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Articles 661 - 690 of 3436

Full-Text Articles in Physical Sciences and Mathematics

Preparation And Detailed X-Ray Photoelectron Spectroscopy And Spectroscopic Ellipsometryanalysis Of Ultrathin Protective Coatings, Brian Ivins Johnson Oct 2019

Preparation And Detailed X-Ray Photoelectron Spectroscopy And Spectroscopic Ellipsometryanalysis Of Ultrathin Protective Coatings, Brian Ivins Johnson

Theses and Dissertations

Ultra-thin films (UTFs) are important in many applications, seen in the semiconductor industry, in chromatography, in sensing, in microfluidics, in aerospace, and in robotics. They also protect materials from corrosion, change surface energies, limit water intrusion into materials, allow material self-cleaning and self-healing, provide scratch resistance, and impart other specific chemical properties. In many cases, UTFs drastically alter surface properties and therefore their applications. It is imperative that proper and consistent characterization be performed on coatings to confirm and understand their desired properties. In Chapter two, Al oxidation under MgF2 protective layers is studied using real time X-ray photoelectron spectroscopy …


Byu’S Connection To The Development Of Optical Memory: Innovation Takes Multiple Disciplines, Dan Broadbent Oct 2019

Byu’S Connection To The Development Of Optical Memory: Innovation Takes Multiple Disciplines, Dan Broadbent

Faculty Publications

Optical memory technology is a way to store information using lasers and is used in videodiscs, CDs, DVDs, Blu-rays, M-Discs, etc. This technology was developed in Torrance, California in the 1970s by a team lead by Kent D. Broadbent, who graduated from BYU with a degree in Physics in 1949.

This display showcases the technology and those involved in its development.


Resolving The Privacy Paradox: Bridging The Behavioral Intention Gap With Risk Communication Theory, Justin Chun Wah Wu Sep 2019

Resolving The Privacy Paradox: Bridging The Behavioral Intention Gap With Risk Communication Theory, Justin Chun Wah Wu

Theses and Dissertations

The advent of the Internet has led to vastly increased levels of data accessibility to both users and would-be attackers. The privacy paradox is an established phenomenon wherein users express concern about resultant security and privacy threats to their data, but nevertheless fail to enact the host of protective measures that have steadily become available. The precise nature of this phenomenon, however, is not a settled matter. Fortunately, risk communication theory, a discipline devoted to understanding the factors involved in risk-oriented decision-making and founded in years of empirical research in public health and disaster awareness domains, presents an opportunity to …


Laying A Foundation For Computing In Outdoor Recreation, Zann Benjamin Anderson Sep 2019

Laying A Foundation For Computing In Outdoor Recreation, Zann Benjamin Anderson

Theses and Dissertations

Mobile computing allows individuals to bring computing with them into the outdoors. This creates a new situation in which individuals can stay connected even when trying to "get away from it all." Questions arise from this juxtaposition regarding whether the inclusion of computing in these activities is a positive or a negative. Evidence exists supporting both conclusions. We posit that computing can contribute positively to outdoor recreation without distracting. This dissertation details work undertaken in two phases which explores how computing can accomplish this goal. Phase 1 explored how individuals are already using computing technology in hiking, and culminated with …


Dynamic Coalescence As A Mathematical Model Of Leadership And Empirical Evidence Of The Value Of Strategic Sacrifice, Jacob D. Valentine Sep 2019

Dynamic Coalescence As A Mathematical Model Of Leadership And Empirical Evidence Of The Value Of Strategic Sacrifice, Jacob D. Valentine

Undergraduate Honors Theses

The topic of leadership belongs to a rich literature that is deep in historical documentation and broad by the many disciplines that have attempted to understand it. However, the contributions of quantitative theorists are scarce, which has resulted in theories of leadership that are primarily qualitative and often subjective. This paper begins building a bridge between the existing scholarship and a more quantitative approach to the study of leadership by rigorously defining leadership as a strategy of interpersonal investment and presenting a mathematical model of this leadership theory. This model provides a theoretical foundation to explain team dynamics, to study …


The Application Of Synthetic Signals For Ecg Beat Classification, Elliot Morgan Brown Sep 2019

The Application Of Synthetic Signals For Ecg Beat Classification, Elliot Morgan Brown

Theses and Dissertations

A brief overview of electrocardiogram (ECG) properties and the characteristics of various cardiac conditions is given. Two different models are used to generate synthetic ECG signals. Domain knowledge is used to create synthetic examples of 16 different heart beat types with these models. Other techniques for synthesizing ECG signals are explored. Various machine learning models with different combinations of real and synthetic data are used to classify individual heart beats. The performance of the different methods and models are compared, and synthetic data is shown to be useful in beat classification.


