In the second case with a=2, b=3, c=5 and h=6 then volume will be 81. A recirculation system would eliminate that problem. Volume of a a parallelepiped Suppose three vectors and in three dimensional space are given so that they do not lie in the same plane. ft/ft 3 = 183. and hydraulic radius for flow of a specified depth in a pipe of known diameter. Different size lines provide dramatically different flow rates In terms of the DEP water supply line size table, whose key component is gallons per minute, the differences are even more dramatic. catalog including Item #,Size,Outside Diameter,Inside Diameter,Wall Thickness,Weight per Ft. Note that rounding errors may occur, so always check the results. (mm) – Thick (mm) x Thick (mm) x 0. Discharge curves for ADS HDPE and PP pipe products under gravity flow steady state conditions are shown in Figures 3-1 through 3 -3. Cross section area of a cylinder ( in this case pipe) = pie*r^2 where r is the radius of the pipe. The same formula can be used to calculate the sizes of the drops. 5" above the inlet in a four-inch drain and 3. Pipe Weight Calculator: Here you can easily and quickly calculate weight of your order using total length of pipes or length of one pipe and total number of pipes. volume = Pi * radius2 * length. The resistance to lateral loads is in part a function of the. Formulas for volume & surface area of a cylinder can be used to find formulas for volume & surface area of the pipe. In the absence of a qualifier, the term bending is ambiguous because bending can occur locally in all objects. Pipeline Capacity. If thrust blocks are not provided, the pipe would be free to move causing joint separation, leakage, and damage to other connected structures or pipes. Ignore the capacity of the curb opening that is adjacent to the grate opening. When this hold back is deducted, the bookable capacity is obtained. The relationships among these units are: 1 acre-inch = 27,154 gallons = 102,642 liters = 102. Note that rounding errors may occur, so always check the results. GAS PIPE LINE CALCULATION SIZING USING CPC PIPE SIZING TABLE (NATURAL GAS) This handout will guide you thru the basic, most common method for sizing a natural gas piping system for residential or commercial application. (Unpressurized Flow) n = 0. Supporters: Online Education - comprehensive directory of online education programs and college degrees. Take that pipe size to TABLE 2 and use the table to find all the EQUIVELENT LENGTHS OF PIPE needed for each PIPE FITTING. It can quickly calculate this information based on the information you enter—such as your pipeline's flu. A 45" x 73" pipe arch at the same slope and "n" carries about 72 cfs ( page 194). A 60" pipe maximum capacity is about 1. The side of the cylinder, which when "unrolled" is a rectangle. You may want to find the surface area if you are painting a pipe so you can estimate how much paint you will need. Engineering Formula Sheet Probability Conditional Probability Binomial Probability (order doesn’t matter) P k (= binomial probability of k successes in n trials p = probability of a success –p = probability of failure k = number of successes n = number of trials Independent Events P (A and B and C) = P A P B P C. Enter three known values and the other will be calculated. You can calculate pipes more easily with calculation of the pipes you use in project. The user should review the original source of publication which are all available at. Inlet Control and Outlet Control for Pipe Culvert Design Calculations. 3m shall be reviewed for protection against sulphuric acid (H 2SO 4) and protected in a manner satisfactory to the Region of Peel. The exception to this is when a storm sewer operates at full capacity, and then can become pipe flow. The ambient pressure P. 24-gallon internal volume by 0. 35 / (Dh 2 — Dp 2) Example: Hole size (Dh) = 12. The pipe volume work with steps shows the complete step-by-step calculation for finding the volume inside the pipe with the length of its inner radius of $10\;in$ and height of $8\;in$ using the volume formula. Learn more about the units used on this page. The orifice formula is taken from the Q'ld Urban Design Manual (QUDM) formula 7. The design factor should include all relevant factors (eg quality factor E and stress factor F etc). Span is a function of the weight that the supports must carry. Concrete pipe larger than 450mm diameter (including maintenance holes) where velocities are greater than 2. the flange dimensions can also be found in these tables. To Spring Line; To Top of Pipe or TrenchVertical Banks, Standard Pipe. Where (pi) is about 3. Click on Calculate and the results will be the (air) volume of the area, the amount of time for each volume of air mass change, the total volume of air requiring movement with an hour, the volume air flow of the suggested air handler or fan (based on your entries) and the number of fans or air handlers needed if they are of the target size you. Specifically, the weight of pipes either empty or full of contents, with/without insulation, and with/without ice buildup is determined. Partially Full Pipe Flow Calculator - This engineering calculator determines the Flow within a partially full pipe using the Manning equation. To use the Concrete Volume Calculator , simply enter the width, length, and thickness of your pour, click on whether you are measuring the thickness in feet or inches, then click on the Calculate button. To get the radius of the pipe divide the diameter by 2. See also - calculator volume of a pipe in liters. The capacity of a 4 inch sewer pipe with decline 0. Drill pipe capacity 0. Pipe Weight Calculator/ Online Round Pipe and Tube Weight Calculator, Weight Calculator/ Pipe Tube Weight Calculator / stainless steel pipe weight calculator/square tube weight calculator/structural steel weight calculator/Carbon Pipe Weight Calculator/pipe weight calculation formula in mm, how to calculate weight of pipe in kg/m, pipe weight calculator excel, pipe weight chart, ms square tube. PE 63 is almost non existent in the recent times. Our equation is: Heat Capacity = E / T. Other formulations: The design of a complex pressure containment system involves much more than the application of Barlow's formula. PE pipes are OD based. you need the I. The actual volumet of air the engine ingests compared to the theoretical maximum volume is called volumetric efficiency (VE). Volume of a oblique. So multiply the length in inches of the curve through the center of the elbow by 12. If a water pipe is 15 mm diameter and the water pressure is 3 bar, assuming the pipe is open ended, is it possible to calculate the flow rate or water velocity in the pipe? Most of the calculations I have found appear to need 2 of these: diameter, flow rate, velocity. Similarly, the annular capacity outside the drillpipe is given by. As a result, when evaluating the hydraulic capacity of the sewer system, it is critical to define the meaning of the word “capacity” the conditions for which the capacity is being as well as assessed. Flow rates are usually kept below 10 feet per second. This makes the volume of the pipe easy to calculate -- it equals the product of its cross-sectional area and the pipe's length. So, for 10 feet of 4" Inside Diameter. 534 meter cube (approximately). , July 2014. I am deciding whether to run 8" pipe, 6" pipe or a combination of both. Our pipes have weld, surface and end prep appearance that will make you confident in the quality of our products. Write these lengths on your piping schematic at each fitting. Annular capacity This is the volume contained between the inside diameter of the hole and the outside diameter of the pipe. F = πPr4 / 8nl. The open channel flow calculator Select Channel Type: Trapezoid Triangle Rectangle Circle Select parameter for solving Velocity(V)&Discharge(Q) Channel slope from V Channel slope from Q Manning Coefficient from V Manning Coefficient from Q Depth from Q RightSlope from Q Even slope from Q LeftSlope from Q. catalog including Item #,Size,Outside Diameter,Inside Diameter,Wall Thickness,Weight per Ft. /mtr 10)Weight of Aluminium Pipe: O. Capacity and Displacement of "Drill Pipe" | SECURE energy services Skip to main content. A common question that can be found on plumbing exams is: “How many one inch pipes would it take to provide the same volume of water as a two inch pipe?”. The volume V of a cylinder is. CodeNotes ™ Pipe Sizing Based on the 2015 IFGC® and IRC® STEP 1: Maximum Pipe Length STEP 2: Equivalent Length of Fittings STEP 4: Determine Pipe Size STEP 3: Maximum Demand Volume RECOVERY RATING based on 100 deg. Use our feet and inches calculator to calculate a length in inches or millimeters. Pipe Water Velocity and Minimum Pipe Diameter. Pipe Equations - Calculate cross-sectional areas, weight of empty pipes, weight of pipes filled with water, inside and outside surface areas Radius of Gyration in Structural Engineering - Radius of gyration is used to describe the distribution of cross sectional area in a column around its centroidal axis. A knowledge of surface area formula is useful to calculate how much material we need to make some cylindrical shapes. cm 3, m 3) The volume of a rectangular prism = length × width × height. capacity of pipe. 72in^3 * 4% and you get 6. • Use Manning's equation to solve for pipe diameter: • To quadruple capacity, Q = 39. A simple check on any formula for area or volume is a dimensional check. For PI you may use a higher precision number in place of 3. The hydraulic characteristics of precast concrete box sections are similar to those for circular, arch and elliptical pipe. Capacity (Gallons) = capacity (cubic inches) / 231. Practice problems that help you see why the volume formula makes sense. Institute) specification 5L. We hope to provide you with the best online conduit fill calculator, as well as all relevant information regarding conduits, conduit fill, conduit accessories, and more! This online conduit fill calculator is compatible with the US National Electrical Code (NEC)!. Similarly, the annular capacity outside the drillpipe is given by. volume = Pi * h * (r o 2 - r i 2). A Reynolds number above 3000 indicates turbulent flow. (L 3 /T) means that the variable has units of cubic length per time (e. The clamp consists of top and bottom parts. Energy in pipe flow is expressed as head and is defined by the Bernoulli equation. We note that our sign convention for the sign of angular momentum is the same as we used for torque, namely the right-hand-rule with a counter-clockwise sense yielding positive angular momentum and a clockwise. Given the internal radius of the pipe is 2 cm, the external radius is 2. d = actual diameter of pipe in inches. For example, the