6.EE.A.2 Write, read, and evaluate expressions in which letters stand for numbers. 6.EE.A.2.A Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5 – y. 6.EE.A.2.B Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2(8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms. 6.EE.B.6 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
Objective: student will know structure of algebraic expressions.
10 Excel Formulas that will help you in any JobHitesh Biyani
These are some basic and moderate excel formulas but are widely used in a corporate world be it any industry. A must read for freshers looking to seek a job with profiles in Banking, Insurance, BPO / KPO (Data support), etc
How to use Hlookup find an exact match Excel Advise
In this presentation we are telling you guys that In Microsoft Excel How to use Hlookup find an exact match.
The H in HLOOKUP stands for horizontal.
Hlookup Function is used to search a value in another Table and if found return the corresponding value of that table for the specified row.
You can lookup value in one of the two following ways:
Range Lookup
Range lookup is used when you want to search for ranges, it will look for nearest minimum value from the first row of the table.
Exact Lookup
We use this kind of lookups when we need to seek exact value.
Lookup value is the value to be found in the first row of the table. It can be a number, text or cell address..
Table array is a range where you want to find your lookup value.
Row num is the row number in table array from which the matching value will be returned
Range lookup is a logical value that specifies whether you want HLOOKUP to find an exact match or an approximate match.
if range lookup is true then it will return you exact match or an approximate matching value. And if range lookup is false it will give you exact match.
10 Excel Formulas that will help you in any JobHitesh Biyani
These are some basic and moderate excel formulas but are widely used in a corporate world be it any industry. A must read for freshers looking to seek a job with profiles in Banking, Insurance, BPO / KPO (Data support), etc
How to use Hlookup find an exact match Excel Advise
In this presentation we are telling you guys that In Microsoft Excel How to use Hlookup find an exact match.
The H in HLOOKUP stands for horizontal.
Hlookup Function is used to search a value in another Table and if found return the corresponding value of that table for the specified row.
You can lookup value in one of the two following ways:
Range Lookup
Range lookup is used when you want to search for ranges, it will look for nearest minimum value from the first row of the table.
Exact Lookup
We use this kind of lookups when we need to seek exact value.
Lookup value is the value to be found in the first row of the table. It can be a number, text or cell address..
Table array is a range where you want to find your lookup value.
Row num is the row number in table array from which the matching value will be returned
Range lookup is a logical value that specifies whether you want HLOOKUP to find an exact match or an approximate match.
if range lookup is true then it will return you exact match or an approximate matching value. And if range lookup is false it will give you exact match.
One of the most popular function of Microsoft Excel is VLOOKUP. Most of the users when first time use this function are pretty confused, as it have several options through which it can operate. This slide presentation is created to help the people interested in learning this wonderful function.
Lesson2_MathematicalLanguageAndSymbols _Lesson 2.1_VariablesAndTheLanguageOfSets.pdf
This pdf tackles about the Mathematical Language and Symbols and the Variables and the Language of Sets.
This presentation contains definitions, tables, illustrations as well as examples.
I hope you'll find this helpful.
One of the most popular function of Microsoft Excel is VLOOKUP. Most of the users when first time use this function are pretty confused, as it have several options through which it can operate. This slide presentation is created to help the people interested in learning this wonderful function.
Lesson2_MathematicalLanguageAndSymbols _Lesson 2.1_VariablesAndTheLanguageOfSets.pdf
This pdf tackles about the Mathematical Language and Symbols and the Variables and the Language of Sets.
This presentation contains definitions, tables, illustrations as well as examples.
I hope you'll find this helpful.
30
2
37
-
-
K
K
30
2
37
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K
� EMBED Equation.3 ���-5
� EMBED Equation.3 ���5
Sum=b
0
Product=a x c
1x (-25)
x2+0x-25=0 substitute the value of bx to facilitate factorization
The denominator is a constant term
(x2+5x)(-5x-25)=0
x (x+5)-5(x+5)=0
(x+5)(x-5) are the factors for the domain
All values of x in the expression are included as dividing by the domain will yield a solution
Thus D=� EMBED Equation.3 ���
� EMBED Equation.3 ���The Domain is Integer 2 which divides any factor in the numerator. We factorize the Numerator to obtain the factors.