Emergent Properties Of The Transport Of Sand, Eric Lenhart Aug 2019

Emergent Properties Of The Transport Of Sand, Eric Lenhart

Undergraduate Honors Theses

In the interest of drawing conclusions about Aeolian environments based on remote imaging, we investigated how air flow forms self-organizing patterns, such as ripples, across loose particulate surfaces. Specifically, we analyzed various models of sand transport, particularly Nishimori’s model, to note the effects of altering various parameters, including wind direction, saltation length, diffusion, and a saltation proportionality constant. As a measure of the frustration of the emergent patterns, Y-junctions were counted at various values of the parameters. A strong correlation with the saltation proportionality constant and no correlation with the saltation height were found. As an additional use of the …


The Investigation Of Secondary Particle Formation Initiated By Non-Prototypical Sources And The Role Of Amines In The Atmosphere, Emily Burrell Aug 2019

The Investigation Of Secondary Particle Formation Initiated By Non-Prototypical Sources And The Role Of Amines In The Atmosphere, Emily Burrell

Theses and Dissertations

This dissertation is a collection of works that investigate non-prototypical sources leading to new particle formation in the atmosphere. Particles play a major role in atmospheric chemistry. For example, particles are a component of smog and are commonly found in high concentrations under conditions of atmospheric inversions. In order to reconcile the difference between measured and modeled particle concentrations new mechanisms from non-prototypical sources for particle formation need to be determined. Formation of particles has frequently been modeled using classical nucleation theory (CNT). The first step in CNT is the nucleation step where molecular clusters form. In a second step, …


Preparation, Functionalization, And/Or Characterization By X-Ray Photoelectron Spectroscopy Of Carbon Surfaces For Biosensors And Other Materials, Varun Jain Aug 2019

Preparation, Functionalization, And/Or Characterization By X-Ray Photoelectron Spectroscopy Of Carbon Surfaces For Biosensors And Other Materials, Varun Jain

Theses and Dissertations

My dissertation is primarily divided into two parts. The first deals with the preparation, functionalization, and characterization of carbon surfaces prepared by direct current magnetron sputtering (DCMS) and high power impulse magnetron sputtering (HiPIMS) as substrates for bioarrays. Part two discusses applications of XPS peak fitting in surface chemical analysis. Chapter 1, the introduction, includes (i) a discussion of the construction of bioarrays and the preparation of sputtered surfaces, e.g., by DCMS and HiPIMS, and also functionalization (bioconjugate) chemistry with special emphasis on the importance of covalent functionalization of surfaces, and (ii) a discussion of the surface characterization techniques and …


“Don’T Say Gay. We Say Dumb Or Stupid”: Queering Prospectivemathematics Teachers’ Discussions, Amy Saunders Ross Aug 2019

“Don’T Say Gay. We Say Dumb Or Stupid”: Queering Prospectivemathematics Teachers’ Discussions, Amy Saunders Ross

Theses and Dissertations

Many prospective teachers make assumptions about their students before they actually begin teaching. Many of these assumptions can be rooted specifically in students’ races, cultures, classes, religions, genders, and sexual orientations. In order for prospective mathematics teachers to challenge these biases, some mathematics teacher educators have provided tasks to support these prospective teachers in becoming aware of their own biases. I chose to analyze a group of five prospective mathematics teachers discussing topics of teaching for social justice to examine more closely the kinds of biases they carry, and more specifically, how those biases came about in their conversations. My …


Locations Of Real Zeros Of Newforms Of Higher Levels, Hankun Ko Aug 2019

Locations Of Real Zeros Of Newforms Of Higher Levels, Hankun Ko

Theses and Dissertations

This dissertation is concerned with the zeros of holomorphic Hecke cusp forms in the space of newforms. We estimate a lower bound for the number of zeros on the imaginary axis and on the vertical line R(z)=1/2 in the upper half plane, both of which are outside the unit circle centered at the origin, and we denote these by δ1 and δ2 respectively. Ghosh and Sarnak call those zeros that lie on the rays 'real' including the arc z=exp (iθ), π/3 ≤ θ ≤ π/2, and they showed that a lower bound for the zeros on those geodesic lines is …


