AnglE: An Optimization Technique for LLMs by Bishwadeep Sikder
The AnglE model introduces angle optimization to address common challenges like vanishing gradients and underutilization of supervised negatives in Large Language Models (LLMs). By enhancing the gradient and optimization processes, this novel approach improves text embedding learning effectiveness.
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Prism Terminology and Light Deviation
Prisms are optical devices that deviate light without changing its vergence. This module explores the various terminology associated with prisms, including Apex, Base, Refracting Angle, and Angle of Deviation. The passage of light through a prism follows Snell's Law, where the ray is deviated toward
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Angle Relationships in Geometry
Explore key geometry vocabulary such as congruent, vertical, adjacent, complementary, and supplementary angles. Learn how to identify different types of angle pairs and calculate unknown angle measures using angle relationships. Visual examples and explanations enhance understanding.
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Step-by-Step Guide for Using Kruss Goniometer Contact Angle Analyzer
Detailed instructions on how to operate a Kruss goniometer contact angle analyzer. Learn how to set up the equipment, prepare the sample, adjust camera focus, measure contact angle, and analyze the results. Follow each step carefully to achieve accurate measurements.
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Motion and Measurement of Distances in Science at Sainik School Gopalganj
Explore the concepts of motion and measurement of distances in science as taught by Dr. A.K. Choubey at Sainik School Gopalganj. Discover the development of means of transport, different measurement methods like non-standard and standard measures, the significance of measurement, and the Internation
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Triangle Inequalities and Angle-Side Relationships
Explore the Vocabulary of Exterior Angle Inequality Theorem, Angle-Side Relationship Theorems 5.9 and 5.10. Understand how to order triangel angle measures and side lengths from smallest to largest through examples. Discover the principles governing triangles in terms of angles and side lengths.
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Exterior Angles in Polygons
This content explains the concept of exterior angles in polygons and the Exterior Angle Theorem. It covers how exterior angles are formed when the sides of a polygon are extended, their relationship with interior angles, and how to calculate their measures using the Exterior Angle Theorem. Various e
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Camera Angles in Photography
Photography is a form of art that involves various creative expressions, including the use of different camera angles to capture unique perspectives. This content explores different camera angles such as high-angle shot, low-angle shot, Dutch angle, and straight angle, each offering a distinct visua
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Measurement Challenges and Concepts in Grade Five Mathematics
Delve into a variety of measurement challenges in Grade Five mathematics, including different units, common errors, measurement components, big ideas, accuracy, precision, and the measurement process. Understand the nuances between accuracy and precision, factors affecting measurement accuracy, and
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Triangle Congruence Properties
Delve into the principles of congruent triangles by exploring the properties of side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), and right-angle-hypotenuse-side (RHS) congruence. Visual explanations help clarify how these properties determine if triangles are congruent.
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Polar Coordinates in Mathematics
Polar coordinates define the location of a point in terms of distance and angle from an origin. The distance is denoted by "r" and the angle by "?". However, the angle is not unique for a point. The concept involves fixing an origin and an initial ray, with positive angles measured counterclockwise.
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Additive Angle Measures
In this lesson on additive angle measures, students learn how to find missing angle measures when two non-overlapping angles combine to form a larger angle. Essential questions are posed, and students are guided through solving problems involving angle decomposition and measurement. Practical activi
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concepts of equidistance and angle bisector in geometry
Explore the concepts of equidistance and angle bisectors in geometry through practical examples like determining the path for John to walk equidistant from a hedge and a wall, understanding the ideal flight path for a plane to land, constructing angle bisectors, and verifying constructions for accur
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Geometry Angle Sum and Properties Exploration
Dive into the world of geometry with various diagrams and scenarios focusing on angle sums, concave and convex polygons, and angle measurements. Learn about properties of polygons and test your skills in identifying different shapes and their classifications based on their properties. Explore angles
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UE PRS Measurement Requirements Discussion at 3GPP TSG-RAN WG4 Meeting #98-e
Discussion at the 3GPP TSG-RAN WG4 Meeting #98-e focused on UE PRS measurement requirements. The topics included consideration of muting in measurement periods, periodicity scaling for PRS resources, handling different resource periodicities, and offsets in measurement periods. Various options were
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Angle Pair Theorems in Geometry
Explore the application of angle-pair theorems in finding missing angle measures using properties of parallel lines. Learn about different types of angle pairs such as vertical angles, corresponding angles, same-side interior angles, alternate exterior angles, and more through engaging activities an
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Angles: Definitions, Examples, and Postulates
Explore the world of angles with definitions of angle parts, types of angles, angle pairs, Angle Addition Postulate, and more. Dive into examples and classwork exercises to enhance your understanding of angles in geometry.
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Geometry: Segment and Angle Measurement
Explore concepts like measuring segment lengths, finding angle measures, congruent segments, segment addition postulate, and midpoint in geometry. Understand the principles and apply them through examples and visual aids.
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Angle Pair Theorems in Geometry
Learn how to apply angle pair theorems using properties of parallel lines to find missing angle measures. Explore concepts like corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles through visual aids and practice problems.