volume of a 10 metre long pipe with a radius of 28. WELDED CONNECTIONS 6. The elevation will never be 1002. If the gradient is not steep enough, i. Lateral loads may be from wind, seismic events, live loads, water flow, etc. Physical values in Darcy formula are very obvious and can be easily obtained when pipe properties are known like D - pipe internal diameter, L - pipe length and when flow rate is known, velocity can be easily calculated using continuity equation. Use the second form to calculate the diameter of a pipe required for 5 fps pipe velocity. While researching the subject, we often wondered how these constants were calculated. where Δ p is the pressure drop required to drive the flow. Please take note that what is calculated is the volume of the hollow tube and not what may be contained in the tube. Factors such as evaporation, wetting, and soaking into the ground are not considered here. 4 Common Boiler Formulas NOTE – If chlorides level are not known the same formula can be applied using the boiler’s and feedwater conductivity levels BOILER FUEL CONSUMPTION. Calculate the Deflection of round tube beams by using advanced online Beams Deflection Calculator. The Hazen Williams equation is intended for turbulent water flow rate in pipes at normal ambient temperatures. Volume of a square pyramid given base side and height. Pipe Sizing by Pressure Loss; Pipe Sizing by Velocity; Pressure Loss through Piping; Water Velocity through Piping; Water Flow Rate through Piping; Insulation thickness. Start studying Cavalieri's Principle and Volume of Composite Figures. length = 50 12 = 600 inches and radius = 4 inches. Pipe Volume Capacity Table. Pipes - Volume Calculator. Calculation of pipes are based on a formula V=π*R1*R1*L Calculation of the surface area of the pipes are based on a formula P=2*π*R2*L R1 - inner radius pipes R2 - outer radius pipes L - pipe length. If the cross-sectional area of pipe 1 is one-half that of pipe 2, what is the ratio of the flow speed in pipe 1 to that in pipe 2? If the water that exits a pipe fills a pool that is 3 meters deep, 20 meters long, and 5 meters wide in 3 days, what is the flow rate?. 0 liter/m) (12 m) = 24 liter. But the first equation is the most commonly used. The pipe's outside diameter, OD, is used in the equation below. (mm) – Thick (mm) x Thick (mm) x 0. Drill pipe OD Dp 5. On-Line Liquid Friction Loss for any Pipe Size Enter Conditions Below:. Browse the standard pipe chart below to select the pipe dimensions and weights that meet your requirements. For HDPE pipe, a range of C values between 150 and 160 is typical. 02466 Weight (kg) per piece of steel pipe (Outside Diameter mm－Wall Thickness mm)×Wall Thickness mm×0. Pipe Flow-Friction Factor Calculations with Excel Harlan H. Pipes - Volume Calculator. However, often overlooked by the welder is the need to clean and swab the inside of the pipe for a distance of 2 to 6 inches from the joint to remove oils, dirt, and other debris that can off gas when heated during the welding operation. Capacity (Gallons) = capacity (cubic inches) / 231. Conversion: Annular Capacity - Casing & Drill Pipe. 0 m/sec and drops across maintenance hole is greater than 0. Welcome to the Conduit Fill Calculator website. Use pi = 3. MW, ppg) x Slug Volume, bbls 34. Brick work = External volume – Internal volume = 22 5 K U K = 855. 5 or from Table 1. Sometimes you might hear questions like "what is the capacity of a box?" or "how much can the box hold?" You can assume that these questions will need a volume to be calculated. ALWAYS use Degrees Kelvin when using this calculator. ANNULAR CAPACITY (litres/meter) = (D2 mm - d2 mm) 1273. Formula 1: Annular capacity in lin. Pump Formulas — Imperial and SI Units Pressure to Head Imperial Units SI Units H = head, ft P = pressure, psi SG = specific gravity H = head, m P = pressure, bar SG = specific gravity Mass Flow to Volumetric Flow Imperial Units SI Units Q = flow, gpm ṁ = mass flow, lbm/h = mass flow, kg/h SG = specific gravity ρ = fluid density, lbm/ft3. Different types of tank have differing shapes and dimension parameters. capacity of annulus Aa = flii-if) displacement of pipe. Pipeline Capacity. Volume of Elliptical Pipe; Volume of Elliptical Tank with Non Domed Ends; Volume of Square or Rectangular Tank; Volume of Standard Pipe or Round Tank; Asphalt Calcs; Pipe Grade; Inches to Feet; Material LBS. Browse SCH 40 Bare & Black Standard Steel Pipe in the ANS Steel Co. 1 INTRODUCTORY CONCEPTS • Structural welding is a process by which the parts that are to be connected are heated and. Insert the values you found in Steps 1 and 2 for the radius and height into the volume formula for a cylinder: volume = pi x radius squared x height. Enter any two values and leave the value to be calculated blank. From this point, read left and stop at the first pipe size selection line. There is also a special converter for historical units of volume you might want to visit for ancient, medieval and other old units that are no longer used. The most widely accepted formula for evaluating the hydraulic capacity of non-pressure conduit is the Manning Formula. Formulas for volume & surface area of a cylinder can be used to find formulas for volume & surface area of the pipe. Four-pipe systems consist of chilled water supply and return and hot water supply and return. 60296846 yd3. Can you help me translate, program, or host these calculators? [Hide this request]. 545 x (128 + 100) = 6. Why Aptitude Volume and Surface Area? In this section you can learn and practice Aptitude Questions based on "Volume and Surface Area" and improve your skills in order to face the interview, competitive examination and various entrance test (CAT, GATE, GRE, MAT, Bank Exam, Railway Exam etc. Volume of a truncated square pyramid. In the second case with a=2, b=3, c=5 and h=6 then volume will be 81. A cylindrical hole cut out of the center has a radius of 6 millimeters. A range of conversion values for flow and area will also be displayed for each set of input parameters entered. where p is the pressure, V is the average fluid velocity, r is the fluid density, z is the pipe elevation above some datum, and g is the gravity acceleration constant. Formula: S = π * d * l. It's also great for 1/2" pipe too. Find the diameter and length of the pipe in inches or millimeters. ” Example: If 18 gallons per minute flow through your 1¼-inch pipe, it would create a friction loss of 5. There are several different formulas for finding the annular capacity, below are some examples. This Q factor=2 for TIG welding and 2. The most frequently used volume units: The most frequently used volume units are liter (1 cubic decimeter), milliliter (1 cubic centimeter), fluid ounce, cup, pint, quart, gallon, cubic meter, cubic feet and cubic yard. I know there are 231 cubic inches in a gallon so I would find the volume of the pipe in cubic inches. ‘pipe depth ratio of 0. If it is a curved pipe, then you have to use other methods like integration. (Unpressurized Flow) Q, gpm = Maximum pipe flow rate in gallons per minute at indicated pipe slope. Pipe Equations - Calculate cross-sectional areas, weight of empty pipes, weight of pipes filled with water, inside and outside surface areas Radius of Gyration in Structural Engineering - Radius of gyration is used to describe the distribution of cross sectional area in a column around its centroidal axis. Flow Depth and Velocity Full Pipe Capacity n= Slope Diameter (inches) Theta= Area Hyd Rad Manning's Equation Full Pipe Flow Pipe Diameter Length Input Areas are in Gray If theta < 3. Is the volume of this half-pipe really given by the formula $\frac\pi6h^2(3D-2h)$?. 8 cubic meters (m3) 1 acre-foot = 12 acre-inches = 12. slug volume bbls = slug length ft x drill pipe capacity bbl-ft Now that we know how to find the slug calculation in bbls for a Length of DRY Pipe, let’s do an example give the following data. The two main approaches used for pipe culvert design are inlet control and outlet control. Example calculation: Your combustion chamber is 4"x12". if u want the content volume, again u need the I. Explains basic formula format, discusses elements; Utilizes same formula as volume calculation of Circular Tank, Convert pipe diameter to Feet from Inches, Link to Video to my video to calculate. Discharge curves for ADS HDPE and PP pipe products under gravity flow steady state conditions are shown in Figures 3-1 through 3 -3. Conversion: Annular Capacity - Casing & Drill Pipe. Next, the total gas flow in kW through each pipe run is found. A cylindrical hole cut out of the center has a radius of 6 millimeters. the required volume at distribution point is 2mmcfd. You can use the Air Products Pipe Pigout app to calculate the nitrogen volume, flow rate and pressure suitable to push your pig and complete the purge or displacement. More detailed explanations and examples can be found in the text. These equations can be used for gas-liquid multiphase flow or for single-phase gas flow. Given the radius and h, the volume of a cone can be found by using the formula: Formula: Vcone = 1/3 × b × h. Torrent Engineering and Equipment Jun-02 Pipeline Volume Capacities Nominal Diameter Area Volume (per FT) Capacity (inches) (Sq. Welding Calculations Design Rules for calculating the strength of butt and fillet welded joints subject to Direct, Bending and Torsional loadings. Flow is the rate at which a certain volume of liquid passes through an opening; it may be measured in liters per second or gallons per. It is called “2-inch pipe” only for the sake of convenience. In this case, 135-pound-per-square-inch (psi) compressed air is being conveyed through a three-inch Schedule 40 steel pipe to a treatment facility 350 feet away. for Water Treatment and Water Distribution. Sloped Banks, Standard Pipe. So in this case, the volume of the cylinder segment is the area of the circle segment, times the length. In simple terms, the volume of an object is nothing but its capacity. The Pipe Trades Pro will help you on the jobsite or in the office. ~20, 21, 6 Which expressions represent the volume of metal needed, in cubic millimeters, to make the pipe? Check all that apply. More detailed explanations and examples can be found in the text. 4 What would be the volume of. Carry out the calculations. Definition of production capacity: Volume of products that can be generated by a production plant or enterprise in a given period by using current resources. and hydraulic radius for flow of a specified depth in a pipe of known diameter. Measure using the same units you used to determine the radius. China Water & Wastewater Application of Superconducting Magnetic Separation Water Purification Technology in Beixiaohe Wastewater Treatment Plant 2012 Issue 1000-4602. There are two ends so their combinded surface area is 2 π * r 2. Pipe Water Velocity and Minimum Pipe Diameter. I used the calculator I recommended, and got the following numbers for the pressure drop per 100 ft of pipe: 1/2" pipe, 2. Can you help me translate, program, or host these calculators? [Hide this request] Check out our spreadsheet version of this calculator: Download Spreadsheet Open Google Sheets version View All Spreadsheets. If thrust blocks are not provided, the pipe would be free to move causing joint separation, leakage, and damage to other connected structures or pipes. On-Line Liquid Friction Loss for any Pipe Size Enter Conditions Below:. Enter any two values and leave the value to be calculated blank. For a pipe use its length instead of height: pipe volume = π * radius² * length, where radius = inner diameter/2. Toggle navigation. q = 3550 k ( h / l SG) 1/2 (1). Sucking warm air in from the engine bay is a great way to lose power. To know the pipe surface is required when estimating the volume of the paintwork materials required. 