A Matched Payout Model For Investment, Consumption, And Insurance With A Risky Annuity Income, Joseph Allen Adams Aug 2019

A Matched Payout Model For Investment, Consumption, And Insurance With A Risky Annuity Income, Joseph Allen Adams

Theses and Dissertations

We introduce a new insurance instrument allowing retirees to hedge against risk of mortality and risk of default. At retirement, the retiree is allowed to purchase an annuity that provides a defaultable income stream over his lifetime. The time of mortality and time of default are both uncertain, but are accompanied by determined hazard rates. The retiree will make consumption and investment choices throughout his lifetime, which have certain restrictions: the retiree can never enter a bankruptcy state (negative total wealth), and the investment choices are made in a risk-free financial instrument (such as a treasury bill or bond) and …


Dynamical Compact Objects In Numerical Relativity, Hyun Lim Aug 2019

Dynamical Compact Objects In Numerical Relativity, Hyun Lim

Theses and Dissertations

The work of this dissertation will study various aspects of the dynamics of compact objects using numerical simulations.We consider BH dynamics within two modified or alternative theories of gravity. Within a family of Einstein-Maxwell-Dilaton-Axion theories, we find that the GW waveforms from binary black hole (BBH) mergers differ from the standard GW waveform prediction of GR for especially large axion values. For more astrophysically realistic (i.e. smaller) values, the differences become negligible and undetectable. Weestablish the existence of a well-posed initial value problem for a second alternative theory fo gravity (quadratic gravity) and demonstrate in spherical symmetry that a linear …


Computational Studies Of High-Oxidation State Main-Group Metal Hydrocarbon C-H Functionalization, Clinton R. King Aug 2019

Computational Studies Of High-Oxidation State Main-Group Metal Hydrocarbon C-H Functionalization, Clinton R. King

Theses and Dissertations

High-oxidation state main-group metal complexes are potential alternatives to transition metals for electrophilic C-H functionalization reactions. However, there is little known about how selection of the p-block, main-group metal and ligand impact C-H activation and functionalization thermodynamics and reactivity. Chapter 2 reports density functional theory (DFT) calculations used to determine qualitative and quantitative features of C-H activation and metal-methyl functionalization energy landscapes for reaction between high-oxidation state d10s0 InIII, TlIII, SnIV, and PbIV carboxylate complexes with methane. While the main-group metal influences the C-H activation barrier height in a periodic manner, the carboxylate ligand has a much larger quantitative impact …


Cybersecurity Education In Utah High Schools: An Analysis And Strategy For Teacher Adoption, Cariana June Cornel Aug 2019

Cybersecurity Education In Utah High Schools: An Analysis And Strategy For Teacher Adoption, Cariana June Cornel

Theses and Dissertations

The IT Education Specialist for the USBE, Brandon Jacobson, stated:I feel there is a deficiency of and therefore a need to teach Cybersecurity.Cybersecurity is the “activity or process, ability or capability, or state whereby information and communications systems and the information contained therein are protected from and/or defended against damage, unauthorized use or modification, or exploitation” (NICE, 2018). Practicing cybersecurity can increase awareness of cybersecurity issues, such as theft of sensitive information. Current efforts, including but not limited to, cybersecurity camps, competitions, college courses, and conferences, have been created to better prepare cyber citizens nationwide for such cybersecurity occurrences. In …


Search For Dwarf Emission Line Galaxies In Galaxy Voids, Christian D. Draper Aug 2019

Search For Dwarf Emission Line Galaxies In Galaxy Voids, Christian D. Draper

Theses and Dissertations

The population and formation of dwarf galaxies, Mr > −14, contain clues about the nature of dark matter. The best place to search for these dwarf galaxies without influence from nearby large galaxies is within galaxy voids, where no galaxies have yet been found. To search for this potential dwarf galaxy population we have developed and applied a new photometric technique. We use three redshifted Ha filters, designated Ha8, Ha12, and Ha16, along with the Sloan broadband filters, g', r', and i' to identify emission line galaxies. From the ratio of the object flux through the Ha filters, Ha12-Ha8 and Ha12-Ha16, …