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Accounting Research Methods: Measurement and Sampling
Measurement is a crucial aspect of research in accounting. It involves assigning numbers to empirical events, objects, or properties. Measurement consists of selecting measurable phenomena, developing mapping rules, and applying these rules appropriately. The process of measurement includes determin
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Polygon Angle-Sum Theorems
Explore the Polygon Angle-Sum Theorems that determine the sum of interior angle measures in polygons. Learn about the Polygon Angle-Sum Theorem, number of sides in polygons, finding angle sums, and the corollary for regular polygons. Practice using the theorems to calculate interior angle measures i
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Exploring Triangle Similarity and Congruence
This content delves into understanding triangle congruence and similarity through various scenarios and visual representations. It discusses how to determine congruence using side-side-side, side-angle-side, and angle-side-angle criteria, and explores the concept of similarity in triangles based on
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Requirements for PRS RSRP Measurements in 3GPP TSG-RAN-WG4 Meeting #96-e
The presentation discusses the measurement requirements for Position Reference Signal Received Signal Strength Indicator (PRS RSRP) in 3GPP TSG-RAN-WG4 Meeting #96-e, focusing on measurement periods, capabilities, side conditions for Downlink Angle of Departure (DL-AoD), and accuracy requirements fo
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Parallel Lines and Angle Relationships
Learning about parallel lines involves using angle facts like those on a straight line or around a point. By interpreting what a transversal is, you can apply angle relationships such as corresponding, alternate, co-interior, and vertically opposite angles. Practice finding unknown angles and identi
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Advancing Internet Measurement Research: IMR Program Overview
The Internet Measurement Research (IMR) program aims to enhance Internet measurement methodologies, tools, and infrastructure for a comprehensive understanding of wired and wireless networks. It promotes the development of new data collection methods, measurement tools, and related infrastructure. T
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Glaucoma: Types, Symptoms, and Treatment Options
Glaucoma is a group of eye conditions that can lead to irreversible vision loss. There are different types such as open-angle, closed-angle, secondary, and normal-tension glaucoma, each with unique characteristics and causes. Symptoms vary from rapid damage in closed-angle glaucoma to gradual periph
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Angle Modulation: Frequency and Phase Variations
Angle modulation involves varying the frequency or phase of a carrier signal based on the modulating signal. Frequency Modulation (FM) and Phase Modulation (PM) are types of angle modulation that offer better noise discrimination. This results in improved robustness against interference but comes at
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Vertically Opposite Angles and Angle Expressions
Delve into the concept of vertically opposite angles and angle expressions through worked examples and practice exercises. Learn to identify, calculate, and express angles in various geometric scenarios, enhancing your understanding of angle relationships.
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Bisectors
Explore the concepts of perpendicular and angle bisectors through the Perpendicular Bisector Theorem, Converse of the Perpendicular Bisector Theorem, Angle Bisector Theorem, and Converse of the Angle Bisector Theorem. Learn how these theorems are applied in geometry with illustrative examples. Get i
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Trigonometry Small Angle Approximations and Identities
Delve into the use of small angle approximations in trigonometry, deriving and applying identities for sine, cosine, and tangent functions. Understand the significance of small angles in accurate calculations and explore the practical applications in physics fields. Discover adjusted trigonometric i
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Angle Pairs and Relationships Exploration
This lesson delves into identifying special angle pairs and utilizing their relationships to determine angle measures. Students will learn about adjacent angles, linear pairs, vertical angles, complementary angles, and supplementary angles through engaging activities and sample problems.
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Congruent Triangles
In geometry, congruent triangles have equal sides and angles, leading to unique properties and relationships. By exploring the concepts of congruence in triangles, such as SSS (side-side-side), SAS (side-angle-side), ASA (angle-side-angle), and RHS (right-angle-hypotenuse-side), students develop a d
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Triangle Angle-Sum Theorem & Exterior Angles
The classification of triangles based on angles and sides, discover the Triangle Angle-Sum Theorem where the sum of angles in a triangle is 180 degrees, and understand the concept of exterior angles in triangles. Learn how to find missing angle values and classify triangles by angles and sides using
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Evaluation of Complex Measurement Uncertainty in Methane Discharge from Coal Mining Ventilation Shaft
This study focuses on evaluating the impact of complex measurement uncertainty on the volume of methane discharged through a ventilation shaft in the hard coal mining industry. The research covers the methodology for measuring air flow rate and methane concentration, determination of complex measure
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Innovative Approaches to Network Measurement in Software-Defined Networking
Explore the significance of measurement in traffic engineering, performance diagnosis, and resource accounting within software-defined networking. Uncover the challenges faced in current measurement practices and discover how SDN offers unique solutions through software-defined measurement. Rethink
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Proposed Changes for 60GHz Direction Measurement in January 2018 IEEE Document
This presentation outlines the necessary modifications to the SFD for enabling angle of arrival and angle of departure measurements at 60GHz frequency. Details include capability exchange, FTM measurements, parameters exchange, feedback requirements, and proposed changes to the packet format. The sl
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Understanding Critical Angle in Electromagnetic Wave Propagation
Explore the concept of critical angle in electromagnetic waves, how it applies to different materials, and what happens beyond the critical angle in wave propagation scenarios. Learn about the polarization considerations and power flow dynamics associated with critical angle phenomena.
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Understanding Measurement and Scaling Concepts in Business Research
Explore the fundamental concepts of measurement and scaling in business research, covering levels of scale measurement, mathematical and statistical analysis of scales, criteria for good measurement, and the importance of reliability. Learn about nominal, ordinal, interval, and ratio scales, as well
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Meteorological Instrumentation and Observations Course Overview
Explore the comprehensive curriculum of the Meteorological Instrumentation and Observations course at Al-Mustansiriyah University College of Sciences At the Atmospheric Sciences Department. Covering data processing, temperature measurement, wind measurement, radiation, pressure measurement, moisture
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Understanding Measurement and Measurement Error in Health Services Research
Explore the concepts of measurement and measurement error in health services research, including levels of measurement, error reduction techniques, and descriptive statistics. Gain insights into specifying concepts, operationalizing questions, and identifying variables in research projects.
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