236 (D = Hole Diameter or Casing ID, d = Outside Diameter of Tubular) 5. Re: Formula to calculate percentage of volume in a pipe Is the storm drain the same size as the pipe? Around here they are not. Pipe Flow-Friction Factor Calculations with Excel Harlan H. Standard : Extra Strong: Nominal Pipe Size: Length: Weight in Pounds. ("PPI") Plastic Pressure Pipe Design Calculator software (the "Software"). c = a coefficient varying with the diameter of the pipe, as determined by experiment. Q full is a safer number to use since there’s always a chance the pipe will seal up with water, especially if there’s a clog in the system or backwater effects. 3 formula, P is the design fluid pressure in psig, D is the pipe O. q = 3550 k ( h / l SG) 1/2 (1). But there are two quite easy theorems, known as Pappus's centroid theorems (the first gives the surface area of the pipe, the second its volume) which make the calculation a doddle even in the general case. DSAW Pipe ERW Pipe Spiral Pipe Piling Fencing Tube Home All Steel Pipe www. This pipe continues down a bit and somewhere along the line is reduced from an 8 inch pipe to a 3 inch pipe or hose. Pipe profiling equipment is used to scan a ring of light onto the internal wall of a plastic drain and software is then used to measure any deformation of the pipe. 0966035812822 pipe [US], or 61023. Horizontal Cylindrical Tank Volume Calculator. How much water would be in a 480 foot one inch inside diameter pipe?? In imperial gallons please. OVERVIEW In estimating the ultimate capacity of deep foundations (both driven and cast‐in‐place), we have. Hi Marlean, The volume of water in a pipe is. It is helpful in determining the maximum pressure capacity a pipe can safely withstand. This friction loss calculator employs the Hazen-Williams equation to calculate the pressure or friction loss in pipes. The energy budget in a pipeline system is materialized by the energy grade line. A common question that can be found on plumbing exams is: “How many one inch pipes would it take to provide the same volume of water as a two inch pipe?”. In our storm and sewer products, in order to find the total volume of all pipes (some may refer to this as the capacity) you'll first need to find the total volume of each pipe. The allowable column compression is determined by the formula. 48 gallons of water in one cubic foot. ft/ft 3 = 183. 1 3/8" 1/2" 3/4" 1" 11/4" 11/2. GAS PIPE LINE CALCULATION SIZING USING CPC PIPE SIZING TABLE (NATURAL GAS) This handout will guide you thru the basic, most common method for sizing a natural gas piping system for residential or commercial application. Friction Loss Using a Fairly Smooth Pipe 200 100 80 60 50 40 30 20 10 8 6 5 3 2 0. 2, it is addressed in the CAUTION section that "When an external pressure, Pe, greater than zero is used in the hoop stress formula in para. Barlow’s Formula is a calculation used to show the relationship between internal pressure, allowable stress (also known as hoop stress), nominal thickness, and diameter. Different types of tank have differing shapes and dimension parameters. This formula is not for min wall thickness steel pipe. The volume of a cylinder 5 inches in diameter and 6 inches high is 117. Volume of a truncated square pyramid. I know there are 231 cubic inches in a gallon so I would find the volume of the pipe in cubic inches. CUBIC YARD TO PIPE [US] (yd3 TO pipe) CHART 1 cubic yard in pipe [US] = 1. The clamp consists of top and bottom parts. So, for 10 feet of 4" Inside Diameter. The formula therefore. Sometimes you might hear questions like "what is the capacity of a box?" or "how much can the box hold?" You can assume that these questions will need a volume to be calculated. 6 (that's π 2 2) and you'll have the number of cubic inches of volume of the elbow. "Our mission is to provide the construction industry with a tool to save time and money through simplicity when dealing with complex formulas and calculations in the field. PVC Pipe is identified by the ID (Inside Diameter) and is referred to as a "nominal" size which means "in name only. The allowable column compression is determined by the formula. volume = mass/density. Torrent Engineering and Equipment Jun-02 Pipeline Volume Capacities Nominal Diameter Area Volume (per FT) Capacity (inches) (Sq. This capacity is also called as bearing capacity of piles. Inlet Control and Outlet Control for Pipe Culvert Design Calculations. 0966035812822 pipe [US], or 61023. Pipes runs longer than 50 feet (15 meters) must have a minimum diameter of 12 inches or 1 foot (300 millimeters). Since the base is a circle, area of the base = pi × r2. BS 6700 recommends that ﬂow velocities should not exceed 3 m/s. Although capacity of this pipe in a headwall is slightly greater, the difference is not significant. 35 / (Dh 2 — Dp 2) Example: Hole size (Dh) = 12. For instance, Suppose there is a hollow bottle, so the volume is the quantity of liquid it can hold. Anchor: #i1015785. You would need to separately calculate this volume based on the size and slope of the pipe(s), or use the above workaround to incorporate the conduit volume in the wetwell as a single unit. Volume of a obelisk. And the last use of this free software is the pipe area calculator. 015 and fill 50%. unit capacity = total capacity NOT sensible capacity (rated @ 95F ambient, 80F edb, 67F ewb) sensible cooling capacity 70-80% of total latent capacity provided >what is needed on West coast gross capacity does NOT include deduction for fan heat EER (Energy Efficiency Ratio)= btu/hr output KW input. Find the diameter and length of the pipe in inches or millimeters. In the real world, calculating volume is probably not something that you will use as often as calculating area. Flow is the rate at which a certain volume of liquid passes through an opening; it may be measured in liters per second or gallons per. 14159) X Radius of pipe 2 X Length of pipe. 01in^3 of propane at atmospheric pressure. Materials: Volume * Weight in Pounds * PAPER: Mixed Paper Grades/Junk Mail, loose One cubic yard 875 Corrugated Cardboard (OCC), baled One cubic yard 1,100 Corrugated Cardboard (OCC), baled 30" x 60" x 48" 900 Corrugated Cardboard (OCC) , compacted One cubic yard 500 Corrugated Cardboard (OCC), flattened, loose 40 cubic yard roll-off 2000 Newsprint (ONP), loose One cubic yard 600 Newsprint. To get the radius of the pipe divide the diameter by 2. February 6, 2015. Introduction to Chemical Engineering Processes/Converting Information into Mass Flows how much volume of a gas or liquid solution passes through a fixed point in. Use eRedbook, cementing tables, log viewers, and more to assist with daily operations. Coatings Calculator :: Corrosion Prevention Pipe Budget Calculator CoatingsCalculator. NEWSLETTER SIGN-UP. Engineering tools, including capacity and displacement of the drill pipe, used with drilling and completion fluids. 5 inches WC pressure drop can be calculated as. The second equation is just an explaining of the units or terminology, Volume flowrate is exactly that, m^3/s, volume over time. For example, Barlow's Formula is used by pipe fitters to predict the bursting pressure for a pipe. 0375 minutes OR 0. The pipe sizing feature in PIPE-FLO can help with evaluate this balance. Method of application is conventional Spray Painting. Nominal Size Mass (incl. This calculator can be used to calculate volume of water or other liquids in pipes. to calculate nitrogen volume, flow rate, pressure and time to purge a pipeline. The hydraulic capacity of a pipe on a given slope is primarily dependent on n, the roughness coefficient. Q = Volume flow rate; v = Flow velocity; A = Cross-sectional area; r = Radius; ø = Diameter; n. Quick Index by Formula Type: Metric to U. At Pittsburgh Pipe, we offer many different products and services. Pipe insulation from a hardware store was used for lab trials. A cylindrical hole cut out of the center has a radius of 6 millimeters. You would need to separately calculate this volume based on the size and slope of the pipe(s), or use the above workaround to incorporate the conduit volume in the wetwell as a single unit. The formula in QUDM is designed for field inlets and not roof outlets. Copper Pipe Volume Calculator / Ft. For dry saturated steam lines, the velocities considered range between 25-35 m/s. During the beginning, planning stages of sizing a pipe, I'll use Q full to get an idea of my pipe's maximum capacity rather than Q 94% depth. Volume of a pyramid. 1416 x 25 12 x (2(8 2) + 10 2) = 78. Drain/Overflow Size; Sump Volume; Water Change; Tank Volume; World Clock; Unit Converter; RC Content. Pipe Length (L) mile Pipe Size (NPS) 0. Structural pipe is a round hollow section and generally used as structural columns. SF Pressure Drop calculates pressure drops of flowing liquids and gases in pipes (laminar and turbulent flow). The calculator will estimate the number of cubic yards of concrete that will be required. Click the calculate button to produce the velocity, discharge rate and pipe slope. PE pipes are OD based. com advertising surface prep application horizontal vessels tanks: floating roof tanks: cone roof tanks: dome roof tanks: spheres pumps valves pipes beams: I-beams beams: C-channel beams: angle iron beams: T-section marine: bottom marine. KAD Group of Companies provide calculation of S. Formulas for volume & surface area of a cylinder can be used to find formulas for volume & surface area of the pipe. Vertical - When a sling is used in a vertical hitch, the full lifting capacity of the sling material can be utilized. This often means that the demand for the product is below what the business could.