Semantically Aligned Sentence-Level Embeddings For Agent Autonomy And Natural Language Understanding, Nancy Ellen Fulda Aug 2019

Semantically Aligned Sentence-Level Embeddings For Agent Autonomy And Natural Language Understanding, Nancy Ellen Fulda

Theses and Dissertations

Many applications of neural linguistic models rely on their use as pre-trained features for downstream tasks such as dialog modeling, machine translation, and question answering. This work presents an alternate paradigm: Rather than treating linguistic embeddings as input features, we treat them as common sense knowledge repositories that can be queried using simple mathematical operations within the embedding space, without the need for additional training. Because current state-of-the-art embedding models were not optimized for this purpose, this work presents a novel embedding model designed and trained specifically for the purpose of "reasoning in the linguistic domain".Our model jointly represents single …


Improvements To Sound Power Measurements For Large, Extended Sources In Semi-Reverberant Rooms Using Generalized Energy Density, Travis Nathan Hoyt Aug 2019

Improvements To Sound Power Measurements For Large, Extended Sources In Semi-Reverberant Rooms Using Generalized Energy Density, Travis Nathan Hoyt

Theses and Dissertations

Sound power measurements of acoustic sources are typically performed in anechoic or reverberation chambers using acoustic pressure according to international standards. The anechoic chamber creates a free-field environment where the sound power is estimated from the squared pressure integrated over some enveloping surface. The reverberation chamber produces diffuse-field conditions, where sound power is proportional to the spatially averaged squared pressure. In semi-reverberant environments, the direct and reverberant energies each contribute to the total measured field. If the kinetic and potential components of acoustic energy density are weighted appropriately, the spatial variation of the field can be significantly reduced compared to …


Impacts Of Glacial Meltwater On Geochemistry And Discharge Of Alpine Proglacial Streams In The Wind River Range, Wyoming, Usa, Natalie Shepherd Barkdull Jul 2019

Impacts Of Glacial Meltwater On Geochemistry And Discharge Of Alpine Proglacial Streams In The Wind River Range, Wyoming, Usa, Natalie Shepherd Barkdull

Theses and Dissertations

Shrinking alpine glaciers alter the geochemistry of sensitive mountain streams by exposing reactive freshly-weathered bedrock and releasing decades of atmospherically-deposited trace elements from glacier ice. Changes in the timing and quantity of glacial melt also affect discharge and temperature of alpine streams. To investigate the effects of glacier ice melt on the geochemistry and hydrology of proglacial streams in the arid Intermountain West, we sampled supraglacial meltwaters and proglacial streams in the Dinwoody Creek watershed in the Wind River Range, Wyoming during late summer 2015, when the contributions of glacier meltwater were highest. Supraglacial meltwater was enriched in 8 trace …


Measuring Influence On Linear Dynamical Networks, Jaekob Chenina Jul 2019

Measuring Influence On Linear Dynamical Networks, Jaekob Chenina

Theses and Dissertations

Influence has been studied across many different domains including sociology, statistics, marketing, network theory, psychology, social media, politics, and web search. In each of these domains, being able to measure and rank various degrees of influence has useful applications. For example, measuring influence in web search allows internet users to discover useful content more quickly. However, many of these algorithms measure influence across networks and graphs that are mathematically static. This project explores influence measurement within the context of linear time invariant (LTI) systems. While dynamical networks do have mathematical models for quantifying influence on a node-to-node basis, to the …


Extensions Of The Power Group Enumeration Theorem, Shawn Jeffrey Green Jul 2019

Extensions Of The Power Group Enumeration Theorem, Shawn Jeffrey Green

Theses and Dissertations

The goal of this paper is to develop extensions of Polya enumeration methods which count orbits of functions. De Bruijn, Harary, and Palmer all worked on this problem and created generalizations which involve permuting the codomain and domain of functions simultaneously. We cover their results and specifically extend them to the case where the group of permutations need not be a direct product of groups. In this situation, we develop a way of breaking the orbits into subclasses based on a characteristic of the functions involved. Additionally, we develop a formula for the number of orbits made up of bijective …


Nature And Origin Of Fissure Ore At The Porphyry-Epithermal Transition Zone Of The Bingham Canyon Porphyry Cu-Au-Mo Deposit, Utah, David Harris Tomlinson Jul 2019