� EMBED Equation.3 ���-6
� EMBED Equation.3 ���5
Sum=b
-1
Product=a x c
1x (-30)
k2+5k-6k-30=0 substitute the value of bx to facilitate factorization
(k2+5k)(-6k-30)=0
k (k+5)-6(k+5)=0
(k+5)(k-6) are the factors for the domain
k=-5 and k=6 are the excluded values in the expression since they will equal 0 in any range of values.
Thus D={K:K� EMBED Equation.3 ���� EMBED Equation.3 ���,K� EMBED Equation.3 ���(-5) ,k� EMBED Equation.3 ���6}
L
� EMBED Equation.3 ���Factorizing the domain in the form we find factors:
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2
25
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30
2
37
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K
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INSTRUCTOR GUIDANCE EXAMPLE: Week One Discussion
Domains of Rational Expressions
Students, you are perfectly welcome to format your math work just as I have done in
these examples. However, the written parts of the assignment MUST be done about
your own thoughts and in your own words. You are NOT to simply copy this wording
into your posts!
Here are my given rational expressions oh which to base my work.
25x2 – 4
67
5 – 9w
9w2 – 4
The domain of a rational expression is the set of all numbers which are allowed to
substitute for the variable in the expression. It is possible that some numbers will not be
allowed depending on what the denominator has in it.
In our Real Number System division by zero cannot be done. There is no number (or
any other object) which can be the answer to division by zero so we must simply call the
attempt “undefined.” A denominator cannot be zero because in a rational number or
expression the denominator divides the numerator.
In my first expression, the denominator is a constant term, meaning there is no variable
present. Since it is impossible for 67 to equal zero, there are no excluded values for the
domain. We can say the domain (D) is the set of all Real Numbers, written in set
notation that would look like this:
D = {x| x ∈ ℜ} or even more simply as D = ℜ.
For my second expression, I need to set the denominator equal to zero to find my
excluded values for w.
9w2 – 4 = 0 I notice this is a difference of squares which I can factor.
(3w – 2)(3w + 2) = 0 Set each factor equal to zero.
3w – 2 = 0 or 3w + 2 = 0 Add or subtract 2 from both sides.
6.NS.C.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
Objective: Students will find the opposite of an integer by using a number line.
6.EE.A.1 Write and evaluate numerical expressions involving whole-number exponents.
Objective: Students will understand that the order of operations can be used to evaluate numerical expressions.
Key words
numerical expression
order of operations
Standards: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite
Objective: Understand the rules to solve two term integer subtract problems.
6.RP.A.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
6.RP.A.3.D Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
( Percents greater than 100% and less than 1%Amna Abunamous
Standards ; 6.RP.A.3.C Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
2.3 relate fractions ,decimals, and percents 2.4 find the pescents of a num...Amna Abunamous
Standards ; 6.RP.A.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. 6.RP.A.3.C Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
2.6 find the whole and 3.1 divide multi digit whole numbersAmna Abunamous
Standards ; 6.RP.A.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. 6.RP.A.3.C Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Objective: Students will find the whole given the percent and the part.
Objective: Students will use bar diagrams, equivalent ratios, double number lines, and ratio tables to find the percent of a number.
Lesson 3.2 compute with multi digit decimalsAmna Abunamous
6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation
Objective: find add and subtraction multi-digit decimals when the number of decimal places are not the same.
Objective: find multiply and divide multi-digit decimals when the number of decimal places are not the same.
the number system : multiply fractions and whole numbers, multiply fractions, multiple mixed numbers, divide whole numbers by fractions and divide fractions.
multiple mixed number fraction . it is whole number with fraction number. explain and example and practice of multiply mixed number fractions. last three slides review ( area of triangle and parallelogram , multiply and integers numbers.