Statistical Methods II (BTRY 602)
37 Presentations. Emphasizes the use of multiple regression analysis, analysis of variance, and related techniques to analyze data in a variety of situations. Topics include an introduction to data collection techniques; least squares estimation; multiple regression; model selection techniques; detection of influential points, goodness-of-fit criteria; principles of experimental design; analysis of variance for a number of designs, including multi-way factorial, nested, and split plot designs; comparing two or more regression lines; and analysis of covariance. Emphasizes appropriate design of studies before data collection, and the appropriate application and interpretation of statistical techniques. Practical applications are implemented using a modern, widely available statistical package.


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Want to see correct answers? Login or join for free! Looking for Algebra worksheets? Check out our pre-made Algebra worksheets! Filter By Grade You are browsing Grade 9 questions. Previous Page 1 of 10 Next. Solve for x.
When graphing a linear function, there is always a y-intercept and an x-intercept. True False. Grade 9 Quadratic Equations and Expressions. Expand and simplify. Factor the expression. Which equation represents the graph? Find the solution of the following equation. Which equation represents the graph of the parabola? Simplify as much as possible. Which of the following is NOT a quadratic equation?
You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.Yes, I know it's tough. You've finally mastered factoring and using the quadratic formula and now you are asked to solve more problems!
Except these are even more tough. Now you have to figure out what the problem even means before trying to solve it. I completely understand and here's where I am going to try to help! There are many types of problems that can easily be solved using your knowledge of quadratic equations.
You may come across problems that deal with money and predicted incomes financial or problems that deal with physics such as projectiles. You may also come across construction type problems that deal with area or geometry problems that deal with right triangles. Lucky for you, you can solve the quadratic equations, now you just have to learn how to apply this useful skill.
Find the maximum height attained by the ball. Let's first take a minute to understand this problem and what it means. We know that a ball is being shot from a cannon. So, in your mind, imagine a cannon firing a ball. We know that the ball is going to shoot from the cannon, go into the air, and then fall to the ground.
Now let's talk about what each part of this problem means. In our equation that we are given we must be given the value for the force of gravity coefficient of t 2.
Take a look Now that you have a mental picture of what's happening and you understand the formula given, we can go ahead and solve the problem. Let's not stop here. Let's take this same problem and put a twist on it.
There are many other things that we could find out about this ball! How long did it take for the ball to reach the ground? Now, we've changed the question and we want to know how long did it take the ball to reach the ground. What ground, you may ask. The problem didn't mention anything about a ground. Let's take a look at the picture "in our mind" again. Do you see where the ball must fall to the ground.
The x-axis is our "ground" in this problem. What do we know about points on the x-axis when we are dealing with quadratic equations and parabolas? Yes, the points on the x-axis are our "zeros" or x-intercepts. This means that we must solve the quadratic equation in order to find the x-intercept. Let's do it! Let's solve this equation. I'm thinking that this may not be a factorable equation. Do you agree? So, what's our solution? Hopefully, you agree that we can use the quadratic formula to solve this equation.
The first time doesn't make sense because it's negative. This is the calculation for when the ball was on the ground initially before it was shot.How To Solve Word Problems Involving Quadratic Equations and Rational Algebraic Equations
This actually never really occurred because the ball was shot from the cannon and was never shot from the ground.Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials. Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter?
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Problem Solving. Professional Development. Test Preparation.We can follow the steps given below to solve word problems on quadratic equations. Step 1 :. Step 2 :. Solve the quadratic equation obtained using one of the methods given below. Step 3 :. Relate the solution obtained from one of the methods to the statement asked in the question.
Problem 1 :. Solution :. What is the width of the pathway? Problem 3 :. A bus covers a distance of 90 km at a uniform speed. Find the original speed of the bus. If you have any feedback about our math content, please mail us :.
We always appreciate your feedback. You can also visit the following web pages on different stuff in math. Variables and constants. Writing and evaluating expressions. Solving linear equations using elimination method. Solving linear equations using substitution method. Solving linear equations using cross multiplication method. Solving one step equations. Solving quadratic equations by factoring.Problem 1: A rectangular garden has an area of 14 m 2 and a perimeter of 18 meters.
Find the dimensions of the rectangular garden. The figure above shows how to set up the problem. Problem 2: The sum of two numbers is 12 and their product is What are the two numbers?
Grade 9 Algebra Word Problems
Problem 3: The quadratic equation for the cost in dollars of producing automobile tires is given below where x is the number of tires the company produces. Find the number of tires that will minimize the cost. To solve this problem, we just need 2 important concepts about quadratic equations. First, when we are trying to maximize or minimize, we need to use the formula below that will help us find the x-coordinate of the vertex.
Problem 4: You want to frame a collage of pictures with a 9-ft strip of wood. What dimensions will help you maximize the area? Solve for l and replace l in the formula for the area. Word problems involving quadratic equations.
Formula for percentage. Finding the average. Basic math formulas Algebra word problems. Types of angles. Area of irregular shapes Math problem solver. Math skills assessment. Compatible numbers. Surface area of a cube. Your email is safe with us. We will only use it to inform you about new math lessons. Follow me on Pinterest. Everything you need to prepare for an important exam! K tests, GED math test, basic math tests, geometry tests, algebra tests.
Tough Algebra Word Problems. If you can solve these problems with no help, you must be a genius! Real Life Math Skills Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.
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Word problems involving quadratic equations Check out these four great word problems involving quadratic equations in this lesson. Homepage Algebra lessons Word problems involving quadratic equations. Recent Articles. Check out some of our top basic mathematics lessons.
Formula for percentage Finding the average Basic math formulas Algebra word problems Types of angles Area of irregular shapes Math problem solver Math skills assessment Compatible numbers Surface area of a cube.Find these numbers.
Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calculate the current age of Peter. Calculate the dimensions of the farm. The three sides of a right-angled triangle are proportional to the numbers 3, 4 and 5. A rectangular garden 50 m long and 34 m wide is surrounded by a uniform dirt road. Calculate the dimensions of a rectangle whose diagonal is 75 m, knowing that is similar to a rectangle with sides measuring 36 m 48 m respectively.
Two natural numbers differ by two units and the sum of their squares is What are these numbers? Two taps A and B fill a swimming pool together in two hours.
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Alone, it takes tap A three hours less than B to fill the same pool. How many hours does it take each tap to fill the pool separately? The length of the sides of a right-angled triangle are measured as three consecutive even numbers in cm. Find the values of these sides. A rectangular piece of cardboard is 4 cm longer than wide. A square of 6 cm is cut out in every corner and the rims are folded upwards to create the box.
Find the dimensions of the box. The first faucet takes more than two hours longer to fill the same tank when functioning without the second tap. How long does it take to fill each one separately? Calculate the dimensions of a rectangle whose diagonal is 75 m, knowing that it is similar to a rectangle with sides measuring 36 m 48 m respectively. Time of A 3 hours. Time of B 6 hours. Hypotenuse 10 cm. You can get a Maths tutor near me on Superprof.
I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places. Leave this field empty. Quadratic Word Problems. Learn from home The teachers. Emma June 26, In order to learn how to solve quadratic equations by four different methods, please follow this tutorial ; it's detailed and offers plenty of worked examples and practice questions.
In this tutorial, I assume you have already got a good skill in solving quadratic equations as explained in the above tutorial. This tutorial primarily focuses on solving real-world problems involving quadratic equations. If you think you need a bit more practice before dealing with word problems, here is a question generator and a programme to check your answers:.
The following programme is interactive: by clicking on the buttons, you can generate a random equation and its solutions: they are randomly generated - and unlimited in number.
The book covers every single topic in depth and offers plenty of questions to practise. The questions progress well so that students can get a good conceptual understanding of every major topic. A disciplined practice through this book prepares the students for both examinations fully. There is enough coverage on new additions to the syllabus with a significant amount of questions.
The sum of two numbers is 27 and their product is Find the numbers. Let one number be x. The length of a rectangle is 5 cm more than its width and the area is 50cm 2. Find the length, width and the perimeter. Let the width be x. Find x and the area, if the longest side is 5. The product of two numbers is 24 and the mean is 5.
The sum of numbers is 9. The squares of the numbers is These are quadratic simultaneous equations. There are quite a few real life situations that can be modelled by a quadratic function in an accurate way.


