
Section 1-2
This document discusses functions, their derivatives, and rates of change. It introduces the concept of the derivative as the instantaneous rate of change of a function. It then asks the reader to sketch and describe different types of functions without a calculator. It provides a sample graph showing sections that are increasing, decreasing, or neither, and asks the reader to identify these sections and determine where the rate of change is more or less quick.
Lesson 1 2
A stemplot is a method to display data by splitting each number into a stem and leaf, with the ones digit as the leaf and other digits as the stem. It allows comparison of two data sets side by side. A dotplot displays the frequency of data values and is useful when the data is categorical. It may not be suitable to display continuous numeric data like golf scores.
5.12.08 Advanced Factoring1
Factoring by grouping allows factoring out the greatest common factor from some but not all terms of a polynomial, which can make the entire factorization easier. This technique can be used to factor difficult quadratic trinomials. Examples are provided to illustrate factoring by grouping.
5.6.08 Fundamental Theorem Of Algebra1
The fundamental theorem of algebra states that any polynomial of degree greater than 1 with complex coefficients has at least one complex zero. A related theorem is that a polynomial of degree n has at most n zeros. Another theorem is that a polynomial of degree greater than 1 with complex coefficients has exactly n complex zeros counting multiplicities.
4.14.08 Finding Polynomial Models1 2
The document discusses finding polynomial models to describe patterns like triangular numbers and tetrahedral numbers. It explains that a polynomial difference theorem can be used to find the polynomial formula for functions where the differences between successive values form a known pattern. Specifically, if the fourth differences are constant, the function is a fourth degree polynomial that can be determined by plugging known points into the general cubic polynomial formula.
4.9.08 Polynomial Models3
The document discusses polynomial models and volume equations. It provides an example of a box made from cardboard where squares are cut from the corners and the sides are folded up. An equation is written for the volume of the box in terms of x, which is a third degree polynomial. A polynomial's degree is the maximum number of variables being multiplied. The standard form of a polynomial of degree n is also discussed. The volume of the cardboard box is written in standard form. A polynomial with more than one variable, like (x+y)^4, has a degree of 4.
4.10.08 Graphs Of Polynomials
This document discusses key concepts related to graphs of polynomial functions, including:
- Extrema (maximum, minimum, relative maximum, relative minimum points) and where they occur on the sample graph
- Zeros (x-intercepts) and that the sample function has four zeros
- Increasing and decreasing intervals based on the slope, with the function increasing where driving uphill and decreasing where driving downhill
- Positive and negative intervals, referring to where the function is positive or negative based on the y-value.
4.3.08 Binomial Prob 1
The document discusses binomial probabilities and permutations for repeated independent trials with two possible outcomes. It asks what the probability is of getting 4 or more blues when spinning a spinner 6 times, and the probability of getting 3 or more reds in 6 spins. It introduces the binomial probability theorem for calculating these probabilities.
More from chrismac47 (20)
Recently uploaded
Dandelion Hashtable: beyond billion requests per second on a commodity server
This slide deck presents DLHT, a concurrent in-memory hashtable. Despite efforts to optimize hashtables, that go as far as sacrificing core functionality, state-of-the-art designs still incur multiple memory accesses per request and block request processing in three cases. First, most hashtables block while waiting for data to be retrieved from memory. Second, open-addressing designs, which represent the current state-of-the-art, either cannot free index slots on deletes or must block all requests to do so. Third, index resizes block every request until all objects are copied to the new index. Defying folklore wisdom, DLHT forgoes open-addressing and adopts a fully-featured and memory-aware closed-addressing design based on bounded cache-line-chaining. This design offers lock-free index operations and deletes that free slots instantly, (2) completes most requests with a single memory access, (3) utilizes software prefetching to hide memory latencies, and (4) employs a novel non-blocking and parallel resizing. In a commodity server and a memory-resident workload, DLHT surpasses 1.6B requests per second and provides 3.5x (12x) the throughput of the state-of-the-art closed-addressing (open-addressing) resizable hashtable on Gets (Deletes).
Harnessing the Power of NLP and Knowledge Graphs for Opioid Research
Gursev Pirge, PhD
Senior Data Scientist - JohnSnowLabs
Fueling AI with Great Data with Airbyte Webinar
This talk will focus on how to collect data from a variety of sources, leveraging this data for RAG and other GenAI use cases, and finally charting your course to productionalization.
5th LF Energy Power Grid Model Meet-up Slides
5th Power Grid Model Meet-up
It is with great pleasure that we extend to you an invitation to the 5th Power Grid Model Meet-up, scheduled for 6th June 2024. This event will adopt a hybrid format, allowing participants to join us either through an online Mircosoft Teams session or in person at TU/e located at Den Dolech 2, Eindhoven, Netherlands. The meet-up will be hosted by Eindhoven University of Technology (TU/e), a research university specializing in engineering science & technology.