Introduction of metric dimension of circular graphs is connected graph , The distance and diameter , Resolving sets and location number then Examples . Application in facility location problems . is has motivation (Applications in Chemistry and Networks systems). Definitions of Certain Regular Graphs. Main Results for three graphs (Prism , Antiprism and generalized Petersen graphs .
معلومات عامه عن الشخص الذي يكتب بيده اليسرى و بعض المعلومات العلميه و بعض
المشاهير و العلماء الذين يكتبون بيده اليسار و بعض الصعوبات التيي يواجه الاعسر
This presentation explores a brief idea about the structural and functional attributes of nucleotides, the structure and function of genetic materials along with the impact of UV rays and pH upon them.
Professional air quality monitoring systems provide immediate, on-site data for analysis, compliance, and decision-making.
Monitor common gases, weather parameters, particulates.
Nutraceutical market, scope and growth: Herbal drug technologyLokesh Patil
As consumer awareness of health and wellness rises, the nutraceutical market—which includes goods like functional meals, drinks, and dietary supplements that provide health advantages beyond basic nutrition—is growing significantly. As healthcare expenses rise, the population ages, and people want natural and preventative health solutions more and more, this industry is increasing quickly. Further driving market expansion are product formulation innovations and the use of cutting-edge technology for customized nutrition. With its worldwide reach, the nutraceutical industry is expected to keep growing and provide significant chances for research and investment in a number of categories, including vitamins, minerals, probiotics, and herbal supplements.
The ability to recreate computational results with minimal effort and actionable metrics provides a solid foundation for scientific research and software development. When people can replicate an analysis at the touch of a button using open-source software, open data, and methods to assess and compare proposals, it significantly eases verification of results, engagement with a diverse range of contributors, and progress. However, we have yet to fully achieve this; there are still many sociotechnical frictions.
Inspired by David Donoho's vision, this talk aims to revisit the three crucial pillars of frictionless reproducibility (data sharing, code sharing, and competitive challenges) with the perspective of deep software variability.
Our observation is that multiple layers — hardware, operating systems, third-party libraries, software versions, input data, compile-time options, and parameters — are subject to variability that exacerbates frictions but is also essential for achieving robust, generalizable results and fostering innovation. I will first review the literature, providing evidence of how the complex variability interactions across these layers affect qualitative and quantitative software properties, thereby complicating the reproduction and replication of scientific studies in various fields.
I will then present some software engineering and AI techniques that can support the strategic exploration of variability spaces. These include the use of abstractions and models (e.g., feature models), sampling strategies (e.g., uniform, random), cost-effective measurements (e.g., incremental build of software configurations), and dimensionality reduction methods (e.g., transfer learning, feature selection, software debloating).
I will finally argue that deep variability is both the problem and solution of frictionless reproducibility, calling the software science community to develop new methods and tools to manage variability and foster reproducibility in software systems.
Exposé invité Journées Nationales du GDR GPL 2024
Deep Behavioral Phenotyping in Systems Neuroscience for Functional Atlasing a...Ana Luísa Pinho
Functional Magnetic Resonance Imaging (fMRI) provides means to characterize brain activations in response to behavior. However, cognitive neuroscience has been limited to group-level effects referring to the performance of specific tasks. To obtain the functional profile of elementary cognitive mechanisms, the combination of brain responses to many tasks is required. Yet, to date, both structural atlases and parcellation-based activations do not fully account for cognitive function and still present several limitations. Further, they do not adapt overall to individual characteristics. In this talk, I will give an account of deep-behavioral phenotyping strategies, namely data-driven methods in large task-fMRI datasets, to optimize functional brain-data collection and improve inference of effects-of-interest related to mental processes. Key to this approach is the employment of fast multi-functional paradigms rich on features that can be well parametrized and, consequently, facilitate the creation of psycho-physiological constructs to be modelled with imaging data. Particular emphasis will be given to music stimuli when studying high-order cognitive mechanisms, due to their ecological nature and quality to enable complex behavior compounded by discrete entities. I will also discuss how deep-behavioral phenotyping and individualized models applied to neuroimaging data can better account for the subject-specific organization of domain-general cognitive systems in the human brain. Finally, the accumulation of functional brain signatures brings the possibility to clarify relationships among tasks and create a univocal link between brain systems and mental functions through: (1) the development of ontologies proposing an organization of cognitive processes; and (2) brain-network taxonomies describing functional specialization. To this end, tools to improve commensurability in cognitive science are necessary, such as public repositories, ontology-based platforms and automated meta-analysis tools. I will thus discuss some brain-atlasing resources currently under development, and their applicability in cognitive as well as clinical neuroscience.