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Class 2 Mental Maths
One key area you can really help your child with is mental maths. Being able to add, subtract, multiply and divide in your head and to solve problems using method and logic are the key foundations of maths skills, and speed and accuracy makes everything else in maths so much easier.
Building confidence in maths early on will pay back many times over. Repetitive learning increases confidence, improves speed and builds connections in the brain; skills that last a life time.
After the first few weeks, we will also be sending home some mental maths to learn, consisting of basic year 2 number facts we would like the children to know off by heart. These will also be tested (sometimes just verbally) on a Friday. These really improve your child’s overall maths ability so please try to spend five to ten minutes a day practising them.


Peggy Baker’s newest dance piece takes on mathematics as aesthetics on stage in Toronto
Veteran choreographer Peggy Baker has been creating dance in Toronto for more than forty years, but until now has only made shorter works, most of them solos. She’s an artist who understands the power of doing just what she means to do, no more and no less. It takes courage and intelligence to be that clear.
But with every choice she’s made over the last four decades, it seems that something else has been at work for Baker, something slowly building beneath the surface that’s now being let out.
On April 24, locus plot debuted at the Betty Oliphant Theatre, Baker’s first ever full evening ensemble performance, and her biggest, longest, and most ambitious work to date. What inspired this sudden, late career expansiveness? Mathematics.
At a pre-show talk on opening night, Baker described how she recognized the similarities between choreography and certain mathematical diagrams. With the help of mathematician John Mighton, she was able to shape that original inspiration into meaningful choreography. Like the name suggests, locus plot explores how defined spaces determine the patterns and trajectories they contain. It speaks to how conditions decide outcomes, and how shapes tell stories.
As source material, mathematics clearly works for Baker. locus plot brims with energy from start to finish—it’s never stagnant, it never gets stuck. The choreography is coherent but also urgent, self-contained but generative. Baker has found more than she needs to keep the work constantly evolving all the way through.
Normally, when we think of art and math, we think of something exquisitely well-organized, like a Bach concerto: power perfectly contained, like a steel ball floating in the air, or a tornado on the tip of a pin. Baker’s mathematical aesthetic shares some of that rigorously clean design, but she focuses less on the structural side of math, and more on math as a means of exploration. Baker likes the kind of math that’s scribbled on paper by someone feeling in the mind’s darkness, trying to solve a problem.
In this way, Baker’s work wards off resolution and preserves a sense of tension. Thankfully, locus plot isn’t closed like an equation—no matter what you do to an equation, the two sides are always equal—but open like an enigma. Each element is clearly stated in the dancer’s movements, but the way they fit together is precarious and uncertain.
As creatively abundant as it is, real mathematics isn’t the point of this work, and locus plot falters when it gives up on texture and suggestion in favour of didactic illustration. At one point, the dancers start naming the geometric parts of a circle—centre, circumference, diameter, radius—in robotic voices (because that’s what math sounds like), as if this isn’t a plot at all but a diagram that needs to be labelled.
The recurring wall projections of ambiguous mathematical drawings also feel too overt, like a commentary that keeps interrupting. But those few moments only seem heavy-handed because the rest of the work is so consummately well-made.
Baker’s collaborators are all excellent. Her dancers—Ric Brown, Sarah Fregeau, Kate Holden, Sean Ling, Sahara Morimoto—are equally powerful and each distinctly interesting, and Marc Parent’s lighting design is masterfully subtle and effective.
But locus plot wouldn’t have achieved its stunning balance of tendril-like searching and driving acuteness without the contributions of composer/performer John Kameel Farah and vocalographer Fides Krucker. Farah plays onstage throughout the performance, interweaving ambient electronic sounds with a synthesizer and piano. Krucker’s compositions are heard through the voices of the dancers, who channel a range of familiar-yet-surprising sounds through their movements—yawns that morph into ghoulish complaints, buzz-saw laments, wheezing bellows and tumbling roars.
Baker’s mathematical inspiration makes this work what it is, but even if I hadn’t known about any of that, I’m sure that locus plot would have affected me just as strongly. This piece isn’t good because it elucidates the properties of figures in space, but because it reveals vital dynamics between those figures and imbues them with immediacy and force.
However they did it, Baker and her collaborators have made a work of arresting beauty and vitality. Go.
- locus plot is running until May 3 at the Betty Oliphant Theatre (404 Jarvis St).
- Evening performances start at 8:30pm. Matinees on April 26 and May 3 are at 4pm.
- General tickets are $28, or $22 for student/senior/CADA. Tickets can be purchased here or at the box office at the Betty Oliphant Theatre one hour before the show starts.
Photo by Makoto Hirata.


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What does STEAM in NH look like?
STEAM champions innovation through achieving competencies in each subject area of Science, Technology, Engineering, the Arts, and Mathematics. Through project based learning, these subjects are often integrated to present a more holistic learning experience. STEAM challenges students through the application of 21st Century Skills: creativity, innovation, critical thinking, problem solving, communication and collaboration. Here's what STEAM looks like in NH...
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Preliminary Automatics Course
Chapter 18. Operational calculus
Chapter 18.1 Introduction
The appropriate Laplace transform F(s) is assigned to every time function f(t).
F(s) is a quotient of 2 polynomians.
f(t) ==>F(s) (Fig. 18-1a)
And vice versa.
The appropriate time function f(t) is assigned to every Laplace transform F(s).
F(s) ==>f(t) (Fig. 18-1b)
f(t)<==>F(s) (Rys. 18-1c)
Symbol s is a complex number. Don’t you know these numbers? Don’ bother yourself.
The particular example of the Laplace transform F(s)
F(s) for f(t)=cos(t)
Remember that f(t)=cos(t) for t>=0. For t<0 f(t) =0!!!! This rule involves all the time functions f(t).
The expression f(t)=F(s) is a absolute nonsense.
Chapter. 18.2 F(s) formula
It’s possible to calculate F(s) for easy functions f(t). For more complicated-no. I wondered to set this formula out even. Never mind If you aren’t math specialist. But you have to realise only, that there is a very clever book with all pairs f(t)<==>F(s). The pair from Fig. 18-2c belongs to this book.
The Fig.18-4 represents some of the most popular time functions f(t) used in the automatics. The Fig.18-5 are the pairs f(t)<==>F(s). This is a small part of this clever book.
Note that all these functions are null for t<0. All begins in time t=0 in automatics usually.
Number e=2,7182… used in 3 formulas is the most known in the mathematics as 0, 1 ,Π…
There is pair δ(t)<==>1 with Dirac pulse too.
Chapter 18.3 Laplace transform and derivation
The most important operational calculus formula.
This formula may be generalise for higher derivatives.
These formulas enable easy linear differrentiationd equations solution. You will be convinced in the next chapter.


The following example shows how to build a complex expression where the top level function, ratioPairs, operates on two groupBy functions nested at the same level.
The ratioPairs functions divide pairs of time series. The first groupBy expression is the numerator and the second groupBy expression is the denominator. Each groupBy function must have the same values. The denominator must have at least one (1) output metric.
Note: The ratioPairs and divideSeries functions each use a custom template, which contains the entire tree structure required for completing the function expression.
How to create a complex function using RatioPairs
- From the Navigation Panel, click Metric Explorer.
- Click above the expression.
- In the Function dropdown list, select ratioPairs.
The template for the ratioPairs function appears with the necessary expression tree structure:
- In each groupBy function node:
- In the Aggregation dropdown list, select the Aggregation type: Avg, Sum, Median, Max, Min, Std
- In the GroupBy dropdown list, select the property to group by.
- In each empty expression node, select property and value pairs, as required.
The Expression Builder now shows both groupBy functions within the ratioPairs function as completed.
- Save the expression (see the relevant saving sections here).


Superscripts and subscripts are letters and numbers that appear slightly above or below the main text, respectively. Each day, we encounter and use superscripts in various ways.
Examples of superscripts that we encounter daily appear in ordinal numbers such as 1st or 4th; the “degree” symbol in temperature °F or °C; and in mathematics when working with an exponent (power number) as in 33.
Here, are a two more examples of superscripts that are not regularly encountered unless you are reading or writing an academic paper that conforms to MLA style guide or you are a musician.
An example of a superscript symbol in academic writing can be found at the end of the following sentence. That number that corresponds to the same number of the Works Cited section2.
In music theory and keyboard harmony, the Roman numeral indicates the triad built on the corresponding scale degree while the Arabic numerals indicate chord inversion, and if there are more than three different pitches in the chord, e.g., I6, ii4, V7.
Subscripts are less common than superscripts and usually not encountered daily unless you work in certain fields. One area where subscripts are common in chemistry used to indicate the number of atoms or protons, respectively N2 or 8O.
Music is another field where subscripts occur regularly. In music, subscripts indicate an altered cord as in♭III. In the field of computer science, subscripts occur regularly to indicate a number system as in 2010.
The combination of the superscript and the subscript is not encountered daily. The combined superscript and subscript is limited to certain disciplines like math and chemistry.
Examples of Combined Superscript and Subscript Symbols
For that reason, some may not have encountered the combined superscript-subscript symbol before. The images A1 through A4 are examples of combined superscript-subscript symbols.
Music theory example
Some readers may be familiar with the concept of combined superscript and subscript symbols but do not know how to create it and need to know it for an assignment, report, or an article.
Such professionals include academic writers, chemistry, professional mathematicians, astronomers, and physicists. Rest easy, you’ve come to the right place. In the following section, we’ll create simultaneous superscript and subscript symbols in MS. Word.
Creating Combined Superscripts and Subscripts
Now, I’ll show you how I created the model (See B1) for this how-to article.
Reduce the numbers to balance out the letter U
1. First, open a new Word document.
2. Next, arrange the numbers and letters into columns from left to right and top to bottom.
Arrange symbols in order
The result is 9|32|54| U (without the vertical lines), but add a single space where I have a line.
Group the symbols
3. Then, select the number 9, it is the first number that’s made a superscript.
Highlight number 9 to superscript it.
4. Click the superscript button located in the toolbar.
Click the superscript button
4. That tells Word to superscript the highlighted character, the number nine in our case.
Number 9 as a superscript
5. The other numbers that need to be converted to superscripts are the numbers 3 and 5. Follow the same procedure used to superscript the number nine, begin by highlighting the number three. The following image shows the numbers nine, three, and five as superscripts.
Superscript the numbers 3 and 5.
7. The next step is to make the numbers two and four subscripts. Begin by highlighting the number two (See Image B6).
Highlight the number 2.
8. Click the subscript button located in the toolbar.
Click the Subscript button
9. Image B8 shows the number two as a subscript.
Number 2 as a subscript
10. Do the same to make the number four a subscript.
Both the numbers 2 and 4 as subscripts
At this point, they are still adjacent numbers, not vertically aligned. The Advanced Font tool is used to align the superscript and subscripts vertically. This tool makes it possible to position every character with exceptional precision. The superscript numbers nine, three, and five must be raised so that the subscript numbers, two and four, can be positioned beneath the three and five, respectively.
11. Highlight the number nine.
Highlight the superscript number 9
12. To access the Advanced Font tool, click Format from the top menu bar, then choose Font.
Select Format, then font.
13. On the Font window, you’ll see two buttons, Font and Advanced. Click the Advanced button. Click the Advanced button.
Click the Advanced button
14. On the Advance window, there are several drop-down fields. Go to one labeled “Position”.
Go to the Position drop-down menu
15. Click on the drop-down list located to the right of the word “Position.” Select “Raised.”
Choose “Raised” on the drop-down menu
16. To the right of the “Raised” drop-down list is the word “By” and there is a field to the right of that. Set the amount raised to “7 pt”.
Set the By field to 7 pt
17. Highlight the number 3.
Highlight number 3
18. Repeat these steps to raise the superscript numbers 3.
Superscript number 3 raised up
19. Repeat for the superscript number 5.
Raise the superscript number 5
21. The next step is the reposition the subscript number 2 beneath the superscript number 3. When repositioning subscripts, highlight the number that will be above it, the superscript number 3.
Highlight the superscript number 3
22. Once highlighted, click “Format” and then “Font” from the top menu.
Select Format, then font.
23. Then, click the “Advanced” button in the “Font” pop-up window.
Click the Advanced button
24. If you highlighted the superscript number 3, then, it will look like this
The Font window with previous setting
25. Go to the “Spacing” drop-down menu, select “Condensed”.
26. Condense by six points (6 pts).
Set Condensed by six points (pt)
Subscript 2 now beneath superscript 3
28. Repeat steps to move the subscript number 4 beneath superscript number 5.
Subscript number 4 positioned beneath superscript number 5.
29. All the numbers are vertically aligned correctly, but there is too much space between columns. Place the cursor in front of the superscript number 3 and press the delete key one time.
Move the second column a single space to the left.
30. Move the third next to the second.
Move the third column a single space to the left.
31. Now, move the letter U a single space left.
Move the letter U to the left
32. To improve aesthetic, reduce the superscripts and subscripts in font size to complement the U.
The finished product
Making the combined superscript-subscript symbol in MS Word is not difficult but there are a few important things to remember. The first is the order of the four key functional tools (superscript, subscript, raised, and condensed).
The second is to highlight the superscript symbol to the immediate left of the subscript symbol before repositioning (condensing) it.
Finally, although raising by 7 points and condensing by 6 points has worked well for me, you may need to experiment when using the raising and condensing commands due to the small differences that exist between fonts.
Leave a comment if you found this article helpful. If you liked my article, share it!