Nature And Origin Of Fissure Ore At The Porphyry-Epithermal Transition Zone Of The Bingham Canyon Porphyry Cu-Au-Mo Deposit, Utah, David Harris Tomlinson

Theses and Dissertations

Late-stage fissure-filling ore at the world class Bingham Canyon, Utah, porphyry copper deposit has long been recognized, but poorly studied. Physical and chemical characterization of the Pb-Zn-Cu-Ag-Au mineralized fissures in the porphyry-epithermal transition zone provides insight into the origin, timing, and controls of ore deposition. These sheared sulfide-rich fissures are dominated by pyrite and multiple generations of quartz, with lesser amounts of other sulfides and gangue minerals. Au (0.27 to 4.61 ppm) provides the most value to the ore in the transition zone. Host rocks include Eocene monzonite and Paleozoic limestone and quartzite"”all of which can contain economic ore bodies. …


3d Printed Microfluidic Devices For Bioanalysis, Michael J. Beauchamp Jul 2019

3d Printed Microfluidic Devices For Bioanalysis, Michael J. Beauchamp

Theses and Dissertations

This work presents the development of 3D printed microfluidic devices and their application to microchip analysis. Initial work was focused on the development of the printer resin as well as the development of the general rules for resolution that can be achieved with stereolithographic 3D printing. The next stage of this work involved the characterization of the printer with a variety of interior and exterior resolution features. I found that the minimum positive and negative feature sizes were about 20 μm in either case. Additionally, micropillar arrays were printed with pillar diameters as small as 16 μm. To demonstrate one …


Dna Capture Via Magnetic Beads In A Microfluidic Platformfor Rapid Detection Of Antibiotic Resistance Genes, David Hyrum Harris Jul 2019

Dna Capture Via Magnetic Beads In A Microfluidic Platformfor Rapid Detection Of Antibiotic Resistance Genes, David Hyrum Harris

Theses and Dissertations

Antibiotic resistant infections are a growing health care concern, with many cases reported annually. Infections can cause irreversible bodily damage or death if they are not diagnosed in a timely matter. To rapidly diagnose antibiotic resistance in infections, it is important to be able to capture and isolate the DNA coding for the resistance genes. This is challenging because bacteria are present in blood in minute concentrations. To enrich the DNA to detectable levels, I modified magnetic microbeads with ssDNA sequences complementary to the target DNA to capture the DNA via hybridization. I compared DNA capture efficiency in three different …


A Shared-Memory Coupled Architecture To Leverage Big Data Frameworks In Prototyping And In-Situ Analytics For Data Intensive Scientific Workflows, Alexander Michael Lemon Jul 2019

A Shared-Memory Coupled Architecture To Leverage Big Data Frameworks In Prototyping And In-Situ Analytics For Data Intensive Scientific Workflows, Alexander Michael Lemon

Theses and Dissertations

There is a pressing need for creative new data analysis methods whichcan sift through scientific simulation data and produce meaningfulresults. The types of analyses and the amount of data handled by currentmethods are still quite restricted, and new methods could providescientists with a large productivity boost. New methods could be simpleto develop in big data processing systems such as Apache Spark, which isdesigned to process many input files in parallel while treating themlogically as one large dataset. This distributed model, combined withthe large number of analysis libraries created for the platform, makesSpark ideal for processing simulation output.Unfortunately, the filesystem becomes …


Cannibalization Processes In Hotspot Rhyolites As Deduced From The Kimberly Rhyolite, Central Snake River Plain, Idaho, Usa, Danielle Jeannette Spencer Jul 2019

Cannibalization Processes In Hotspot Rhyolites As Deduced From The Kimberly Rhyolite, Central Snake River Plain, Idaho, Usa, Danielle Jeannette Spencer

Theses and Dissertations

The 7.7 Ma Kimberly Member of the Cassia Formation is part of a succession of A-type rhyolites associated with the Yellowstone hotspot track. It was sampled by the Kimberly core that was drilled on the Snake River Plain as part of Project HOTSPOT (Shervais, et al., 2013). The Kimberly Member is a 170 m thick high-silica rhyolite lava flow containing quartz, plagioclase, anorthoclase, sanidine, augite, pigeonite, magnetite, ilmenite, zircon, and apatite. δ 18O of zircon ranges from 0 to 4.9‰ (Colón et al., 2018), typical low values for the Snake River Plain. Quartz is intensely embayed. Exsolved and resorbed pigeonite …


