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# Puzzle piece diagram - Alternating sign matrix

This puzzle piece diagram sample shows alternating sign matrix. It was designed on the base of the Wikimedia Commons file: Matrice signes alternants 4x4.svg. "An alternating sign matrix, seen as a puzzle." [commons.wikimedia.org/ wiki/ File:Matrice_ signes_ alternants_ 4x4.svg]
"In mathematics, an alternating sign matrix is a square matrix of 0s, 1s, and −1s such that the sum of each row and column is 1 and the nonzero entries in each row and column alternate in sign. These matrices generalize permutation matrices and arise naturally when using Dodgson condensation to compute a determinant. They are also closely related to the six-vertex model with domain wall boundary conditions from statistical mechanics. They were first defined by William Mills, David Robbins, and Howard Rumsey in the former context." [Alternating sign matrix. Wikipedia]
The marketing chart example "Puzzle piece diagram - Alternating sign matrix" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Marketing Diagrams solution from the Marketing area of ConceptDraw Solution Park.
Marketing chart
Used Solutions

## Marketing Diagrams

Marketing Diagrams solution extends ConceptDraw DIAGRAM diagramming software with abundance of samples, templates and vector design elements intended for easy graphical visualization and drawing different types of Marketing diagrams and graphs, including Branding Strategies Diagram, Five Forces Model Diagram, Decision Tree Diagram, Puzzle Diagram, Step Diagram, Process Chart, Strategy Map, Funnel Diagram, Value Chain Diagram, Ladder of Customer Loyalty Diagram, Leaky Bucket Diagram, Promotional Mix Diagram, Service-Goods Continuum Diagram, Six Markets Model Diagram, Sources of Customer Satisfaction Diagram, etc. Analyze effectively the marketing activity of your company and apply the optimal marketing methods with ConceptDraw DIAGRAM software.

The business process flowchart symbols used for business process mapping are predefined by Business Process Modeling Notation (BPMN) and actually have their roots in the data processing diagrams and programming flow charts. Business Process flowchart symbols provide drawing business process flowcharts, diagrams and maps of any complexity.

## Puzzle piece diagram - Alternating sign matrix

The vector stencils library "Aromatics" contains 23 symbols of aromatic rings for chemical drawing of molecular structural formulas and reaction mechanism schemes in organic chemistry.
"In organic chemistry, aromaticity is a chemical property describing the way in which a conjugated ring of unsaturated bonds, lone pairs, or empty orbitals exhibits a stabilization stronger than would be expected by the stabilization of conjugation alone. ... Aromaticity can also be considered a manifestation of cyclic delocalization and of resonance. This is usually considered to be because electrons are free to cycle around circular arrangements of atoms that are alternately single- and double-bonded to one another. These bonds may be seen as a hybrid of a single bond and a double bond, each bond in the ring identical to every other. This commonly seen model of aromatic rings, namely the idea that benzene was formed from a six-membered carbon ring with alternating single and double bonds (cyclohexatriene), was developed by Kekulé (see History section below). The model for benzene consists of two resonance forms, which corresponds to the double and single bonds superimposing to give rise to six one-and-a-half bonds. Benzene is a more stable molecule than would be expected without accounting for charge delocalization. ... Types of aromatic compounds. The overwhelming majority of aromatic compounds are compounds of carbon, but they need not be hydrocarbons. 1. Neutral homocyclics. Benzene, as well as most other annulenes (cyclodecapentaene excepted) with the formula CnHn where n is an even number, such as cyclotetradecaheptaene. 2. Heterocyclics. In heterocyclic aromatics (heteroaromats), one or more of the atoms in the aromatic ring is of an element other than carbon. This can lessen the ring's aromaticity, and thus (as in the case of furan) increase its reactivity. Other examples include pyridine, pyrazine, imidazole, pyrazole, oxazole, thiophene, and their benzannulated analogs (benzimidazole, for example). 3. Polycyclics. Polycyclic aromatic hydrocarbons are molecules containing two or more simple aromatic rings fused together by sharing two neighboring carbon atoms (see also simple aromatic rings). Examples are naphthalene, anthracene, and phenanthrene. 4. Substituted aromatics. Many chemical compounds are aromatic rings with other functional groups attached. Examples include trinitrotoluene (TNT), acetylsalicylic acid (aspirin), paracetamol, and the nucleotides of DNA. 5. Atypical aromatic compounds. Aromaticity is found in ions as well: the cyclopropenyl cation (2e system), the cyclopentadienyl anion (6e system), the tropylium ion (6e), and the cyclooctatetraene dianion (10e). Aromatic properties have been attributed to non-benzenoid compounds such as tropone. Aromatic properties are tested to the limit in a class of compounds called cyclophanes. A special case of aromaticity is found in homoaromaticity where conjugation is interrupted by a single sp³ hybridized carbon atom. When carbon in benzene is replaced by other elements in borabenzene, silabenzene, germanabenzene, stannabenzene, phosphorine or pyrylium salts the aromaticity is still retained. Aromaticity also occurs in compounds that are not carbon-based at all. Inorganic 6-membered-ring compounds analogous to benzene have been synthesized. Hexasilabenzene (Si6H6) and borazine (B3N3H6) are structurally analogous to benzene, with the carbon atoms replaced by another element or elements. In borazine, the boron and nitrogen atoms alternate around the ring." [Aromaticity. Wikipedia]
The organic compound structural formulas example "Aromatics - Vector stencils library" was created using the ConceptDraw PRO software extended with the Chemistry solution from the Science and Education area of ConceptDraw Solution Park.
Biphenyl
Pyrene
Triphenylene
Phenanthrene
Anthracene
Acenaphthylene
Naphthalene
Indene
Indene
Indene
Indene
Cyclohexene
Cyclopentene
Cyclopropene
Phenalene
Used Solutions

## Event-driven Process Chain Diagrams

Event-Driven Process Chain Diagrams solution extends ConceptDraw DIAGRAM functionality with event driven process chain templates, samples of EPC engineering and modeling the business processes, and a vector shape library for drawing the EPC diagrams and EPC flowcharts of any complexity. It is one of EPC IT solutions that assist the marketing experts, business specialists, engineers, educators and researchers in resources planning and improving the business processes using the EPC flowchart or EPC diagram. Use the EPC solutions tools to construct the chain of events and functions, to illustrate the structure of a business process control flow, to describe people and tasks for execution the business processes, to identify the inefficient businesses processes and measures required to make them efficient.

## Puzzle piece diagram - Alternating sign matrix

The vector stencils library "Telecommunication networks" contains 32 clipart images of telecommunication network devices and equipment for drawing telecom network diagrams.
"A telecommunications network is a collection of terminal nodes, links and any intermediate nodes which are connected so as to enable telecommunication between the terminals.
The transmission links connect the nodes together. The nodes use circuit switching, message switching or packet switching to pass the signal through the correct links and nodes to reach the correct destination terminal.
Each terminal in the network usually has a unique address so messages or connections can be routed to the correct recipients. The collection of addresses in the network is called the address space." [Telecommunications network. Wikipedia]
The clip art example "Telecommunication networks - Vector stencils library" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Telecommunication Network Diagrams solution from the Computer and Networks area of ConceptDraw Solution Park.
Internet
Globe
Base station
Satellite dish
Satellite dish
Communications satellite
Wireless cell tower
Cellular phone
Server
Laptop computer
Desktop computer
Car
Satellite truck
House
House
Office building
Mountain
Tree
Tree
User
Call-center
Multi-storey
Antenna
Router
IP phone
Fax
Network cell
IP Camera
Wireless router
Networking device
Used Solutions