2 edition of Examples of the processes of the differential and integral calculus. found in the catalog.
Examples of the processes of the differential and integral calculus.
Duncan Farquharson Gregory
|Statement||Collected by D.F. Gregory.|
|Genre||Problems, exercises, etc.|
|The Physical Object|
|Number of Pages||524|
differential calculus, while about 30% of the course is devoted to integral calculus. Among the topics covered are: limits and rates of change, continuous functions, derivatives of polynomials, rational functions, trigonometric functions, curve sketching and optimization, applied word problems, the Riemann integral and the Funda-. Differentiation under the integral sign is an operation in calculus used to evaluate certain integrals. Under fairly loose conditions on the function being integrated, differentiation under the integral sign allows one to interchange the order of integration and differentiation. In its simplest form, called the Leibniz integral rule, differentiation under the integral sign makes the following.
Differential for sure. Derivatives are generally pretty easy to do. In fact, they are turing complete. However, integrals are not turing complete and can be very challenging to solve. The main method to solve integrals is u-substiution, which is a. One of the most interesting aspects of this book is the development of the Lebesgue Integral in terms of Upper and Lower often people do not understand the more abstract definition given in just about all other definition is parallel with that of the Riemann Integral from undergratuate book is a true gem.
calculus made easy: being a very-simplest introduction to those beautiful methods of reckoning which are generally called by the terrifying names of the differential calculus and the integral calculus. by f. r. s. second edition, enlarged macmillan and co., limited st. martin’s street, london BASIC CONCEPT OF DIFFERENTIAL AND INTEGRAL CALCULUS – In mathematics, differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus, the study of the area beneath a curve.. The primary objects of study in differential calculus are the derivative .
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This is a reproduction of a book published before This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc.
that were either part of the original artifact, or were introduced by the scanning process. I was cursing high school when I took a calculus class using this excellent book. The first semester covered differential calculus and the second semester with integral calculus. This book is an excellent start for a student to learn calculus.
This book describe the solutions of problems in easy steps. Indefinite integrals are functions that do the opposite of what derivatives do. They represent taking the antiderivatives of functions.
A formula useful for solving indefinite integrals is that the integral of x to the nth power is one divided by n+1 times x to the n+1 power, all plus a constant term.
Indefinite integrals, step by step examples. Difference between Differentiation and Integration. 5 p 1 NOTE: The preceding examples are special cases of power functions, which have the general form y = x p, for any real value of p, for x > 0.
If p > 0, then the graph starts at the origin and continues to rise to infinity. (In particular, if p > 1, then the graph is concave up, such as the parabola y = p = 1, the graph is the straight line y = x.
Elements of the differential and integral calculus. This is an amazing book related to differential and integral provides crystal clear explanations, is very consistent and goes gently deeply into each topic.
Author(s): William Anthony Granville, Percey F Smith and William Raymond Longley. Integral Calculus Made Easy. This book covers the following topics: Fundamental integration formulae, Integration by substitution, Integration by parts, Integration by partial fractions, Definite Integration as the limit of a sum, Properties of definite Integrals, differential equations and Homogeneous differential.
Calculus is all about the comparison of quantities which vary in a one-liner way. The calculus concepts are covered in class 12 math subjects and Science & Engineering applications.
Calculus is the branch of mathematics that deals with continuous change. In this article, let us discuss the calculus definition, problems and the application of calculus in detail. The second part of the book presents exact, approximate analytical and numerical methods for solving linear and nonlinear integral equations.
Apart from the classical methods, some new methods are also described. Each section provides examples of applications to speciﬁc equations.
( views) Differential and Integral Calculus by C. Love, E. Rainville - The MacMillan Company, This book presents a first course in the calculus. The text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, without a multitude of details.
In mathematics, calculus is a branch that is all about the assessment of numbers that varies in a one-liner way. This branch of mathematics deals with continuous change. Therefore, in this topic, we will teach about the definition of calculus, differential and integral calculus.
Get this from a library. Examples of the processes of the differential and integral calculus. [D F Gregory]. Examples of the processes of the differential and integral calculus. Cambridge [Eng]: J. and J.J.
Deighton, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: D F Gregory; William Walton. Read more Reviews & endorsements ' Applebaum has written a book that provides substantial depth and rigor, with a plethora of references.
A notable feature of the text that increases its appeal is the author's inclusion of applications of the theory of semigroups to partial differential equations, dynamical systems, physics, and probability.
course MATH Integral Calculus. I may keep working on this document as the course goes on, so these notes will not be completely ﬁnished until the end of the quarter. The textbook for this course is Stewart: Calculus, Concepts and Contexts (2th ed.), Brooks/Cole.
With few exceptions I will follow the notation in the book. These fundamentals are used by both differential and integral calculus. In other words, we can say that in differential calculus, an area splits up into small parts to calculate the rate of change. Whereas in integral calculus small parts are joined to calculates the area or volume and it is the method of reasoning or calculation.
The best for calculus good calculus books are Thomas calculs and calculus book by I.A Maron Piskunov explains fundamentals very clearly with lots of theory and examples. The best book for foundations of calculus.
Also good for IIT-JEE examReviews: Itô calculus, named after Kiyoshi Itô, extends the methods of calculus to stochastic processes such as Brownian motion (see Wiener process).It has important applications in mathematical finance and stochastic differential equations.
The central concept is the Itô stochastic integral, a stochastic generalization of the Riemann–Stieltjes integral in analysis. ii Leah Edelstein-Keshet List of Contributors Leah Edelstein-Keshet Department of Mathematics, UBC, Vancouver Author of course notes.
Justin Martel Department of Mathematics, UBC, Vancouver Wrote and extended chapters on sequences, series and improper integrals – January. 79 Integrals Chapter 7: Definite Integrals 81 Riemann Sums 86 Rules of Definite Integration 86 Fundamental Theorems of Calculus 88 Properties of Definite Integrals 89 Solving Definite Integrals with Directed Line Segments 90 u‐Subsitution 92 Special Techniques for Evaluation 94 Derivative of an Integral.
This textbook gives a comprehensive introduction to stochastic processes and calculus in the fields of finance and economics, more specifically mathematical finance and time series econometrics. Over the past decades stochastic calculus and processes have gained great importance, because they play a decisive role in the modeling of financial.
Examples of the processes of the differential and integral calculus Item Preview remove-circle Examples of the processes of the differential and integral calculus by Gregory, D[uncan] F[arquharson], Book from the collections of Harvard University Language English.
Book digitized by Google from the library of Harvard.Differential calculus is basically dealing with the process of dividing something to get track of the changes. On the other hand, Integral calculus adds all the pieces together. Differentiation deals with the calculation of a derivative which is the instantaneous rate of change of function taking into one of its variables into consideration.


Alisha is in the process of making ice cream. She has heated all the ingredients to 40 °C and put them in refrigerator to freeze. If the cooling rate is 11 °C per hour, what will be the temperature in freezer after 9 hours?
A shopkeeper mixes two variants of wheat in the ratio 1:2. The first variant costs 18 per kg, while the other costs 15 per kg. If the mixed wheat is sold at the price of 12.8 per kg then find the profit/loss percent incurred by shopkeeper.


