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Related Concept Videos

Summation Notation01:25

Summation Notation

Sigma notation, also known as summation notation, provides a concise method for representing the sum of a sequence of terms that follow a regular pattern. It utilizes the uppercase Greek letter sigma (∑), A typical expression is:In this form, k the index of summation is 1, the starting value, and n the ending value. The term ak​ represents the general term of the sequence.For example, the increasing sequence 5, 7, 9, ..., 23 over 10 terms can be expressed as:This simplifies the representation...
Sums of Power01:22

Sums of Power

In definite integration, Riemann sums approximate the area under a curve by dividing it into subintervals and summing the areas of rectangles. When these approximations follow predictable numerical patterns, such as arithmetic or polynomial sequences, sum formulas offer a more efficient and accurate way to compute the result. In particular, the sum of consecutive integers, squares, and cubes plays an essential role in simplifying these calculations, especially when dealing with uniform...
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Sum and Difference OpAmps

Operational amplifiers (op-amps) are versatile devices that extend beyond amplification. In this context, two specific op-amp configurations are explored: the summing and difference amplifiers.
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Conjugate Addition (1,4-Addition) vs Direct Addition (1,2-Addition)01:27

Conjugate Addition (1,4-Addition) vs Direct Addition (1,2-Addition)

α,β-Unsaturated carbonyl compounds with two electrophilic sites, the carbonyl carbon, and the β carbon, are susceptible to nucleophilic attack via two modes: conjugate or 1,4-addition and direct or 1,2-addition.
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Combining Functions01:16

Combining Functions

Functions can be combined to form new mathematical models that describe interactions between variables. These combinations are fundamental in understanding relationships between changing quantities and are commonly encountered in scientific and engineering contexts. The combination methods—addition, subtraction, multiplication, division, and composition—each have unique implications for the resulting function’s domain and behavior.When combining functions through arithmetic operations, such...
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Calculation of Self-inductance

The self-inductance of a circuit, often simply called the inductance, is a purely geometric factor that depends only on the circuit component's structure. More specifically, it depends on the shape and size of the component that lets the flux pass through it, thus inducing an electric field that opposes any current passing through it.
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Related Experiment Video

Updated: Jun 17, 2026

Endovascular Perforation Model for Subarachnoid Hemorrhage Combined with Magnetic Resonance Imaging (MRI)
06:30

Endovascular Perforation Model for Subarachnoid Hemorrhage Combined with Magnetic Resonance Imaging (MRI)

Published on: December 16, 2021

Incisions do not simply sum.

Thane Blinman1

  • 1Minimally Invasive Surgery, Children's Hospital of Philadelphia, 34th and Civic Center Blvd., Philadelphia, PA 19104, USA. blinman@email.chop.edu

Surgical Endoscopy
|January 8, 2010
PubMed
Summary
This summary is machine-generated.

Minimally invasive surgery (MIS) sites have less total wound tension than open incisions of equal length. This finding supports using smaller trocars to reduce pain and scarring in MIS procedures.

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Related Experiment Videos

Last Updated: Jun 17, 2026

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Murine Excisional Wound Healing Model and Histological Morphometric Wound Analysis
06:36

Murine Excisional Wound Healing Model and Histological Morphometric Wound Analysis

Published on: August 21, 2020

Area of Science:

  • Surgical technique
  • Wound healing
  • Biomechanical analysis

Background:

  • Critics question minimally invasive surgery (MIS) morbidity, comparing summed trocar site lengths to open incisions.
  • This comparison incorrectly assumes linear summation of tension with incision length.

Purpose of the Study:

  • To mathematically model and compare wound tension in open versus minimally invasive surgical incisions.
  • To challenge the assumption that total tension in MIS is equivalent to open procedures of similar incision length.

Main Methods:

  • A mathematical model was used to analyze wound tension perpendicular to linear incisions.
  • Tension was modeled as a function of incision length, with integration revealing tension proportional to the square of the length.
  • Scenarios for procedures like Nissen fundoplication and appendectomy were compared.

Main Results:

  • Total wound tension increases nonlinearly with incision length.
  • Multiple smaller incisions result in less total tension than a single larger incision of equivalent total length.
  • Open appendectomy generated 2.7 times more wound tension than laparoscopic appendectomy.

Conclusions:

  • Conventional open incisions experience greater total tension than multiple MIS trocar sites of equal total length.
  • This supports using smaller trocars or no-trocar techniques to minimize pain and scarring.
  • Using two small trocars is preferable to one larger trocar for reduced morbidity.