Power Grid Model
The global energy transition is placing new and unprecedented demands on Distribution System Operators (DSOs). Alongside upgrades to grid capacity, processes such as digitization, capacity optimization, and congestion management are becoming vital for delivering reliable services.
Power Grid Model is an open source project from Linux Foundation Energy and provides a calculation engine that is increasingly essential for DSOs. It offers a standards-based foundation enabling real-time power systems analysis, simulations of electrical power grids, and sophisticated what-if analysis. In addition, it enables in-depth studies and analysis of the electrical power grid’s behavior and performance. This comprehensive model incorporates essential factors such as power generation capacity, electrical losses, voltage levels, power flows, and system stability.
Power Grid Model is currently being applied in a wide variety of use cases, including grid planning, expansion, reliability, and congestion studies. It can also help in analyzing the impact of renewable energy integration, assessing the effects of disturbances or faults, and developing strategies for grid control and optimization.
What to expect
For the upcoming meetup we are organizing, we have an exciting lineup of activities planned:
-Insightful presentations covering two practical applications of the Power Grid Model.
-An update on the latest advancements in Power Grid -Model technology during the first and second quarters of 2024.
-An interactive brainstorming session to discuss and propose new feature requests.
-An opportunity to connect with fellow Power Grid Model enthusiasts and users.
Monitoring and Managing Anomaly Detection on OpenShift.pdf
Monitoring and Managing Anomaly Detection on OpenShift
Overview
Dive into the world of anomaly detection on edge devices with our comprehensive hands-on tutorial. This SlideShare presentation will guide you through the entire process, from data collection and model training to edge deployment and real-time monitoring. Perfect for those looking to implement robust anomaly detection systems on resource-constrained IoT/edge devices.
Key Topics Covered
1. Introduction to Anomaly Detection
- Understand the fundamentals of anomaly detection and its importance in identifying unusual behavior or failures in systems.
2. Understanding Edge (IoT)
- Learn about edge computing and IoT, and how they enable real-time data processing and decision-making at the source.
3. What is ArgoCD?
- Discover ArgoCD, a declarative, GitOps continuous delivery tool for Kubernetes, and its role in deploying applications on edge devices.
4. Deployment Using ArgoCD for Edge Devices
- Step-by-step guide on deploying anomaly detection models on edge devices using ArgoCD.
5. Introduction to Apache Kafka and S3
- Explore Apache Kafka for real-time data streaming and Amazon S3 for scalable storage solutions.
6. Viewing Kafka Messages in the Data Lake
- Learn how to view and analyze Kafka messages stored in a data lake for better insights.
7. What is Prometheus?
- Get to know Prometheus, an open-source monitoring and alerting toolkit, and its application in monitoring edge devices.
8. Monitoring Application Metrics with Prometheus
- Detailed instructions on setting up Prometheus to monitor the performance and health of your anomaly detection system.
9. What is Camel K?
- Introduction to Camel K, a lightweight integration framework built on Apache Camel, designed for Kubernetes.
10. Configuring Camel K Integrations for Data Pipelines
- Learn how to configure Camel K for seamless data pipeline integrations in your anomaly detection workflow.
11. What is a Jupyter Notebook?
- Overview of Jupyter Notebooks, an open-source web application for creating and sharing documents with live code, equations, visualizations, and narrative text.
12. Jupyter Notebooks with Code Examples
- Hands-on examples and code snippets in Jupyter Notebooks to help you implement and test anomaly detection models.
Apps Break Data
How information systems are built or acquired puts information, which is what they should be about, in a secondary place. Our language adapted accordingly, and we no longer talk about information systems but applications. Applications evolved in a way to break data into diverse fragments, tightly coupled with applications and expensive to integrate. The result is technical debt, which is re-paid by taking even bigger "loans", resulting in an ever-increasing technical debt. Software engineering and procurement practices work in sync with market forces to maintain this trend. This talk demonstrates how natural this situation is. The question is: can something be done to reverse the trend?
Astute Business Solutions | Oracle Cloud Partner |
Your goto partner for Oracle Cloud, PeopleSoft, E-Business Suite, and Ellucian Banner. We are a firm specialized in managed services and consulting.
Crafting Excellence: A Comprehensive Guide to iOS Mobile App Development Serv...