Seminar of U.V. Spectroscopy by SAMIR PANDASAMIR PANDA
Spectroscopy is a branch of science dealing the study of interaction of electromagnetic radiation with matter.
Ultraviolet-visible spectroscopy refers to absorption spectroscopy or reflect spectroscopy in the UV-VIS spectral region.
Ultraviolet-visible spectroscopy is an analytical method that can measure the amount of light received by the analyte.
Earliest Galaxies in the JADES Origins Field: Luminosity Function and Cosmic ...Sérgio Sacani
We characterize the earliest galaxy population in the JADES Origins Field (JOF), the deepest
imaging field observed with JWST. We make use of the ancillary Hubble optical images (5 filters
spanning 0.4−0.9µm) and novel JWST images with 14 filters spanning 0.8−5µm, including 7 mediumband filters, and reaching total exposure times of up to 46 hours per filter. We combine all our data
at > 2.3µm to construct an ultradeep image, reaching as deep as ≈ 31.4 AB mag in the stack and
30.3-31.0 AB mag (5σ, r = 0.1” circular aperture) in individual filters. We measure photometric
redshifts and use robust selection criteria to identify a sample of eight galaxy candidates at redshifts
z = 11.5 − 15. These objects show compact half-light radii of R1/2 ∼ 50 − 200pc, stellar masses of
M⋆ ∼ 107−108M⊙, and star-formation rates of SFR ∼ 0.1−1 M⊙ yr−1
. Our search finds no candidates
at 15 < z < 20, placing upper limits at these redshifts. We develop a forward modeling approach to
infer the properties of the evolving luminosity function without binning in redshift or luminosity that
marginalizes over the photometric redshift uncertainty of our candidate galaxies and incorporates the
impact of non-detections. We find a z = 12 luminosity function in good agreement with prior results,
and that the luminosity function normalization and UV luminosity density decline by a factor of ∼ 2.5
from z = 12 to z = 14. We discuss the possible implications of our results in the context of theoretical
models for evolution of the dark matter halo mass function.
Richard's aventures in two entangled wonderlandsRichard Gill
Since the loophole-free Bell experiments of 2020 and the Nobel prizes in physics of 2022, critics of Bell's work have retreated to the fortress of super-determinism. Now, super-determinism is a derogatory word - it just means "determinism". Palmer, Hance and Hossenfelder argue that quantum mechanics and determinism are not incompatible, using a sophisticated mathematical construction based on a subtle thinning of allowed states and measurements in quantum mechanics, such that what is left appears to make Bell's argument fail, without altering the empirical predictions of quantum mechanics. I think however that it is a smoke screen, and the slogan "lost in math" comes to my mind. I will discuss some other recent disproofs of Bell's theorem using the language of causality based on causal graphs. Causal thinking is also central to law and justice. I will mention surprising connections to my work on serial killer nurse cases, in particular the Dutch case of Lucia de Berk and the current UK case of Lucy Letby.
1. Write Algebraic
Expressions
6.EE.A.2 Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.A.2.A Write expressions that record operations with numbers and with letters standing for numbers. For example,
express the calculation “Subtract y from 5” as 5 – y.
6.EE.A.2.B Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient);
view one or more parts of an expression as a single entity. For example, describe the expression 2(8 + 7) as a product of
two factors; view (8 + 7) as both a single entity and a sum of two terms.
6.EE.B.6 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem;
understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a
specified set.
Ms.Amna
