Sigma notation
(?1)k 1 k . Key Point. To write a sum in sigma notation try to find a formula involving a variable k where the first.
Proteinase K (P2308) - Datasheet
Synonyms: Peptidase K Endoproteinase K
Proteinase K (P6556) - Datasheet
Proteinase K is a stable serine protease with broad substrate specificity. It degrades many proteins Sigma recommends storage at –20 °C though others.
Sigma T H E R M - K
sigma T H E R M - K up To 320 °C. *The product is not as seen in the picture. High temperature. Synthetic Heat Transfer Fluid www.sigma-therm.com
INTRODUCTION TO SIGMA NOTATION 1. The notation itself Sigma
The variable k is called the index of the sum. The numbers at the top and bottom of the ? are called the upper and lower limits of the summation. In this case
1 Convergence Tests
Root Test and Ratio Test. The root test is used only if powers are involved. Root Test. ? k2. 2k converges: (ak). 1/k. =
Proteinase K (P4850) - Datasheet
TRITON is a registered trademark of Union Carbide. Corp. RBRRBG
K. Muralidharan A Statistical Approach
number of other books on Six Sigma lean
ORIGINAL HAND PUMPS
DOUBLE ACTING SEMI-ROTARY. HAND WING PUMPS. For numerous industrial and domestic applications a. SIGMA hand pump remains the solution. TYPE “K”. STANDARD.
University of Plymouth
Feb 12 2006 b) P(k) ? P(k + 1) for all natural numbers k . The standard analogy to this involves a row of dominoes: if it is shown.
[PDF] Calcul Algébrique
Ce chapitre est consacré à la manipulation de formules algébriques constituées de variables formelles de réels ou de complexes
[PDF] Les symboles somme et produit - Lycée dAdultes
Remarque : • La variable k est une variable muette c'est à dire qu'une fois la somme calculée le résultat ne dépend plus de k
[PDF] [PDF] Séries - Exo7 - Cours de mathématiques
uk la somme de la série ?k?0 uk et on dit que la série est convergente Sinon on dit qu'elle est divergente Notations On peut noter une série de
[PDF] LE SYMBOLE DE SOMMATION
Le symbole ? (sigma) s'utilise pour désigner de manière générale la somme de plusieurs termes Ce symbole est généralement accompagné d'un indice que l'on
[PDF] CALCULS ALGÉBRIQUES Sommes et produits finis
1 Exercice 5 : Somme de termes en progression arithmétique — Soit (uk) une suite de nombres réels en progression arithmétique Soit(
[PDF] Sommes et produits
un changement où on inverse l'ordre d'énumération : on pose l = n ? k ?? k = n ? l Après un changement d'indice le nombre de termes dans la somme doit
[PDF] Sigma notation - Mathcentre
Sigma notation is a method used to write out a long sum in a concise way In this unit we look at ways of using sigma notation and establish some useful
[PDF] Sommes produits récurrence - Normale Sup
18 sept 2010 · Exemple 1 : Calcul de la somme des entiers • Nous allons démontrer par récurrence que la propriété Pn : i=n ?
[PDF] sommespdf - Pascal Ortiz
Déployer une somme Quand je parlerai de déployer une somme cela signi era qu'on récrit une somme initialement présentée avec le symbole sigma n ? k=1
[PDF] Feuille dexercices no 5 - Sommes et produits
(Voir la correction ici) Calculer les sommes suivantes : 1 S = 10 ? k=1 k k=1 k2 9 D = n+2 ? k=5 k 10 E = 2n ? k=n k Exercice 2
ORIGINAL HAND PUMPS
DOUBLE ACTING SEMI-ROTARY
HAND WING PUMPS
For numerous industrial and domestic applications, aSIGMA hand pump remains the solution.