Crafting Excellence: A Comprehensive Guide to iOS Mobile App Development Serv...Pitangent Analytics & Technology Solutions Pvt. Ltd
Discover top-tier mobile app development services, offering innovative solutions for iOS and Android. Enhance your business with custom, user-friendly mobile applications.HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU
Webinar Recording: https://www.panagenda.com/webinars/hcl-notes-und-domino-lizenzkostenreduzierung-in-der-welt-von-dlau/
DLAU und die Lizenzen nach dem CCB- und CCX-Modell sind für viele in der HCL-Community seit letztem Jahr ein heißes Thema. Als Notes- oder Domino-Kunde haben Sie vielleicht mit unerwartet hohen Benutzerzahlen und Lizenzgebühren zu kämpfen. Sie fragen sich vielleicht, wie diese neue Art der Lizenzierung funktioniert und welchen Nutzen sie Ihnen bringt. Vor allem wollen Sie sicherlich Ihr Budget einhalten und Kosten sparen, wo immer möglich. Das verstehen wir und wir möchten Ihnen dabei helfen!
Wir erklären Ihnen, wie Sie häufige Konfigurationsprobleme lösen können, die dazu führen können, dass mehr Benutzer gezählt werden als nötig, und wie Sie überflüssige oder ungenutzte Konten identifizieren und entfernen können, um Geld zu sparen. Es gibt auch einige Ansätze, die zu unnötigen Ausgaben führen können, z. B. wenn ein Personendokument anstelle eines Mail-Ins für geteilte Mailboxen verwendet wird. Wir zeigen Ihnen solche Fälle und deren Lösungen. Und natürlich erklären wir Ihnen das neue Lizenzmodell.
Nehmen Sie an diesem Webinar teil, bei dem HCL-Ambassador Marc Thomas und Gastredner Franz Walder Ihnen diese neue Welt näherbringen. Es vermittelt Ihnen die Tools und das Know-how, um den Überblick zu bewahren. Sie werden in der Lage sein, Ihre Kosten durch eine optimierte Domino-Konfiguration zu reduzieren und auch in Zukunft gering zu halten.
Diese Themen werden behandelt
- Reduzierung der Lizenzkosten durch Auffinden und Beheben von Fehlkonfigurationen und überflüssigen Konten
- Wie funktionieren CCB- und CCX-Lizenzen wirklich?
- Verstehen des DLAU-Tools und wie man es am besten nutzt
- Tipps für häufige Problembereiche, wie z. B. Team-Postfächer, Funktions-/Testbenutzer usw.
- Praxisbeispiele und Best Practices zum sofortigen Umsetzen
Energy Efficient Video Encoding for Cloud and Edge Computing Instances
Energy Efficient Video Encoding for Cloud and Edge Computing Instances
Columbus Data & Analytics Wednesdays - June 2024
Columbus Data & Analytics Wednesdays, June 2024 with Maria Copot 20
What is an RPA CoE? Session 1 – CoE Vision
In the first session, we will review the organization's vision and how this has an impact on the COE Structure.
Topics covered:
• The role of a steering committee
• How do the organization’s priorities determine CoE Structure?
Speaker:
Chris Bolin, Senior Intelligent Automation Architect Anika Systems
Programming Foundation Models with DSPy - Meetup Slides
Prompting language models is hard, while programming language models is easy. In this talk, I will discuss the state-of-the-art framework DSPy for programming foundation models with its powerful optimizers and runtime constraint system.
Mutation Testing for Task-Oriented Chatbots
Conversational agents, or chatbots, are increasingly used to access all sorts of services using natural language. While open-domain chatbots - like ChatGPT - can converse on any topic, task-oriented chatbots - the focus of this paper - are designed for specific tasks, like booking a flight, obtaining customer support, or setting an appointment. Like any other software, task-oriented chatbots need to be properly tested, usually by defining and executing test scenarios (i.e., sequences of user-chatbot interactions). However, there is currently a lack of methods to quantify the completeness and strength of such test scenarios, which can lead to low-quality tests, and hence to buggy chatbots.
To fill this gap, we propose adapting mutation testing (MuT) for task-oriented chatbots. To this end, we introduce a set of mutation operators that emulate faults in chatbot designs, an architecture that enables MuT on chatbots built using heterogeneous technologies, and a practical realisation as an Eclipse plugin. Moreover, we evaluate the applicability, effectiveness and efficiency of our approach on open-source chatbots, with promising results.
GNSS spoofing via SDR (Criptored Talks 2024)
In the realm of cybersecurity, offensive security practices act as a critical shield. By simulating real-world attacks in a controlled environment, these techniques expose vulnerabilities before malicious actors can exploit them. This proactive approach allows manufacturers to identify and fix weaknesses, significantly enhancing system security.