3. Forecasting and Skill Testing Algorithms
FlowCast is not a mathematical model but rather a toolkit of mathematical and statistical algorithms. The main algorithms relate to (a) forecast generation, including stratified climatalogical forecasting and discriminant analysis algorithms; and (b) forecast skill assessment, including LEPS, ROC, percent consistent; and significance testing methodologies. These will now be described in turn.
3.1 Forecasting algorithms
3.1.1 Stratified Climatological Forecasting
Stratified climatological forecasts are generated by ‘sampling’ a subset of analogue years (a summary of the period of interest for each year) from the historical record according to some relevant criterion, and calculating relevant probabilities from the subset (Stone et al. 2003). The number of possible stratifications or ‘phases’ is predetermined for each predictive system, and impacts on the ‘quality’ of the results. Typically this ranges from three to five phases with greater numbers leading to small sample sizes. It is recommended that each stratification or subset contain at least 15-20 years of data in order for the methodology to be statistically viable. Also stratifications must be statistically different from one another (which can be tested using non-parametric hypothesis testing) for there to be any skill in the forecasts.
3.1.2 Discriminant Analyisis Forecasting
The discriminant analysis methodology employed in FlowCast is the same as that used by the Australian Bureau of Meteorology in their operational forecast system (Drowdowsky and Chambers 1998, 2001; Jones 1998). It aims to calculate the probability that rainfall at individual locations will be in a particular category (tercile, or above or below median) for the current state of predictor conditions. This method uses Bayes Theorem to ‘invert conditional probabilities’ (Huberty 1994; Wilks 1995) in a procedure similar to that used by Ward and Folland (1991) and He and Barnson (1996). It assesses the historical record to analyse how the predictand category varies with different predictor observations (such as SOI or SSTa principal compoents) and calculates conditional probabilities for the occurrence of new observations of predictor value for each category of predictand. This is not to be confused with ‘linear’ discriminant analysis (for example, see Wilks, 1995, pp409-415) which effectively stratifies rainfall data dynamically based on the discriminant groupings, resulting in only a subset of the training data being used to calculate probabilities. In comparison, the method described above uses all training data in calculating probabilities.
3.2 Skill testing algorithms
3.2.1 Percent Consistent
Percent consistent scores is one of the simplest hindcast based skill scores to calculate and interpret. They are calculated as the percentage of hindcast events where observed and predicted categories coincide. A predicted category is defined as the one with the highest forecast probability. For a tercile probability forecast, the base value for climatology is 33.3%, meaning that percent consistent scores higher than this will have greater skill than chance. For above/below median forecasts, the threshold is 50%. A limitation of this methodology is that that it weights all hindcasts the same, regardless of the strength of the forecast.
3.2.2 LEPS – Linear Error in Probability Space
FlowCast uses tercile (and above/below median) LEPS skill scores (Ward and Folland, 1991;Potts et al. 1996) as the principal tool for skill assessment. LEPS is a ‘hindcast’ based technique analogous to a scoring system that rewards good predictions and penalises bad ones by assigning some weighting proportional to the degree of difficulty of a forecast. This is achieved through measurement of the forecast error in probability space as opposed to measurement space. For tercile (and above/below median) LEPS scores, the “reward” and “penalty” coefficients can be pre-determined based upon probability-space considerations (Walsh et al. 2001). Multiple LEPS analyses can identify forecast “signals” highlighting the times of the year when a forecast will be most reliable, and the corresponding envelope of lead times that will maintain forecast reliability.
The range of possible tercile LEPS skill scores theoretically ranges from -100% to 100%. In practice, a score of 100% would never be achieved. For this to occur, the ‘hindcast’ analysis would have to be correct every year with rainfall occurring in the first or third category to achieve the maximum reward weighting. LEPS skill scores typically range non-linearly from -30% to 40%, but this can be influenced by the length of training record (LEPS skill score for a 100 year analysis can be about half that of a 50 years analysis), the number of phases in a stratification-based forecast, and also the number of predictors included in the discriminant analysis forecast. These factors also affect the ‘zero’ or base-value representing climatology, with LEPS scores less then ten often being ‘unskillful’ (see Rainman manual). For these reasons, it can be difficult to directly compare LEPS scores across different forecast systems.
3.2.3 Receiver Operating Characteristics
ROC scores are used to assess how skillful a forecasting system is in predicting different predictand categories. The methodology used in FlowCast is the same as that defined in WMO No.485 (2002). For a tercile probability forecast, there are three associated ROC scores. ROC is derived from contingency tables defining the hit rate and false alarm rate for hindcast outputs, which are considered binary with only two possible outcomes being an occurrence or non-occurrence. Hit rates and false alarm rates are calculated for each probability threshold to derive a ROC characteristic curve. ROC scores are then effectively the area under this curve with a perfect forecast system having a ROC score of one, and a system providing no valid information lying on the diagonal with an area of 0.5.
3.2.4 Significance testing : p-values
Significance testing is used to assess whether the skill of a forecast system is greater than that which is achievable by chance. This is done through a Monto-Carlo like process of comparing the skill of a given predictor/predictand system with multiple realisations of the predictand data formulated according to its statistical distribution pattern (Lennox et al. 2006). In practice, for each realisation, the individual predictand analogues are shuffled randomly to create a new time-series with the same characteristics of the reference predictand. These scores cannot be used to quantify the skill of a forecast system, as results only indicate whether the system is skillfull or not. P-values can be generated for any type of skill-score although they are very processor intensive to calculate with hundreds of realistions required for an accurate assessment.


are indicate key areas where a stock may reverse or stall. Fibonacci retracement levels connect any two points that the trader views as relevant, typically a high point and a low point. The percentage levels provided are areas where the price could stall or reverse.
Fibonacci retracements are a popular form of technical analysis used by traders in order to predict future potential prices in the financial markets. If used correctly, Fibonacci retracements and ratios can help traders to identify upcoming support and resistance levels based on past price action.


The first block in the gridfile, the geometry information block defines the dimensions of the flow domain.
DOMAIN_TYPE( TWODIMENSIONAL | AXISYMMETRIC | THREEDIMENSIONAL )
For example, the syntax for a three-dimensional flow geometry is:
The string DOMAIN_TYPE must be replaced with one of the three valid entries, TWODIMENSIONAL, AXISYMMETRIC, and THREEDIMENSIONAL. The default value is THREEDIMENSIONAL.
For 2D and axisymmetric models, the model must lie in the X-Y plane. For axisymmetric models, the X-axis is assumed to be the axis of symmetry.


Abstract—Compressive Sensing (CS) theory breaks through the limitations of traditional Nyquist sampling theorem, accomplishes the compressive sampling and reconstruction of signals based on sparsity or compressibility. In this paper CS is presented in a Bayesian framework for linear frequency modulated (LFM) cases whose likelihood or priors are usually Gaussian. In order to decrease the sampling pressure of hardware Bayesian CS (BCS) method is proposed which reconstructs the spectrum information of LFM signal via fractional Fourier transform (FRFT). On the different fractional orders of FRFT basis, the LFM signal has different forms of spectrum; from the spectrums we search the peak position to estimate the initial frequency and chirp rate of LFM signal. Simulation results show that by using the method this paper proposed it outperforms some existing algorithms demonstrating the superior performance of the proposed approach.
Index Terms—BCS, FRFT, LFM, estimation
Cite: Xiaolong Li, Yunqing Liu, Shuang Zhao, and Wei Chu, “Parameter Estimation of LFM Signal Based on Bayesian Compressive Sensing via Fractional Fourier Transform," Journal of Communications, vol. 11, no. 7, pp. 693-701, 2016. Doi: 10.12720/jcm.11.7.693-701
Copyright © 2013-2023 Journal of Communications, All Rights Reserved


Tools for Assessment and Instruction:
There are five main tools or activities in the Teachable Moment/ Power of Ten System. These tools are used at all levels and increase in sophistication and difficulty as the student moves through the system.
How Many Ways and What do I Know Activities:
These two activities can be very creative for students by involving them in discussions of their thinking and the connections they make over all the operations (+, -, x, ÷). These activities are performed daily in the early years, weekly in the late primary, and monthly in middle school. Click here for a short video.
Patterns and Relationships and Projects (Problem Solving and Problem Posing):
Younger students who are able to pose problems using numbers often show an increased understanding of the relationships between numbers and proficiency with their basic facts. This activity is never less than twenty percent of the program, and slowly increases to almost forty percent in the middle years. Projects such as designing a house, planning a party, or collecting data about their peers, help students make connections between mathematics and daily life in their homes and their community. This makes the math relevant and easier to learn. ‘Motivation’ is one of the key factors in learning – when students choose to design a house, or study the habits and interests of their peers, they increase their commitment to learning the math.
All the Facts:
The ‘basic facts’ are essential to estimating and therefore play a huge role in developing number sense. In this program the facts are given meaning through the Problem Solving and Weekly Graph (Data Analysis) activities. The Power of Ten program operates on the assumption that all students, with very few exceptions, can learn their basic facts without using fingers, number lines, or charts as crutches. Timed tests are not employed as research shows that highly competitive timed tests can result in some students developing ‘avoidance’ and ‘learned helplessness’ which contributes to a fear of math. Expectations for accuracy are high without students needing to use counting aids. The Power of Ten cards provide a ‘visual tool’ that every student can use to create confidence in learning his/her facts without using fingers, charts or other calculators.
Games and puzzles are naturally interesting to almost everyone. Games are creative and ‘good’ games always involve some kind of problem solving and pattern making. The games using the Power of Ten cards (ten-frames) allow students to create a visual picture for the numbers to twenty that can be used to create patterns for the basic facts. For example 6 + 9 involves taking 1 from the 6, giving it to the 9 to create a 10 and then adding 10 + 5 to get 15.
Subtraction is very easy especially for the questions involving regrouping. For example 13 – 9 is imagined as 10 + 3 – 9 and now the 9 is subtracted from the 10 so the answer is 1 + 3 = 4.
As students learn more games they can make choices which creates commitment to their learning. The amount of time spent playing games is reduced as the students get older.
Weekly Graphs (and data collection):
Data is used to create a context of meaning for the basic facts and for decimals, fractions and percent in the intermediate and middle school years. Students who collect and analyse data see the relevance to understanding the basic operations and the use of decimal fractions, common fractions and percents for comparing data. For example the following data allows the study of many mathematical operations:
Please visit the Updates and Free Downloads section of the this website for materials that can be downloaded to start using the Power of Ten/ Teachable Moment System.


