Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Trigonometric Equations01:30

Trigonometric Equations

270
Trigonometric equations involve one or more trigonometric functions and arise frequently in mathematical modeling. These equations may be either identities, which are valid for all values of the variable, or conditional equations, which hold true only for specific values. The process of solving trigonometric equations typically involves both algebraic techniques and the use of fundamental properties of trigonometric functions.Some trigonometric equations resemble standard algebraic forms and...
270
Microsoft Excel: Regression Analysis01:18

Microsoft Excel: Regression Analysis

1.6K
Regression analysis in Microsoft Excel is a powerful statistical method for examining the relationship between a dependent variable and one or more independent variables. It's used extensively in fields such as economics, biology, and business to predict outcomes, understand relationships, and make data-driven decisions. The most common type is linear regression, which attempts to fit a straight line through the data points to model the relationship between variables.
To perform regression...
1.6K
Mathematical Modeling: Problem Solving01:29

Mathematical Modeling: Problem Solving

455
Mathematical modeling transforms real-world scenarios into mathematical expressions, allowing for structured problem-solving and analysis. This process involves defining the situation, assigning variables to measurable quantities, selecting an appropriate model, and solving the resulting equation. Such models are invaluable in finance, providing precise methods to evaluate investments, loans, and repayment structures.A widely used example is the calculation of fixed monthly payments on a loan,...
455
Trigonometric Functions: Problem Solving01:19

Trigonometric Functions: Problem Solving

305
When observing the vertical ascent of an object from a fixed ground position, such as a rocket launch, trigonometric relationships offer a precise method for determining the object's height. As the object rises, an observer stationed at a known horizontal distance from the launch site can measure the angle between the ground and the object's current position. This dynamic angle provides critical information that connects the observed position with its height above the ground.The tangent...
305
Hyperbolic and Inverse Hyperbolic Functions: Problem Solving01:30

Hyperbolic and Inverse Hyperbolic Functions: Problem Solving

158
An arched gate can be effectively modeled using a hyperbolic cosine profile because this type of function is smooth and symmetric about the vertical axis. When the arch is centered at the origin, its maximum height occurs at the center point. This symmetry ensures that any height below the crown of the arch is reached at two horizontal positions that are equal in distance from the centerline but lie on opposite sides.To determine where the gate reaches a height of five meters, the height of the...
158
First Derivative Test: Problem Solving01:25

First Derivative Test: Problem Solving

92
Imagine an asset price that crashes to a low point, rebounds sharply as bargain-hunters step in, and then gradually declines. Such behavior can be modeled with a smooth function whose turning points represent locally overvalued and undervalued regions. A convenient example that captures rebound followed by decay is:The high and low points of this curve are identified using the first derivative test, which determines where the function changes from increasing to decreasing or vice versa. To...
92

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Small fiber neuropathy following COVID-19 vaccination: A case series.

Journal of the neurological sciences·2025
Same author

Drought in a warmer, CO<sub>2</sub>-rich climate restricts grassland water use and soil water mixing.

Science (New York, N.Y.)·2025
Same author

Coasting related to taxane-induced peripheral neuropathy in patients with breast cancer: a systematic review.

Acta oncologica (Stockholm, Sweden)·2025
Same author

Metabarcoding reveals ecologically distinct fungal assemblages in river and groundwater along an Austrian alpine to lowland gradient.

FEMS microbiology ecology·2024
Same author

A data-driven approach for modelling Karst spring discharge using transfer function noise models.

Environmental earth sciences·2023
Same author

From the Mountain to the Valley: Drivers of Groundwater Prokaryotic Communities along an Alpine River Corridor.

Microorganisms·2023
Same journal

Computing Flow-Field Distortion Coefficients from Well-Construction and Formation Properties.

Ground water·2026
Same journal

Leaky Sewers Hydraulically Disconnect from Groundwater: A Proof-of-Concept.

Ground water·2026
Same journal

Python-Based Model Emulation Workflows with PEST.

Ground water·2026
Same journal

Hydrogeology in the Age of AI and Climate Change.

Ground water·2026
Same journal

Aquifer Thermal Energy Storage: Groundwater for Efficient Data Center Cooling in the United States.

Ground water·2026
Same journal

Simulating the Impacts of Deep Geothermal Development on Shallow Hydrothermal Resources in a Rocky Mountain Rift Valley.

Ground water·2026
See all related articles

Related Experiment Video

Updated: Feb 27, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
10:46

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data

Published on: December 9, 2015

11.2K

Method and Excel VBA Algorithm for Modeling Master Recession Curve Using Trigonometry Approach.

Kristijan Posavec1, Marco Giacopetti2, Marco Materazzi2

  • 1Department of Geology and Geological Engineering, Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia.

Ground Water
|June 28, 2017
PubMed
Summary
This summary is machine-generated.

A new trigonometry-based algorithm in Excel VBA creates master recession curves (MRCs) by overlapping time series recession segments. This method offers an alternative to regression models, sometimes yielding improved overlap and R-squared values.

More Related Videos

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

3.8K
Micromanipulation Techniques Allowing Analysis of Morphogenetic Dynamics and Turnover of Cytoskeletal Regulators
12:52

Micromanipulation Techniques Allowing Analysis of Morphogenetic Dynamics and Turnover of Cytoskeletal Regulators

Published on: May 12, 2018

10.5K

Related Experiment Videos

Last Updated: Feb 27, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
10:46

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data

Published on: December 9, 2015

11.2K
Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

3.8K
Micromanipulation Techniques Allowing Analysis of Morphogenetic Dynamics and Turnover of Cytoskeletal Regulators
12:52

Micromanipulation Techniques Allowing Analysis of Morphogenetic Dynamics and Turnover of Cytoskeletal Regulators

Published on: May 12, 2018

10.5K

Area of Science:

  • Hydrology
  • Time Series Analysis
  • Computational Science

Background:

  • Master Recession Curves (MRCs) are crucial for analyzing hydrological systems.
  • Previous methods for MRC generation relied on multiple linear/nonlinear regression models.
  • Developing efficient and accessible tools for MRC generation is essential for hydrological research.

Purpose of the Study:

  • To develop and implement a novel trigonometry-based algorithm for generating Master Recession Curves (MRCs).
  • To compare the performance of the new trigonometry approach against existing regression-based methods.
  • To provide an open-access Excel VBA tool for MRC modeling.

Main Methods:

  • An Excel Visual Basic for Applications (VBA) algorithm was developed using trigonometry.
  • The algorithm horizontally translates time series recession segments to overlap them.
  • The trigonometry-based method was tested on case studies and compared with a regression-based method.

Main Results:

  • The trigonometry-based method can create narrower overlaps of recession segments in certain time series.
  • This narrower overlap can lead to higher coefficients of determination (R²).
  • The regression-based method remains superior for some time series.

Conclusions:

  • The novel trigonometry-based method provides a viable alternative for MRC generation.
  • The MRCTools v3.0 spreadsheet offers open-access VBA algorithms for MRC generation and separation.
  • The study supports the use of open and free software in scientific research.