Sequential Survival Analysis With Deep Learning, Seth William Glazier Jul 2019

Sequential Survival Analysis With Deep Learning, Seth William Glazier

Theses and Dissertations

Survival Analysis is the collection of statistical techniques used to model the time of occurrence, i.e. survival time, of an event of interest such as death, marriage, the lifespan of a consumer product or the onset of a disease. Traditional survival analysis methods rely on assumptions that make it difficult, if not impossible to learn complex non-linear relationships between the covariates and survival time that is inherent in many real world applications. We first demonstrate that a recurrent neural network (RNN) is better suited to model problems with non-linear dependencies in synthetic time-dependent and non-time-dependent experiments.


Design And Synthesis Of Tlr2 And Tlr6 Heterodimer Ligands, A Triply Functionalized Α-Galcer Derivative For Identifying Proteins Involved In Glycolipid Trafficking, And The Disaccharide Of Staphylococcus Aureus Cp8 Towards A Self-Adjuvanting Vaccine, Sara Mayeth Mata Jul 2019

Design And Synthesis Of Tlr2 And Tlr6 Heterodimer Ligands, A Triply Functionalized Α-Galcer Derivative For Identifying Proteins Involved In Glycolipid Trafficking, And The Disaccharide Of Staphylococcus Aureus Cp8 Towards A Self-Adjuvanting Vaccine, Sara Mayeth Mata

Theses and Dissertations

Toll like receptors (TLRs) are found on B cells, macrophages, monocytes, and dendritic cells, and these cells belong to the innate immune system that recognizes antigens and induces multiple cell responses through the release of cytokines. TLR1, TLR2 and TLR6 function as heterodimers, either as TLR1/TLR2 or TLR2/TLR6 to recognize lipopeptides. TLR1/2 dimer activation releases inflammatory cytokines, while TLR2/TLR6 dimer activation releases immunomodulatory cytokines. Based on the size of the binding pocket between TLR2 and TLR6, it was hypothesized that lipopeptides, such as FSL1, could be simplified while keeping overall activity. FSL1 is a lipopeptide first isolated from Mycoplasma salivarum …


Fluvial Architecture And Reservoir Modeling Along The Strike Direction Of The Trail Member Of The Ericson Sandstone, Mesaverde Group In Southwest Wyoming, April Anahi Trevino Jul 2019

Fluvial Architecture And Reservoir Modeling Along The Strike Direction Of The Trail Member Of The Ericson Sandstone, Mesaverde Group In Southwest Wyoming, April Anahi Trevino

Theses and Dissertations

The Trail Member of the upper Cretaceous Ericson Sandstone, part of the Mesaverde Group, is exposed along hundreds of square kilometers through Wyoming along the flanks of several Laramide structural uplifts. This presents a unique opportunity to study the detailed architecture based on bed-scale heterogeneity and better assess the reservoir potential of these strata in outcrop exposure on a regional-scale, and to then relate these observations to producing fields nearby. The fluvial-dominated Trail Member formed as sediments traveled from the active Sevier thrust belt to the Cretaceous Interior Seaway, forming a basinward progradational clastic wedge along a relatively high gradient. …


Developing Understanding Of The Chain Rule, Implicit Differentiation, And Related Rates: Towards A Hypothetical Learning Trajectory Rooted In Nested Multivariation, Haley Paige Jeppson Jul 2019

Developing Understanding Of The Chain Rule, Implicit Differentiation, And Related Rates: Towards A Hypothetical Learning Trajectory Rooted In Nested Multivariation, Haley Paige Jeppson

Theses and Dissertations

There is an overemphasis on procedures and manipulation of symbols in calculus and not enough emphasis on conceptual understanding of the subject. Specifically, students struggle to understand and correctly apply concepts in calculus such as the chain rule, implicit differentiation, and related rates. Students can learn mathematics more deeply when they make connections between different mathematical ideas. I have hypothesized that students can make powerful connections between the chain rule, implicit differentiation, and related rates through the mathematical concept of nested multivariation. Based on this hypothesis, I created a hypothetical learning trajectory (HLT) rooted in nested multivariation for students to …