What Calculators are Allowed On The SAT?
Taking the SAT can be a very tough, lengthy, and tiresome process for many high school students. Usually, Math problems can be solved with a calculator much more easily, therefore, it saves time.
But the real question that many students face is “Are Calculators allowed on SAT?” if so “What Calculators are Allowed on the SAT Test?”
Let’s dive in and find out acceptable calculators for the SAT Test.
Are Calculators allowed in SAT?
Yes, you can use calculators for SAT tests. However, it should be a calculator that is allowed on SAT tests. Calculators are a valuable tool that you can use on the SAT test since they can be used to solve math problems and calculations quickly and accurately.
However, there are sections on the SAT test where you are forbidden from using the help of a calculator. These rules can be found on the SAT Calculator Policy by College Board which administers the SAT test.
SAT Calculator Policy
SAT Calculator Policy allows test takers to use calculators on some sections of the test, but you have to bring your own calculator. SAT allows all four-function calculators, all scientific calculators and some graphing calculators as well which can be found on the SAT allowed calculators list down below.
Here are the calculator rules and some tips specified in the SAT Calculator Policy you may have to follow if you are bringing a calculator to SAT test.
SAT Calculator Rules You Have to Follow
These are the rules that you must follow on the SAT test regarding the use of calculators.
- They do not provide you with a calculator – You have to bring your own calculator for the SAT test.
- Modern Calculators are not Allowed – Some calculators with touch screens, internet, Bluetooth, and cellular functions are not allowed on the SAT test.
- Sharing is not Allowed – Sharing your calculator is not allowed on the SAT test. Therefore students have to bring their own calculators if they intend to use them for the test.
- Calculators with Power Cords are Forbidden – You can only bring calculators that use the power of a battery, calculators that use power cords are forbidden on the SAT test.
- No Calculator Section – You can’t use the calculator for the No Calculator Section on the SAT test.
- Forbidden Use of the Calculator – You cannot use the calculator to share information during the test or remove test questions or answers from the test room. If you do your test scores will be canceled.
Additional SAT Calculator Tips
Here are some additional tips for the SAT test regarding the usage of calculators on the SAT test.
- Don’t bring a Brand New Calculator – Don’t use a brand new calculator even from the SAT-approved calculator list since it would kill the time on the test if you are not familiar with the functions of the calculator.
- Calculators with Inch or Higher Characters or Raised Display – If you have a calculator that falls under this category, then you may be seated nearby the test coordinator for the SAT test.
- Don’t use a Four-Function Calculator – Even though all four-function calculators are allowed on the SAT it is not recommended to use one on the test. Since they may lack functions that are required for the SAT test.
- Check the Batteries First – Check the calculator is working properly before the test to make sure you won’t run into any problems during the test. If it won’t work during the test you may have to proceed without using the calculator.
- Do Scratch Work First – Before using the calculator for the allowed calculations make sure to do the scratch work first and then use the calculator to make sure the answer is correct.
- Math Calculation Section – This is the section where you could use the calculator, in other sections the calculator should not be even present on the desk.
When are Calculators Allowed on the SAT?
Since you now know that calculators are allowed on the SAT test, let’s find out in which sections you could use the calculator and what to do otherwise.
Keep in mind that you can only use calculators even the approved SAT calculators only in the Math Calculation Section of the SAT test. This section is clearly indicated on the test booklet in bold writing and the calculator icon on the top of the page.
Except for the Math Calculation Section on the SAT test, the calculator cannot be present on your desk during the test. If you do your test score might get canceled if the proctor notices the calculator on your desk during the No Calculator Section on the SAT test.
However, during the SAT Math Calculation Section, you should absolutely use the calculator and it would be okay to keep the calculator on the desk during that section only.
The Complete List of SAT Approved Calculators
So far we have gone over what calculators are allowed on the SAT test, SAT Calculator Policy, and the rules you have to follow when using calculators on the SAT test.
Now let’s dive into the obvious, calculators list allowed on the SAT. This approved calculator list includes brands such as Casio, Texas-Instruments, Hewlett-Packard, Radio Shack, Sharp, and others.
Let’s find out if your calculator is allowed on the SAT and if not what calculators you can use on the SAT test.
Casio Calculators Allowed on the SAT
According to the College Board website, these Casio calculator models are acceptable calculators for the SAT.
- FX-6000 series
- FX-6200 series
- FX-6300 series
- FX-6500 series
- FX-7000 series
- FX-7300 series
- FX-7400 series
- FX-7500 series
- FX-7700 series
- FX-7800 series
- FX-8000 series
- FX-8500 series
- FX-8700 series
- FX-8800 series
- Graph25 series
- FX-9700 series
- FX-9750 series
- FX-9860 series
- CFX-9800 series
- CFX-9850 series
- CFX-9950 series
- CFX-9970 series
- FX 1.0 series
- Algebra FX 2.0 series
- FX-CG-20 series
- Graph35 series
- Graph75 series
- Graph95 series
- Graph100 series
Note that stylus use is not permitted on the FX-CG-500 model.
Hewlett-Packard Calculators Allowed on the SAT
According to the College Board website, these Hewlett-Packard calculator models are acceptable calculators for the SAT.
- HP-28 series
- HP-39 series
- HP-40 series
- HP-48 series
- HP-49 series
- HP-50 series
- HP Prime
Radio Shack Calculators Allowed on the SAT
According to the College Board website, these Radio Shack calculator models are acceptable calculators for the SAT, per the College Board’s SAT website:
Sharp Calculators Allowed on the SAT
According to the College Board website, these Sharp calculator models are acceptable calculators for the SAT.
- EL-9200 series
- EL-9300 series
- EL-9600 series
- EL-9900 series
Note that the use of the stylus is not permitted with the EL-9600 series model.
TI – Texas Instruments Calculators Allowed on the SAT
According to the College Board website, these Texas Instruments calculators or TI calculator models are acceptable calculators for the SAT.
- TI-83 Plus
- TI-83 Plus Silver
- TI-84 Plus
- TI-84 Plus CE
- TI-84 Plus CE Python
- TI-84 Plus Silver
- TI-84 Plus C Silver
- TI-84 Plus T
- TI-84 Plus CE-T
- TI-84 Plus CE-T Python Edition
- TI-89 Titanium
- TI-Nspire CX
- TI-Nspire CX II
- TI-Nspire CX II-T
- TI-Nspire CM-C
- TI-Nspire CAS
- TI-Nspire CX CAS
- TI-Nspire CX II CAS
- TI-Nspire CX II-T CAS
- TI-Nspire CM-C CAS
- TI-Nspire CX-C CAS
- TI-Nspire CX II-C CAS
Other Calculators Allowed on the SAT
These Other calculator models are acceptable calculators for the SAT according to the College Board website.
- Datexx DS-883
Calculators that are Forbidden on the SAT Test
While all scientific calculators, all four-function calculators and graphing calculators are allowed on the SAT test, there are some calculators that might get you in trouble if you use them on the SAT test.
Calculators with the following functions and electronic devices listed down below are not allowed on the SAT test. If you use them even in the Math Calculation Section your SAT score will get canceled. So, avoid using them on the SAT test.
- Laptops of any kind.
- Computers of any kind.
- Tablets of any kind.
- Mobile phones of any kind.
- Smartwatches of any kind.
- Some calculators with touch screens such as the Casio ClassPad are not allowed.
- Any kind of wearable technology.
- Any calculator or device that can access the internet.
- Any calculator or device with wireless functionality.
- Any calculator or device with Bluetooth functionality.
- Any calculator or device with cellular functionality.
- Any calculator or device with audio recording or video recording capabilities.
- Any calculator or device that can play video.
- Any calculator or device that has a camera or any other smartphone or smartphone-like feature.
- Any calculator with a QWERTY-style keyboard, stylus, or pen input of any kind.
- Any calculator model with paper tape or uses an electrical outlet or makes any kind of noise.
- Any calculator with a power cord.
The Conclusion – What Calculators Are Allowed on the SAT?
All scientific calculators, all four-function calculators (not recommended), and some graphing calculators from brands such as Casio, Texas Instruments, Hewlett-Packard, Radio Shack, Sharp, and other brands are allowed on the SAT test.
Using a calculator in the Math Calculation Section of the SAT would save you a great deal of trouble and time. When using a calculator on the SAT test, make sure to follow the SAT Calculator Policy.


Set of wooden Number Blocks 40 Piece printed with numbers and mathematical operations. These beautifully crafted, smooth, wooden blocks have numbers 0 to 9 and the symbols ‘+,-,=’. They can be used as building blocks but will be exposing your child to numbers and symbols, which will allow them to start developing basic mathematics whilst playing in a creative, inventive environment.
This Number Blocks 40 Piece Set is manufactured by Bajo. Bajo focuses on producing ethical, environmentally friendly handmade wooded toys. The number blocks are made of solid wood, which complies with European standard of timber production. It is painted using the safest, certified non-toxic paints based on natural components, which fulfill EU safety standard (EN71) and US norms. Each finished product is individually inspected to ensure the highest quality before being dispatched from the factory.
Dimensions: 4 x 4 x 2 cm (1.6 x 1.6 x 0.8 in) x 40 pieces
Recommended age: 3 years+.


Time:16:00 pm, Dec. 6th
Lecturer: Dr. Wang Yonghai, vice professor of Donghua University
Content: Globally exponential k-dissipativity, a new concept of dissipativity for semigroups, is introduced. It provides a more general criterion of the exponential attraction of some evolutionary systems. Assuming that a semigroup has a bounded absorbing set, then the semigroup is globally exponentially k-dissipative if and only if there exists a compact set that is positive invariant and attracts any bounded subset exponentially. The set need not be finite dimensional, this result is illustrated with an application to a damped semilineare wave equation on a bounded domain.
Interested teachers and students are all welcomed!


Heavy Duty Center Finder Ruler
Heavy Duty Center Finding Ruler Eliminates Complex Calculations
This special ruler quickly and accurately finds the exact center of circles, squares and rectangles without tedious mathematical calculations. It's easy to use . . . simply equalize the readings on each side of zero and mark the center. Each side is cleanly etched with easy-to-read conventional and centering scales. Graduations include 8ths, 16ths, 32nds and 64ths of an inch, plus markings for angles of 15, 22.5, 30, 45, 60 and 90 degrees. So, it does double-duty as a protractor, as well. Made from stainless steel plate 2 inches wide x 12 inches long x .048 inches thick with hang-up hole. A valuable tool for woodworking, graphic arts and model making.