TYPE "K"
STANDARD
MODEL - CAST
IRON BODY
BRONZE MODEL
2DOUBLE ACTING SEMI-ROTARY HAND WING PUMPS
- TYPE 'K' The simple and robust design, quality of materials and workmanship guarantee long and effective service. These pumps are suitable for the handling of clear and light liquids such as water, petrol, diesel and all fuels, paraffin, alcohol, light chemical solutions, edible oils etc. and are the only hand pumps safe for use with very hot liquids - up to 80ºC (176ºF).OPERATION
The pumps are operated by the movement of the handle which causes the shaft and the wing piston, fitted with flap valves, to semi-rotate within the pump. Also enclosed in the body of the pump is the suction divider, fitted with flaps. Gland packing compressed by the gland ring and nut acts as a seal between the shaft and the pump cover. The standard model has threaded flanges and is supplied with threaded counterflanges. Two lugs facilitate the mounting of the pump to a wall or similar structure.FEATURES
The Sigma 'K' Pump incorporates many original technical features which make it the best of its type. • Reinforced inlet, discharge and lugs - prevent breakage even if subjected to rough treatment. • The tapered internal body - this unique technological advantage assures automatic settlement of the wings in the body and guarantees smooth efficient operation even after years of usage. • A frost plug - allows water to be drained if there is a risk of frost. • Thorough quality control - each pump is individually tested to a suction lift of 7m of water and 20m of delivery head. 3MATERIALS OF CONSTRUCTION
Standard model - Type 'K'
Casing: Cast Iron
Internals: Brass
Shaft: Steel
Gland Packing: Cotton saturated with Teflon (asbestos-free)Availability
Substantial stocks - Sizes 00-7 in Standard Construction ensure prompt deliveries. Standard Model - type 'K' is in green colour, red is available upon request and other colours by special order.MATERIALS OF CONSTRUCTION
Bronze Model - Type 'K'
These pumps are suitable for corrosive liquids i.e. salt water, strong chemical solutions etc.Sizes 0, 1 and 2
Casing: Bronze
Internals: Brass
Shaft: Stainless Steel
Gland Packing: Cotton saturated with Teflon (asbestos-free)MAIN USERS OF 'K' PUMPS
• Diesel Engine Manufacturers • Petro-Chemical Industry • Marine Applications • Construction Industry • Agricultural Industry • Garage Equipment • Reliable Back-Up for Electrical PumpsSIGMA Type "K" Pumps
meet all major European industrial standards. 4COMPONENTS OF THE "K" PUMP
1. Casing
2. Cover
3. Gland Nut
4. Wing Piston with Flaps & Shaft
5. Suction Divider with Flaps
6. Handle
7. Gland Packing
8 Gland Ring
9. Shaft Nut
10. Washer
11. Counterflange
12. Flange Bolt & Nut
13. Cover Bolt & Nut
14. Flange Joint
Execution:
"Neutral" with no inscription as illustrated on front page "Standard" with the mark "ISH" and the country of originStandard Packing
Seaworthy wooden cases each 100x46x46cm.
5 TYPE: KSB-II
An original 'K' Pump, without lugs and fixing holes. This version is without flanges and counterflanges and the inlet and discharge tubes are threaded.Optional accessories:
• Suction tube with tapered connecting plug • Discharge or Outlet tubeDIMENSIONS
TYPE - KBS-II
Pump size 0 1 2
A 870 880 893
B 220 230 243
C 1090 1110 1136
ØD 170 170 170
E 400 400 400
d 1/2" 3/4" 1" l 230 230 230 *Dimensions in mmTECHNICAL SPECIFICATIONS
Type - KBS-II
Pump size 0 1 2
Diameter of suction & discharge connections (in inches) 1/2 3/4 1Delivered Quantity (l/P/M) 10 16 22
Number of Double Strokes per minute 65 60 55
6GENERAL INFORMATION - STANDARD MODEL
Type K-00 K-0 K-1 K-2 K-3 K-4 K-5 K-7
Size in inches
3/8" 1/2" 3/4" 1" 1 1/4" 1 1/4" 1 1/2" 2"
Weight* kg
3.2 5.1 6.1 8.8 11.5 12.6 16 32
Lbs 7.0 11.2 13.4 19.4 25.4 27.8 35.3 70.5
Double strokes*
80 65 60 55 50 50 45 40
(per min) LPM7.5 11.5 17.25 22.5 29 43.25 53.5 90
Capacity
GPM 1.65 2.5 3.75 5 6.5 9.5 11.75 19.8
Max m
25 25 25 25 22 22 20 15
Delivery
Head feet 82 82 82 82 72 72 66 49
Pieces per case
30 30 25 15 10 8 6 3
gross117 174 174 153 136 122 117 116
Weight per case
net 96 153 153 132 115 101 96 95 *This data is approximateSuction lift - 7m for all sizes
For prolonged use at depth below 3m, a foot valve should be fitted.DIMENSIONS - STANDARD MODEL TYPE K
Measurements for the
letter symbols can be found in the table below. 7Size K-00 K-0 K-1 K-2 K-3 K-4 K-5 K-7
D 100 135 150 170 200 220 245 288
a 90 140 140 145 170 190 200 273 b 45 55 55 60 62 74 76 72 i 7.5 10 10 10 12 12 12 15 k 98 130 150 170 200 220 240 310 v 110 175 205 230 275 295 320 360 l 120 160 180 200 240 255 275 360 o 7 13 13 13 13 13 13 15 p 220 300 300 360 450 500 600 620 u 32 25 25 30 30 30 35 50 c - 55 65 75 90 90 100 100 d - 9.5 9.5 9.5 14 14 14 15 in/out BSP 3/8" 1/2" 3/4" 1" 1 1/4" 1 1/4" 1 1/2" 2" * Dimensions in mmOther SIGMA Products available:
LOW STAND PUMPS * HIGH STAND PUMPS * ROTARY PUMPS
Please address all enquiries to:
SIGMA ENGINNERING (M/C) LTD
26 CHURCH STREET
ALTRINCHAM, CHESHIRE
ENGLAND WA14 4DW
Tel: 00 44 (0)161 928 9988
Fax: 00 44 (0) 161 926 8726
E-mail: Office@sigmaengineering.co.uk
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