This presentation delves into the development of a system designed to mimic Galileo's Open Service signal using software-defined radio (SDR) technology. We'll begin with a foundational overview of both Global Navigation Satellite Systems (GNSS) and the intricacies of digital signal processing.
The presentation culminates in a live demonstration. We'll showcase the manipulation of Galileo's Open Service pilot signal, simulating an attack on various software and hardware systems. This practical demonstration serves to highlight the potential consequences of unaddressed vulnerabilities, emphasizing the importance of offensive security practices in safeguarding critical infrastructure.
Introduction of Cybersecurity with OSS at Code Europe 2024
I develop the Ruby programming language, RubyGems, and Bundler, which are package managers for Ruby. Today, I will introduce how to enhance the security of your application using open-source software (OSS) examples from Ruby and RubyGems.
The first topic is CVE (Common Vulnerabilities and Exposures). I have published CVEs many times. But what exactly is a CVE? I'll provide a basic understanding of CVEs and explain how to detect and handle vulnerabilities in OSS.
Next, let's discuss package managers. Package managers play a critical role in the OSS ecosystem. I'll explain how to manage library dependencies in your application.
I'll share insights into how the Ruby and RubyGems core team works to keep our ecosystem safe. By the end of this talk, you'll have a better understanding of how to safeguard your code.
“Temporal Event Neural Networks: A More Efficient Alternative to the Transfor...
“Temporal Event Neural Networks: A More Efficient Alternative to the Transfor...Edge AI and Vision Alliance
For the full video of this presentation, please visit: https://www.edge-ai-vision.com/2024/06/temporal-event-neural-networks-a-more-efficient-alternative-to-the-transformer-a-presentation-from-brainchip/
Chris Jones, Director of Product Management at BrainChip , presents the “Temporal Event Neural Networks: A More Efficient Alternative to the Transformer” tutorial at the May 2024 Embedded Vision Summit.
The expansion of AI services necessitates enhanced computational capabilities on edge devices. Temporal Event Neural Networks (TENNs), developed by BrainChip, represent a novel and highly efficient state-space network. TENNs demonstrate exceptional proficiency in handling multi-dimensional streaming data, facilitating advancements in object detection, action recognition, speech enhancement and language model/sequence generation. Through the utilization of polynomial-based continuous convolutions, TENNs streamline models, expedite training processes and significantly diminish memory requirements, achieving notable reductions of up to 50x in parameters and 5,000x in energy consumption compared to prevailing methodologies like transformers.
Integration with BrainChip’s Akida neuromorphic hardware IP further enhances TENNs’ capabilities, enabling the realization of highly capable, portable and passively cooled edge devices. This presentation delves into the technical innovations underlying TENNs, presents real-world benchmarks, and elucidates how this cutting-edge approach is positioned to revolutionize edge AI across diverse applications.June Patch Tuesday
Ivanti’s Patch Tuesday breakdown goes beyond patching your applications and brings you the intelligence and guidance needed to prioritize where to focus your attention first. Catch early analysis on our Ivanti blog, then join industry expert Chris Goettl for the Patch Tuesday Webinar Event. There we’ll do a deep dive into each of the bulletins and give guidance on the risks associated with the newly-identified vulnerabilities.
Recently uploaded (20)
Dandelion Hashtable: beyond billion requests per second on a commodity server
Dandelion Hashtable: beyond billion requests per second on a commodity server
Harnessing the Power of NLP and Knowledge Graphs for Opioid Research
Harnessing the Power of NLP and Knowledge Graphs for Opioid Research
Monitoring and Managing Anomaly Detection on OpenShift.pdf
Monitoring and Managing Anomaly Detection on OpenShift.pdf
Astute Business Solutions | Oracle Cloud Partner |
Astute Business Solutions | Oracle Cloud Partner |
Crafting Excellence: A Comprehensive Guide to iOS Mobile App Development Serv...
Crafting Excellence: A Comprehensive Guide to iOS Mobile App Development Serv...
HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU
HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU
Energy Efficient Video Encoding for Cloud and Edge Computing Instances
Energy Efficient Video Encoding for Cloud and Edge Computing Instances
Programming Foundation Models with DSPy - Meetup Slides
Programming Foundation Models with DSPy - Meetup Slides
Nordic Marketo Engage User Group_June 13_ 2024.pptx
Nordic Marketo Engage User Group_June 13_ 2024.pptx
Introduction of Cybersecurity with OSS at Code Europe 2024
Introduction of Cybersecurity with OSS at Code Europe 2024
“Temporal Event Neural Networks: A More Efficient Alternative to the Transfor...
“Temporal Event Neural Networks: A More Efficient Alternative to the Transfor...
1.17.08 General Trig Equations
- 4. Try these: